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*



UNITED STATES DEPARTMENT OF COMMERCE • Maurice H. Stans, Secretary

0 NATIONAL BUREAU OF STANDARDS • Lewis M. Branscomb, Director

Atomic Transition Probabilities

Volume II Sodium Through Calcium

A Critical Data Compilation

W. L. Wiese, M. W. Smith, and B. M. Miles

Institute for Basic Standards

National Bureau of Standards

Washington, D.C.

NSRDS-NBS 22

National Stand. Ref. Data Ser., Nat. Bur. Stand. (U.S.), 22, 306 pages (Oct. 1969)

CODEN: NSRDA

Issued October 1969

For sale by the Superintendent of Documents, U.S. Government Printing Office Washington, D.C. 20402 - Price 34.50
IN A I IUNML BUKhAU Oh olAINDAKUb

JAN 1 2 19 70

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Library of Congress Catalog Card No. 65-60078
FOREWORD

The National Standard Reference Data System provides effective access to the quantitative data of phisical science,

critically evaluated and compiled for convenience, and readily accessible through a variety of distribution channels. The

System was established in 1963 by action of the President’s Office of Science and Technology and the Federal Council for Science and Technology, with responsibility to administer it assigned to the National Bureau of Standards. The System now comprises a complex of data centers and other activities, carried on in academic institutions and other

laboratories both in and out of government. The independent operational status of existing critical data projects is maintained

and encouraged. Data centers that are components of the NSRDS produce compilations of critically evaluated data, critical reviews of the state of quantitative knowledge in specialized areas, and computations of useful functions derived from stand- ard reference data. In addition, the centers and projects establish criteria for evaluation and compilation of data and make

recommendations on needed improvements in experimental techniques. They are normally closely associated with active research in the relevant field. The technical scope of the NSRDS is indicated by the principal categories of data compilation projects now active or being planned: nuclear properties, atomic and molecular properties, solid state properties, thermodynamic and transport

properties, chemical kinetics, and colloid and surface properties.

The NSRDS receives advice and planning assistance from the National Research Council of the National Academy of Sciences-National Academy of Engineering. An overall Review Committee considers the program as a whole and makes

recommendations on policy, long-term planning, and international collaboration. Advisory Panels, each concerned with a

single technical area, meet regularly to examine major portions of the program, assign relative priorities, and identify

specific key problems in need of further attention. For selected specific topics, the Advisory Panels sponsor subpanels

which make detailed studies of users’ needs, the present state of knowledge, and existing data resources as a basis for recommending one or more data compilation activities. This assembly of advisory services contributes greatly to the guidance

of NSRDS activities. The NSRDS—NBS series of publications is intended primarily to include evaluated reference data and critical reviews

of long-term interest to the scientific and technical community.

Lewis M. Branscomb, Director

CONTENTS

General Introduction

A. INTRODUCTORY REMARKS

B. SCOPE OF THE TABLES

C. CRITICAL REVIEW OF THE DATA SOURCES AND METHOD OF EVALUATION

1. General Review of the Problem

2. The Critical Factors for Determining Transition Probabilities

a. Critical Factors in the Experimental Methods

a. Measurements in Emission

/3. Measurements of Anomalous Dispersion

y. Lifetime Measurements

b. Critical Factors in the Theoretical Methods

a. Calculations Based on Self-Consistent Field (SCF) Wave Functions

/3. The Nuclear Charge-Expansion Method

y. The Coulomb Approximation

8. LS-coupling

c. Critical Factors for Forbidden Lines

3. Exploitation of Systematic Trends

a. Dependence of /-values on Nuclear Charge Z

b. Systematic Trends of /-values Within Spectral Series

c. Homologous Atoms *

d. Examples

4. Classification of Uncertainties

D. GENERAL ARRANGEMENTS OF THE TABLES

E. FUTURE PLANS AND ACKNOWLEDGMENTS

References

Key to Abbreviations and Symbols Used in the Tables

Useful Relations

Conversion Factors

List of Tables

Page

111

iii

iii

iiiv

vii

viiix

xX

XX

xiv xv

xv

xv

xvi

xvi

xvii

Spectrum Page Sodium Nal 1 Nan 8 Nam 9 Naiv 12 Na V 14 Navi 16 Navn 19 Na VIII 21 Na IX 23 Magnesium Mg 1 25 Mg ii 29 Mg iii 31 Mg iv 32 Mg v 34

Mg vi 35 Mg vii 37 Mg viii 40 Mg ix 42 Mgx 44 Mg xi 46

Aluminum All 47

Alii 51 Aim 56

A1 iv 58

A1 v 59

A1 vi 60

A1 vii 61 A1 viii 63

Al ix 65

Al x 67

AI xi 69

Al xii 70

Spectrum Pape

Silicon Si 1 71 Sin 76

Si III 81

Si IV 87

Siv 91

Si vi 92

Si VII 93

Si viii 94

Si ix 96

Si X 98

Si XI 101

Si xii 103 Phosphorus Pi 105 Pn 110 Pm 114 Piv 116 Pv 120 Pvi 121 P vii 122 P viii 123 P ix 124 Px 127 P xi 128 P xii 130 P xm 131 Si 133 Sn 138 Sin 145 S iv 148 S v 150 S vi 152 S vii 154

Sulfur
List of Tables — Continued

Spectrum Pape Sulfur — Continued

Sviii 154 S IX 155 S x 156 S xii 157 Chlorine Cl 1 158

Cl II 162

Cl in 171 Cl iv 177 Civ 179

Cl vi 180 Clvn 182

Cl viii 184

Cl ix 184

Cl x 185 Argon Arl 187 Am 201 Arm 211 Ar IV 214 Arv 216

Arvi 218 Ar VII 219 Ar viii 220 Ar IX 222 Ar x 222 Ar XI 223 Ar XIII 223

Arxiv 224

Spectrum Pape

Potassium K 1 225

Km 233

K iv 234

K v 236

Kvi 237

K vii 239

K viii 240

Kix 241 K x, 242 K xi 243

K xiv 244

Calcium Cal 245

Can 250

Ca iv 255

Cav 256

Ca vi 257

Cavil 259

Cavm 260

Caix 261 Ca X 263

Ca XI 264

Caxn 265

Caxm 266

Ca xv 266

List of Recent Additional Material 268
ATOMIC TRANSITION PROBABILITIES*

(A critical data compilation)

Volume II

Elements Sodium through Calcium

W. L. Wiese, M. W. Smith, and B. M. Miles

Atomic transition probabilities for about 5,000 spectral lines of the second ten elements, based on all available literature sources, are critically compiled. The data are presented in separate tables for each element and sta<ie of ionization. For each ion the transitions are arranged according to multiplets, supermultiplets, transition arrays, and increasing quantum

numbers. Allowed and forbidden transitions are listed separately. For each line the transition probability for spontaneous

emission, the absorption oscillator strength, and the line strength are given along with the spectroscopic designation, the wavelength, the statistical weights, and the energy levels of the upper and lower states. In addition, the estimated accuracy and the source are indicated. In short introductions, which precede the tables for each ion, the main justifications for the choice of the adopted data and for the accuracy rating are discussed. A general introduction contains a detailed discussion

of the critical factors entering into each major experimental and theoretical method. It also includes a general critical assessment of the widely used Coulomb approximation, and a number of illustrative examples for the exploitation of regularities or systematic trends among oscillator strengths.

Key Words: Allowed and forbidden transitions; oscillator strengths; transition probabilities; sodium; magnesium;

aluminum; silicon; phosphorus; sulfur; chlorine; argon; potassium; calcium.

A. INTRODUCTORY REMARKS

This is the second part of a continuing effort to critically

evaluate and compile atomic transition probabilities. After

completion of the first part which contained the available

data for the elements hydrogen through neon [1], we scanned

through the /-value** literature [2] for the heavier elements

and found somewhat to our surprise that the numerical

material on the elements with atomic numbers 11 through 20,

i.e., up to the first element of the iron group, was rather

extensive and appeared to be fairly well distributed throughout these spectra, including the higher stages of ionization.

We therefore decided to systematically evaluate the data

for these elements of the third period of the periodic system

and in addition K and Ca. In the course of our preliminary

survey we found several serious gaps and discrepancies in

the data. Several research teams, in particular our own

Plasma Spectroscopy Section at NBS, undertook the task

to improve the situation for these spectra. Thanks to these

efforts and to the availability of the Coulomb approximation

by Bates and Damgaard [3], as well as to the exploitation

of many evident regularities among atomic /-values [4], we

are now able to present a fairly complete body of material

of moderate accuracy. However, need for further improvement is quite evident on close inspection of the tables,

especially for the important spectra of Si I, Pi and P II. The still rather unsatisfactory status of the numerical data

with regard to accuracy is probably best indicated by the

fact that this extensive compilation contains only two allowed

transitions classified as having an uncertainty of less than

3 percent, namely the Na-D lines.

Supported by the Advanced Research Projects Agency of the Department of Deiciise, undei

Project DEFENDER.

B. SCOPE OF THE TABLES

In our present compilation we maintain the scope and

format of our earlier Volume I [1], i.e., we present critically

evaluated transition probabilities of allowed and forbidden

discrete transitions of elements Z— 11 through 20 including

all stages of ionization for which we have data. As source

material all the literature references contained in [2] plus

some more recent papers have been used.

We have aimed again at presenting fairly reliable /-values

for at least all the strong characteristic lines of the various

atoms and ions in order to present a table of general useful- ness. Specifically, we have tried to include at least the first half of the multiplets listed for each spectrum either in the

“Revised Multiplet Table” [5], in the “Ultraviolet Multiplet

Table” [6] or in the recent “Selected Tables of Atomic

Spectra” [7]. Aside from this objective of listing the stronger lines, we

have included all additional available material with uncertainties not exceeding 50 percent. Most of the final tabulations were undertaken during 1967 and the first half of 1968.

Thus, essentially all literature through 1967 and in some

cases even later work could be taken into account.

C. CRITICAL REVIEW OF THE DATA

SOURCES AND METHOD OF

EVALUATION

1. General Review of the Problem

The present status of our knowledge of atomic transition

probabilities must still be considered as being far from ideal.

**Hereafter, we shall use the equivalent terms “transition probability, oscillator strength or /-value, and line strength" on an interchangeable basis. The numerical relationships between these

quantities are given in the conversion table at the end of this General Introduction.

1
but some good progress has been made during the last few

years. In particular, the increased availability and use of

computers have made feasible much more refined theoretical

approaches than would have been thought possible just a few years ago. Among the recent theoretical advances the

multiconfigurational approach, also called the method of

“superposition of configurations” (SOC), developed by

Weiss [8, 9, 10] and others [11, 12, 13, 14] should be especially

singled out. Another significant recent development has been

the application of the nuclear charge-expansion method to the calculation of /-values by Dalgarno and his co-workers

[15, 16, 17]. On the experimental side, the Hanle effect

method of measuring accurate atomic lifetimes must be

especially mentioned as a method brought into recent

prominence by the productive work of several groups, not- ably by Lurio and others [18, 19]. Many other proven methods

have progressed quite a bit by the introduction of modern

data processing techniques, which have made the data much

more amenable to statistical error treatments. Finally, the

detection of many systematic trends and regularities among

/-values (see also C.3) ties many independently determined

data together for the first time and has thus established a

reliable framework of values. In Volume I w*e have already given a short description of

the major experimental and theoretical methods from which

the bulk of the data are obtained; thus we do not have to repeat this here. For detailed descriptions of the various

approaches we would also like to refer to two recent review

articles, namely a review of the theoretical approaches by

Layzer and Garstang [20] including those for forbidden lines

and a general discussion of the various experimental

methods by one of us [21].

The central problem of this compilation is the evaluation

of the reliability and accuracy of the available data. Since

this aspect is so crucial, we want to discuss it in detail again

and thus complement and add to the remarks we have al- ready made in our earlier published volume.

First the principal four guide-posts should be stated by

which we have evaluated the accuracy of the data. These are:

I. The author’s evaluation of his uncertainties.

II. The degree of agreement between the results and

other reliable material.

III. The author’s consideration of all major critical

assumptions and factors entering into the results.

IV. The degree of fit of the data into established regularities and systematic trends or consideration of possible reasons for deviations.

Only a few general comments may be made about points

I and II. All further remarks on these points depend so much

on the particular available material that they have to be

relegated to the individual introductions for each spectrum.

Our principal comment on the authors’ estimates of their

uncertainties is that we have sometimes found experimentalists to give only estimates of their statistical errors, but no allowance for any suspected systematic errors. On

such occasions we have been more conservative with our

estimates than the original authors. In many other instances

authors have been simply too optimistic in their error esti- mates, as is borne out by the discrepancies of their results

with other reliable material much outside the mutually

estimated error limits, or by discrepancies with well-established systematic trends.

Point II, i.e., specific comparisons with other data, does

not warrant any further general comment. Many of the

introductions on the individual spectra contain special

comments on this subject. An illustrative example of our

comparison tables will be given later in some other connection (see table 7).

2. The Critical Factors for Determining

Transition Probabilities

A detailed discussion is now in order on points III and IV.

Since the success of an experiment or a calculation is mainly a question of how well the critical factors encountered

in the particular method have been coped with, we have

sorted out and collected below the major factors which need

to be considered for the application of each of the major

experimental and theoretical methods. This list should

reflect the current state of our knowledge about the major

problem areas in the various methods. In each available

experiment or calculation, all these critical factors should

have been considered, e.g., all the assumptions and approximations going into the method should have been examined

for validity. Thus we may use these factors as a set of cri- teria by which to judge each paper: If they are properly

treated or accounted for, a paper should pass; otherwise it should be rejected from this compilation. However, we found

that at the present time we cannot judge the literature with

such a rigid procedure, since we would then lose many of the

available papers because, for example, it was sometimes not

feasible to consider all critical factors. We have therefore

relaxed our requirements and have often included slightly

defective papers, where, for example, the authors have not

properly accounted for all presently known sources of systematic errors but for most of them. In these cases we have

of course adjusted the estimated errors or we have discarded

the absolute scale of an experiment, if only this was defective, but have used the relative values.

a. Critical Factors in the Experimental Methods

a. Measurements in Emission — The largest number of

experimental /-values have been obtained from measure- ments of the intensities of spectral lines which are emitted

from plasmas under known conditions. With arc sources

the spectra of Mg I, Si I and II, S I and II, Cl I and II, Ar I and

II and Ca I, with shock tubes the spectra of S I and II. Cl I and II and Ar I and with a flame source the spectrum of

K I have been studied. In evaluating these experiments we

have especially investigated if the following critical assumptions and factors are satisfactorily taken into account by

the authors:

(a) Existence of local thermodynamic equilibrium (LTE)

or. for relative /-value measurements, existence of

partial LTE.

(b) Absence of self-absorption.

(c) Consideration of demixing effects in arcs.

(d) Consideration of the effects of boundary layers in shock tubes, and the effects of inhomogeneous zones

in sources assumed to be homogeneous.

(e) High density corrections in plasma sources.

(f) Consideration of the intensity contributions in the line

wings and for the background below the lines.

(g) Adjustments for inherent uncertainties in the diagnostic methods (for example, for uncertainties in plasma

line-broadening theory).

The largest uncertainties in the /-values result if the

requirements (a), (b), and (c) are not fulfilled. However, in the case of self-absorption, i.e., for deviations from requirement (b), strong lines are affected much more than the

weaker ones. If the points (d) through (g) are not properly

u
treated, then the effects on the transition probabilities are

( normally much smaller and hardly ever give rise to uncertainties above 50 percent.

Absorption experiments, which in this compilation are only encountered for the cases of Mg I and Cal, are quite

similar in their critical requirements to the above-discussed

emission experiments and will therefore not be discussed

further. At this point some comments are in order on the

extensive transition probability tables by Corliss and

Bozman [22]. The transition probabilities obtained by these

authors are derived from the spectral line intensity measure- ments of Meggers et al. [23]. Since the primary objective of

this work has been the measurement of line intensities on

a uniform scale, but not the measurement of transition probabilities, several of the critical factors and assumptions listed

above were not taken satisfactorily into account. Especially

the nonconsideration of our points (d), (a), and (c), in that

order, is probably responsible for many strong discrepancies

observed between their material and other data, ranging in

size up to factors of 20. Since we have other material, from

fairly reliable sources, for practically all the lines treated by

Corliss and Bozman, we have refrained from using any data

from their tabulation.

/3. Measurements of Anomalous Dispersion — We have

employed the data from several anomalous dispersion measurements, performed with the hook method, for the spectra

of Na I, Mg I, Al i, Si I, K I and Ca I. The most critical factors

of this method are the assumptions going into the determination of the populations of the atomic energy levels from

which the absorption of radiation takes place. We have

however in all cases circumvented this potentially large source of systematic uncertainty by employing the results

only on a relative scale, that is, by renormalizing the measured /-values to a scale different from the originally determined one.

y. Lifetime Measurements — Lifetime measurements with

the delayed coincidence and phase shift techniques as well

as with the Hanle effect have been carried out for Nal,

Mg I and II, All, Si I and II, Pi and II, Si and II, Cl I, Ar I and II, K I and Ca I and II. The derived transition probabilities, even though there are only very few per spectrum,

are among the most accurate ones available to date. The

major critical factors of lifetime experiments are:

(a) Radiative cascading.

(b) Radiation trapping or imprisonment.

(c) Collisional depopulation of a level.

(d) Self-absorption in the spectral lines emitted by the

light sources used for the excitation.

(e) Insufficient spectral resolution for the detection of the

radiation.

Points (a) and (e) can become potential sources of systematic errors only if nonmonoenergetic electron beams are used with energies sufficiently above the threshold energy

of the level to be observed, because in this case one has no way of selective excitation of the atomic energy levels. Thus,

if lines emitted from other levels have accidentally the

same or nearly the same wavelength as the transition to be

investigated, they would also be admitted to the detector if the spectral resolution of the system is insufficient. Selfabsorption in the light source used for the excitation (point

(d)) may be critical in Hanle effect experiments, since it leads

to a distortion in the measured shape of the output signal.

Cascading and radiation trapping, (a) and (b), normally tend

to lengthen the measured lifetime, while collisional depopulation (c) shortens it.

b. Critical Factors in the Theoretical Methods

Theoretical treatments have provided the large majority

of the data for this compilation. They contribute greatly to

all first and second spectra (with the exception of Ar I and

Ca i) and are the exclusive source on all higher spectra.

For the theoretical approaches the situation differs from

the experiments insofar as they cannot be subjected to a systematic error analysis, since there is no simple quantitative measure available for estimating the size of the uncertainties introduced by the various approximations in the

theoretical models. However, comparisons with accurate

experimental results, as well as analysis of the data in the

light of apparent regularities and sum rules, and, finally,

general consistency checks (for example, between the dipole

length and velocity approximations of the transition integral)

have accomplished a great deal towards exposing the critical

factors and finding general criteria which must be met for

obtaining reasonably reliable theoretical /-values. The two

main criteria may be stated as follows:

(a) For transitions with equivalent electrons present in

the upper or lower state the calculations should include the

effects of configuration interaction, since in this case one

cannot reasonably apply the independent-particle model to the jumping electron, but has to take into account correlation effects between the electrons.

(b) For transitions where the jumping electron is in a shell

by itself, the initial and final levels should be checked for

possible neighboring perturbing terms, in which case a configuration interaction treatment may become necessary.

But, unless such a special situation is encountered, the

standard one-electron approximations should be adequate,

provided the transition integral is not subject to strong

cancellation effects. The spectroscopic data should also be

examined for indications of spin-orbit interaction before a

particular coupling scheme is adopted.

a. Calculations Based on Self-Consistent Field (SCF) Wave

Functions. The often-employed SCF calculations have been

used in various levels of refinement, which may be arranged

in a hierarchy of approximations such as presented in

figure 1. Many comparisons with experiments have shown

the following: First, for transitions between moderately or highly excited states, i.e., with the jumping electron in a shell

by itself, the Hartree-Fock or the simplified Hartree-FockSlater approximations usually give adequate results, provided no cancellation in the transition integral and no

perturbing terms are present. Secondly, for transitions

involving orbits which strongly penetrate the core, polarization or relaxation of the core should also be taken into

account. Thirdly, if in the case of shell-equivalent electrons

(i.e., electrons with the same principal quantum number) the

interaction with other electrons is very strong, i.e., if the

independent-particle model breaks down, then the SCF

approach should be used in conjunction with an extensive

multi-configurational treatment (e.g., the superposition-ofconfigurations approach), or some equivalent procedure

which adequately represents the detailed effects of electron

correlations.

/3. The Nuclear Charge-Expansion Method. This method

has been recently applied to a number of transitions in

simpler atomic systems. Many comparisons with experiments

and other theoretical methods indicate that it produces nor- mally rather accurate /-values for high values of the nuclear

charge, i.e., for the highly charged ions in each sequence.

This statement applies primarily to the multiplet /-values,

while the individual line /-value may be affected by deviations from CS-coupling which generally increase for the

iii
FIGURE 1. Hierarchy of self-consistent field (SCF) approximations.
highly charged ions. This is clearly observed in figures 4 and

5, given later in connection with the discussion on the nuclear

charge dependence of /-values. But in figure 6 the few available data do not permit a definite conclusion at this time. The

same figures indicate, on the other hand, that the charge

expansion method is, in its present level of refinement, not

satisfactory at the neutral ends of isoelectronic sequences,

especially for those transitions where configuration effects are pronounced. A more complete treatment of these effects

is clearly needed.

y. The Coulomb Approximation. Some detailed remarks

about the Coulomb approximation [3] are in order since

we have extensively applied this very useful approximation

to fill many glaring gaps in the data. The Coulomb approximation does very well indeed in its proper range of application. This may be best seen when it is subjected to the two

possible checks mentioned earlier, namely, first to a comparison with the most accurate experimental data and sec- ondly to the degree of fit into the systematic trends.

Let us first review the comparisons with accurate experimental data: The most accurate ones are from lifetime

measurements where the uncertainties are typically 10

percent or less. We have therefore collected in table 1 all available comparisons between the Coulomb approximation

(when it is not subject to significant cancellation) and either

lifetime measurements or those other data which are based

on an absolute scale obtained from lifetime measurements.

We have ordered these data according to the complexity

of the spectra and type of transitions. One may draw the

following conclusions: for one-electron spectra (part a of

table 1) the agreement is very close as expected; for more

complex spectra (part b), but with the jumping electron in a shell by itself, the agreement is still quite good, even in the cases of Ar I and II, and it usually becomes better the

less penetrating the orbits of the states are; but, finally,

with equivalent electrons present, as in Mg I (part c). large

deviations are apparent which are not surprising since this

is really outside the range of application for this method.

Table la. Comparison between data from the Coulomb approximation and from accurate ex- perimental sources for one-electron spectra

Spectrum Transition

Multiplet /-value

Method and Authors*

Coulomb

Approx.

Experiment

Nai 3s — 3p 0.94 0.955 Life; Kibble et al. 0.975 Life; Link.

1.029 Life; Baylis.

3p — 4d 0.095 0.106 Life, and central field approx.; Karstensen and

Schramm; Prokofev.

4p — 4d 0.97 0.91 Life, and central field approx.; Karstensen and

Schramm; Prokofev.

Ms n 3s — 3p 0.89 0.96 Life; Smith and Gallagher.

Ki 4s — 4p 0.99 0.954 Life: Link.

1.02 Life; Sehmieder et al.

Ca ii 4s — 4p 0.99 0.97 Life; Smith and Gallagher.

3d— 4p 0.049 0.053 Life; Smith and Gallagher.

*The complete references are listed in the tabulations for each spectrum.

V
Table lb. Comparison between data from the Coulomb approximation and from accurate experimental sources for transitions where the jumping electron is in a shell by itself

Total line strength S

Spectrum Transition Array

Coulomb

Approx.

Experiment

Method and Authors*

Ar I 4s — 4p 333 352 Life and stabilized arc; Klose, and Popenoe and

Shumaker.

4/; — 6s 17.5 12.2 Life and stabilized arc; Klose, Bues et al., Corliss and

Shumaker (weak lines obtained from intermediate

coupling calculations of Johnston).

Ar II 4s — 4/; 468 419 Life and stabilized arc; Bennett et al.. Shumaker and

Popenoe, Schnapauff (weak lines obtained from

intermediate coupling calculations of Rudko and

Tang, Statz et al., and Garstang).

*The complete references are listed in the tabulations for each spectrum.

TABLE lc. Comparison between data from the Coulomb approximation and from accurate experimental sources for transitions with shell-equivalent electrons

Spectrum Transition

Multiplet /-value

Method and Authors*

Coulomb

Approx.

Experiment

Mg I 3s2 'S — 3s3p 'P° 1.656 1.85 Life; Lurio.

1.80 Life; Smith and Gallagher.

Ca i 4s2 1 S — 4s4p 'P° 1.83 1.79 Life; Lurio. 1.74 Life; Smith and Gallagher.

1.72 Life; Hulpke et al.

All 3s2 3p 2 P°— 3s2 3d 2 D 0.41 0.175 Life; Budick.

3s2 3p 2 P° — 3s2 4s 2 S 0.05 0.121 Life; Demtriider.

Si II 3s2 3p 2 P°— 3s2 3g? 2 D 0.57 0.57 Life; Lawrence and Savage.

3s2 3p 2 P° — 3s2 4s 2 S 0.065 0.129 Life; Lawrence and Savage.

Si I 3s2 3p2 :! P — Ss23p3d :1 D° 0.462 0.068 Life; Lawrence and Savage.

3s2 3p- ’P — 3s2 3p4s <P° 0.051 0.155 Life and intermed. coupl. calc; Lawrence and Savage.

'D-'P° 0.055 0.135 Life and intermed. coupl. calc; Lawrence and Savage.

'S-'P° 0.056 0.100 Life and intermed. coupl. calc; Lawrence and Savage.

The complete references are listed in the tabulations for each spectrum.
Table 2. Estimated uncertainties for {-values obtained from the Coulomb approximation

These estimates do not apply for cases with severe cancellation in the transition integral, for which the uncertainties are much higher. Transitions between states lower than the ones listed are considered outside the range of applicability of this approximation. The/-values for individual lines and multiplets may be sometimes

less accurate due to departures from the normally applied /.5-coupline (see C.2.b.fi.).

Transition Estimateduncertainty

(percent) Isoelectronic sequences

ls2

//!5 — 1 s

2 np (m = 2, 3 . . .; n = 2, 3 . .) 10-20' Lithium.

mp — ns (

m

= 2, 3 . . .: n = 2, 3 . • ) 10-20

mp — ncl (m = 2, 3 . . .; n = 3, 4 . • •) 10-20

\s 22smp — \s 22snd (m = 3, 4 . . ., n = 3,4 . • -)

2 25 Beryllium.

2pms — 2pnp (m = 3, 4 . . .; n = 3,4 . • -)

2 25 mp — rid (

m

= 3, 4 . . .; n = 3, 4 . • ) 25

ls2 2s22//'//is — \s 22s2 2p"ni> (m = 3. 4 . . n = 3, 4 . • •)

(a) u = 1, 2, 3 25 Boron, carbon, nitrogen, oxygen.

(b) a = 4, 5 50 Fluorine, neon. mp — nd (

m

= 3,4...;/? = 3, 4 . • •) (a) u = 1, 2, 3 25 Boron, carbon, nitrogen. oxygen.

(b) u = 4, 5 50 Fluorine, neon.

\s22s2 2pK ms — \s 22s22p*np (m = 3, 4 . . .; n = 3, 4 . •) 20-50Sodium.

111 p — ns or nd (m = 3, 4 . . .; n = 3, 4 . •) 20-50

md— np or nf (

m

= 3, 4 . . .; n = 4, 5 . •) 20-50

mf- nd (m = 4,5 . . .; n = 5, 6 . • •) 20-50

ls22s22pK3sms — \s22s22ps?>snp (m = 4,5 . . n = 4, 5 . -)

2 50 Magnesium.

111 p — ns or nd (m = 4,5 . . .; n = 4, 5 . • -)

2 50 md — np or nf (m = 3. 4 . . .; /? = 4. 5 • -)

3 50

mf- nd (m = 4. 5 . . .; /! = 5.6 • ) 50

ls22s22pHSs2 md — 1 s

22s22pH3s2 np or nf (

m

= 3,4...;/! = 4, 5 . •) 50 Aluminum.

ms — np (m = 4, 5 . . .; /! = 4, 5 . • •) 50 mp — ns or nd (m = 4, 5 . . .; /i = 4, 5 •) 50

mf— nd (

m

= 4,5 . . .; /! = 4. 5 • ) 50

ls 2 2s22//! 3s23//'m.s — 1 s

2 2s22p*3s23p"np Silicon, phosphorus, sul- (u = 1, 2, 3, 4. 3; m = 4, 5 . . .; /! = 4, 5 • •) 50 fur, chlorine, argon. mp — ns or nd

(u = l, 2, 3. 4, r. m = 4, 5 . . .; /! = 4, 5 • •) 50

1 Range depends on comparison material in isoelectronic sequence and goodness of fit into systematic trends.

- Configuration interaction studies indicate that configuration mixing effects, which are not included in the Coulomb approximation, may sometimes become

. significant for these transitions, especially for higher ions.

3 3d— \p triplets and 3d— 4/ singles only.

The Coulomb approximation results fit also remarkably

well into the systematic trends. As some instructive ex- amples we present figures 12, 14, 16, 19, 20, and 21 at the

end of this general introduction, which are presented there

in connection with other purposes. It is seen that the deviations of the Coulomb approximation results from the curve of best fit are hardly greater than 10 percent. Thus,

to sum up, the Coulomb approximation has in its proper

range of application consistently given good agreement

when reliable experimental comparisons have been available, and it fits well into the regularities. Therefore its ex- tensive use as well as its preference over some less accurate

experimental methods appear to be very well warranted.

Based on these comparisons and consistency checks, as well as on the general rule that transitions between non- penetrating orbits (like 3d — 4/) are more suitable for this

approximation than those involving strongly core-penetrating

orbits (like 3s — 3p), we have given the error assignments

collected in table 2. We feel that these error estimates for

the Coulomb approximation are quite conservative, but they

should only be upgraded when further comparisons confirm

the good agreement found up to now.

5. LS-coupling. A special word of caution is in order on

our extended use of LS-coupling to obtain individual line

/-values in multiplets (as well as multiplet /-values in transition arrays) from the Coulomb approximation as well as

vii
from other theoretical treatments. LS-coupling should

gradually become a less-reliable approximation as spectra

become more complex, and, on the other hand, as the stage

of ionization increases. The increasing presence of intercombination lines in the third row atoms is, for example, a clear indication of increased spin-orbit interaction.

In several instances fairly precise experimental data on

individual lines as well as theoretical values calculated in

LS and intermediate coupling are available. In cases where

intermediate coupling is expected to prevail, i.e., where

the differences between the two coupling schemes are pronounced, the experimental values agree indeed much

better with intermediate coupling theory [24, 25]. Of

highest practical importance is the fact that in such cases

the /-values of the stronger lines in multiplets are not nearly

as much affected as the weaker lines for which the differ- ences between the coupling schemes become then very

pronounced.

For this critical compilation we have taken the risk to break down very many multiplet strengths into individual

line /-values — since these are needed in most applications —

by using the LS-coupling scheme when no other data were

available. This has been done since the scarce experimental

eomparision material indicates that for most of the spectra

included in this compilation LS-coupling appears to be a

fair approximation. However, on the basis of the above

mentioned observation that the stronger lines in multiplets are usually much less affected by departures from LScoupling than the weaker components, we have differentiated between the strong and weak lines in multiplets and

lowered our accuracy assignments for the weaker lines.

In as much as this is a rather gross treatment of the data,

we feel that many accuracy assignments for individual lines can only be regarded as provisional. We feel also that ex- tended intermediate coupling calculations for many of the

spectra presented are urgently needed to settle the question

of how drastically departures from LS-coupling affect in- dividual atomic transition probabilities.

c. Critical Factors for Forbidden Lines

As in the first volume, we have listed as forbidden lines

all magnetic dipole, magnetic quadrupole and electric

quadrupole transitions, that is, all transitions which do not

fulfill the rigorous selection rules for electric dipole lines

(thus, ordinary intercombination lines are tabulated under

allowed transitions). Practically all material on forbidden

lines comes from calculations; only very few experimental

data are available as yet. Our principal sources have been

the extensive calculations by Naqvi [26] as well as the work

of Malville and Berger [27] , Garstang [28, 29] , Froese [30]

,

Pasternack [31], and Czyzak and Krueger [32, 33]. These

calculations are normally based on the general experssions

for the line strengths of forbidden lines in the ground state configuration, which were for the p

2

, p

:i and p

4 configurations given algebraically and tabulated by Shortley [34]

et al., and were later extended by Naqvi [26] to the few

transitions in the sp, p, and p

h configurations.

The principal differences between the various calculations

are the ways in which the most important atomic parameters

are chosen. Since the latter represent the most critical

factors affecting the results, we shall discuss the choice of

these parameters now in detail:

(a) The “spin-orbit ,” and “spin-spin and spin-other-orbit ”

integrals. These integrals, usually designated by £ and 17 , have been determined either empirically or by using available wave functions. Garstang has compared the empirical

viii

and theoretical values for some ions — the latter obtained

from SCF functions with exchange — and has found differ- ences of up to 20 percent for £ and up to 30 percent for p. When a choice is available, we have given preference to the

empirical values.

(b) The term intervals. Here one has the choice between

using exclusively experimental energy values or combining

some of these with the results of the Slater theory [35] for

intermultiplet separations, that is, by employing the Slater

parameters F2 . Differences between the two approaches

arise mainly due to the effects of configuration interaction.

These are neglected in all calculations and may cause deviations up to a factor of two. A study of Garstang [36] in 1956

led to the result that the exclusive use of observational

material partially includes, at least in simple cases, the

effects of configuration interaction, when the latter is others

wise not taken into account. Thus the work based on experimental term intervals has been adopted whenever available.

Naqvi [26] used in his calculations essentially the second

of the above-mentioned approaches. He compared empirically determined Slater parameters F> for the various term

intervals with theoretically derived values, and selected

the one experimental parameter which was in best agreement with theory. Then he employed this particular F> and

the Slater theory for the determination of all other term

intervals. In view of the above-mentioned study by Garstang we have used from Naqvi’s work normally only the

transition probabilities based entirely on this parameter,

i.e., based exclusively on observational material. For ex- ample, his data for the 2p

3 configuration have not been applied when other sources have been available. On the other

hand, Naqvi’s calculations for the simpler sp configuration

are all based an the empirical value for the one term interval

there and should, therefore, take the effects of configuration

interaction partially into account.

(c) Transformation coefficients. The atoms and ions under

consideration are most closely represented by the intermediate coupling scheme, but for the calculations of transition probabilities the actual wave functions are more

conveniently expressed in terms of LS-coupled wave functions. The transformation coefficients were first derived by

Shortley et al. [34] , and were later refined by several others,

in particular by Naqvi [26]. Thus, Naqvi's results have been

adopted whenever the choice of the transformation coefficients became important and when he accounted for the

effects of configuration interaction in the above-mentioned

manner. It is especially worth noting that by including the

effects of spin-spin and spin-other-orbit interactions on the

transformation coefficients of the 2p

4 configuration, some

results are changed by about 10 percent.

(d) The integral s q for electric quadrupole transitions.

This depends principally on the quality of the employed

wave functions. We have preferred calculations with SCF

wave functions over those with hydrogenic functions or screening constants and, among SCF calculations, we have

preferred those with exchange effects included over those

without exchange. The improvement with SCF wave functions against the former is estimated to be of the order of

20 percent. The uncertainty in s (l should generally be in the

neighborhood of 20 percent.

Some useful remarks may also be made about comparisons of the calculated forbidden line strengths with recent

experimental results. At the time when our first table of

transition probabilities was completed in 1965, we knew of

only one reliable comparison due to the fortunate circumstance that some forbidden [O ij lines have been observed
in the aurora, and their temporal variations have been

measured. In the meantime, some more forbidden lines have

been observed in the laboratory and some rather precise

measurements of transition probability ratios have been

achieved. With this new material, several instructive and

important comparisons are possible, especially for .[O i] and [S i]. Laboratory measurements of several transition

probability ratios of forbidden lines have been made in

emission by McConkey et al. [37], LeBlanc et al. [38],

Liszka and Niewodniczanski [39], and Kvifte and Vegard

[40] for [O i] and by McConkey et al. [41] for [S i]. A comparison of the experimental results with the calculated values

[32, 42] and our recommended “best” values is given in

table 3. The agreement is consistent with the error estimates

given in the theoretical papers. Other recent experiments

on [Pb] by Hults [43] and on [I] by Husain and Wiesenfeld [44] are also consistent with the theoretical error estimates. However, since only rather indirect comparisons

can be undertaken for these, they will not be discussed

here.

For some magnetic dipole transitions the line strengths

are, near LS-coupling, essentially given by the numbers

tabulated in table 4. The transition probabilities for these

lines are then simply obtained from the relations given in

the conversion table at the end of this general introduction

if the wavelength of the line is known. The numbers indicated by an asterisk in table 4 are exact values, while all the other numbers change slightly when deviations from

LS-coupling become significant. Naqvi has calculated —

for all the configurations encountered for the atoms and ions

listed in our table — the spectra at which the changes become noticeable. He finds that significant changes occur

only for the 2p

2 and 2p

4 configurations. His results are graphically presented in figures 2 and 3. From these curves one may conveniently obtain the line strengths for some very

highly charged ions like Cl XIII. These we have not listed,

since there are presently no energy levels and therefore no wavelengths available, so that the transition probabilities

cannot be tabulated as yet.

Table 3. Transition probability ratios for some forbidden lines of O I and S I

Line ratios

Experiment:

Theory:

Garstang

Recommended in LeBlanc NSRDS-NBS 4

et al. McConkeyet al.

Kvifte and

Vegard

Liszka and

Niewodniczanski

Ol:

A(5577)/A(2972) 22(±2) 18.6 17.6 20.0 A(6363)/A(6300) — 0.33 0.33 — 0.32 0.32 A(2972)/A(2958) - >200 - 45 210 180

McConkey Czyzak and Recommended

et al. Krueger. (this tabulation).

S I:A(7725)/A(4589) — 5.1 ±0.7* — - 5.09 5.09

Figure 2. Line strengths for the 3 P,— 3 P0 and 3P2 — 3 Pj

magnetic dipole lines of the 2p2 configuration within the

carbon isoelectronic sequence.

FIGURE 3. Line strengths for the 3Pi—3Po. and 3 PL

> — 3 Pi

magnetic dipole lines of the 2p4 configuration within the

oxygen isoelectronic sequence.

IX
Table 4. Line strength for some magnetic dipole lines near LS-coupling

Configuration Line S,„(at. u)

nsnp* 3P°_3p°

0 1 2.00 3p° :ip° 2.50

np 2P° 2po

* 1/2 ,3/2 • **1.33

np2 :! P»— 3 Pi 2.00

3 P,- :! P2 2.50

np3 2 ^-2 D° 2 2.40

2p° 2po

* 1/2 * 3/2 1.33

np4 ! P i

:i Pii 2.00

3P,—f P, 2.50

nph 2po 2po

.3/2 r

1/2 **1.33

*n = 2, 3 ... . ** Straight-number.

In analogy to the magnetic dipole lines discussed above,

there exist also among electric quadrupole transitions a number of cases where the transition probabilities are

essentially independent of the interaction parameters and

depend critically only on the quadrupole integral s Q

. These

are the transitions ^o - ! D2 , 3 Pu — 3 Pi, and 3 P-2 — 3 Po for the p

2 and p

4 configurations and 2 D°

/ „ — 2 P°/

., , 2 D°/2 — 2 P°/9 , 2 D°/2 —

2 P°/2 , for the p

3 configuration.

On the whole, the good agreement with the observations

and the assessment of the critical factors indicates that uncertainties no greater than 25 to 50 percent for the forbidden

lines have to be generally expected. For the particular magnetic dipole transitions tabulated in table 4 the uncertainties

should be much smaller, since their values are almost in- dependent of the choice of the interaction parameters, and

also the effects of configuration interaction and deviations

from LS-coupling do not enter sensitively into the numbers.

Thus the line strengths, especially for ions of lower charge,

are essentially exact values. But the respective transition

probabilities, on the other hand, often suffer from uncertainties in the energy level data, especially for the higher

ions. It is for this reason that we have generally not gone

beyond “B” in our accuracy ratings for these transitions.

Within a given spectrum the electric quadrupole lines

listed above should be the best available ones and they

have been estimated to be accurate within 25 percent, while

the rest of the quadrupole transitions should be accurate

within 50 percent. Electric quadrupole lines have been

normally rated to be of lower accuracy than magnetic dipole

lines, since the uncertainties in the quadrupole integral

must be added to the other uncertainties already present

for the magnetic dipole lines.

3. Exploitation of Systematic Trends

During the course of our compilation work we noticed

certain regularities in the data which we have then explored

and analyzed in detail. We have subsequently detected many

additional systematic trends, which establish now, for the

first time, a frame-work of reliable /-values tied together by

this regular behavior. The findings and conclusions of these

regularity studies have been extensively discussed in several

recent papers to which we refer for details [4]. Therefore

we shall give here only a summary by presenting the main

systematic trends exhibited in the data:

a. Dependence of f-values on nuclear charge Z. This dependence may be readily derived from conventional perturbation theory, with the result that / may be represented by

a power series in Z

_1

: /= an + OiZ -1 + aoZ~- + . . ., (1)

where the first term a<> is a hydrogenic /-value [4], which

vanishes for all transitions which do not involve a change in

the principal quantum number. The earlier mentioned

nuclear charge-expansion method, applied by Dalgarno and

co-workers [15, 16, 17] to the determination of /-values,

makes explicit use of this Z-dependence.

b. Systematic trends off-values within spectral series. In

the comparatively few cases where we have numerical material for at least several members of a spectral series, the

/-values decrease rapidly for higher series members, in an

analogous fashion as for hydrogen. The dependence of / on

the principal quantum number n, or the effective quantum

number n *, is always a smooth one, even though for lower n

the /-value is not always monotonically decreasing. For

higher n the /-values gradually tend to obey the hydrogenic dependence /~ (n*)~3

. c. Homologous atoms. The third principal regularity con- cerns homologous atoms, i.e., atoms with the same outer

electron structure. Here we have found that for certain

analogous groups of spectral lines the /-values remain approximately constant throughout a family of homologous

atoms. For example, the resonance lines of the alkalies, i.e.,

2s — 2p for Li, 3s — 3p for Na, 4s — 4/j for K etc. are all close

to unity. This behavior is readily understood on the basis of

the Wigner-Kirkwood partial /-sum rule. If it is assumed that

most of the strength of a spectral series is concentrated in

its leading transition or, in the general case, its transition

array (for example 3s — 3p has the dominant strength in a 3s — np series), then it follows that for this dominant

transition array the mean /-value is approximately given

by the number obtained from the partial /sum rule. Furthermore, in all homologous atoms the breakdown of the total

strength of the transition array into multiplets and individual

lines remains the same as long as the coupling scheme

remains constant. It follows therefore that for all lines of

dominant transition arrays in homologous atoms the /-values

should stay approximately constant.

These three above-stated regularities have been proven

to be extremely useful for our compilation work, principally

in the following two respects:

I. We were able to check many data for their degree of

fit into apparent regularities and we have used their

deviations or their fit as an additional guide for our accuracy estimates.

II. We could in a number of cases obtain new /-values by

exploiting either the dependence of/-values on nuclear

charge or the systematic trends of /-values within

spectral series. Thus for a number of highly charged

ions and for higher members of some spectral series

of K I, where no other data were available, we have

simply performed graphical interpolations between

existing data or graphical extrapolations (figs. 9-21).

d. Examples. In order to further illustrate the usefulness

of the regularities, we shall give now a few examples. First,

we shall give some graphical presentations of the Z-depend- ence of /-values:

(1) The Mg-sequence transition 3s2 'S — 3s3p 'P° (reso- nance line). The adopted data, with the exception of the point

for Mg I, are from purely theoretical sources and fall quite

smoothly into the expected Z-dependence as seen in figure 4.

It is seen that the data of Crossley and Dalgarno [17], ob-
FIGURE 4. {-value versus 1/Z for the Mg-sequence transition

3s2 X S — 3s3p >P°.

tained by the nuclear charge-expansion method, are apparently very adequate for the higher ions (we use them for

Cl VI, Ar VII and K Vlll) but deviate for the lower ions increasingly from the values obtained from more advanced theoretical methods [9, 11, 13, 14], as well as from the accurate

lifetime experiments of Lurio [18], and Smith and Gallagher

[19] for Mg I. In order to illustrate the size of our error esti- mate, we have shaded in figure 4 the area covered by the

adopted uncertainty of 10 percent.

(2) As two other examples we present the Be-sequence

multiplets ’P° — ’S and 3 P° — 3 P 0f the 2s2p — 2p2 array (figs.

5 and 6). For the highly charged ions Na VIII, Mg IX, A1 X and

Si XI, which are part of this compilation, we could employ

the results of charge-expansion calculations by Cohen and

Dalgarno [15] for the triplet as well as the singlet. These

calculations include a limited treatment of configuration

interaction. In the case of the triplet the results tie in very

well with the best available data for the lower ions as is seen

in figure 5. The other data are the Flartree-Fock calculations

by Weiss (see ref. [1]), calculations based on hydrogen-like

wave functions by Veselov [45], and lifetime experiments by

Lawrence and Savage [46] and Heroux [47]. We have therefore, guided in part by this good agreement, assigned the

conservatively estimated uncertainties of 25 percent to the

results of the charge-expansion calculations for those higher

ions which are relevant for this compilation.

For the singlet 2s2p 'P° — 2p2 'S we encounter, however,

the very different situation given in figure 6. Here the chargeexpansion calculations of Cohen and Dalgarno [15], used

again for the ions Na VIII through Si XI, do not tie in at all with Weiss’ calculations (see ref. [ 1 ] ) for the lower ions and

the neutral Be atom. Furthermore, the appearance of theZdependence curve has taken on a different shape. At first

Figure 5. f-value versus 1/Z for the Resequence transition

2s2p 3 P° — 2p2 3P.

i/z —

Figure 6. f- value versus 1/Z for the Resequence transition

2s2p , P°-2p2 'S.

sight it is surprising that a triplet and singlet of the same

transition array show such a different behavior, but on closer

inspection the reason for this is somewhat apparent: While

the upper state of the singlet transition, 2p

2 *S, may strongly

interact with the ground state 2s2 X S, there is, in the case of

the triplet, 2p2 3 P, no other 3P state which could be formed

by two electrons in the n = 2 shell. Thus while the X S state may be a strong mixture of the 2s 2 and 2p

2 configurations, as well as possibly significant interactions from other configurations, no such strong possibility of configuration interaction exists for the 3 P state within the n = 2 shell. The points

for the lower stages of ionization in figure 6 are therefore at present rather uncertain since both Weiss’ and Cohen and

Dalgarno’s calculations include only limited configuration

mixing. A more elaborate treatment is necessary since,

in neutral Be and the lower ions, the 2p

2 X S level is em- bedded in the 2sns X S series. But higher stages of ionization this level separates from the series, so that Cohen

and Dalgarno’s data should gradually become rather accurate for high values of Z. But since it is not clear at what

point this occurs, we have lowered our accuracy estimates

for these singlet transitions in the ions Na VIII through Si XI

for the time being to “E”, i.e., we do not rule out uncertainties as large or larger than 50 percent.

308-022 0- 69—2

XI
Table 5. Comparison of multiplet f- values for homologous atoms in the dominant s — p transition

arrays

*

Transition /-value Jncertainty

/-value Uncertainty

Boron (n == 2 ) Aluminum ( n = 3)

(n+ l)s — (n+ l)p 2g 2po

1.07 25% 1.41 25%

Carbon (n = 2) Silicon ( n == 3)

np ( n + 1 ) s — np (

n

+ 1 )p 3p° _ 3£) 0.50 50% 0.61 50%

3p° — 3p 0.31 50% 0.39 50%

3p° _ 3g 0.10 50% 0.13 50%

>P° — 'D 0.42 50% 0.67 50%

P°->S 0.11 50% 0.12 50%

Nitrogen ( n = 2) Phosphorus (n = 3)

np2 (n + 1 )s — np2 (n + l)p 4p 4£)° 0.36 25% 0.57 50%

4p 4p° 0.23 25% 0.36 50%

4p_4S° 0.088 25% 0.13 50%

2 p 2p

° 0.318 25% 0.39 50%

Oxygen (n — 2 ) Sulfur (n - 3)

np3 (n+ 1 ) s — np3 (n + l)p 5S°-5p 0.922 10% 1.1 50%

3g°_3p 0.898 10% 1.1 50%

Fluorine ( n = 2) Chlorine (n = 3) np4 (n + 1 )s — np4 (n + 1 )p 4p 4p° 0.29 50% 0.30 50%

4p_4D° 0.53 50% 0.57 50%

4p_4g° 0.11 50% 0.12 50%

2p _ 2 J)0 0.53 50% 0.58 50%

2 p 2go

0.11 50% 0.11 50%

2 p 2po

0.34 50% 0.36 50%

Neon ( n == 2 ) Argon (n = 3)

np5 (n + l)s — np5 (n + l)p 152 - 2pt* 0.123 10% 0.133 25%

152 2p2 0.164 10% 0.172 25%

152 — 2p3 0.265 25% 0.431 25%

152 2p4 0.158 10% 0.160 25%

152 2pe 0.228 10% 0.125 25%

l52 — 2p8 0.047 10% 0.039 25%

l53 — 2p2 0.273 10% 0.341 25%

I 53 2pi 0.394 10% 0.560 25%

I 53 2p^ 0.246 10% 0.095 25%

I 53 — 2pio 0.073 10% 0.058 25%

I 54 2p2 0.034 10% 0.016 25%

I 54 2p3 0.157 25% 0.119 25%

1$4 2^4 0.018 10% 0.0002 25%

ls4 — 2p5 0.114 25% 0.121 25%

ls4 — 2p6 0.050 10% 03)75 25%

I 54 — 2p7 0.170 10% 0:273 25%

I 54 2ps 0.245 10% 0.413 25%

I 54 2pio 0.077 10% 0.084 25%

I 5.-, — 2p2 0.040 10% 0.029 25%

I 55 — 2p3 0.056 25% 0.030 25%

I 55 — 2p4 0.014 10% 0.003 25%

I 55 — 2p(i 0.122 10% 0.239 25%

I 55 — 2p^ 0.027 10% 0.031 25%

Is.-, — 2p>) 0.373 10% 0.510 25%

l5S — 2pm 0.085 10% 0.159 25%
Table 5. Comparison of multiplet {-values for homologous atoms in the dominant s — p transition

arrays* — Continued

Transition /-value Uncertainty

/-value Uncertainty

/-value Uncertainty

Lithium (

n

= 2) Sodium (n = 3) Potassium (« = 4)

ns — np 2 S — 2 po 0.753 3% 0.982 3% 1.02 10%

(n + 1 )s— (n + 1 )/; 2 S — 2po

1.23 10% 1.35 25% 1.5 50%

Beryllium n = 2) Magnesium (n = 3) Calcium (n = 4) ns(n+ \ )s — ns(n+ \)p 2 S — :jpo 1.13 25% 1.41 25% 1.35 >50%***

>s- ipo 1.15 25% 1.24 25% 1.24 >50%***

The data are eit Her the adopted best values of this compilation or taken from our earlier Vol. I [1]. The numbers are set in italics when experimental data

are involved. **Paschen notation. ***Obtained from the Coulomb approximation. These data are considered quite uncertain and are therefore not listed in the tabulation.

Table 6. Comparison of multiplet {-values for homolgous atoms in the dominant p — d transition

arrays'

Transition /value Uncertainty

/-value Uncertainty

Boron ( n = 2) Aluminum (n = 3)

(n + 1 )P~- {n + l)d 2p_ 2 D° 0.90 25% 0.71 25%

Carbon (

n

= 2) Silrcon (n == 3) np(n + 1) P~- np(n + 1 )d >P- >D° 0.63 25% 0.48 50%

3 D — 3jr° 0.70 25% 0.32 50%

>P- ipo 0.26 25% 0.00021 >50%

Nitrogen (n = 2) Phosphorus (n = 3)

np2 (n + 1) P~- np2 (n + 1 )d 2S°-_2P 0.945 10% 0.30 50%

Oxygen (

n

= 2) Sulfur (

n

= 3)

np'] (n + Dp--np*(n + 1 )d 5 P _ 5 D° 0.90 25% 0.22 50%

3 P — 3D° 0.75 25% 0.059 >50%

*The data are either the adopted “best” values of this compilation or taken from our earlier Vol. are involved.

[1]. The numbers are set in italics when experimental data

Table 7. Comparison of f-values for some prominent transitions ofS I

Transition

array

Multiplet Coulomb

approximation [3]

Miller [25] Foster [48] Bridges and

Wiese [24]

Regularities in homologous atoms

4s — 4p

5 S°- 5P 1 . 0., 1.5, 1.1

3 S°- :i P 1.07 1.47 1.1 4s — 5p

5S°- 5 P (*) 0.U057-, 0.0057, 0.010,

3 S°- 3 P (*) 0.0041, 0.0043, 0.00677 4p — 4d

5 P — 3 D° 0.23o 0.30, 4p — 5d

5 P — 3 D° 0.084, 0.068, — 0.12, —

Severe cancellation is encountered.
It should be noted that for all chosen examples further

/-values for the still higher ions like P XII, S XIII, Cl XIV etc. may be immediately read off the figures. However, we have

not employed this particular material in our present compilation since no energy levels and wave lengths are available

as yet, so that the /-values cannot be converted to transition

probabilities and line strengths. But in other cases where

energy level data exist, we have exploited the apparent

Z-dependence of /-values to obtain data for higher ions

simply by graphical extrapolation. For all these cases we

present at the end of this general introduction the relevant

Z-dependence graphs which contain the individual data

points for the lower ions (figs. 10-21).

The second regularity mentioned above was the systematic

variation of /-values within spectral series. Extensive data

for this type of regularity are available for several spectral

series of Nai, Mgn, Kl, and Call. A smooth variation of

/-value with effective principal quantum number n* is observed in many cases and speaks for the accuracy of the

data. However, the /-values do not always decrease monotonically with increasing principal quantum number. Three

examples, for Kl, two with a monotonic decrease and one which shows an anomalous behavior, are given graphically

in figures 7, 8 and 9 at the end of this general introduction

(these graphs have been also utilized for obtaining extrapolated data). The anomalous behavior has been up to now only

observed among the very first members of a spectral series.

The third regularity concerns homologous atoms. To illus- trate this regularity, we have compared whenever possible

the multiplet /-values of the leading transition arrays for

s—p and p~d transitions for second and third row atoms

as well as for K and Ca. The results, compiled in tables 5 and

6, are quite interesting. First, one observes that for practically all s—p transitions the /-values increase slightly from

the second row atoms to the corresponding third rowT atoms.

For the two available cases which also contain fourth row

atoms, namely the combinations, Li, Na, and K as well as Be, Mg, and Ca, no further increase in the /-value is noted

between the third and fourth row atoms. But, as already

mentioned, these increases are very small, so that within the

approximate range of the partial /-sum rule prediction the

/-values may be regarded as behaving according to this

prediction, i.e.. they remain essentially constant.

For most p — d transitions on the other hand, this con- stancy of the /-value is not preserved. In most comparisons

the respective /-values for the third row atoms decrease

drastically. In at least two examples (Si I ’P — 'P

0

, and

S I

;! P — :i D°) this is definitely due to significant cancellation

in the transition integral. It is suspected that such an interference effect is playing a significant role throughout all third row atoms for these particular transitions. Any cancellation effects are of course not considered in the partial

/-sum rule application so that this would account for the

apparent violation.

The regularities in the /-values of homologous atoms

have sometimes influenced our choices of absolute scales.

We discuss as an example the case of S I. In this instance

we could have chosen the absolute scale for the prominent

transitions in the visible and near infrared either from the

Coulomb approximation [3], or from the shock-tube work by

Miller [25], or from the arc experiments by Foster [48], and

Bridges and Wiese [24], The comparison of the data in table 7 shows a pronounced spread in the absolute values by about a factor of two. For the case of the 4s — 4p transitions we may

also obtain an absolute scale by extrapolating from the rather

accurate data for the homologous 3s~3p transitions of

O I. taking account of the fact that for all 4s — 4p transitions

the /-values increase slightly against the corresponding

3s — 3p lines (see table 5). This scale is also listed in the

comparison table 7. After subjecting as usual all methods to an extensive

analysis we arrived at our final choice mainly by considering

the following facts: (a) the reliability of the Coulomb approximation for the 4s — 4p transitions of third row elements is quite good, e.g., in the cases of Ar I and Ar II the deviations

against the most accurate methods are within 25 percent or

less (table 1); (b) the point at which arc and shock-tube

results overlap almost coincides with the scale obtained

from the Coulomb approximation; (c) the absolute scales

in the arc and shock-tube experiments are much more uncertain than the relative numbers obtained from these experiments and do not rule out the scale obtained from the

Coulomb approximation: (d) the almost constant factor

between the arc results of Bridges and Wiese and the

Coulomb-approximation results may be readily explained on

account of large uncertainties present in the absolute experimental scale, but would be very difficult to interpret due to uncertainties in the theory, since several different transition

arrays are involved for which the transition integrals are independently obtained: (e) last but not least the /-values

predicted from the regularities from homologous atoms support strongly the scale obtained from the Coulomb approximation.

We have therefore chosen the scale of the Coulomb

approximation as the best available one and assigned accu- racy ratings of 50 percent to the individual (absolute) values.

4. Classification of Uncertainties

Before leaving the subject of the review of the data sources and our method of evaluation, we want to make some re- marks about our final error estimates. (But the mechanics

of the evaluation process has been explained in the introduction to Volume I [1] and will therefore not be repeated.) In

particular, we would like to emphasize that at the present

stage of our knowledge we find it impossible to assign individual error limits to each critically evaluated number. We

therefore again stick to our earlier devised classification

scheme, in which /-values are divided into several levels of

accuracy which differ by steps of about factors of three.

We use again the following arbitrary notation:

AA for uncertainties within 1%

A do 3%

B do 10%

C do 25%

D do 50%

E for uncertainties larger than 50%

The word uncertainty is used with the meaning “extent of

possible error" or “possible deviation from the true value".

We have included data of class “E", that is, very uncertain

values, only in special cases. For example, we have used

them when, for the most important and most characteristic

lines of a spectrum, no better data were available, so that

otherwise these important lines would have to be omitted.

Also, we have retained class “E” /-values to keep multiplets

complete. We have often made a further differentiation in the

classification scheme by assigning plus or minus signs to some transitions, which serves to indicate that these lines are estimated to be significantly better or worse than the

average values of this class. These should be therefore the

first or last choice among similar lines.

To sum up, in our error estimates we were principally

guided by the main four guide-posts stated earlier: first,

by the estimates of the individual authors; second, by

xiv
the general agreement of the data with other material; third,

by the author’s consideration of the critical factors entering

into the method; and fourth, when applicable, by the degree

of fit of the data into the apparent systematic trends.

The final selections of the data depend so much on the

particular material that the major justifications are given in

the individual introductions for each spectrum.

D. GENERAL ARRANGEMENT OF THE

TABLES

We have continued to use the same general arrangement

which we have adopted in Volume I, since we have received

many positive comments on it. In a few special cases we

have adapted our arrangement to meet the particular situation existing in some spectra. Thus, for example, for Arl

we have presented, in addition to the ^/-coupling notation,

the Paschen notation, since it is widely used.

The wavelength and energy level data have usually been

obtained from the standard spectroscopic sources, such as

the tabulations of Mrs. Moore-Sitterly [5, 6, 7, 49]. In quite

a number of cases she has generously furnished us with newer material from her vast literature files. Thus, for

several forbidden lines our listed transition probabilities

differ from the author’s original values, since we use newer

energy level data.

For a number of lines we had to calculate wavelengths

from energy level differences. These are given in square

brackets to distinguish them from the presumably more

accurate observed material.

E. FUTURE PLANS AND

ACKNOWLEDGMENTS

We intend to extend this critical compilation in the near

future to selected heavier elements. The most likely targets

will be the heavier alkalis and alkaline earths, and the

elements of the iron group.

It is a pleasure to acknowledge the help and cooperation

of many workers in this field. In particular we would like

to express our sincere appreciation to all those who have

contributed by sending us preprints or as yet unpublished

material.

We also express our deep gratitude to Paul Voigt who

assisted us very effectively in the early stages of this compilation. We would finally like to thank several colleagues

at other institutions as well as at NBS, who upon our urging

carried out special calculations or experiments to eliminate

some of the most glaring defects in the data. We would like

to mention especially the intermediate coupling calculations of R. Cowan and P. Murphy on Arl; the “superposition

of configuration” calculations of A. Weiss on Mg I, All,

Alii, and Sill and ill; the arc measurements of J. Richter

and J. M. Bridges for Arl, and J. B. Shumaker, Jr. for Aril;

and the lifetime measurements of J. Z. Klose for Arl.

It is also a pleasure to acknowledge the competent help

of Miss Judy Grabusnik in typing and proofreading the

manuscript.

References

[1] Wiese, W. L., Smith, M. W., and Glennon, B. M., “Atomic Transition

Probabilities — Hydrogen through Neon,” NSRDS-National Bureau

of Standards 4, Vol. 1 (U.S. Government Printing Office, Washington, D.C., 1966).

[2] Glennon, B. M., and Wiese, W. L., “Bibliography on Atomic Transition

Probabilities,'’ National Bureau of Standards Miscellaneous Publi- cation 278, April (1966). Supplement, Dec. (1967) (U.S. Government

Printing Office, Washington, D.C.).

[3| Bates, D. R., and Damgaard, A., Phil. Trans. Roy. Soc. London, Ser. A242, 101 (1949).

[4] Wiese, W. L., Proc. Beam Foil Spectroscopy Conf., Tucson, Arizona

(Gordon and Breach Publ., New York, 1967). Wiese, W. L., and

Weiss, A. W., Phys. Rev. 175, 50—65 (1968).

[5] Moore, C. E., “A Multiplet Table of Astrophysical Interest, Revised

Edition,” National Bureau of Standards Tech. Note 36 (U.S. Govern- ment Printing Office, Washington, D.C., 1959).

[6] Moore, C. E., “An Ultraviolet Multiplet Table,” National Bureau of Standards Circular 488, Sec. 1 (U.S. Government Printing Office,

Washington, D.C., 1950).

[7] Moore, C. E., “Selected Tables of Atomic Spectra, Atomic Energy

Levels and Multiplet Tables,” NSRDS-National Bureau of Standards 3, Section 1 (1965), Section 2 (1967) (U.S. Government Printing

Office, Washington, D.C.).

[8] Weiss, A. W., Phys. Rev. 162, 71 (1967).

[9 1 Weiss, A. W., J. Chem. Phys. 47 , 3573 (1967).

[10] Weiss, A. W. (to be published).

[11] Zare, R. N„ J. Chem. Phys. 47, 3561 (1967).

[12] Fischer, C. F., J. Quant. Spectrosc. Radiat. Transfer 8 , 755 (1968). Astrophys. J. 151, 759 (1968).

[13] Froese, C., Astrophys. J. 140 , 361 (1964).

[14] Steele, R., and Trefftz, E., J. Quant. Spectrosc. Radiat. Transfer 6,

833 (1966).

[15] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258

(1964).

[16] Dalgarno, A., and Parkinson, E. M., Proc. Roy. Soc. London A301,

253 (1967).

[17] Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soc. London A286,

510 (1965).

[18] Lurio, A., Phys. Rev. 136, A376 (1964). Schmieder, R. W., Lurio, A., and Happer, W., Phys. Rev. 173, 76—79 (1968).

[19] Smith, W. W., and Gallagher, A., Phys. Rev. 145, 26 (1966).

[20] Layzer, D., and Garstang, R. H., “Theoretical Atomic Transition

Probabilities,” Annual Review of Astronomy and Astrophysics,

Vol. 6 (Annual Reviews, Inc., Palo Alto, California, 1968).

[21] Wiese, W. L., “Methods of Experimental Physics,” 7A, ch. 2.1 (Academic Press, New York, 1968).

[22] Corliss, C. H., and Bozman, W. R., “Experimental Transition Probabilities for Spectral Lines of Seventy Elements,” National Bureau

of Standards Monograph 53 (U.S. Government Printing Office,

Washington, D.C., 1962).

[23] Meggers, W. F., Corliss, C. H., and Scribner, B. F., “Tables of Spectral

Line Intensities,” National Bureau of Standards Monograph 32

(U.S. Government Printing Office, Washington, D.C., 1961).

[24] Bridges, J. M., and Wiese, W. L., Phys. Rev. 159, 31 (1967).

[25] Miller, M. H., University of Maryland Technical Note BN 550, May

(1968).

[26] Naqvi, A. M., Thesis Harvard (1951).

[27] Malville, J. M., and Berger, R. A., Planetary and Space Science 13,

1131 (1965).

[28] Garstang, R. H., Ann. Astrophys. 25, 109 (1962).

[29] Garstang, R. H., I.A.U. Symposium No. 34 on Planetary Nebulae held

at Tatranska Lomnica, Czechoslovakia, Sept. (1967).

[30] Froese, C., Astrophys. J. 145, 932 (1966).

[31] Pasternack, S., Astrophys. J. 92, 129 (1940).

[32] Czyzak, S. J., and Krueger, T. K., Monthly Notices Roy. Astron. Soc. 126, 177 (1963).

[33] Krueger, T. K., and Czyzak, S. J., Astrophys. J. 144, 1194 (1966).

[34] Shortley, G., Aller, L. H., Baker, J. G., and Menzel, D. H., Astrophys.

J. 93, 178 (1941).

[35] Slater, J. C., Phys. Rev. 34, 1293 (1929).

[36] Garstang, R. H., Proc. Cambridge Phil. Soc. 52, 107 (1956).

[37] McConkey, J. W., Burns, D. J., Moran, K. A., and Emeleus, K. G.. Phys. Letters 22, 416 (1966).

[38] LeBlanc, F. J., Oldenberg, O., and Carleton, N. P., J. Chem. Phys. 45,

2200 (1966).

[39] Liszka, L., and Niewodniczanski, H., Acta. Phys. Polon. 1 7, 345 (1958).

[40] Kvifte, G., and Vegard, L., Geofys. Publikasjoner Norske VidenskapsAkad. Oslo 17, No. 1 (1947).

[41] McConkey, J. W., Burns, D. J., Moran, K. A., and Kernahan, J. A., Nature 217, 538 (1968).

[42] Garstang, R. H., Fifteenth International Astrophysical Symposium,

Liege, June (1968).

[43] Hults, M. E., J. Opt. Soc. Am. 56, 1298 (1966).

[44] Husain, D., and Wiesenfeld. J. R., Nature 213, 1227 (1967).

[45] Veselov, M. G., Zhur. Eksptl. i Teoret. Fiz. 19, 959 (1949).

[46] Lawrence, G. M., and Savage, B. D., Phys. Rev. 141, 67 (1966).

[47] Heroux, L., Phys. Rev. 153, 156 (1967).

[48] Foster, E. W., Proc. Phys. Soc. London A90, 275 (1967).

[49] Moore, C. E., “Atomic Energy Levels,” National Bureau of Standards

Circular 467; Vol. I (1949): Vol. II (1952): Vol. Ill (1958) (U.S. Government Printing Office, Washington, D.C.). XV
KEY TO ABBREVIATIONS AND SYM1. BOLS USED IN THE TABLES

Symbols for indication of accuracy:

AA uncertainties within 1%

A uncertainties within 3%

B uncertainties within 10%

C uncertainties within 25%

D uncertainties within 50%

E uncertainties larger than 50%.

2. Abbreviations appearing in the source column of

allowed transitions:

/s = .LS-coupling ca = Coulomb approximation

n = normalized to a different scale

interp. = data interpolated from regularities

extrap. = data extrapolated from regularities.

3. Types of forbidden lines: e = electric quadrupole line

m = magnetic dipole line

m.q. = magnetic quadrupole line. (The total transition probability is obtained by adding the

individual transition probabilities due to each type of radiation, provided there are no significant magnetic fields

present, i.e., provided one may average over the magnetic

quantum numbers m,-.)

4. Special symbols used in the wavelength and energy

level columns:

Number in parenthesis under multiplet notation refers to running number of ref. [5] (Revised Multiplet Table). If letters “uv” are added, we refer to running number of

ref. [6] (Ultraviolet Multiplet Table). If letters “UV’' precede

the number, we refer to ref. [7] (Si I, II, III, IV Multiplet Tables

and Energy Levels).

Numbers in italics indicate multiplet values, i.e., weighted

averages of line values.

Numbers in square brackets indicate approximate

calculated or extrapolated values.

USEFUL RELATIONS

(A) Statistical Weights:

The statistical weights are related to the inner quantum

number A (in one-electron spectra j) of a level (initial and

final states of a line) by

AD. — 2 Jl + 1.

and to the quantum numbers of a term (initial and final states of a multiplet) by

gM — (2 L + 1 ) (2S + 1 ).

(The “multiplet” values gM may also be obtained by summing

over all possible “line" values gi. . S' is the resultant spin.)

(B) Relations between the strengths of lines and the total

multiplet strength:

1. Line strength S:

S(i, k)=^S(Ji, A)

J, A

or S(Multiplet) = ^ S(line)

(A‘ denotes the upper and i the lower term).

2. Absorption oscillator strength:

ygumple. —L-—2 (2A+1)XXU,. A) x f(Ji, A)

Kik^ (2Ji+ 1 ) JkJl A

The mean wavelength for the multiplet X,* may be obtained

from the weighted energy levels. Usually the wavelength

differences for the lines within a multiplet are very small, so that the wavelength factors may be neglected.

3.

Transition probabilities

^UIUPM —I : V (2./1 +l)X\(./,. J,)

(x«)3 2 (2 A+i)A

A

Relative strengths S{Jj. Jk ) of the components of a multiplet are listed for the case of LS-coupling in Allen, C. W., “Astrophysical Quantities,” 2d ed. (The Athlone Press, London.

1963); White, H. E. and Eliason, A. Y., Phys. Rev. 44 , 753

(1933); Shore, B. W. and Menzel, D. H. “Principles of

Atomic Structure,” p. 447 (John Wiley & Sons, Inc., New

York, 1968); Goldberg, L., Astrophys. J. 82 , 1 (1935) and

84 , 11 (1936).

xvi
CONVERSION FACTORS

The factor in each box converts by multiplication the quantity above it into

the one at its left.

Aki fik S

Aki 1 6.6702 X 1015 gi

A

2 gk

Ed 2.026! X 1018

gitA3 Eq 1.679s x 1018

gkA

5 Md 2.6972 X 1013 gk^

fik 1.4992 X 10-16 A

2 —

gi

1

Ed

303.7.5

gi A

Eq 251.8

Xi'A

3 Md

4.0436 x 10-3

gi A

s

Ed 4.935fi xl0->VA3 Ed

3. 292 j X 10-®#

A

1 Eq

5.953 X 10-19g*A5

eq

3.971 X 10-3giA3 Md

3.7076 x 10- 14g/A3

Md

247.30#A

The line strength is given in atomic units, which are: For electric dipole transitions (allowed-denoted by Ed):

ale2 = 7.1873 X 10_59 m2 C

2

for electric quadrupole transitions (forbidden-denoted by Eq):

4e2 =2.0216 Xl0-79m4C2

for magnetic dipole transitions (forbidden-denoted by Md):

e

2

/i 2 /16772 ra

2 c

2 =i8.599 X 10-63 JWb~2 m*.

The transition probability is in units sec

-1

, and the /-value is dimensionless. The wavelength A is given in Angstrom units, and gi and gk are the statistical weights of the lower and upper state,

respectively. For the atomic constants entering into the relations, we have used the latest recom- mendations of the National Academy of Sciences adopted by the National Bureau of Standards

(NBS Handbook 102 (1967)).
Plotted is n**f versus n* for the 4s-np series of

K 1.

XV111
FIGURE 8. Systematic trend of {-values within a spectral series showing anomalous behavior.

Plotted is n*3f versus n* for the 4p — nd series of K I.

XIX
XX

Figure 9. Systematic trend of f-values within

a spectral series

Plotted is n*3f versus n* for the 4p-ns series of

K I.
0.07

m

m C\J

O o o o o o o o o o O t

Nl \ Oo

XXI

Figure

10.

fvalue

versus

1/Z

for

the B

-sequence

transition

2s2

2p2

P°—

2s2

3s2

S.

The

complete

references

are

listed

in

the

introductions

for

each

of

the

spectra

involved.
0.70

Figure

11. fvalue

versus

1/Z

for

the

B-sequence

transition

2s2

2p2

P°—

2s2

3d2

D.

The

complete

references

are

listed

in

the

introductions

for

each

of

the

spectra

involved.
roO

CMd o o

XXIII

FIGURE

12. fvalue

versus

1/Z

for

the

Na-sequence

transition

3sS2— 4p12

The

complete

references

are

listed

in

the

introductions

for

each

of

the

spectra

involved.
0.14

XXIV

FIGURE

13. fvalue

versus

1/Z

for

the

Na

-sequence

transition

3sS2—

5p2

P°.

The

complete

references

are

listed

in

the

introductions

for

each

of

the

spectra

involved.
ID

O LO o • — o O o • o o

00oO

CDOo

sj- oo

COooo

ic/5

xxv

FIGURE

14. fvalue

versus

1/Z

for

the

Na

-sequence

transition

3p2

P°—

4s2

The

complete

references

are

listed

in

the

introductions

for

each

of

the

spectra

involved.
0.35

XXVI

Figure

15. fvalue

versus

1/Z

for

the

Na-sequence

transition

3dD2—

4p2

P°.

The

complete

references

are

listed

in

the

introductions

for

each

of

the

spectra

involved.
o

oooo

<x> oooo o

00Ooo t

308-022 0-69—3 XXVII

Figure

16. f

-value

versus

1/Z

for

the

Na

-sequence

transition

3dD2—

4f2

F°.

The

complete

references

are

listed

in

the

introductions

for

each

of

the

spectra

involved.
o9 o

00

o

o

<DO

o

sj"

o

o

00

o

o

o

r

Figure

17.

f

-value

versus

1/Z

for

the

Na

-sequence

transition

3d

D2

—

5f2

F°.

The

complete

references

are

listed

in

the

introductions

for

each

of

the

spectra

involved.
0.07

a

00oo

COooOo

00Ooo

co if) ^r ro 00 o• o o o o o d o o o o t oo

XXIX

FIGURE

18. f

-value

versus

1/Z

for

the

Na

-sequence

transition

3d2D—

6f2

F°.

The

complete

references

are

listed

in

the

introductions

for

each

of

the

spectra

involved.
» co o o

xxx

00o

CDo

sj- o

ooo

Figure

19. fvalue

versus

1/Z

for

the

Na

-sequence

transition

4sS2—

4p2

P°.

The

complete

references

are

listed

in

the

introductions

for

each

of

the

spectra

involved.
Sf CO

O o t

00o

COo o

00o

XXXI

Figure

20. f

-value

versus

1/Z

for

the

Na

-sequence

transition

4p2

P°—

4d2

D.

The

complete

references

are

listed

in

the

introductions

for

each

of

the

spectra

involved.
o

oooo

<DOooo

ooOoo o

rOO o

00o o I\

XXXII oo

FIGURE

21. f

-value

versus

1/Z

for

the

Na

-sequence

transition

4p2

P°—

5s2

S.

The

complete

references

are

listed

in

the

introductions

for

each

of

the

spectra

involved.
SODIUM

Na I Ground State ls22s22/>63s 2 S i /:

Ionization Potential 5.138 eV = 41449.65 cm-1 Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

2433.8 16 4545.19 21 9990.3 64

2436.6 15 4664.81 31 9996.3 64

2440.0 14 4668.56 31 10176 73

2444.2 13 4668.6 31 10183 73

2449.4 12 4747.94 20 10290 63

2455.9 11 4751.82 20 10296 63

2464.4 10 4978.54 30 10566.0 72

2475.5 9 4982.8 30 10572 72

2490.70 8 4982.81 30 10572.3 72

2512.1 7 5148.84 19 10741 62

2543.8 6 5153.40 19 10746.4 49

2593.9 5 5682.63 29 10747 62

2680.4 4 5688.19 29 10749.3 49

2852.81 3 5688.21 29 10834.9 42

2853.01 3 5889.95 1 11190.2 71

3302.37 2 5895.92 1 11197 71 3302.98 2 6154.23 18 11197.2 71 4192.9 38 6160.75 18 11381.5 17 4195.9 38 6632.1 58 11403.8 17

4198.0 27 6680.0 57 11490 61

4201.0 27 6743.1 56 11498 61

4212.9 37 6827.3 55 12311.5 70

4215.9 37 6944.0 54 12320.0 70

4220.2 26 7113.0 53 12679.2 41

4223.2 26 7373.3 52 12695 86

4238.99 36 7810.0 51 12771 85

4242.08 36 8183.26 28 12867 84

4242.1 36 8194.79 28 12907.9 60

4249.41 25 8194.82 28 12917.3 60

4252.52 25 8650.3 50 12984 83

4273.64 35 8796 47 13132 82

4276.79 35 8942.96 46 13321 81

4276.8 35 9153.88 45 13574 80

4287.84 24 9465.94 44 13920 79

4291.01 24 9492.3 77 14414 78

4321.40 34 9497.7 77 14767.5 69

4324.6 34 9518.5 67 14779.7 69

4324.62 34 9523.9 67 14780 69

4341.49 23 9595.2 76 16373.9 59

4344.74 23 9600.8 76 16388.9 59

4390.03 33 9633.1 66 18465.3 40

4393.3 33 9638.7 66 22056.4 48

4393.34 33 9731.6 75 22083.7 48

4419.89 22 9737.3 75 23348.4 68

4423.25 22 9785.9 65 23379 68

4494.18 32 9791.6 65 23379.1 68

4497.66 32 9916.0 74 90880 39

4497.7 32 9921.9 74 91380 39

4541.63 21 9961.28 43
Numerous determinations of the oscillator strengths for the famous D- lines of the 3s— 3p doublet are available. It is surprising to find that even among the fairly recent values, differences of up

1

to 30 percent exist (e.g., compare the multiplet oscillator strength value of 1.24 obtained from an anomalous dispersion method by Kvater [1] with a value of 0.96 obtained from a lifetime measure- ment by Kibble, et. al. [2]). The adopted value for the doublet is the average of the supposedly

most refined versions of precise experimental and theoretical methods. Specifically it includes

the results of a self-consistent field calculation including polarization effects by Biermann and

Liibeek [3], a central field approximation by Prokofev [4], a magnetic rotation experiment by

Stephenson [5], lifetime determinations with the phase-shift technique by Cunningham and

Link [6], with the delayed coincidence method of Kibble, et. al. [2], and with the Hanle-effect

method by Baylis [8]. An uncertainty of less than 3 percent for the averaged value is indicated

by the good agreement among the various selected results.

Values for the 3s — 4p, 3s — 5p, 3s — 6p, 3p — 4s and 4s — 4p transitions are taken solely from

the calculations of Prokofev [4], which are considered more advanced than any of the other

available approaches. (It should be noted that differences between the various methods are usually

only of the order of a few percent.) For the transitions 3s — np, where n runs from 7 to 18, the semiempirical calculations of Anderson and Zilitis [9] , and the relative anomalous dispersion measure- ments of Filippov and Prokofev [10] are available. When multiplied by a factor of 0.0134, the values

of Filippov and Prokofev are found to agree with those of Anderson and Zilitis to within 15 percent;

therefore, an average of the normalized values of Filippov and Prokofev and the results of Anderson

and Zilitis is taken for the above transitions. The lifetime measurement of the 4d level by Karstensen

and Schramm [7] has been applied to the transitions 3p — 4c/ and 4p — 4<7, together with the abovequoted calculations by Prokofev [4] and Anderson and Zilitis [9], Experiment and theory (i.e., the sum of the calculated transition probabilities) agree within 6 percent. The branching ratios are based solely on the calculated results.

For all other transitions, the only available sources are the Coulomb approximation and the

semi-empirical calculations of Anderson and Zilitis. Agreement between the two methods is good

in general; however, the semi-empirical method of Anderson and Zilitis is considered more

refined and their values are used in all cases. For the 3p — 6s, 3p — 4/d and 3p — 3cl transitions, additional results are available from self-consistent field calculations by Chapman, et. al. [11]. These

agree within a few percent with the adopted values.

References

[1] Kvater, G. S., Vestnik Leningrad Univ. Ser. Fiz. i Khim. No. 2, 135-141 (1947). (Translated in “Optical Transition

Probabilities,” Office of Technical Services, U.S. Dept, of Commerce, Washington, D.C.)

[2] Kibble, B. P., Copley, G., and Krause, L., Phys. Rev. 153, 9-12 (1967).

[3] Biermann. L., and Liibeek, K., Z. Astrophys. 25, 325-339 (1948).

[4] Prokofev, V. K„ Z. Physik 58, 255-267 (1929).

[5] Stephenson. G., Proc. Phys. Soc. London A64, 458—464 (1951).

[6] Cunningham, P. T., and Link, J. K.. J. Opt. Soc. Am 57, 1000-1007 (1967).

[7] Karstensen, F., and Schramm, J., Z. Physik 195, 370-379 (1966).

[8] Baylis, W., Thesis Munich (1967) and to be published.

[9j Anderson, E. M., and Zilitis, V. A., Optics and Spectroscopy (U.S.S.R.) 16, 99-101 (1964).

[10] Filippov, A., and Prokofev, V. K., Z. Physik 56,458-476(1929).

[11] Chapman, R. D., Clarke, W. H., and Aller, L. H., Astrophys. J. 144, 376-380 (1966).

Na I. Allowed Transitions

No. Transition Multiplet A(A) fifem'1

) Ek( cm-1

) gi gk c-dio* fik S(at.u.) log gf Accu- Source

Array sec

-1

) racy

1 3s — 3p - S — - P

° 5891.8 0 16968 2 6 0.629 0.982 38.1 0.293 A 2, 3,4,

(1) 5,6, 8

5889.95 0 16973 2 4 0.630 0.655 25.4 0.117 A Is 5895.92 0 16956 2 2 0.628 0.327 12.7 -0.184 A Is

2 3s — 4p , s _,p° 3302.6 0 30271 2 6 0.0292 0.0142 0.311 -1.55 C + 4

(2) 3302.37 0 30273 2 4 0.0290 0.0094 0.207 -1.73 C + Is 3302.98 0 30267 2 2 0.0293 0.00477 0.104 -2.021 c + Is

2
Na I. Allowed Transitions — Continued

No. Transition Multiplet a(A) Edcm-1) ^(crn' 1

) ft- /fywdO* Jik S(at.u.) logg/

- Accu- Source

Array sec

-1

) racy

3 3s — 5p

“ S — 2p° 2852.8 0 35042 2 6 0.0060 0.00221 0.0415 -2.355 c + 4

(1 uv)

2852.81 0 35043 2 4 0.0060 0.00147 0.0276 -2.53 c + Is 2853.01 0 35040 2 2 0.0060 7.4 X 10 -4 0.0138 -2.83 c + Is

4 3s — 6p 2 S _2po 2680.4 0 37297 2 6 0.00226 7.3 X 10 -4 0.0129 -2.84 c + 4

(2 uv)

5 3s — 7p

2g _ 2po 2593.9 0 38541 2 6 0.00120 3.61 x 10 -4 0.0062 -3.140 c + 9. lOn

(3 uv)

6 3s — 8p

2§ __ 2po 2543.8 0 39299 2 6 6.6 X 10-4 1.92 x 10 4 0.00322 -3.416 c + 9, lOn

(4 uv)

7 3s — 9p

2 S- 2 P° 2512.1 0 39795 2 6 4.05 x 10-4 1.15 x 10-4 0.00190 -3.64 c + 9, lOn

(5 uv)

8 3s— lOp 2g _ 2po 2490.70 0 40137 2 6 2.76 X 10-4 7.7 x 10-5 0.00126 -3.81 c + 9, 10n

(6 uv)

9 35 -lip 2 S _ 2 po

[2475.5] 0 40383 2 6 1.94 X 10-4 ' 5.3 x 10-3 8.7 X 10-4 -3.97 c + 9, lOn

10 35 — 12p

2 S — 2 P° [2464.4] 0 40566 2 6 1.44 x 10-4 3.92 x 10 3 6.4 X 10-4 -4.105 c + 9, 10n

11 3s — 13p

2 S — 2 P° [2455.9] 0 40705 2 6 1.12 x 10-4 3.03 x 10-3 4.90 X 10-4 -4.218 c + 9, lOn

12 3s— 14p 2 S — 2 P° [2449.4] 0 40814 2 6 8.6 x 10 -5 2.31 x 10 3 3.73 X 10-4 -4.335 c + 9, 10n

13 3s — 15p 2g _ 2 p

o [2444.2] 0 40901 2 6 6.8 x 10-5 1.84 x 10-3 2.96 X 10 4 -4.434 c + 9. lOn

14 3s — 16p 2g _ 2po

[2440.0] 0 40971 2 6 5.6 X 10-3 1.50 X 10-3 2.41 X 10 -4 -4.52 c + 9, lOrc

15 3s — 17p 2S _2P

o [2436.6] 0 41028 2 6 4.64 X 10t5 1.24 X 10-3 1.99 x 10-4 -4.61 c + 9, lOn

16 3s — 1 8p

2g _ 2po

[2433.8] 0 41076 2 6 3.87 X 10-3 1.03 X 10-3 1.65 x 10-4 -4.69 c + 9. 10n

17 3p — 4s 2 P°_ 2g 11397 16968 25740 6 2 0.251 0.163 36.7 -0.010 c 4

(3)

11403.8 16973 25740 4 2 0.167 0.163 24.5 -0.186 c Is 11381.5 16956 25740 2 2 0.084 0.163 12.2 -0.487 c Is

18 3p — 5s 2 p°_ 2g 6158.6 16968 33201 6 2 0.072 0.0137 1.67 -1.085 c 9

(5)

6160.75 16973 33201 4 2 0.0482 0.0137 1.11 -1.261 c Is 6154.23 16956 33201 2 2 0.0241 0.0137 0.56 -1.56 c Is

19 3p — 6s 2po 2g 5151.9 16968 36373 6 2 0.0330 0.00437 0.445 -1.58 c 9

(8)

5153.40 16973 36373 4 2 0.0220 0.00437 0.297 -1.76 c Is 5148.84 16956 36373 2 2 0.0110 0.00437 0.148 -2.058 c Is

20 3p — 7s 2 P

o_2S 4750.6 16968 38012 6 2 0.0178 0.00201 0.189 -1.92 c 9

(11)

4751.82 16973 38012 4 2 0.0119 0.00201 0.126 -2.095 c Is 4747.94 16956 38012 2 2 0.0059 0.00201 0.063 -2.396 c Is

21 3p — 8s 2 p°_ 2g 4544.2 16968 38969 6 2 0.0108 0.00111 0.100 -2.177 c 9

(14)

4545.19 16973 38969 4 2 0.0072 0.00111 0.066 -2.353 c Is 4541.63 16956 38969 2 2 0.00359 0.00111 0.0332 -2.65 c Is

22 3p — 9s 2 p°_ 2g 4422.2 16968 39575 6 2 0.0070 6.8 X 10-4 0.060 -2.387 c 9

(16)

4423.25 16973 39575 4 2 0.00466 6.8 x 10-4 0.0398 -2.56 c Is 4419.89 16956 39575 2 2 0.00233 6.8 X 10 -4 0.0199 -2.86 c Is

3
Na I. Allowed Transitions — Continued

No. Transition

Array

Multiplet mA) fifcm"1

) ^A-fcnr1 ) /ffcKlO8 sec

-1

)

fik S(at.u.) log gf AccuracySource

23 3p— 10s 2p ° 2g 4343.8 16968 39983 6 2 0.00480 4.53 x 10-4 0.0389 -2.57 C 9

4344.74 16973 39983 4 2 0.00320 4.53 X 10-4 0.0259 -2.74 C Is 4341.49 16956 39983 2 2 0.00160 4.53 x 10-4 0.0129 -3.043 C Is

24 3p — 11s 2p° 2g 4289.5 16968 40271 6 2 0.00357 3.28 x 10-4 0.0278 -2.71 C 9

4291.01 16973 40271 4 2 0.00238 3.28 x 10-4 0.0185 -2.88 C Is 4287.84 16956 40271 2 2 0.00119 3.28 X 10-4 0.0093 -3.183 C Is

25 3p — 12s 2p° 2g 4251.4 16968 40482 6 2 0.00260 2.35 x 10-4 0.0197 -2.85 c 9

4252.52 16973 40482 4 2 0.00173 2.35 X 10-4 0.0132 -3.027 c Is 4249.41 16956 40482 2 2 8.7 X 10-4 2.35 x 10-4 0.0066 -3.328 c Is

26 3p — 13s 2p° 2g 4222.3 16968 40644 6 2 0.00212 1.89 X 10-4 0.0158 '-2.95 c 9

[4223.2] 16973 40644 4 2 0.00141 1.89 x 10-4 0.0105 -3.122 c Is [4220.2] 16956 40644 2 2 7.1 X 10-4 1.89 x 10-4 0.0053 -3.423 c Is

27 3p — 14s 2po 2g 4200.1 16968 40769 6 2 0.00177 1.56 X 10-4 0.0129 -3.029 c 9

[4201.0] 16973 40769 4 2 0.00118 1.56 x 10-4 0.0086 -3.205 c Is [4198.0] 16956 40769 2 2 5.9 X 10-4 1.56 X 10-4 0.00431 -3.51 c Is

28 3p — 3d 2p° 2J) 8191.1 16968 29173 6 10 0.495 0.83 135 0.70 c 4

(4)

8194.82 16973 29173 4 6 0.495 0.75 81 0.477 c Is 8183.26 16956 29173 2 4 0.413 0.83 44.7 0.220 c Is 8194.79 16973 29173 4 4 0.082 0.083 9.0 -0.479 c Is

29 3p —4d 2 p° 2£) 5686.4 16968 34549 6 10 0.131 0.106 11.9 -0.197 c + 4, 7 (6)

5688.21 16973 34549 4 6 0.131 0.095 7.1 -0.420 c + Is 5682.63 16956 34549 2 4 0.109 0.106 3.97 -0.67 c + Is 5688.19 16973 34549 4 4 0.0219 0.0106 0.79 -1.373 c + Is

30 3p — 5d 2p°_ 2p 4981.4 16968 37037 6 10 0.050 0.0311 3.06 -0.73 c 9

(9)

4982.81 16973 37037 4 6 0.050 0.0280 1.84 -0.95 c Is 4978.54 16956 37037 2 4 0.0418 0.0311 1.02 -1.206 c Is [4982.8] 16973 37037 4 4 0.0084 0.00311 0.204 -1.91 c Is

31 3p — 6d 2p° 2jy 4667.5 16968 38387 6 10 0.0257 0.0140 1.29 -1.076 c 9

(12)

4668.56 16973 38387 4 6 0.0257 0.0126 0.77 -1.298 c Is 4664.81 16956 38387 2 4 0.0214 0.0140 0.430 -1.55 c Is [4668.6] 16973 38387 4 4 0.00428 0.00140 0.086 -2.252 c Is

32 3p — ld 2 p ° 2 J) 4496.6 16968 39201 6 10 0.0151 0.0076 0.68 -1.341 c 9

(15)

4497.66 16973 39201 4 6 0.0151 0.0069 0.406 -1.56 c Is 4494.18 16956 39201 2 4 0.0126 0.0076 0.225 -1.82 c Is [4497.7] 16973 39201 4 4 0.00251 7.6 x 10-4 0.0451 -2.52 c Is

33 3p— 3d 2p°_2J) 4392.3 16968 39729 6 10 0.0097 0.00466 0.404 -1.55 c 9

(17)

4393.34 16973 39729 4 6 0.0097 0.00419 0.242 -1.78 c Is 4390.03 16956 39729 2 4 0.0081 0.00466 0.135 -2.031 c Is [4393.3] 16973 39729 4 4 0.00161 4.66 x 10-4 0.0270 -2.73 c Is

34 3p — 9d 2p° 2jy 4323.5 16968 40090 6 10 0.0066 0.00307 0.262 -1.73 c 9

4324.62 16973 40090 4 6 0.0066 0.00276 0.157 -1.96 c Is 4321.40 16956 40090 2 4 0.0055 0.00307 0.087 -2.212 c Is [4324.6] 16973 40090 4 4 0.00109 3.07 x 10-4 0.0175 -2.91 c Is

4
Na I. Allowed Transitions — Continued

No. Transition

Array

Multiplet x(A) Ei( cm-1

) Eic( cm-1

1 gi /Mio8 sec

-1

)

| fik S(at.u.) log gf Accuracy

Source

35 3p - 10d 2 p° 2jy 4275.8 16968 40349 6 10 0.00468 0.00214 0.181 -1.89 C 9

4276.79 16973 40349 4 6 0.00469 0.00193 0.109 -2.112 C Is 4273.64 16956 40349 2 4 0.00391 0.00214 0.060 -2.369 C Is [4276.8] 16973 40349 4 4 7.8 x 10-4 2.14 X 10-4 0.0121 -3.068 C Is

36 3p- 1 Id 2p° 2J) 4241.1 16968 40540 6 10 0.00347 0.00156 0.131 -2.029 C 9

4242.08 16973 40540 4 6 0.00346 0.00140 0.078 -2.252 C Is 4238.99 16956 40540 2 4 0.00290 0.00156 0.0435 -2.51 C Is [4242.1] 16973 40540 4 4 5.8 X 10-4 1.56 x 10-4 0.0087 -3.205 c Is

37 3p — 12d 2 p° 2£) 4215.0 16968 40685 6 10 0.00264 0.00117 0.097 -2.154 c 9

[4215.9] 16973 40685 4 6 0.00263 0.00105 0.058 -2.377 c Is [4212.9] 16956 40685 2 4 0.00220 0.00117 0.0325 -2.63 c Is [4215.9] 16973 40685 4 4 4.39 X 10-4 1.17 X 10-4 0.0065 -3.330 c Is

38 3p-13d 2po_ 2Q 4195.0 16968 40798 6 10 0.00204 9.0 X 10-4 0.074 -2.269 c 9

[4195.9] 16973 40798 4 6 0.00204 8.1 X lO -4 0.0446 -2.491 c Is [4192.9] 16956 40798 2 4 0.00170 9.0 x 10-4 0.0248 -2.75 c Is [4195.9] 16973 40798 4 4 3.40 X 10-4 9.0 X 10 -* 0.00496 -3.445 c Is

39 3d — 4p 2J) _ 2p° 91050 29173 30271 10 6 0.00157 0.117 351 0.068 c 9

[90880] 29173 30273 6 4 0.00142 0.117 211 -0.154 c Is [91380] 29173 30267 4 2 0.00156 0.098 118 -0.407 c Is [90880] 29173 30273 4 4 1.57 x 10"4 0.0195 23.3 -1.108 c Is

40 3d— 4/ 2p_2jr° 18465.3 29173 34587 10 14 0.140 1.00 610 0.99 c 9

41 3d- 5/ 2])_2po 12679.2 29173 37058 10 14 0.0471 0.159 66 0.201 c 9

(21)

42 3d-6f 2J)_2po 10834.9 29173 38400 10 14 0.0224 0.055 19.7 -0.257 c 9

(22)

43 CO 1 2£) _ 2po 9961.28 29173 39209 10 14 0.0127 0.0264 8.7 -0.58 c 9

(23)

44 3d- 8/ 2£)_2p 9465.94 29173 39734 10 14 0.0079 0.0149 4.64 -0.83 c 9

(24)

45 3d — 9/ 2£) _ 2po 9153.88 29173 40094 10 14 0.0053 0.0093 2.79 -1.033 c 9

(25)

46 3d- 10/ 2j) _ 2p° 8942.96 29173 40352 10 14 0.00371 0.0062 1.83 -1.206 c 9

(26)

47 3d- 11/ 2J)_2po 8796 29173 40539 10 14 0.00245 0.00414 1.22 -1.383 c 9

(27)

48 4s — 4p 2g _2po 22070 25740 30271 2 6 0.062 1.35 197 0.431 c 4

22056.4 25740 30273 2 4 0.062 0.90 131 0.255 c Is 22083.7 25740 30267 2 2 0.062 0.450 66 -0.046 c Is

49 4s — 5p 2g _ 2po 10747 25740 35042 2 6 0.0074 0.0385 2.72 -1.114 c 9

(18)

10746.4 25740 35043 2 4 0.0074 0.0257 1.82 -1.289 c Is 10749.3 25740 35040 2 2 0.0074 0.0128 0.91 -1.59 c Is

50 4s — 6p 25 2p° 8650.3 25740 37297 2 6 0.00231 0.0078 0.444 -1.81 c 9

(19)

51 4s — 7p 2g _2po 7810.0 25740 38541 2 6 0.00104 0.00284 0.146 -2.246 c 9

(20)

5
Na I. Allowed Transitions — Continued

No. Transition

Array

Multiplet MA) Ei( cm-1

) gi gk /**,-( 10* sec

-1

) U S(at.u.) logg/" Accuracy

Source

52 4s — 8p 2S _ 2po 7373.3 25740 39299 2 6 5.6 x 10-4 0.00136 0.066 -2.57 C 9

53 4s — 9p 2 § _ 2p° [7113.0] 25740 39795 2 6 3.36 x 10-4 7.6 x 10“ 4 0.0358 -2.82 c 9

54 4s — 1 Op 2 S - 2 P° [6944.0] 25740 40137 2 6 2.23 x 10-4 4.84 X 10-4 0.0221 -3.014 c 9

55 4s- lip 2§_2po[6827.3] 25740 40383 2 6 1.53 x 10-4 3.20 x lO-4 0.0144 -3.194 c 9

56 4s— 12p 2§ _ 2p° [6743.1] 25740 40566 2 6 1.11 X 10-4 2.27 x 10-4 0.0101 -3.343 c 9

57 4s— 13p 2<g _ 2p° [6680.0] 25740 40705 2 6 8.5 x lO-5 1.71 X 10-4 0.0075 -3.466 c 9

58 4s— 14p 2g _2po[6632.1) 25740 40814 2 6 6.3 x 10-5 1.25 X lO-4 0.0055 -3.60 c 9

59 4p — 6s 2 P°_ 2g 16384 30271 36373 6 2 0.0173 0.0232 7.5 -0.86 c 9

16388.9 30273 36373 4 2 0.0115 0.0232 5.0 -1.033 c Is 16373.9 30267 36373 2 2 0.0058 0.0232 2.50 -1.334 c Is

60 4p — 7s 2p°_ 2g 12915 30271 38012 6 2 0.0088 0.0073 1.86 -1.359 c 9

12917.3 30273 38012 4 2 0.0058 0.0073 1.24 -1.53 c Is 12907.9 30267 38012 2 2 0.00292 0.0073 0.62 -1.84 c Is

61 4p — 8s 2po_2g 11495 30271 38968 6 2 0.0051 0.00340 0.77 -1.69 c 9

[11498] 30273 38968 4 2 0.00343 0.00340 0.51 -1.87 c Is [11490] 30267 38968 2 2 0.00172 0.00340 0.257 -2.168 c Is

62 4p —9s 2p°_2g 10745 30271 39575 6 2 0.00329 0.00190 0.403 -1.94 c 9

[10747] 30273 39575 4 2 0.00219 0.00190 0.269 -2.119 c Is [10741] 30267 39575 2 2 0.00110 0.00190 0.134 -2.420 c Is

63 4p— 10s 2po 2g 10294 30271 39983 6 2 0.00225 0.00119 0.242 -2.146 c 9

[10296] 30273 39983 4 2 0.00150 0.00119 0.161 -2.322 c Is [10290] 30267 39983 2 2 7.5 X 10~4 0.00119 0.081 -2.62 c Is

64 4p — 11s 2p°_ 2g 9994.3 30271 40271 6 2 0.00167 8.3 x lO-4 0.164 -2.301 c 9

[9996.3] 30273 40271 4 2 0.00111 8.3 x lO-4 0.110 -2.477 c Is [9990.3] 30267 40271 2 2 5.6 X lO-4 8.3 X lO-4 0.055 -2.78 c Is

65 4p— 12s 2p°_2g 9789.7 30271 40482 6 2 0.00120 5.8 X lO-4 0.112 -2.461 c 9

[9791.6] 30273 40482 4 2 8.0 X 10 4 5.8 X lO-4 0.074 -2.64 c Is [9785.9] 30267 40482 2 2 4.02 x 10-4 5.8 X lO-4 0.0372 -2.94 c Is

66 4p— 13s 2p°_ 2g 9636.8 30271 40644 6 2 0.00100 4.63 x 10“4 0.088 -2.56 c 9

[9638.7] 30273 40644 4 2 6.6 X 10~4 4.63 x lO-4 0.059 -2.73 c Is [9633.1] 30267 40644 2 2 3.33 x lO-4 4.63 X lO-4 0.0294 -3.033 c Is

67 4p — 14s 2 P°_ 2g 9522.1 30271 40769 6 2 8.5 X 10-4 3.87 X lO-4 0.073 -2.63 c 9

[9523.9] 30273 40769 4 2 5.7 x lO-4 3.87 X lO-4 0.0485 -2.81 c Is [9518.5] 30267 40769 2 2 2.85 X 10"4 3.87 X lO-4 0.0243 -3.111 c Is

68 4p — 4d 2 po_2p 23370 30271 34549 6 10 0.067 0.91 420 0.74 c + 7, 9

23379.1 30273 34549 4 6 0.067 0.82 252 0.52 c + Is 23348.4 30267 34549 2 4 0.056 0.91 140 0.260 c + Is [23379] 30273 34549 4 4 0.0111 0.091 28.0 -0.439 c + Is

6
Na I. Allowed Transitions — Continued

No. Transition

Array

Multiplet mA) £T Ek( cm ] ) gt gk /Mio*

sec ') fk S(at.u.) *og gf Accuracy

Source

69 ip — 5d “P°

“ 'D 14776 30271 37037 6 10 0.0260 0.142 41.4 -0.070 C + 9

14779.7 30273 37037 4 6 0.0261 0.128 24.9 -0.291 c + Is 14767.5 30267 37037 2 4 0.0217 0.142 13.8 -0.55 c + Is [14780] 30273 37037 4 4 0.00434 0.0142 2.76 -1.246 c + Is

70 4p — 6c? 2p°_2J) 12318 30271 38387 6 10 0.0130 0.0493 12.0 -0.53 c + 9

12320.0 30273 38387 4 6 0.0130 0.0444 7.2 -0.75 c + Is 12311.5 30267 38387 2 4 0.0108 0.0493 4.00 -1.006 c + Is [12320] 30273 38387 4 4 0.00217 0.00493 0.80 -1.71 c + Is

71 4p—7d 2 p°_ 2 0 11195 30271 39201 6 10 0.0075 0.0235 5.2 -0.85 c + 9

11197.2 30273 39201 4 6 0.0075 0.0212 3.13 -1.072 c + Is 11190.2 30267 39201 2 4 0.0063 0.0235 1.73 -1.328 c + Is [11197) 30273 39201 4 4 0.00125 0.00235 0.347 -2.027 c + Is

72 1 CO a.

t}< 2 P°— 2 D 10570 30271 39729 6 10 0.00476 0.0133 2.78 -1.098 c + 9

10572.3 30273 39729 4 6 0.00477 0.0120 1.67 -1.319 c + Is 10566.0 30267 39729 2 4 0.00397 0.0133 0.93 -1.58 c + Is [10572] 30273 39729 4 4 7.9 X 10-4 0.00133 0.185 -2.274 c + Is

73 4p — 9d 2p° 2jy 10181 30271 40090 6 10 0.00323 0.0084 1.68 -1.299 c 9

[10183] 30273 40090 4 6 0.00323 0.0075 1.01 -1.52 c Is [10176] 30267 40090 2 4 0.00270 0.0084 0.56 -1.77 c Is I10183J 30273 40090 4 4 5.4 X 10-4 8.4 X 10-4 0.112 -2.475 c Is

74 4p— 10c? 2p°_ 2J) 9919.9 30271 40349 6 10 0.00230 0.0057 1.11 -1.470 c 9

[9921.9] 30273 40349 4 6 0.00230 0.0051 0.67 -1.69 c Is [9916.0] 30267 40349 2 4 0.00192 0.0057 0.369 -1.95 c Is [9921.9] 30273 40349 4 4 3.83 X 10-4 5.7 X IQ-4 0.074 -2.65 c _ Is

75 4p-lld 2 P°_ 2J) 9735.4 30271 40540 6 10 0.00169 0.00400 0.77 -1.62 c 9

[9737.3] 30273 40540 4 6 0.00169 0.00360 0.462 -1.84 c Is [9731.6] 30267 40540 2 4 0.00141 0.00400 0.256 -2.097 c Is [9737.3] 30273 40540 4 4 2.81X 10 4 4.00 X 10- 4 0.051 -2.80 c Is

76 \p-\2d 2p°_ 2£) 9598.9 30271 40685 6 10 0.00129 0.00296 0.56 -1.75 c 9

[9600.8] 30273 40685 4 6 0.00128 0.00266 0.336 -1.97 c Is [9595.2] 30267 40685 2 4 0.00107 0.00296 0.187 -2.228 c Is [9600.8] 30273 40685 4 4 2.14 X 10-4 2.96 X 10- 4 0.0374 -2.93 c Is

77 4p — 13c? 2 P°— 2D 9495.9 30271 40798 6 10 9.9 x 10-4 0.00224 0.420 -1.87 c 9

[9497.7] 30273 40798 4 6 0.00100 0.00202 0.253 -2.093 c Is [9492.3] 30267 40798 2 4 8.3 X 10- 4 0.00224 0.140 -2.349 c Is [9497.7] 30273 40798 4 4 1.66 X 10“ 4 2.24 X 10-4 0.0280 -3.048 c Is

78 5s — lOp 2 S -2P

o [14414] 33201 40137 2 6 1.64 x 10- 4 0.00153 0.145 -2.51 c 9

79 5s — lip 2g _ 2po [13920] 33201 40383 2 6 1.10 x 10-4 9.6 X 10“4 0.088 -2.72 c 9

80 5s— 12p 2g _ 2p° [13574] 33201 40566 2 6 .7.9 x 10-> 6.6 X 10 4 0.059 -2.88 c 9

81 5s— 13p 2S _2po [13321| 33201 40705 2 6 6.0 x 10-’ 4.76 X 10-4 0.0417 -3.021 c 9

82 5s — 14p 2S _ 2 po 113132] 33201 40814 2 6 4.45 x 10-’ 3.45 X 10“4 0.0298 -3.161 c 9

83 5s— 15p 2g _ 2p° [12984] 33201 40901 2 6 3.48 x 10-’ 2.64 X 10-4 0.0226 -3.277 c 9

84 5s— 16p 2g _ 2p° [12867] 33201 40971 2 6 2.78 x 10-’ 2.07 x 10-4 0.0175 -3.383 c 9

85 5s— 17p 2 g _ 2po [12771] 33201 41028 2 6 2.33 X 10-’ 1.71 x 10- 4 0.0144 -3.466 c 9

86 5s — 18p 2 g

2po [12695] 33201 41076 2 6 1.93 x 10-’ 1.40 x 10- 4 0.0117 -3.55 c 9

7
Nall

Ground State ls2 2s2 2p6 'S„

Ionization Potential 47.29 eV = 381528 cm' 1

Allowed Transitions

Calculations by Kastner, Omidvar, and Underwood [1], employing Hartree-Fock wavefunctions

and including intermediate coupling, are available. Since the calculations are based on a singleconfiguration approximation only, uncertainties of up to 50 percent are expected for the strong

lines and even higher uncertainties for the weak lines, the latter being more affected by assumptions about the coupling.

Reference

[1] Kastner, S. O., Omidvar, K., and Underwood, J. H., Astrophys. J. 148, 269-273 (1967).

Na II. Allowed Transitions

No. Transition

Array

Multiplet mA) Filcm-1

) £fc (cm-') gi gk ^,(108 sec

-1

)

fik S(at.u.) log gf Accuracy

Source

1 2p6 — 2p5

( 2 P,°/2 )3s , s _ :! p°

(1 uv) 376.375 0 265693 1 3 1.5 0.0093 0.012 -2.03 E 1

2 2p6 — 2p5

( 2 P?/2)3s . S -.p°

(2 uv)

372.069 0 268767 1 3 31 0.19 0.23 -0.72 D 1

3 2p6 — 2p5

( 2 P°/2)3d 'S- :! P°

[302.44] 0 330641 1 3 1.4 0.0057 0.0057 -2.24 E 1

4 2p«-2p5(-PS/2 )3d 1C _ ipo

(3 uv)

301.432 0 331749 1 3 9.5 0.039 0.039 -1.41 D 1

5 2p6 — 2p5

( 2 P?/2)3d 'S — :! D°

(4 uv) 300.151 0 333167 1 3 30 0.12 0.12 -0.92 D 1

8
Na III Ground State ls22s2 2p* 2 P£,

Ionization Potential 71.65 eV = 578033 cm-'

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

378.14 1 1970.6 14 2180.8 12 380.11 1 1976.4 13 2182.8 3

1752.7 9 1985.5 4 2194.8 12 1761.7 9 1995.6 14 2202.8 3

1763.8 9 2004.8 15 2214.2 3

1773.0 9 2005.2 4 2222.8 12 1782.9 9 2005.2 14 2225.3 7 1791.2 9 2011.9 13 2225.9 3

1801.3 9 2022.3 10 2230.3 3

1838.1 8 2028.6 10 2232.2 7

1844.3 8 2031.1 14 2239.5 3

1845.1 8 2036.9 15 2246.7 3

1849.6 8 2037.8 10 2251.5 3

1850.3 8 2045.5 10 2278.5 7 1855.9 8 2048.7 10 2285.7 7

1856.7 8 2051.9 10 2310.0 6

1861.2 8 2055.2 10 2367.3 6

1899.7 11 2058.8 10 2406.6 5 1918.5 11 2063.0 10 2459.4 5 1920.1 11 2065.3 10 2468.9 5

1926.3 11 2067.4 17 2474.7 2 1935.6 11 2073.3 17 2497.0 2 1939.3 11 2101.5 17 2510.3 2 1941.8 11 2107.7 17 2530.2 2 1942.2 13 2144.8 16 2542.9 2

1950.8 11 2151.2 16 2553.6 2 1951.2 4 2174.5 16 2563.3 2

1965.1 11

For the 2s22p5 2 P° —2s2p6 2 S multiplet, Cohen and Dalgarno [1] using the nuclear chargeexpansion method and Bagus [2] using the self-consistent field approximation arrive at identical

results. The quoted value may be nevertheless quite uncertain since configuration interaction

effects with configurations involving electrons of the n — 3 shell may be significant, but were not

included in the calculations. Inasmuch as no other material is available, the Coulomb approximation has been used for a number of 3s — 3p and 3p — 3d transitions, where for atomic systems for

similar complexity it has given fairly reliable values.

References

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

[2] Bagus, P. S., U.S. Atomic Energy Commission ANL—6959 (1964).
Nalll. Allowed Transitions

No Transition

Array

Multiplet MA) Eilcm -1

) Ek( cnr1 ) gi gk /Uio«

sec ! )

fit S(at.u.) log gf Accuracy

Source

1 2s22p5 — 2s2pH 2 P° — 2 S 378.80 4.55 264449 6 2 210 0.15 1.1 -0.05 D- 1, 2

[378.14] 0 264449 4 2 130 0.14 0.72 -0.25 D- Is [380.11] 1364 264449 , 2 2 66 0.14 0.36 -0.55 D- Is

2 2p4 3s — 2p4

(

:! P)3p -c 1 “C o 2515.6 366694 406434 12 12 2.4 0.23 23 0.44 D ca

[2497.0] 366165 406201 6 6 1.7 0.16 8.0 -0.02 D Is [2530.2] 367052 406562 4 4 0.31 0.030 1.0 -0.92 E Is [2542.9] 367562 406876 2 2 0.39 0.038 0.64 -1.12 E Is [2474.7] 366165 406562 6 4 1.1 0.070 3.4 -0.38 D- Is [2510.3] 367052 406876 4 2 2.0 0.097 3.2 -0.41 D- Is [2553.6] 367052 406201 4 6 0.69 0.10 3.4 -0.40 D- Is [2563.3] 367562 406562 2 4 0.96 0.19 3.2 -0.42 } — Is

3

4 P- 4 D° 2232.5 366694 411473 12 20 3.6 0.44 39 0.72 D ca

[2230.3] 366165 410988 6 8 3.7 0.36 16 0.33 D Is [2246.7] 367052 411548 4 6 2.4 0.28 8.2 0.05 D Is [2251.5] 367562 411964 2 4 1.5 0.22 3.3 -0.36 D- Is [2202.8] 366165 411548 6 6 1.1 0.080 3.5 -0.32 D- Is [2225.9] 367052 411964 4 4 1.9 0.14 4.2 -0.25 D- Is [2239.5] • 367562 412202 2 2 3.0 0.22 3.3 -0.36 D- Is [2182.8] 366165 411964 6 4 0.19 0.0090 0.39 -1.27 E Is [2214.2] 367052 412202 4 2 0.61 0.022 0.65 -1.06 E Is

4

4 P- 4 S° 1971.5 366694 417416 12 4 5.2 0.10 7.9 0.08 D ca

[1951.2] 366165 417416 6 4 2.7 0.10 3.9 -0.22 D Is [1985.5] 367052 417416 4 4 1.7 0.10 2.6 -0.40 D Is [2005.2] 367562 417416 2 4 0.82 0.10 1.3 -0.70 D Is

5

2 P2 D

° 2458.9 373982 414638 6 10 2.9 0.43 21 0.41 D ca

[2459.4] 373633 414281 4 6 3.0 0.40 13 0.20 D Is [2468.9] 374681 415173 2 4 2.4 0.43 7.0 -0.07 D Is [2406.6] 373633 415173 4 4 0.51 0.044 1.4 -0.75 E Is

6 •>p_2S

° 2328.8 373982 416910 6 2 3.4 0.091 4.2 -0.26 D ca

[2310.0] 373633 416910 4 2 2.3 0.092 2.8 -0.43 D Is [2367.3] 374681 416910 2 2 1.1 0.090 1.4 -0.74 D Is

7

2 P 2 P° 2247.4 373982 418464 6 6 3.9 0.29 13 0.24 D ca

[2232.2] 373633 418418 4 4 3.3 0.24 7.2 -0.02 D Is [2278.5] 374681 418557 2 2 2.4 0.19 2.8 -0.42 D Is [2225.3] 373633 418557 4 2 1.3 0.048 1.4 -0.72 E Is [2285.7] 374681 418418 2 4 0.59 0.093 1.4 -0.73 E Is

8 2p43p—2p4

(

:! P)3</ 4 P° — 4 D 1852.0 406434 460431 12 20 7.3 0.63 46 0.88

4 D

I ca

[1849.6] 406201 460268 6 8 7.2 0.49 18 0.47

j

' D Is [1856.7] 406562 460421 4 6 5.1 0.40 9.7 0.20 D Is [1861.2] 406876 460606 2 4 3.0 0.31 3.8 -0.21 D- Is

[ 1844.3] 406201 460421 6 6 2.2 0.11 4.1 -0.18 D- Is [1850.3] 406562 460606 4 4 3.9 0.20 4.9 -0.10 D- Is [1855.9] 406876 460759 2 2 6.0 0.31 3.8 -0.21 D — Is [1838.1] 406201 460606 6 4 0.38 0.013 0.46 -1.11 E Is [1845.1] 406562 460759 4 2 1.2 0.032 0.77 -0.89 E Is

9 4p° _ 4p 1767.4 406434 463015 12 12 4.6 0.21 15 0.40 D , ca

[1752.7] 406201 463257 6 6 3.3 0.15 5.2 -0.05 ! D Is [1773.0] 406562 462964 4 4 0.61 0.029 0.67 -0.94 IE: Is [1801.3] 406876 462391 2 2 0.73 0.035 0.42 -1.15 lE Is [1761.7] 406201 462964 6 4 2.0 0.063 2.2 -0.42 D- Is [1791.2] 406562 462391 4 2 3.7 0.089 2.1 -0.45 D- Is [1763.8] 406562 463257 4 6 1.4 0.095 2.2 -0.42 D- Is [1782.9] 406876 462964 2 4 1.9 0.18 2.1 -0.44 D- Is

10
Na III. Allowed Transitions — Continued

No. Transition

Array

Multiplet mA) £i(cm_1

) Ek( cm ') gi g* ^,•(10* sec ') fk S(at.u.) log gf Accuracy

Source

10 4 D° — 4 D 2041.9 411473 460431 20 20 1.9 0.12 16 0.38 D ca

[2028.6] 410988 460268 8 8 1.7 0.10 5.5 -0.10 D Is [2045.5] 411548 460421 6 6 1.1 0.069 2.8 -0.38 D Is [2055.2] 411964 460606 4 4 0.76 0.048 1.3 -0.72 D- Is [2058.8] 412202 460759 2 2 0.93 0.0.59 0.80 -0.93 D- Is [2022.3] 410988 460421 8 6 0.37 0.017 0.91 -0.87 D- Is [2037.8] 411548 460606 6 4 0.66 0.027 1.1 -0.79 D- Is [2048.7] 411964 460759 4 2 0.94 0.030 0.80 -0.92 D- Is [2051.9] 411548 460268 6 8 0.27 0.022 0.91 -0.88 D- Is [2063.0] 411964 460421 4 6 0.42 0.040 1.1 -0.80 D- Is [2065.3] 412202 460606 2 4 0.46 0.059 0.80 -0.93 D- Is

11 60 1 4- 1947.1 411473 462832 20 28 8.9 0.71 91 1.15 D ca

[1965.1] 410988 461877 8 10 8.8 0.64 33 0.71 D Is [1939.3] 411548 463113 6 8 7.6 0.57 22 0.53 D Is [1935.6] 411964 463628 4 6 7.0 0.59 15 0.37 D Is [1950.8] 412202 463462 2 4 6.2 0.71 9.1 0.15 D- Is [1918.5] 410988 463113 8 8 1.3 0.073 3.7 -0.23 D- Is [1920.1] 411548 463628 6 6 2.2 0.12 4.7 -0.14 D- Is [1941.8] 411964 463462 4 4 2.5 0.14 3.6 -0.25 D- Is [1899.7] 410988 463628 8 6 0.094 0.0038 0.19 -1.52 E Is [1926.3] 411548 463462 6 4 0.18 0.0068 0.26 -1.39 E Is

12 4 S°_4p 2192.3 417416 463015 4 12 3.7 0.80 23 0.51 D ca

[2180.8] 417416 463257 4 6 3.6 0.38 11 0.18 D Is [2194.8] 417416 462964 4 4 3.7 0.27 7.7 0.03 D Is [2222.8] 417416 462391 4 2 3.5 0.13 3.8 -0.28 D Is

13 tc a

0 1 *n 1995.9 414638 464740 10 14 8.6 0.72 47 0.86 D ca

[2011.9] 414281 463969 6 8 8.4 0.68 27 0.61 D Is [1976.4] 415173 465769 4 6 8.3 0.73 19 0.47 D Is [1942.2] 414281 465769 6 6 0.60 0.034 1.3 -0.69 E Is

14 2 D° — 2 D 1999.7 414638 464646 10 10 2.1 0.13 8.4 0.11 D ca

[1995.6] 414281 464392 6 6 2.0 0.12 4.7 -0.14 D Is [2005.2] 415173 465028 4 4 1.9 0.11 3.0 -0.36 D Is [1970.6] 414281 465028 6 4 0.23 0.0087 0.34 -1.28 E Is [2031.1] 415173 464392 4 6 0.14 0.013 0.34 -1.28 E Is

15 2go 2p 2015.4 416910 466511 2 6 4.5 0.83 11 0.22 D ca

[2004.8] 416910 466773 2 4 4.6 0.55 7.3 0.04 D Is [2036.9] 416910 465988 2 2 4.4 0.28 3.7 -0.25 D Is

16 2 P° — 2 D 2164.7 418464 464646 6 10 5.2 0.61 26 0.56 D ca

[2174.5] 418418 464392 4 6 5.3 0.56 16 0.35 D Is [2151.2] 418557 465028 2 4 4.4 0.61 8.7 0.09 D Is [2144.8] 418418 465028 4 4 0.87 0.0060 1.7 -1.62 E Is

17 2 P°- 2 P 2080.6 418464 466511 6 6 3.3 0.21 8.7 0.10 D ca

[2067.4] 418418 466773 4 4 2.8 0.18 4.8 -0.14 D Is [2107.7] 418557 465988 2 2 2.1 0.14 1.9 -0.55 D Is [2101.5] 418418 465988 4 2 1.1 0.035 0.97 -0.85 E Is [2073.3] 418557 466773 2 4 0.55 0.071 0.97 -0.85 E Is

308-022 0-69—4

11
Na III

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951). Nam. Forbidden Transitions

No.

Transition

Array Multiplet MA) Ej( cm 1 ) Ek( cm-1

), gi gk

Type of

Transition Aki ( sec *) S(at.u.)

Accuracy Source

1 2p

5 — 2/>

r> 2p° 2p°

[73294]; 0 1364 4 2 m 0.0456 1.33 A 1

NalV

Ground State ls2 2s2 2p4 3 P2

Ionization Potential 98.88 eV = 797741 cm -1

Allowed Transitions

The values are calculated from the charge-expansion method of Cohen and Dalgarno [1] which includes limited configuration mixing. An additional value for the ’S — ’P

0 transition is available from the calculations of Bolotin, Shironas, and Braiman [2], which also include limited

configuration interaction. For this latter transition, the two methods agree fairly well and the

results are averaged. In general, uncertainties should be within 50 percent.

References

[1) Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

[2] Bolotin, A. B., Shironas, I. I., and Braiman, M. Yu., Vilniaus, Valstybinio v. Kapsuko vardo universiteto'Mokslo Darbai

33, matematika fizika 9, 107-112 (1960). Na iv. Allowed Transitions

No. Transition

Array

Multiplet \(A) Filcm-1

) £t(cm-') gi gk /C;(10« sec

-1

) Ak S(at.u.) log gf Accuracy

Source

1 2s~2pA — 2s2p5 ap :sp° 410.43 544 244190 9 9 98 0.25 3.0 0.35 D 1

[410.37] 0 243682 5 5 76 0.19 1.3 -0.02 D Is [410.54] 1106 244688 3 3 24 0.062 0.25 -0.73 D- Is [408.68] 0 244688 5 3 42 0.062 0.42 -0.51 D- Is [409.61] 1106 245238 3 1 97 0.082 0.33 -0.61 D- Is [412.24] 1106 243682 3 5 24 0.10 0.42 -0.52 D- Is [411.33] 1576 244688 1 3 32 0.24 0.33 -0.62 D- Is

2 'D— 'P° [319.64] [31118] [343972] 5 3 170 0.16 0.83 -0.10 D 1

3

> s _ip° [360.76] [66780] [343972] 1 3 23 0.13 0.16 -0.89 D 1, 2

12
Na IV

Forbidden Transitions

The sources used in deriving the adopted values are Naqvi [1], and Malville and Berger [2]. Naqvi’s magnetic dipole values are used whenever the choice of transformation coefficients becomes more important than the effects of configuration interaction (see General Introduction).

Malville and Berger have calculated values using “spin-orbit” and “spin-spin and spin-otherorbit integrals” calculated by Garstang (Monthly Notices Roy. Astron. Soc. Ill, 115 (1951)). The

electric quadrupole moment sq calculated by Malville and Berger has been used throughout and

is considered better than Naqvi’s, because it is obtained from self-consistent field wavefunctions,

while Naqvi used screened hydrogenic wavefunctions. We have therefore modified Naqvi’s ;i P:>—

! Pi

and 3 P>, i — 'D2 electric quadrupole values by substituting Malville and Berger’s sq.

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M. and Berger, R. A., Planetary and Space Science 13, 1131 (1965).

Na IV. Forbidden Transitions

No.

Transition

Array Multiplet x(A) Ei { cm ! ) £fc(cm 1 ) | gi gk

Type of

Transition AAri(sec ') S(at.u.)

Accuracy Source

1 2p4 — 2/P :i P —3 P

[90391] 0 1106 5 3 e 1.90 X 10-8 0.205 c- 1, 2 [90391] 0 1106 5 3 m 0.0304 2.50 A 1 [63435] 0 1576 5 1 e 1.48 X 10“7 0.091 C- 2 [21.27 X 104

] 1106 1576 3 1 m 0.00561 2.00 B 1

2

3 P — 'D

(IF)

3319.3 0 [31118] 5 5 e 6.1 X 10-4 7.3 X 10-4 D- 1, 2 3319.3 0 [31118] 5 5 m 0.56 0.00381 C 1 3445.9 1106 [31118] 3 5 e 7.1 x 10-5 1.0 X io-4 D- 1, 2 3445.9 1106 [31118] 3 5 m 0.167 0.00127 C 1 [3384.0] 1576 [31118] 1 5 e 3.0 x 10-5 4.0 X 10“5 D- 2

3

:i P — ’S

[1497.5] 0 [66780] 5 1 e 0.012 5.4 X IO"5 D- 2

. [1522.7] 1106 [66780] 3 1 m 7.6 9.9 X IO"4 C 2

4 'D-'S

[2803.3] [31118] [66780] 5 1 e 3.5 0.360 C- 2

13
Ground State

Na V

ls22s2 2p3 4 SS/2

Ionization Potential 138.37 eV= 1116312 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

307.15 3 369.73 7 456.15 8

308.26 3 369.78 7 459.57 8

308.29 3 400.67 2 459.90 1 332.54 6 400.71 2 461.05 1 332.59 6 400.73 2 463.26 1

333.88 6 400.77 2 506.99 9

333.92 6 445.05 4 510.09 9

360.32 5 445.12 4 511.21 9

360.37 5 445.19 4 514.36 9

367.56 7

Values for all the listed transitions are calculated from the nuclear charge-expansion method

of Cohen and Dalgarno [1], which includes limited configuration mixing. Judged from graphical

comparisons with other ions in the isoelectronic sequence and from the general success of Cohen

and Dalgarno’s method for similar atomic systems, uncertainties within 50 percent are indicated.

Reference

[1] Cohen. M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

Na V. Allowed Transitions

No. Transition

Array

Multiplet x(A) hfcnr1 ) E*(cm_1

) gk /CAIO8 sec

-1

)

fik S(at.u.) log gf Accuracy

Source

1 2s22p:i — 2s2pA 4 S°_4P 461.06 0 216892 4 12 31 0.30 1.8 0.08 D 1

1463.26] 0 215860 4 6 31 0.15 0.90 -0.22 D Is [461.05] 0 216896 4 4 31 0.099 0.60 -0.40 D Is [459.90] 0 217440 4 2 31 0.050 0.30 -0.70 D Is

2

2 D°2 D 400.72 [47580] [297130] 10 10 72 0.17 2.3 0.23 D 1

[400.73] [47570] [297116] 6 6 68 0.16 1.3 -0.02 D Is [400.71] [47595] [297150] 4 4 65 0.16 0.83 -0.19 D Is [400.67] [47570] [297150] 6 4 7.2 0.012 0.092 -1.14 E Is [400.77] [47595] [297116] 4 6 4.8 0.017 0.092 -1.17 E Is

3

2 D° — 2 P 307.89 [47580] [372367] 10 6 270 0.23 2.3 0.36 D 1

[308.26] [47570] [371967] 6 4 240 0.23 1.4 0.14 D Is [307.15] [47595] [373167] 4 2 270 0.19 0.77 -0.12 D Is [308.29] [47595] [371967] 4 4 26 0.03-7 0.15 -0.83 E Is

4

2 P°— 2 D 445.14 [72480] [297130] 6 10 11 0.056 0.49 -0.47 D 1

[445.19] [72493] [297116] 4 6 11 0.049 0.29 -0.71 D Is [445.05] [72454) [297150] 2 4 9.2 0.055 0.16 -0.96 D Is [445.12] [72493] [297150] 4 4 1.9 0.0056 0.033 -1.65 E Is 14
Na V. Allowed Transitions — Continued

No. Transition

Array

Multiplet x(A) Edcm-1

) Ek( cm'1 ) gi gk ^wdO8 sec

-1

)

fik ,S(at.u.)^ *<tg gf Accuracy

Source

5 “ P° — “S 360.35 [72480] [ 349987] 6 2 150 0.10 0.71 -0.22 r> 1

[360.37] [72493] [349987] 4 2 100 0.099 0.47 -0.40 D Is 1360.32] [72454] [349987] 2 2 52 0.10 0.24 -0.70 D Is

6

2 p°_,p 333.46 [72480] [372367] 6 6 78 0.13 0.86 -0.11 D 1

[333.92J [72493] [371967] 4 4 65 0.11 0.48 -0.36 D Is [332.54] [72454] 1373167] 2 2 52 0.087 0.19 -0.76 D- Is [332.59] [72493] [373167] 4 2 26 0.022 0.096 -1.06 E Is [333.88] [72454] [371967] 2 4 13 0.044 0.096 -1.06 E Is

7 2s2p4 — 2p’ 2 D --P° 369.01 [297130] [568126] 10 6 120 0.15 1.8 0.18 D 1

[369.73] [297116] [567583] 6 4 110 0.15 1.1 -0.05 D Is [367.56] [297150] [569211] 4 2 120 0.12 0.60 -0.32 D Is [369.78] [297150] [567583] 4 4 12 0.025 0.12 -1.00 E Is

8 "S “P° 458.42 [349987] [568126] 2 6 7.0 0.066 0.20 -0.88 D 1

[459.57] [349987] [567583] 2 4 6.8 0.043 0.13 -1.07 D Is [456.15] [349987] [5692111 2 2 7.2 0.022 0.067 -1.36 D Is

9 ,p _ .,po 510.83 [372367] [568126] 6 6 84 0.33 3.3 0.30 D 1

[511.21] [371967] [567583] 4 4 68 0.27 1.8 0.03 D Is [510.09] [373167] [569211] 2 2 56 0.22 0.73 -0.36 D- Is [506.99] [3719671 [569211] 4 2 29 0.055 0.37 -0.66 E Is [514.36] [373167] [567583] 2 4 14 0.11 0.37 -0.66 E Is

Na V

Forbidden Transitions

All the values for this ion have been taken from Pasternack [1]. The electric quadrupole

values have been corrected by applying Naqvi’s value [2] for the electric quadrupole moment s q

. References

[1] Pasternack, S., Astrophys. J. 92, 129 (1940).

[2] Naqvi, A. M., Thesis Harvard (1951).

Na V. Forbidden Transitions

No.

Transition

Array Multiplet mA) £i(cm ') Ek { cm ') gi gk

Type of

Transition dkii sec *) S(at.u.)

Accuracy Source

1 2p

:i - 2p

:i 4 S°- 2 D°

[2101.5] 0 [47570] 4 6 m 2.2 X 10-4 4.54 X 10- 7 c- 1 [2101.5] 0 [47570] 4 6 e 9.6 X 10-4 1.4 X 10-4 D- 1, 2 [2100.4] 0 [47595] 4 4 m 0.012 1.65 X 10“s c- 1 [2100.4] 0 [47595] 4 4 e 5.9 X 10-4 5.7 x 10~5 D- 1, 2

2 4g°_2p°

[1379.4] 0 [72493] 4 4 m 4.3 0.00167 C 1 [1379.4] 0 [72493] 4 4 e 3.0 x lO-6 3.6 X 10-8 D- 1, 2 [1380.2] 0 [72454] 4 2 m 1.7 3.31 X 10-4 C 1 [1380.2] 0 [72454] 4 2 e 7.5 x 10-fi 4.5 x 10-8 D- 1, 2

15
NaV. Forbidden Transitions — Continued

No.

Transition

Array Multiplet mA) £i(ctn"') Ek ( cm J ) gi gk

Type of

TransitionAki ( sec ') S(at.u.)

Accuracy Source

3

O Q

O 1 iN Q

[ 40.0 x 10-] [ 47570] [ 47595 ] 6 4 m 2.53 X 10"7 2.40 B- 1 , 2

[ 40.0 x 10s] [ 47570] [ 47595 ] 6 4 e 6.4 X 10-19 0.0016 D- 1 , 2

4 2£)° 2p°

(1 F)

4011.2 [ 47570 ] [ 72493 ] 6 4 m 0.67 0.0064 C 1 4011.2 [ 47570] [ 72493 ] 6 4 e 0.23 0.56 D 2

4021.6 [ 47595 ] [ 72454 ] 4 2 m 0.74 0.00357 C 1 4021.6 [ 47595 ] [ 72454 ] 4 2 e 0.19 0.24 D 2 4017.5 [ 47570] [ 72454 ] 6 2 e 0.13 0.16 D 2

4015.3 [ 47595 ] [ 72493 ] 4 4 m 1.2 0.0116 C 1 4015.3 [ 47595 ] [ 72493 ] 4 4 e 0.096 0.24 D 2

5 2p° 2p°

[ 25.6 X 105

] [ 72454 ] [ 72493 ] 2 4 m 5.33 x 10-7 1.33 B- 1 , 2

[ 25.6 x 10-] [ 72454] [ 72493 ] 2 4 e 2.5 x 10-' 8 6.6 x 10-4 D- 1 , 2

Na VI

Ground State ls22s2 2p2 3 P0 Ionization Potential 172.09 eV= 1388419 cm-1 Allowed Transitions

List of tabulated lines:

Wavelength [A] No.

o Wavelength [A] No. Wavelength [A] No.

311.93 3 420.49 8 1516.0 12

312.61 3 421.49 8 1532.5 12

313.74 3 423.84 8 1550.6 12 317.64 5 440.27 10 1567.8 12 361.25 4 489.57 1 1608.5 14

362.44 6 491.25 1 1615.9 14

363.77 7 491.34 1 1630.3 14

364.46 7 494.07 1 1634.6 14

364.52 7 494.16 1 1649.4 14

366.10 7 494.38 1 1741.5 13

366.23 7 528.73 11 1747.5 13

366.28 7 630.65 9 1748.3 13

414.35 2 632.88 9 1763.3 13

415.55 2 638.21 9 1770.3 13

417.57 2

Most data are obtained from the charge-expansion method of Cohen and Dalgarno [1] which

includes limited configuration mixing. Graphical comparisons of this material within the isoelectronic sequence depicting the dependence of /-values on nuclear charge have been made, and the

available experimental data for the lower ions, mostly from lifetime measurements, establish fairly

definitely that the uncertainties should not exceed 50 percent. Analogous graphs for the data obtained from the Coulomb approximation indicate that these values are accurate within 25 percent.

Reference

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A2 80 , 258-270 (1964).

16
NaVI. Allowed Transitions

No. Transition

Array

Multiplet x(A) /£i(cm-1

) Ek( cm-1 ) gt gk .4*i(10« sec

-1

)

fik S(at.u.) log gf Accuracy

Source

1 2s22p2 — 2s2p3 3 P — :! D° 492.80 1265 204187 9 15 18 0.11 1.6 -0.00 D + 1

[494.38] 1858 204131 5 7 18 0.092 0.75 -0.34 D + Is [491.34] 698 204222 3 5 14 0.082 0.40 -0.61 D + Is [489.57] 0 204260 1 3 10 0.11 0.18 -0.96 D- Is [494.16] 1858 204222 5 5 4.4 0.016 0.13 -1.10 D- Is [491.25] 698 204260 3 3 7.4 0.027 0.13 -1.09 D- Is [494.07] 1858 204260 5 3 0.50 0.0011 0.0089 -2.26 E Is

2 3p _ 3p° 416.53 1265 241341 9 9 47 0.12 1.5 0.03 D 1

[417.57] 1858 241341 5 5 35 0.090 0.62 -0.35 D Is [415.55] 698 241341 3 3 11 0.029 0.12 -1.06 D- Is [417.57] 1858 241341 5 3 19 0.031 0.21 -0.81 D- Is [415.55] 698 241341 3 1 48 0.041 0.17 -0.91 D- Is [415.55] 698 241341 3 5 12 0.051 0.21 -0.82 D- Is [414.35] 0 241341 1 3 16 0.12 0.17 -0.92 D- Is

3 3p_3S

° 313.16 1265 320589 9 3 290 0.14 1.3 0.10 D + 1

[313.74] 1858 320589 5 3 160 0.14 0.72 -0.15 D + Is [312.61] 698 320589 3 3 95 0.14 0.43 -0.38 D + Is [311 93] 0 320589 1 3 31 0.14 0.14 -0.85 D + Is

4 'D-'D° [361.25] 35358 312175 5 5 140 0.27 1.6 0.13 D 1

5 >D-'P° [317.64] 35358 350179 5 3 170 0.16 0.82 -0.10 D 1

6

. s _ip° [362.44] 74274 350179 1 3 47 0.28 0.33 -0.55 D- 1

7 2s2p3 — 2p4 3p°_3p 365.31 204187 477926 15 9 120 0.14 2.5 0.32 D 1

[366.10] 204131 477277 7 5 99 0.14 1.2 -0.01 D Is [364.46] 204222 478597 5 3 86 0.10 0.62 -0.30 D Is [363.77] 204260 479156 3 1 120 0.078 0.28 -0.63 D- Is [366.23] 204222 477277 5 5 17 0.035 0.21 -0.76 D- Is [364.52] 204260 478597 3 3 29 0.058 0.21 -0.76 D- Is [366.28] 204260 477277 3 5 1.2 0.0039 0.014 -1.93 E Is

8 3p° 3p 422.68 241341 477926 9 9 29 0.078 0.98 -0.15 D 1

[423.84] 241341 477277 5 5 22 0.059 0.41 -0.53 D Is [421.49] 241341 478597 3 3 7.4 0.020 0.082 -1.22 E Is [421.49] 241341 478597 5 3 13 0.034 0.14 -0.77 D- Is [420.49] 241341 479156 3 1 30 0.026 0.11 -1.11 D- Is [423.84] 241341 477277 3 5 7.5 0.033 0.14 -1.00 D- Is [421.49] 241341 478597 1 3 9.9 0.079 0.11 -1.10 D- Is

9

3S°

3p 635.58 320589 477926 3 9 18 0.32 2.0 -0.02 D 1

[638.21] 320589 477277 3 5 17 0.17 1.1 -0.29 D Is [632.88] 320589 478597 3 3 18 0.11 0.67 -0.48 D Is [630.65] 320589 479156 3 1 18 0.035 0.22 -0.98 D Is

10 'D°— 'D [440.27] 312175 539310 5 5 120 0.34 2.5 0.23 D 1

11 'P°-'D [528.73] 350179 539310 3 5 15 0.11 0.55 -0.48 D 1

12 2p3s — 3p ° 3p

2p(2 P°)3p

[1550.6] 808795 873287 5 5 3.99 0.144 3.67 -0.143 C ca, Is [1532.5] 807324 872577 3 3 1.4 0.048 0.73 -0.84 D ca, Is [1567.8] 808795 872577 5 3 2.14 0.0473 1.22 -0.63 C ca, Is [1516.0] 807324 873287 3 5 1.42 0.081 1.22 -0.61 C ca. Is

17
NaVI. Allowed Transitions — Continued

No. Transition

Array

Multiplet mA) Fdcm-1

) Ek ( cm-1

) gt gk /GdlO*

sec

-1

)

fik S(at.u.) log gf Accuracy

Source

13 2p3p — *3 1 6o

2p(

2 P°)3d

[1747.5] 873287 930510 5 7 2.87 0.184 5.3 -0.036 C ca , Is [1741.5] 872577 929999 3 5 2.19 0.166 2.85 -0.303 C ca , Is [1763.3] 873287 929999 5 5 0.70 0.0327 0.95 -0.79 C ca , Is [1748.3] 872577 929774 3 3 1.20 0.055 0.95 -0.78 c ca. Is [1770.3] 873287 929774 5 3 0.077 0.0022 0.063 -1.97 E ca. Is

14 "3 1 -c 0

[1649.4] 873287 933915 5 5 1.46 0.060 1.62 -0.52 C ca. Is [1615.9] 872577 934463 3 3 0.52 0.0202 0.323 -1.218 c ca. Is [1634.6] 873287 934463 5 3 0.83 0.0201 0.54 - 1.000 c ca. Is [1608.5] 872577 934745 3 1 2.10 0.0271 0.431 -1.090 c ca. Is [1630.3] 872577 933915 3 5 0.50 0.0335 0.54 - 1.000 c ca. Is

Na Vi

Forbidden Transitions

The sources adopted for this ion are Naqvi [1], Malville and Berger [2], and Froese [3].

Malville and Berger have utilized “spin-orbit” and “spin-spin and spin-other-orbit” integrals by

Garstang (Monthly Notices Roy. Astron. Soc. Ill, 115 (1951)). Naqvi’s and Malville and Berger’s

magnetic dipole transitions have generally been averaged since their methods are very similar.

But for the 3 P— 4 S transition, where configuration interaction is important, Malville and Berger’s

value, which is obtained empirically, has been preferred over that of Naqvi which is based purely on theory (see also General Introduction).

Since Froese's value of s(/ , the electric quadrupole moment, is obtained by using the most

advanced self-consistent held wave function calculations, we have modified Naqvi's and Malville

and Berger’s electric quadrupole values by hers,/.

References

[1] Naqvi, A. M. Thesis Harvard (1951).

[2] Malville, J. M., and Berger, R. A., Planetary and Space Science 13, 1131 (1965).

[3] Froese, C., Astrophys. J. 145, 932 (1966).

Navi. Forbidden Transitions

No.

Transition

Array Multiplet MA) Ej( cm 1 ) Ek ( cm *) gi gk

Type of

Transition Aki ( sec *) S(at.u.)

Accuracy Source

1 2p2 — 2p- ap._:*P

[14.32 x 104

] 0 698 1 3 m 0.00612 2.00 B 1 [53807] 0 1858 1 5 e 4.35 x 10-8 0.058 C 2, 3

[86183] 698 1858 3 5 m 0.0211 2.50 A 1 [86183] 698 1858 3 5 e 9.3 X lO-9 0.131 C 1, 3

2 *P — 'D

[2827.4] 0 35358 1 5 e 5.1 X lO-5 2.7 X lO -5 D 2. 3

[2884.3] 698 35358 3 5 m 0.441 0.00196 C 1, 2 [2884.3] 698 35358 3 5 e 1.7 x lO-4 1.0 X 10 -4 D 1, 3

[2984.2] 1858 35358 5 5 m 1.20 0.0059 C 1, 2 [2984.2] 1858 35358 5 5 e 0.0010 7.1 X 10 -4 D 1, 3

18
Na VI. Forbidden Transitions — Continued

No.

Transition

Array Multiplet a(A) L/cm -1

) Ek ( cm ') g> gk

Type of

Transition /Msec" 1 ) S(at.u.)

Accuracy Source

3

3 P-'S

[1359.11 698 74274 3 1 m 13.4 0.00125 C 2 [1380. 9J 1858 74274 5 1 e 0.019 5.7 X 10-* D 2, 3

4 'D-'S

[2568.9] 35358 74274 5 1 e 3.59 0.239 C 2, 3

Na VII

Ground State ls2 2s2 2/; 2 P?/2 Ionization Potential 208.444 eV = 1681679 cm-'

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

94.288 11 385.11 6 498.23 7 94.468 11 385.25 6 498.46 7 94.479 11 396.36 4 551.75 9

105.11 10 397.52 4 552.03 9

105.35 10 399.21 4 555.80 9

350.64 3 483.13 5 556.09 9

352.28 3 483.22 5 778.05 8

353.29 3 483.33 5 786.13 8

354.95 3 483.41 5 786.65 8

378.21 2 486.74 1 1752.2 12

381.30 2 491.86 1 1912.7 13

385.06 6 492.60 1 1917.1 13

Values for the majority of the transitions are c alculated from the nuclear charge-expansion

method of Cohen and Dalgarno [1] which includes limited configuration mixing. Graphical comparisons with other data for the lower ions of this isoelectronic sequence indicate that the uncertainties should be within 50 percent. For the 35 2 S — 3p 2 P° transition an/-value from the chargeexpansion calculations of Nacjvi and Victor [2] is available, which links up well with reliable

data available for the lower ions as is readily seen again from graphical comparison.

For the 2p 2 P° — 35 2 S and 2p 2 P° — 3d 2 D multiplets we have obtained data by exploiting the

dependence of /-values on nuclear charge: In these cases accurate data for several other ions of

the boron sequence are available from extended self-consistent field calculations by Weiss [3] in

which configuration mixing is fully included. Utilizing those values, which are also supported by

some experimental results on lower ions, we have obtained the /-values of the two transitions

simply by graphical interpolation.

References

[1] Cohen. M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

[2] Naqvi, A. M., and Victor, G. A., Technical Documentary Report No. RTD TDR-63-3118 (1964).

[3] Weiss, A. W., private communication (1967).

19
Na vii. Allowed Transitions

No. Transition

Array

Multiplet x(A) Ek( cm-1

) gi gk Aki( 108 sec-1

)

fik S(at.u.) log gf Accuracy

Source

1 2s 22p — 2s2p- "P° — "D 490.20 1426 205426 6 10 16 0.096 0.93 -0.24 D 1

[492.60] 2139 205412 4 6 16 0.086 0.56 -0.46 D Is [486.74] 0 205448 2 4 14 0.097 0.31 -0.71 D Is [491.86] 2139 205448 4 4 2.6 0.0096 0.062 -1.42 E Is

2 "P° — 2 S 380.27 1426 264400 6 2 68 0.049 0.37 -0.53 D + 1

[381.30] 2139 264400 4 2 46 0.050 0.25 -0.70 D + Is [378.21] 0 264400 2 2 22 0.048 0.12 -1.02 D + Is

3

2 P° — 2 P 352.95 1426 284749 6 6 120 0.23 1.6 0.14 D + 1

[353.29] 2139 285189 4 4 100 0.19 0.89 -0.12 D + Is [352.28] 0 283869 2 2 83 0.16 0.36 -0.49 D Is [354.95] 2139 283869 4 2 41 0.039 0.18 -0.81 D- Is [350.64] 0 285189 2 4 21 0.078 0.18 -0.81 D- Is

4 2s2p2 — 2p3 -.p_4S

° 398.17 [116331] [367481] 12 4 120 0.095 1.5 0.06 D + 1

[399.21] [116987] [367481] 6 4 56 0.089 0.70 -0.27 D + Is [397.52] [115920] [367481] 4 4 40 0.096 0.50 -0.42 D + Is [396.36] [115187] [367481] 2 4 24 0.11 0.30 -0.66 D + Is

5

2 D — 2 D° 483.28 205426 412345 10 10 34 0.12 1.9 0.08 D + 1

[483.33] 205412 412311 6 6 33 0.12 1.1 -0.14 D + Is [483.22] 205448 412395 4 4 30 0.11 0.68 -0.36 D Is [483. 13J 205412 412395 6 4 3.4 0.0080 0.076 -1.32 E Is [483.41] 205448 412311 4 6 2.3 0.012 0.076 -1.32 E Is

6

2 D — 2P° 385.13 205426 465080 10 6 55 0.073 0.93 -0.14 D 1

[385.06] 205412 465111 6 4 50 0.074 0.56 -0.35 D Is [385.25] 205448 465017 4 2 55 0.061 0.31 -0.61 D Is [385.11] 205448 465111 4 4 5.5 0.012 0.062 -1.32 E Is

7

2 S — 2 p° 498.31 264400 465080 2 6 10 0.12 0.38 -0.62 D 1

[498.23] 264400 465111 2 4 10 0.076 0.25 -0.82 D Is [498.46] 264400 465017 2 2 11 0.040 0.13 -1.10 D Is

8

2 P — 2 D° 783.72 284749 412345 6 10 8.0 0.12 1.9 -0.14 D 1 [786.65] 285189 412311 4 6 7.6 0.11 1.1 -0.36 D Is [778.05] 283869 412395 2 4 6.8 0.12 0.63 -0.62 D Is [786.13] 285189 412395 4 4 1.4 0.013 0.13 -1.28 E Is

9 2p _ 2p° 554.54 284749 465080 6 6 34 0.16 1.7 -0.02 D 1

[555.80] 285189 465111 4 4 28 0.13 0.94 -0.28 D Is [552.03] 283869 465017 2 2 23 0.10 0.38 -0.70 D Is [556.09] 285189 465017 4 2 11 0.026 0.19 -0.98 D- Is [551.75] 283869 465111 2 4 5.7 0.052 0.19 -0.98 D- Is

10 2p-(1 S)3s 2po_2S 105.27 1426 951347 6 2 450 0.025 0.052 -0.82 C interp

[105.35] 2139 951347 4 2 300 0.025 0.035 -1.00 C Is [105.11] 0 951347 2 2 150 0.025 0.017 -1.30 C Is

11 2p-('S)3d 2p°_2J) 94.409 1426 1060651 6 10 2700 0.60 1.1 0.56 C interp

[94.468] 2139 1060699 4 6 2600 0.53 0.66 0.33 C Is [94.288] 0 1060580 2 4 2200 0.60 0.37 0.08 C Is [94.479] 2139 1060580 4 4 440 0.059 0.073 -0.63 E Is

12 3s-(>S)3p 2g _2p°

[1752.2] 951347 1008418 2 4 3.32 0.306 3.53 -0.213 C 2, Is

13 3p-('S)3d 2 p°_2D

[1912.7] 1008418 1060699 4 6 2.20 0.181 4.56 -0.140 C ca , Is [1917.1] 1008418 1060580 4 4 0.37 0.020 0.51 -1.09 D ca, Is

20
Na VII

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1|. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

7

[1]

Naqvi, A. M., Thesis Harvard (1951).

Na VII. Forbidden Transitions

No.

Transition

Array Multiplet mA) fifcnr 1 ) ^(cm-1 ) gi gk

Type of

TransitionAki { sec

-1

) S(at.u.)

Accuracy Source

1 2p-('S)2p 2p° 2p°

[46738] 0 2139 2 4 m 0.0878 1.33 A 1

Na VIII

Ground State ls 22s2 'S0

Ionization Potential 264.155 eV = 2131139 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

77.267 6 497.80 3 2059.1 10

98.080 7 499.73 3 2558.2 16

411.15 2 788.75 1 2772.0 13 492.33 3 848.73 4 3021.0 15 492.91 5 1239.4 14 3108.9 17

493.97 3 1802.7 11 3182.3 8

495.76 3 1867.7 12 14401 9

496.25 3

Garstang and Shamey [1] have obtained the /-value for the intercombination line 2 ’So- 2

! P]

by calculating the ratio of this line against the resonance transition in the intermediate coupling

approximation and by using for the resonance line a value calculated according to Cohen and

Dalgarno’s method [2]. The data calculated from the charge-expansion method of Cohen and

Dalgarno [2], which includes limited configuration mixing, are estimated to be usually accurate to 50 percent or better, while the charge-expansion method of Naqvi and Victor [3] should be less

reliable when the effects of configuration interaction are strong, since these are neglected entirely.

In assigning the accuracy estimates for these methods as well as for the Coulomb approximation we

were to a great extent guided by studying the degree of fit of the data into the systematic trends

along isoelectronic sequences.

References

[1] Garstang, R. H., and Shamey, L. J., Astrophys. J. 148, 665-666 (1967).

[2] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258—270 (1964).

[3] Naqvi, A. M., and Victor, G. A., Technical Documentary Report No. RTD TDR — 63-3118 (1964).

21
Na VIII. Allowed Transitions

No. Transition

Array

Multiplet MA) £i(cm'‘) FA-fcm- 1

) &i fi.

X

T-dlO*

sec

-1

)

fix Slat.u.) log Sf Accuracy

Source

1 2s2 — 2s(

2 S)2p 1 S — :! P°

[788.75] 0 [126783] i 3 6.4 X lO-1 1.8 x lO-5 4.7 X 10-5 -4.74 D In

2 'S-'P° 411.15 0 243223 i 3 45.5 0.346 0.468 -0.461 C 2

3 2s2p — 2p

2 :sp° ap 496.06 [127593] [329183] 9 9 37 0.14 2.0 0.10 D + 2

[496.25] [128387] [329899] 5 5 28 0.10 0.83 -0.30 D + Is [495.76] [126783] [328494] 3 3 9.4 0.035 0.17 -0.98 D- Is [499.73] [128387] [328494] 5 3 15 0.034 0.28 -0.77 D- Is [497.80] [126783] [327667] 3 1 36 0.045 0.22 -0.87 D- Is [492.33] [126783] [329899] 3 5 9.5 0.058 0.28 -0.76 D- Is [493.97] [126053] [328494] 1 3 12 0.14 0.22 -0.85 D- Is

4 *0o 1 6 [848.73] 243223 361046 3 5 8.0 0.14 1.2 -0.38 D- 2

5 'P°-'S [492.91] 243223 446099 3 1 73 0.088 0.43 -0.58 E 2

6 2s2 -2s( 2 S)3p 'S-'P0 [77.267] 0 1294214 1 3 2000 0.55 0.14 -0.26 E 3

7 2s2p — 2s( 2 S)3s 'P°-'S [98.080] 243223 1262799 3 1 140 0.0065 0.0063 -1.71 E 3

8 2s3s-2s( 2S)3p 'S-'P0 [3182.3] 1262799 1294214 1 3 0.461 0.210 2.20 -0.68 C 3

9 2p3s — lp°_ ip |14401] 1426049 1432991 3 3 0.00484 0.0150 2.14 -1.347 C ca

2p(

2 P°)3p

10 1 P° — 1 D [2059.1] 1426049 1474598 3 5 1.80 0.190 3.87 - 0.244 C ca

11 'P

0 -'S [1802.7] 1426049 1481521 3 1 2.70 0.0438 0.78 -0.88 C ca

12 2s3p — >P°— 'D [1867.7] 1294214 1347756 3 5 2.01 0.175 3.23 -0.280 C ca

2s(

2 S)3d

13 2p3p — >P->D° [2772.0] 1432991 1469055 3 5 0.419 0.080 2.20 -0.62 C ca

2p(

2 P°)3d

14 1 P _ ipo [1239.4] 1432991 1513677 3 3 3.02 0.069 0.85 -0.68 C ca

15 >D-'F° [3021.0] 1474598 1507690 5 7 0.490 0.094 4.67 -0.328 C ca

16 'D-'P° [2558.2] 1474598 1513677 5 3 0.0226 0.00133 0.056 -2.177 c ca

17 'S-'P° [3108.9] 1481521 1513677 1 3 0.258 0.112 1.15 -0.95 c ca

Na VIII

Forbidden Transitions

Naqvi’s calculations [1] are the only available source. The results for the :i P° — :5 P° transitions are essentially independent of the choice of the interaction parameters. For the :i P° — 'P° transitions, Naqvi uses empirical term intervals, i.e., the effects of configuration interaction should be

partially included.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

22
NaVIII. Forbidden Transitions

No.

Transition

Array Multiplet A(A) Ei( cm ) Ek { cm-') gi gk

Type of

Transition Aki ( sec" 1 ) S(at.u.)

Accuracy Source

1 2s2p — 2s(z S)2p “C0 1 *6o

[13.70 x HP] [126053] [126783] 1 3 m 0.00699 2.00 B 1 [62327] [126783] [128387] 3 5 m 0.0557 2.50 A 1

2 *60 1 -oo

[853.46] [126053] 243223 1 3 m 2.70 1.87 X 10-4 C 1 [858.81] [126783] 243223 3 3 m 2.06 0.0145 C 1 [870.05] [128287] 243223 5 3 m 3.18 2.33 X 10-4 C 1

Na IX

Ground State ls2 2s 2 S1/2

Ionization Potential

Allowed Transitions

299.78 eV = 2418520 cnr1

List of tabulated lines:

Wavelength [A] No. Wavelength [A | No. Wavelength [A] No.

53.860 3 77.764 6 224.17 11 58.201 7 77.911 6 681.72 1 58.279 7 77.925 6 694.26 1 58.291 7 81.175 4 2487.7 8

58.952 5 81.350 4 2535.8 8

59.044 5 208.02 9 6841.8 10

70.615 2 223.79 11 7103.4 10

70.653 2 223.99 11 7218.2 10

For the transition 2s — 2p, the charge-expansion calculation of Cohen and Dalgarno [1] is chosen.

An uncertainty of less than 10 percent is indicated from the graphical comparison of this value

with the other material for the same transition within the isoelectronic sequence. Data for the other

listed transitions have been obtained from the Coulomb approximation. Plots of the dependence

of /-value on nuclear charge for all these transitions have been made and show that this material

connects up very smoothly with the data for the lower ions as well as with the hydrogenic value

for infinite nuclear charge. Based on this impressive agreement, accuracies of 10 percent (or 25

percent for some of the smaller values) are indicated.

Reference

[1J Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258—270 (1964).

23
NalX. Allowed Transitions

No. Transition

Array

Multiplet MA) £i(cm_1

) Ek(c ITT 1

) gi A AK108 sec

-1

) f* S(at.u.) log gf Accuracy

Source

1 2s — 2p 2g _ 2p° 685.85 0 145805 2 6 6.59 0.140 0.630 -0.553 B 1

[681.72] 0 146688 2 4 6.71 0.0936 0.420 -0.728 B Is [694.26] 0 144038 2 2 6.36 0.0459 0.210 -1.037 B Is

2 2s — 3p 2g _ 2p° 70.628 0 1415876 2 6 1380 0.310 0.144 -0.208 B ca

[70.615] 0 1416130 2' 4 1380 0.206 0.0960 -0.385 B Is [70.653] 0 1415368 2 2 1380 0.103 0.0480 -0.686 B Is

3 2s — 4p 2g _ 2p° [53.860] 0 1856665 2 6 630 0.082 0.0292 -0.79 C + ca

4 2p — 3s 2p° 2g 81.292 145805 1375944 6 2 705 0.0233 0.0374 -0.854 B ca

[81.350] 146688 1375944 4 2 470 0.0233 0.0250 -1.031 B Is [81.175] 144038 1375944 2 2 236 0.0234 0.0125 -1.330 B Is

5 2p — 4s 2p°_ 2g 59.013 145805 1840336 6 2 276 0.00480 0.0056 -1.54 C ca

[59.044] 146688 1840336 4 2 184 0.00480 0.00373 -1.72 C Is [58.952] 144038 1840336 2 2 92 0.00482 0.00187 -2.016 C Is

6 2p — 3d 2p° 2p 77.819 145805 1430114 6 10 4430 0.670 1.03 0.604 B ca

[77.911] 146688 1430204 4 6 4410 0.602 0.618 0.382 B Is [77.764] 144038 1429980 2 4 3690 0.670 0.343 0.127 B Is [77.925] 146688 1429980 4 4 735 0.0670 0.0687 -0.572 B Is

7 2p — 4d 2p° 2J) 58.254 145805 1862432 6 10 1620 0.137 0.158 -0.085 C + ca

[58.279] 146688 1862572 4 6 1620 0.124 0.095 -0.305 c + Is [58.201] 144038 1862222 2 4 1360 0.138 0.053 -0.56 c + Is [58.291] 146688 ^862222 4 4 267 0.0137 0.0105 -1.261 c + Is

8 3s — 3p 2 S _2po 2503.5 1375944 1415876 2 6 0.822 0.232 3.82 -0.333 B ca

[2487.7] 1375944 1416130 2 4 0.839 0.156 2.55 -0.506 B Is [2535.8] 1375944 1415368 2 2 0.789 0.0761 1.27 -0.818 B Is

9 3s — ip 2g 2po

[208.02] 1375944 1856665 2 6 171 0.334 0.457 -0.175 C + ca

10 3p — 3d -2p° 2jy 7021.5 1415876 1430114 6 10 0.0295 0.0363 5.04 -0.662 B ca

[7103.4] 1416130 1430204 4 6 0.0285 0.0323 3.02 -0.889 B Is [6841.8] 1415368 1429980 2 4 0.0266 0.0373 1.68 -1.127 B Is [7218.2] 1416130 1429980 4 4 0.00453 0.00353 0.336 -1.850 B Is

11 3p — id 2p° 2p 223.94 1415876 1862432 6 10 456 0.57 2.53 0.53 C + ca

[223.99] 1416130 1862572 4 6 457 0.51 1.52 0.310 C + Is [223.79] 1415368 1862222 2 4 380 0.57 0.84 0.057 c + Is [224.17] 1416130 1862222 4 4 76 0.057 0.169 -0.64 c + Is

24
MAGNESIUM

Ground State

Mg I

ls22s22/>«3s2 'So

Ionization Potential 7.644 eV = 61669. 14 cm-'

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A) No. Wavelength [A] No.

2025.82 4 3096.89 9 5528.40 10

2736.54 15 3329.92 11 7657.8 24

2776.69 3 3332.15 11 8806.76 6

2778.27 3 3336.67 11 8923.57 25

2779.83 3 3829.35 5 9255.78 19

2781.42 3 3832.30 5 9414.96 21

2782.97 3 3838.29 5 10811.1 20

2846.72 12 4351.91 16 10953.3 26

2848.34 12 4562.48 1 10957.3 26

2851.66 12 4571.10 1 10965.5 26

2852.13 2 4575.3 1 11828.2 8

2936.74 14 4702.99 13 12083.7 17 2938.47 14 5167.32 7 14877.6 18

2942.00 14 5172.68 7 15031 22

3091.07 9 5183.60 7 17108.7 23

3092.98 9 ,

For the intercombination line 3s2 'So — 3s3p ;i P°, Boldt’s [2] absorption tube measurement is averaged with Garstang’s [1] theoretical result. The latter has been renormalized by using the

/-value for the resonance line listed in this table. Garstang [1] has also calculated values for the

two intercombination lines 3s2 'So — 3s3p 3

P<>, 2 , which arise by the interaction of the nuclear mo- ments with the electrons. These values have also been renormalized in the same manner as above.

In the case of the J = 0 to ] = 2 transition, magnetic quadrupole radiation constitutes an important

contribution to the total transition probability. (See Mg I — Forbidden Lines; see also the General

Introduction for adding transition probabilities of various types of radiation.) It should be noted

that the listed values for the nuclear-spin-induced transitions are for the isotope Mg25

; for natural

magnesium, the relative isotopic abundances must be taken into account.

From the extensive material on the resonance line we have selected the results of Lurio [3] (lifetime measurement via Hanle-effect), Smith and Gallagher [4] (same method) and Weiss [5] (Hartree-Fock calculations in the dipole length approximation, with superposition of configurations). The average of the three values, which agree within 5 percent, has been adopted.

For the other lines, we have made use of three theoretical investigations and two experiments.

The calculations by Weiss [5], Zare [7), and Trefftz [9] all employ the self-consistent field approach.

They differ insofar as Weiss uses Hartree-Fock functions and superimposes many possible configurations; Zare also includes configuration mixing, but starts with the simpler, less accurate

Hartree-Fock-Slater wavefunctions; and Trefftz uses Hartree-Fock wavefunctions but takes configuration mixing only partially into account. Weiss’ approach must be considered as the most

comprehensive one; thus we have used his values — averaged with experiment — in preference over the others and, when not available, have chosen Zare’s results over those of Trefftz. Normally

the three methods agree within 15 percent. Exceptions are transitions which involve the 3s3p 'P°

state, where Zare’s values are much larger than those of the other two authors. However, for two

lines originating from this state where the experimental values of Kersten and Ornstein [8] are

25
available, Zare agrees better with the measurements than Trefftz, and the average of the experiment and Zare's result has been adopted.

The two experiments mentioned above are the anomalous dispersion measurements of Penkin

and Shabanova [6] and emission intensity measurements of Kersten, and Ornsteirl [8] with a low-current, free-burning arc. Both experiments yield relative /-values, which have been nor- malized by a least-squares fit to Weiss’ theoretical results. The values of Penkin and Shabanova

differ by no more than 15 percent from Weiss’ results, which speaks for the reliability of the two

methods. Therefore, averages from the two methods have been used when they overlap. The

measurements of Kersten and Ornstein show a much larger scatter. Thus their results are only

sparingly used.

References

[1] Garstang, R. H., J. Opt. Soc. Am. 52 , 845-851 (1962).

[2] Boldt, G.. Z. Physik 150, 205-214 (1958).

[3] Lurio, A., Phys. Rev. 136, A376-A379 (1964).

[4] Smith. W. W., and Gallagher, A., Phys. Rev. 145, 26-35 (1966).

[5] Weiss, A. W., J. Chem. Phys. 47, 3573 (1967).

[6] Penkin. N. P., and Shabanova, L. N., Optics and Spectroscopy (U.S.S.R.) 12, 1-5 (1962).

[7] Zare, R. N., J. Chem. Phys. 47, 3561 (1967).

[8] Kersten. J. A. H., and Ornstein, L. S., Physica 8, 1124^1136 (1941).

[9] Trefftz, E., Z. Astrophys. 28, 67-78 (1950).

Mg i. Allowed Transitions

No. Transition

Array

Multiplet X(A) £i(cm_1

) Ek( cm-1

) gi gk ^(10* sec

-1

)

ft* S(at.u.) log gf Accuracy

Source

1 3s2 — 'S- :! P°

3s( 2S)3p ( 1 ) M562.48 0 21911 1 5 2.2 X 10-' 2 3.5 x 10-’ 2 5.3 x 10-" - 11.46 D- In 4571.10 0 21870 1 3 4.3 X 10-6 4.0 x 10-6 6.1 X lO-5 - 5.40 D In. 2

a

[ 4575 . 3 ] 0 21850 1 1 5.8 X 10- 12 1.8 x 10- 12 2.8 X 10-" - 11.74 D- In

2

, s _ , p° 2852.13 0 35051 1 3 4.95 1.81 17.0 0.258 B 3. 4.5

(1 uv)

3 3s3p — 3p2 :i P° — 3P 2779.9 21891 57853 9 9 5.2 0.61 50 0.74 C + 5 . 6

n

(6 uv)

2779.83 21911 57874 5 5 3.92 0.455 20.8 0.357 c + Is 2779.83 21870 57833 3 3 1.31 0.152 4.17 - 0.341 c Is 2782.97 21911 57833 5 3 2.16 0.151 6.9 - 0.122 c Is 2781.42 21870 57813 3 1 5.3 0.204 5.6 - 0.213 c Is 2776.69 21870 57874 3 5 1.31 0.252 6.9 - 0.121 c Is 2778.27 21850 57833 1 3 1.76 0.61 5.6 - 0.215 c Is

4 3s2 - . S _ip° 2025.82 0 49347 1 3 1.2 0.22 1.5 - 0.66 D 7

3s( 2 S)4p (2 uv)

5 3s3p — :i P° — :i D 38.35.3 21891 47957 9 15 1.68 0.619 70.3 0.746 B 5 . 6

n

3s{ 2 S)3d ( 3 ) 3838.29 21911 47957 5 7 1.68 0.519 32.8 0.414 B Is 3832.30 21870 47957 3 5 1.27 0.465 17.6 0.145 B Is 3829.35 21850 47957 1 3 0.940 0.620 7.82 - 0.208 B Is 3838.29 21911 47957 5 5 0.420 0.0928 5.86 - 0.333 B Is 3832.30 21870 47957 3 3 0.703 0.155 5.86 - 0.333 B Is 3838.29 21911 47957 5 3 0.047 0.0062 0.39 — 1.51 D Is

6

o 1 a 8806.76 35051 46403 3 5 0.14 0.28 24 - 0.08 D 5

(7)

7 3s3p — :! P° — :! S 5178.3 21891 41197 9 3 1.04 0.139 21.3 0.097 B 5. 6n

3s( 2 S)4s (2) 5183.60 21911 41197 5 3 0.575 0.139 11.9 - 0.158 B Is 5172.68 21870 41197 3 3 0.346 0.139 7.10 - 0.380 B Is 5167.32 21850 41197 1 3 0.116 0.139 2.36 - 0.857 B Is

26
Mg i. Allowed Transitions — Continued

No. Transition

Array

Multiplet mA) £7(cm_1

) £i-(cm _l gt gk Aki(l0* seer 1 )fik S(at.u.) log gf Accuracy

Source

8

, po_. S 11828.2 35051 43503 3 1 0.26 0.18 21 -0.27 D 5

(6)

9 3s3p — :i P°

:! D 3095.0 21891 54192 9 15 0.56 0.134 12.3 0.081 C 6n, 7

3s( 2 S)4a? (5) 3096.89 21911 54192 5 7 0.56 0.112 5.7 -0.252 C Is 3092.98 21870 54192 3 5 0.420 0.101 3.07 -0.52 C Is 3091.07 21850 54192 1 3 0.313 0.135 1.37 -0.87 C Is 3096.89 21911 54192 5 5 0.139 0.0200 1.02 -1.000 C Is 3092.98 21870 54192 3 3 0.233 0.0334 1.02 -1.000 C Is 3096.89 21911 54192 5 3 0.016 0.0013 0.068 -2.18 E Is

10 ip°_iD 5528.40 35051 53135 3 5 0.14 0.11 6.0 -0.48 D- 7, 8n

(9)

11 3s3p — 3p°_3g 3334.5 21891 51872 9 3 0.31 0.017 1.7 -0.82 D 8n

3s( 2 S)5s (4) 3336.67 21911 51872 5 3 0.17 0.017 0.93 -1.07 D Is 3332.15 21870 51872 3 3 0.10 0.017 0.56 -1.29 D Is 3329.92 21850 51872 1 3 0.034 0.017 0.19 -1.77 D Is

12 3s3p— 3p° 3 J) 2850.0 21891 56968 9 15 0.27 0.055 4.7 -0.31 D- 7, 8n

3s( 2 S)5d (5 uv)

2851.66 21911 56968 5 7 0.27 0.047 2.2 -0.63 D- Is 2848.34 21870 56968 3 5 0.21 0.043 1.2 -0.89 D- Is 2846.72 21850 56968 1 3 0.15 0.055 0.52 -1.26 D- Is 2851.66 21911 56968 5 5 0.068 0.0083 0.39 -1.38 D- Is 2848.34 21870 56968 3 3 0.11 0.014 0.39 -1.38 D- Is 2851.66 21911 56968 5 3 0.0076 5.5 x lO"4 0.026 -2.56 E Is

13 ip°— ! D 4702.99 35051 56308 3 5 0.16 0.088 4.1 -0.58 D- 7, 8n

(11)

14 3s3p — 3p° 3g 2940.2 21891 55892 9 3 0.16 0.0067 0.58 -1.22 D- 8n

3s( 2 S)6s (3 uv)

2942.00 21911 55892 5 3 0.086 0.0067 0.32 -1.47 D- Is 2938.47 21870 55892 3 3 0.052 0.0067 0.19 -1.70 D- Is 2936.74 21850 55892 1 3 0.017 0.0067 0.065 -2.17 D- Is

15 3s3p — :! P°— :i D

3s( 2 S)6d (9 uv)

2736.54 21911 58443 5 7 0.207 0.0326 1.47 -0.79 C 6n

16 ip°_ ip 4351.91 35051 58023 3 5 0.21 0.10 4.3 -0.52 D- 8n

(14)

17 3s3d— 'D-'F° 12083.7 46403 54676 5 7 0.170 0.52 103 0.415 C 9

3s( 2 S)4/ (26)

18 :i D — :i F° 14877.6 47957 54677 15 21 0.105 0.487 358 0.86 C 9

19 3s3d— 'D— 'F° 9255.78 46403 57204 5 7 0.089 0.16 24 -0.09 C 9

3s(

2 S)5/ (27)

20 3 D — :i F° 10811.1 47957 57204 15 21 0.0452 0.111 59 0.221 C 9

(37)

21 3s3d— :i D — :i F° 9414.96 47957 58576 15 21 0.022 0.041 19 -0.21 C 9

3s( 2 S)6/ (38)

22 3s4s — 3 S _3po 15031 41197 47848 3 9 0.139 1.41 209 0.63 C + 7

3s( 2 S)4p

23 c

n 1 X

0 17108.7 43503 49347 1 3 0.094 1.24 70 0.093 c 7

24 3s4s — 3S _3po

76.57.8 41197 54252 3 9 0.0148 0.0390 2.95 -0.93 c- 9

3s( 2S)5p (22)

25 'S-'P° 8923.57 43503 54707 1 3 0.011 0.040 1.2 -1.40 D- ca

(25)

308-022 0-69—3 27
Mg i. Allowed Transitions — Continued

No Transition

Array

Multiplet mA) FileTM-1 ) Ek( cm-') gi gk /R,(108 sec

-1

)

fik S(at.u.) loggf Accuracy

Source

26 3s4p — :5 P° — :! D 10962 47848 56968 9 15 0.044 0.13 43 0.08 D ca

3s( 2 S)5d (35)

10965.5 47851 56968 5 7 0.044 0.11 20 -0.25 D Is 10957.3 47844 56968 3 5 0.033 0.10 11 -0.52 D Is 10953.3 47841 56968 1 3 0.025 0.13 4.8 -0.88 D- Is 10965.5 47851 56968 5 5 0.011 0.020 3.6 -1.00 D- Is 10957.3 47844 56968 3 3 0.018 0.033 3.6 -1.00 D- Is

. 10965.5 47851 56968 5 3 0.0012 0.0013 0.24 -2.18 E Is

a See introduction.

Mg i Forbidden Transitions

The transition probability for that part of the 3s2 'So — 3s3p :i P> transition which is magnetic

quadrupole radiation (m.q.) is taken from calculations of Garstang [1]. Following a private communication by him, we have renormalized his published value (For the addition of transition

probabilities arising from various types of radiation, see the General Introduction; also, for the

relation of Aki (m.q.) to other quantities, see [1].) The data for the :! P° — ;! P° and -'sp 0 — ip° magnetic

dipole transitions are from Naqvi’s calculations [2]. The results for the :5 P° — ! P° transitions are

essentially indpendent of the choice of interaction parameters and therefore more accurate than

those for 3P°— ’P°. For the latter transitions, Naqvi uses empirical term intervals, i.e., the effects

of configuration interaction should be partially included. For three 3s3/> — 3s4p electric quadrupole

lines, transition probabilities have been calculated by Miiller [3], which are consistent with

experimental observations.

References

[1] Garstang, R. H., Astrophys. J. 148, 579-584 (1967) and private communication (1967).

[2] Naqvi. A. M., Thesis Harvard (1951).

[3] Mdller, N. H.. Arkiv for Fysik 29, 353-358 (1966). Mg i. Forbidden Transitions

No.

Transition

Array Multiplet X(A) Ei( cm -1

) Ek ( cm-1) gi gk

Type of

Transition

Aki (sec l ) S(at.u.)

Accuracy Source

1 3s 2 — 3s(2 S)3p S-:! P°

4562.48 0.000 21911.2 1 5 m.q. 2.8 x 10 -4 E In

2 3s3p — 3s(2 S)3p -6o 1 x

o

[49.839 x 105

] 21850.4 21870.5 1 3 m 1.45 x 10 -7 2.00 A 2

[24.555 X 105

] 21870.5 21911.2 3 5 m 9.11 x 10 -7 2.50 A 2

3 x

o l Xo

[7573.2] 21850.4 35051.3 1 3 m 1.10 x 10 -H 5.3 x 10 -8 C 2 [7584.7] 21870.5 35051.3 3 3 m 0.0050 2.45 X 10 -4 C 2 [7608.2] 21911.2 35051.3 5 3 m 1.35 x 10 -K 6.6 x 10 -8 c 2

4 3s3p — 3s(2 S)4p XIo 1 X

o

3854.97 21911.2 47844.4 5 3 e 53 81 D 3

3853.96 21911.2 47851.2 5 5 e 25 63 D 3

3848.91 21870.5 47844.4 3 3 e 18 27 D 3

28
Mg II

Ground State ls22s22p63s 2 S1/2

Ionization Potential 15.03 eV= 121267.41 cm-'

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

1026.0 3 3538.8 17 4481.2 7 1239.9 2 3538.81 17 5264.3 22

1240.4 2 3549.52 18 6346.8 21

2660.8 10 3553.37 18 7877.05 13

2790.77 4 3613.78 12 7896.37 13

2795.53 1 3615.58 12 7896.4 13

2797.99 4 3848.2 8 8213.99 14

2798.0 4 3848.21 8 8234.64 14

2802.70 1 3850.39 8 9218.25 11 2928.63 5 4384.64 15 9244.27 11

2936.51 5 4390.56 15 9632.2 20

3104.8 9 4390.6 15 10914.2 6

3172.71 19 4427.99 16 10915.3 6

3175.78 19 4433.99 16 10951.8 6

3534.97 17

The adopted value for the resonance line is an average of self-consistent field calculations

including polarization and exchange effects, by Biermann and Liibeck [1], calculations employing

a scaled Thomas-Fermi potential by Stewart and Rotenberg [2], and a lifetime experiment utilizing

the Hanle effect by Smith and Gallagher [3]. The results of the three methods agree within a few

percent. The other transitions covered by Biermann and Liibeck (3p — 3d and 3d— 4/) should also

be quite accurate, i.e., within 10 percent. Less refined self-consistent field calculations (including

exchange but neglecting polarization) have been undertaken for several other multiplets by Chapman, Clarke and Aller [4]. In the remaining two transitions treated by Stewart and Rotenberg

(3.s — 4p and 3s — 5p) and in all transitions involving the 5p state there appear to be considerable

cancellation effects in the transition integral. Hence, accuracy ratings of “D” or “E” have been

assigned to these transitions.

For Mg II, a member of the sodium isoelectronic sequence, it is possible to utilize extensively

the dependence of oscillator strengths on nuclear charge for the intercomparison of analogous

transitions. Thus, the degree of fit of the individual /-values into the systematic trends has served

as one of the decisive factors for the choice of accuracy assignments.

References

[1] Biermann, L., and Liibeck, K., Z. Astrophys. 25, 325-339 (1948).

[2] Stewart, J. C., and Rotenberg, M., Phys. Rev. 140, 1508A-1519A (1965).

[3] Smith, W. W.. and Gallagher, A., Phys. Rev. 145, 26-35 (1966).

[4] Chapman, R. D., Clarke, W. H., and Aller, L. H., Astrophys. J. 144, 376-380 (1966).

29
Mg II. Allowed Transitions

No. Transition Multiplet \(A) £i(cm ') Ek( cm-') gi gk ^UO8 fik S(at.u.) log gf Accu- Source

Array sec ’) racy

1 3s — 3p 2S _ 2p° 2797.9 0 35730 2 6 2.67 0.940 17.3 0.274 B 4- 1,2,3

(1 uv)

2795.53 0 35761 2 4 2.68 0.627 11.5 0.098 B + Is 2802.70 0 35669 2 2 2.66 0.313 5.78 -0.203 B + Is

2 3s — 4p 2g 2p° 1240.1 0 80640 2 6 0.0033 2.3 X 10-4 0.0019 -3.34 E 2

[1239.9] 0 80650 2 4 0.0033 1.5 X 10-4 0.0012 -3.52 E Is [1240.4] 0 80620 2 2 0.0033 7.7 X 10-5 6.3 x 10~4 -3.81 E Is

3 3s — 5p 2<g _ 2po 1026.0 0 97464 2 6 0.0021 0.0010 0.0068 -2.70 D 2

4 3p—3d 2 p°_2J) 2795.5 35730 71491 6 10 4.71 0.920 50.8 0.742 B 1 (3 uv)

2797.99 35761 71491 4 6 4.70 0.828 30.5 0.520 B Is 2790.77 35669 71491 2 4 3.94 0.920 16.9 0.265 B Is [2798.0] 35761 71491 4 4 0.783 0.0919 3.39 -0.435 B Is

5 3p — 4s

to "C o 1 to in 2933.8 35730 69805 6 2 3.23 0.139 8.1 -0.079 C + ca

(2 uv)

2936.51 35761 69805 4 2 2.15 0.139 5.4 -0.255 C + Is 2928.63 35669 69805 2 2 1.07 0.138 2.66 -0.56 c + Is

6 3d— 4p

2 D _ 2 po 10926 71491 80640 10 . 6 0.166 0.178 64 0.250 c ca

(3) 10914.2 71491 80650 6 4 0.150 0.178 38.4 0.029 c Is 10951.8 71491 80620 4 2 0.166 0.149 21.5 -0.225 c Is 10915.3 71491 80650 4 4 0.0162 0.0290 4.17 -0.94 c Is

7

cO 1 2 D _2F

° 4481.2 71491 93800 10 14 2.25 0.950 140 0.978 B 1 (4)

8 3d — 5p 2J) _ 2po 3849.1 71491 97464 10 6 0.035 0.0047 0.60 -1.33 D 4

(5) 3848.21 71491 97469 6 4 0.032 0.0047 0.36 -1.55 D Is 3850.39 71491 97455 4 2 0.035 0.0039 0.20 -1.81 D Is [3848.2] 71491 97469 4 4 0.0035 7.8 x 10-4 0.039 -2.51 D Is

9 3d- 5/ 2£) _ 2p° 3104.8 71491 103690 10 14 0.81 0.164 16.8 0.215 C ca

(6)

10 1 'O’ CO 2D — 2F° 2660.8 71491 109062 10 14 0.38 0.057 5.0 -0.24 D ca

(4 uv)

11 4s — 4p

2 S — 2 P° 9226.0 69805 80640 2 6 0.358 1.37 83 0.438 C + ca

(1) 9218.25 69805 80650 2 4 0.359 0.91 55 0.262 c + Is 9244.27 69805 80620 2 2 0.356 0.456 27.8 -0.040 c + Is

12 4s — 5p 2 s — 2 P° 3614.4 69805 97464 2 6 0.0017 0.0010 0.024 -2.70 E 4

(2) 3613.78 69805 97469 2 4 0.0018 6.9 x 10-4 0.016 -2.86 E Is 3615.58 69805 97455 2 2 0.0017 3.4 x 10-4 0.0081 -3.17 E Is

13 4p — 4d 2 p°_ 2 D 7889.9 80640 93311 6 10 0.79 1.23 192 0.87 C + ca

(8) 7896.37 80650 93311 4 6 0.79 1.11 115 0.65 c + Is 7877.05 80620 93311 2 4 0.66 1.23 64 0.391 c + Is [7896.4] 80650 93311 4 4 0.133 0.124 12.9 -0.305 c + Is

14 4p — 5s 2po_2S 8231.6 80640 92791 6 2 0.78 0.264 42.9 0.200 c + ca

(7) 8234.64 80650 92791 4 2 0.52 0.264 28.6 0.024 c + Is 8213.99 80620 92791 2 2 0.260 0.263 14.2 -0.279 c + Is
Mg II. Allowed Transitions — Continued

No. Transition Multiplet MA) £i(cm'') Ek{ cm-') gi gk dfri (108 fk S(at.u.) log gf Accu- Source

Array sec

-1

) racy

15 4p — 5d 2po 2£) 4388.6 80640 103420 6 10 0.17 0.081 7.0 -0.31 D 4

(10)

4390.56 80650 103420 4 6 0.17 0.074 4.3 -0.53 D Is 4384.64 80620 103420 2 4 0.14 0.083 2.4 -0.78 D Is [4390.61 80650 103420 4 4 0.017 0.0050 0.29 -1.70 D Is

16 4p — 6s 2p°_ 2g 4432.0 80640 103197 6 2 0.321 0.0315 2.76 -0.72 c + 4

(9) 4433.99 80650 103197 4 2 0.214 0.0315 1.84 -0.90 c + Is 4427.99 80620 103197 2 2 0.107 0.0315 0.92 -1.201 C + Is

17 4p — 6d 2 p°_ 2 0 3537.6 80640 108900 6 10 0.059 0.019 1.3 -0.95 D ca

(12)

3538.81 80650 108900 4 6 0.059 0.017 0.77 -1.18 D Is 3534.97 80620 108900 2 4 0.050 0.019 0.43 -1.43 D Is [3538.81 80650 108900 4 4 0.0098 0.0018 0.086 -2.13 D Is

18 ip — Is 2p°_2§ 3552.1 80640 108784 6 2 0.162 0.0102 0.72 -1.213 C ca

(11)

3553.37 80650 108784 4 2 0.108 0.0102 0.477 -1.390 C Is 3549.52 80620 108784 2 2 0.054 0.0102 0.238 -1.69 C Is

19 4p — 8s 2 po_2S 3174.8 80640 112129 6 2 0.097 0.00490 0.307 -1.53 C ca

(13)

3175.78 80650 112129 4 2 0.065 0.00489 0.205 -1.71 c Is 3172.71 80620 112129 2 2 0.0325 0.00490 0.102 -2.009 c Is

20 id- 5

f

1 O Q

C4 9632.2 93311 103690 10 14 0.413 0.80 255 0.91 c ca

(15)

21 4d— 6/ 65 a 1 0 6346.8 93311 109062 10 14 0.216 0.183 38.2 0.263 c ca

(16)

22 id- If

2 D _ 2p° 5264.3 93311 112301 10 14 0.125 0.073 12.6 -0.139 c ca

(17)

Ground State

Mg ill ls2 2s2 2p« 'S„

Ionization Potential 80.12 eV = 646364 cm -1

Allowed Transitions

Calculations by Kastner, Omidvar, and Underwood [1] , employing Hartree-Fock wavefunctions and including intermediate coupling, are available. Since the calculations are based on a single-configuration approximation only, uncertainties of up to 50 percent are expected for the

strong lines and even higher uncertainties for the weak lines, the latter being more affected by

assumptions about the coupling.

Reference

[1] Kastner, S. O., Omidvar, K., and Underwood, J. H., Astrophys. J. 148, 269-273 (1967).

31
Mg III. Allowed Transitions

No. Transition

Array

Multiplet mA) Ei(cm ’) Ek( cm-1 ) g> gk 2MIO8 sec ’) U S(at.u.) log gf Accuracy

Source

1 2p6_2p

5(2 P

o

2)35

1 S — :! P°

(1 uv)

234.258 0 426877 1 3 4.5 0.011 0.0085 -1.96 E 1

2 2p6 —2p5 (-P°/2)3s , s _.p°

(2 uv)

231.730 0 431539 1 3 87 0.21 0.16 -0.68 D 1

3 2p6 —2p5

( 2P;°

/2 )3d 'S — :! P°

[188.53] 0 530430 1 3 2.5 0.0040 0.0025 -2.40 E 1

4 2p6—2p5

( 2 P;°/2 )3d 'S-'P°

(3 uv)

187.194 0 534204 1 3 100 0.16 0.099 -0.80 D 1

5 2pH —2p5

( 2 P°/2 )3<f <S — :i D°

(4 uv) 186.510 0 536157 1 3 170 0.27 0.17 -0.57 D 1

Mg IV

Ground State ls22s22p5 2 P.°/2 Ionization Potential 109.29 eV = 881759 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [Aj No. Wavelength [A] No.

o Wavelength [A] No.

321.00 1 1459.6 4 1698.9 3

323.31 1 1490.4 4 1703.4 3

1230.3 5 1508.8 4 1874.6 2

1238.7 5 1525.2 7 1893.9 2 1245.2 5 1548.1 7 1906.7 2

1246.6 5 1641.0 3 1925.7 2

1253.7 5 1658.9 3 1936.9 2 1363.4 6 1680.0 3 1946.2 2 1375.4 6 1683.0 3 1956.6 2

The value for the 2s22p5 2 P° — 2s2pe 2 S multiplet is calculated from the nuclear charge-expansion method of Cohen and Dalgarno [1]. It may be quite uncertain since configuration interaction

effects with configurations involving electrons of the n — 3 shell, which were not included in this

calculation, may be significant. Inasmuch as no other material is available, the Coulomb approximation has been used for a number of 3s — 3p and 3p — 3d transitions, where for atomic systems of

similar complexity it has given fairly reliable values.

Reference

32

[1] Cohen. M„ and Dalgarno, A.. Proc. Roy. Soc. London A280, 258-270 (1964).
Mg IV. Allowed Transitions

No. Transition

Array

Multiplet MA) ^(cm'1 ) Ek(cm~') g> gk /Mio*

sec

-1

)

fik S(at.u.) log gf Accuracy

Source

1 2s22p5 — 2s2pH 2 P°- 2 S 321.77 742 311527 6 2 260 0.14 0.86 -0.08 D 1

[321.00] 0 311527 4 2 170 0.13 0.57 -0.28 D Is [323.31] 2226 311527 2 2 87 0.14 0.29 -0.55 D Is

2 2p43s - 4 p

4 p

° 1911.5 544572 596886 12 12 3.9 0.21 16 0.40 D ca 2p4

(

:! P)3p

[1893.9] 543727 596527 6 6 2.8 0.15 5.6 -0.05 D Is [1925.7] 545144 597072 4 4 0.50 0.028 0.71 -0.95 E Is [1936.9] 545962 597590 2 2 0.61 0.035 0.44 -1.15 E Is [1874.6] 543727 597072 6 4 1.8 0.065 2.4 -0.41 D- Is [1906.7] 545144 597590 4 2 3.2 0.088 2.2 -0.45 D- Is [1946.2] 545144 596527 4 6 1.1 0.094 2.4 -0.42 D- Is [1956.6] 545962 597072 2 4 1.5 0.17 2.2 -0.47 D- Is

3

4 P — 4 D°

[1683.0] 543727 603143 6 8 5.8 0.33 11 0.30 D ca, Is [1698.9] 545144 604007 4 6 3.9 0.25 5.7 0.00 D ca, Is [1703.4] 545962 604667 2 4 2.4 0.21 2.3 -0.38 D- ca. Is [1658.9] 543727 604007 6 6 1.8 0.073 2.4 -0.36 D- ca. Is [1680.0] 545144 604667 4 4 3.1 0.13 2.9 -0.28 D- ca. Is [1641.0] 543727 604667 6 4 0.31 0.0083 0.27 -1.30 E ca. Is

4

4 P- 4 S° 1477.8 544572 612240 12 4 8.6 0.094 5.5 0.05 D ca

[1459.6] 543727 612240 6 4 4.6 0.097 2.8 -0.24 D Is [1490.4] 545144 612240 4 4 2.8 0.092 1.8 -0.43 D Is [1508.8] 545962 612240 2 4 1.4 0.093 0.92 -0.73 D Is

5 2p43p — 4 p

° 4 p

2 P4

( 3 P)3d

[1245.2] 596527 676837 6 6 5.9 0.14 3.4 -0.08 D ca. Is [1238.7] 597072 677805 4 4 1.1 0.026 0.43 -0.98 E ca. Is [1230.3] 596527 677805 6 4 4.1 0.062 1.5 -0.43 D- ca. Is [1253.7] 597072 676837 4 6 2.6 0.091 1.5 -0.44 D- ca. Is [1246.6] 597590 677805 2 4 3.4 0.16 1.3 -0.49 D- ca. Is

6

4 D° — 4F

[1375.4] 604667 677355 4 4 4.5 0.13 2.3 -0.28 D ca. Is [1363.4] 604007 677355 6 4 0.32 0.0059 0.16 -1.45 E ca. Is

7

4 S°- 4 P

[1548.1] 612240 676837 4 6 6.4 0.34 7.0 0.13 D ca. Is [1525.2] 612240 677805 4 4 6.7 0.23 4.7 -0.04 D ca. Is

Mg iv

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

33
Mg IV. Forbidden Transitions

No.

Transition

Array Multiplet mA) Ei( cm -1

) Ek ( cm ') gi gk

Type of

TransitionAki { sec" 1 ) S(at.u.)

Accuracy Source

1 2p

5 - 2p

3 2po 2po

[44911] 0 2226 4 2 m 0.198 1.33 A 1

Mg v

Ground State ls22s2 2p4 3 P2 Ionization Potential 141.23 eV= 1139421 cm-1 Allowed Transitions

The values are calculated from the change-expansion method of Cohen and Dalgarno [1] which includes limited configuration mixing. An additional value for the ! S — 'P0 transition is available from the calculations of Bolotin, Shironas, and Braiman [2], which also include limited

configuration interaction. For this latter transition, the two methods agree fairly well and the

results are averaged. In general, uncertainties should be within 50 percent.

References

[1] Cohen. M., and Dalgarno. A., Proc. Roy. Soc. London A280, 258-270 (1964).

[2] Bolotin. A. B., Shironas. I. I., and Braiman, M. Yu., Vilniaus, Valstybinio v. Kapsuko vardo universiteto Mokslo Darbai

33, matematika fizika 9, 107-112 (1960). Mg v. Allowed Transitions

No. Transition

Array

Multiplet Mk) £i(cm_l

) Ek( cm"1 ) gi gk dA,(108 sec

-1

) U S(at.u.) log gf Accuracy

Source

1 2s22p4 — 2s2ph 1 "0o 353.16 873 284027 9

}

9 120 0.22 2.3 0.30 D 1

[353.09] 0 283211 5 5 88 0.17 0.96 -0.07 D Is [353.30] 1780 284827 3 3 29 0.054 0.19 -0.79 D- Is [351.09] 0 284827 5 3 50 0.055 0.32 -0.60 D- Is [352.20] 1780 285708 3 1 120 0.075 0.26 -0.65 D- Is [355.33] 1780 283211 3 5 29 0.091 0.32 -0.56 D- Is [354.22] 2519 284827 1 3 40 0.22 0.26 -0.66 D- Is

2

1 D — 1 P° [276.58] [36348] [397906] 5 3 200 0.14 0.64 -0.15 D 1

3 'S-'P° [312.31] [77712] [397906] 1 3 27 0.12 0.12 -0.92 D 1, 2

Mgv

Forbidden Transitions

As in the case of Na IV the adopted values are taken from Naqvi [1], and Malville and Berger [2]. For a discussion on the selection of values see Na IV, since the same considerations have been

applied.

34
References

[1) Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M., and Berger, R. A., Planetary and Space Science 13, 1131 (1965).

MgV. Forbidden Transitions

No. Transition

Array Multiplet a(A) Ei ( cm ') £fr(cm _1

) gi gk

Type of

Transition Aki ( sec *) S(at.u.)

Accuracy Source

1 2p4 -2p4

3 p 3 p

[ 56164 ] 0 1780 5 3 e 1.16 x 10-7 0.116 c- 1 , 2

[ 56164 ] 0 1780 5 3 m 0.127 2.50 A 1

[ 39687] 0 2519 5 1 e 8.8 x lO "7 0.052 c- 2

[ 13.53 X 104] 1780 2519 3 1 m 0.0218 2.00 A 1

2

-6 1 6

[ 2750. 4 ] 0 [ 36348 ] 5 5 e 0.0017 7.9 X lO-4 D- 1 , 2 2750. 4] 0 [ 36348] 5 5 m 1.90 0.0073 C 1 2892 . 0] 1780 [ 36348] 3 5 e 1.9 X 10-4 1.1 X lO"4 D- 1 , 2 2892 . 0 ] 1780 [ 36348 ] 3 5 m 0.55 0.00245 C 1

[ 2955 . 2 ] 2519 [ 36348 ] 1 5 e 6.7 X 10-5 4.5 x 10“5 D- 2

3 3p_. S

[ 1286 . 8 ] 0 [ 77712 ] 5 1 e 0.027 5.7 x 10-5 D- 2

[ 1317 . 0 ] 1780 [ 77712 ] 3 1 m 23 0.00195 C 2

4 'D-'S

[ 2416. 8 ] [ 36348] [ 77712 ] 5 1 e 4.2 0.206 C- 2

Mg VI

Ground State ls22s22p3 4 SI/2

Ionization Potential 186.49 eV= 1504581 cnr1

Allowed Transitions

Values for all the listed transitions are calculated from the nuclear charge-expansion method

of Cohen and Dalgarno [1], which includes limited configuration mixing. Judged from graphical

comparisons with other ions in the isoelectronic sequence and from the general success of Cohen

and Dalgarno’s method for similar atomic systems, uncertainties within 50 percent are indicated.

Reference

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258—270 (1964).

35
Mg VI. Allowed Transitions

No. Transition

Array

Multiplet mA) £,(cm J ) £*(cm-1

) gi gk /Mio8 sec ') fk S(at.u.) log gf Accuracy

Source

1 2s22p;i — 2s2p4 4 S°

4 P 401.76 0 248906 4 12 36 0.26 1.4 0.02 D 1

[403.32] 0 247945 4 6 36 0.13 0.70 -0.28 D Is [400.68] 0 249578 4 4 37 0.089 0.47 -0.45 D Is [399.29] 0 250445 4 2 37 0.044 0.23 -0.75 D Is

2

2 D°— 2D 349.15 [54158] [340564] 10 10 86 0.16 1.8 0.20 D 1

[349.16] [54150] [340551] 6 6 79 0.14 1.0 -0.08 D Is [349.15] [54171] [340584] 4 4 77 0.14 0.65 -0.25 D Is [349.12] [54150] [340584] 6 4 8.6 0.010 0.072 -1.22 E Is [349.19] [54171] [340551] 4 6 5.7 0.016 0.072 -1.19 E Is

3 2J)°_ 2p 269.92 [54158] [424633] 10 6 310 0.20 1.8 0.30 D 1

[270.39] [54150] [423981] 6 4 280 0.21 1.1 0.10 D Is [268.99] [54171] [425938] 4 2 310 0.17 0.60 -0.17 D Is [270.41] [54171] [423981] 4 4 31 0.034 0.12 -0.87 E Is

4

2p° 2jy 387.94 [82791

]

[340564] 6 10 13 0.050 0.38 -0.52 D 1

[388.02] [82832] [340551] 4 6 13 0.045 0.23 -0.74 D Is [387.79] [82710] [340584] 2 4 11 0.051 0.13 -0.99 D Is [387.97] [82832] [340584] 4 4 2.2 0.0049 0.025 -1.71 E Is

5 2p°_ 2g 314.64 [82791] [400619] 6 2 180 0.090 0.56 -0.27 D 1

[314.68] [82832] [400619] 4 2 120 0.089 0.37 -0.45 D Is [314.56] [82710] [400619] 2 2 62 0.092 0.19 -0.74 D Is

6 2p°_ 2p 292.53 [82791] [424633] 6 6 90 0.12 0.67 -0.14 D 1

[293.13] [82832] [423981] 4 4 74 0.096 0.37 -0.42 D Is [291.35] [82710] [425938] 2 2 61 0.078 0.15 -0.81 D Is [291.46] [82832] [425938] 4 2 30 0.019 0.074 -1.12 E Is [293.02] [82710] [423981] 2 4 15 0.038 0.074 -1.12 E Is

Mg vi

Forbidden Transitions

For this ion all the values have been taken from Garstang [1], who has improved Pasternack’s

earlier calculations (Pasternack, S., Astrophys. J. 92, 129 (1940)).

Reference

(1] Garstang. R. H., I.A.U. Symposium #34 on Planetary Nebulae held at Tatranska Lomnica. Czechoslovakia, Sept. (1967).

36
Mg VI. Forbidden Transitions

No.

Transition

Array Multiplet x(A) Fdcm -1

) G(cnr') gi gk

Type of

Transition Aki ( sec

-1

) S(at.u.)

Accuracy Source

1 2p:i — 2p3 4 S°- 2 D°

[ 1846 . 7 ] 0 [ 54150] 4 6 m 0.0032 4.48 X 10-8 C 1

[ 1846 . 7 ] 0 [ 54150] 4 6 e 0.0022 1.69 X 10-4 D 1

[ 1846. 0 ] 0 [ 54171 ] 4 4 m 0.12 1.12 x 10-4 C 1 [ 1846 . 0 ] 0 [ 54171 ] 4 4 e 0.0014 7. 147 x 10"5 D 1

2 4g° ‘2po

[ 1207 . 3 ] 0 [ 82832 ] 4 4 m 13 0.00339 C 1

[ 1207 . 3 ] 0 [ 82832] 4 4 e 2.7 X 10-« 1.6 X 10-8 D 1 [ 1209 . 0 ] 0 [ 82710 ] 4 2 m 5.3 6.9 X 10-4 C 1

[ 1209 . 0 ] 0 [ 82710] 4 2 e 8.5 X 10-5 2.6 x 10~ 7 D 1

3

o QO 1 M Q

[ 47.6 X 10 ']

[ 54150 ] [ 54171 ] 6 4 m 1.50 x 10-7 2.40 B- 1

[ 47.6 X 10 '] [ 54150 ] [ 54171 ] 6 4 e 2.0 x 10-20 1.2 x 10-4 D 1

4 2J)° 2po

(IF) 3485.5 [ 54150 ] [ 82832 ] 6 4 m 2.1 0.0132 C 1 3485.5 [ 54150] [ 82832 ] 6 4 e 0.26 0.319 C 1 3503.0 [ 54171 ] [ 82710] 4 2 m 2.3 0.0073 c 1 3503.0 [ 54171 ] [827101 4 2 e 0.23 0.144 c 1 3500.4 [ 54150] [ 82710] 6 2 e 0.15 0.094 c 1 3488.1 [ 54171 ] [ 82832 ] 4 4 m 3.7 0.0233 c 1 3488.

1

[ 54171 ] [ 82832 ] 4 4 e 0.11 0.135 c 1

5 130 1 JO 13O

[ 81.94 X 104 ] [ 82710] [ 82832 ] 2 4 m 1.63 x 10~5 1.33 B 1

[ 81.94 X 104

] [ 82710 ] [ 82832 ] 2 4 e 8.7 x 10 _1(i 7.7 x 10-4 D 1

Mg vii

Ground State ls2 2s2 2p2 :{ P0

Ionization Potential 224.90 eV= 1814430 cm -1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

276.15 3 431.32 1 1371.1 9

277.01 3 434.62 1 1378.7 9

278.40 3 434.71 1 1392.1 9

280.74 5 434.92 1 1396.3 9

319.02 4 1290.9 7 1410.0 9

320.50 6 1293.4 7 1470.4 8

363.74 2 1306.3 7 1487.0 8

365.24 2 1327.0 7 1487.9 8

367.67 2 1334.3 7 1496.6 8

429.13 1 1350.8 7 1507.5 8

431.22 1 1356.4 9 1517.4 8

37
Most data are obtained from the charge-expansion method of Cohen and Dalgarno [1] which

includes limited configuration mixing. Graphical comparisons of this material within the isoelectronic sequence depicting the dependence of /-values on nuclear charge have been made, and the

available experimental data for the lower ions, mostly from lifetime measurements, establish

fairly definitely that the uncertainties should not exceed 50 percent. Analogous graphs for the data

obtained from the Coulomb approximation indicate that these values are accurate within 25 percent.

Reference

[1) Cohen. M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 ( 1964). Mgvii. Allowed Transitions

No. Transition

Array

Multiplet x(A) filcm'1

) £Y-(cm -1

) gi gk /Mio8 sec

-1

)

fik S(at.u.) log gf Accuracy

Source

1 2s22p2 — 2s2p:i ;i P — ;i D° 433.04 2008 232934 9 15 22 0.10 1.3 -0.05 D + 1

[434.92] 2939 232865 5 7 21 0.085 0.61 -0.37 D + Is [431.32] 1127 232975 3 5 16 0.075 0.32 -0.65 D + Is [429.13] 0 233027 1 3 12 0.099 0.14 -1.00 D Is [434.71] 2939 232975 5 5 5.4 0.015

1 0.11 -1.12 D Is [431.22] 1127 233027 3 3 9.3 0.026 0.11 -1.11 D Is [434.62] 2939 233027 5 3 0.59 0.0010 0.0072 -2.30 E Is

2 :ip_ 3p° 366.42 2008 . 274922 9 9 55 0.11 1.2 -0.00 D 1

[367.67] 2939 274922 5 5 41 0.083 0.50 -0.38 D Is [365.24] 1127 274922 3 3 14 0.028 0.10 -1.08 E Is [367.67] 2939 274922 5 3 23 0.028 0.17 -0.85 D- Is [365.24] 1127 274922 3 1 54 0.036 0.13 -0.97 D- Is [365.24] 1127 274922 3 5 14 0.047 0.17 -0.85 D- Is [363.74] 0 274922 1 3 18 0.11 0.13 -0.96 D- Is

3

:! P — ;i S° 277.69 2008 362128 9 3 310 0.12 0.99 0.03 D + 1

[278.40] 2939 362128 5 3 170 0.12 0.55 -0.22 D + Is [277.01] 1127 362128 3 3 100 0.12 0.33 -0.44 D + Is [276.15] 0 362128 1 3 35 0.12 0.11 -0.92 D + Is

4 'D-’D0 [319.02] [41459] [354923] 5 5 160 0.25 1.3 0.10 D 1 5 •D-'P° [280.74] [41459] [397655] 5 3 200 0.14 0.65 -0.15 D 1 6 'S-'P0 [320.50] [85647] [397655] 1 3 53 0.25 0.26 -0.60 D- 1 7 2p3s — ,ip°_3p 1322.6 1049701 1125312 9 9 6.6 0.174 6.8 0.195 C ca

2p( 2 P°)3p

[1334.3] 1050906 1125850 5 5 4.83 0.129 2.83 -0.190 C Is [1306.3] 1048385 1124937 3 3 1.73 0.0442 0.57 -0.88 C Is [1350.8] 1050906 1124937 5 3 2.58 0.0423 0.94 -0.67 c Is [1327.0] 1048385 1123745 3 1 6.6 0.058 0.76 -0.76 c Is [1290.9] 1048385 1125850 3 5 1.77 0.074 0.94 -0.65 c Is [1293.4] 1047624 1124937 1 3 2.37 0.178 0.76 -0.75 c Is 8 2p3p — :! P — ;! D

° 1488.2 1125312 1192507 9 15 3.44 0.191 8.4 0.235 c ca 2p( 2 P°)3d

[1487.9] 1125850 1 193061 5 7 3.44 0.160 3.92 -0.097 c Is [1487.0] 1124937 1192185 3 5 2.59 0.143 2.10 -0.368 c Is [1470.4] 1123745 1191753 1 3 1.98 0.192 0.93 -0.72 c Is [1507.5] 1125850 1192185 5 5 0.83 0.0282 0.70 -0.85 c Is [1496.6] 1124937 1191753 3 3 1.41 0.0474 0.70 -0.85 c Is [1517.4] 1125850 1191753 5 3 0.090 0.0019 0.047 -2.03 E Is 9

-c 1 co 1392.5 1125312 1197125 9 9 2.39 0.070 2.87 -0.201 c ca

[1410.0] 1125850 1196770 5 5 1.73 0.052 1.20 -0.59 c Is [1378.7] 1124937 1197469 3 3 0.62 0.0176 0.239 -1.277 c Is [1396.3] 1125850 1197469 5 3 0.99 0.0174 0.399 -1.060 c Is [1371.1] 1124937 1197872 3 1 2.51 0.0236 0.319 — 1.150 c Is [1392.1] 1 124937 1196770 3 5 0.60 0.0290 0.399 -1.060 c Is [1356.4] 1123745 1197469 1 3 0.86 0.071 0.319 -1.149 c Is

38
Mg YII

Forbidden Transitions

The adopted values represent, as in the case of Navi, the work of Naqvi [1], Malville and

Berger [2], and Froese [3]. For the selection of values, the same considerations as for Navi are applied, the one exception being that Froese’s magnetic dipole values are also used. Since the

observed energy levels are uncertain, it is felt that the “spin-orbit” and “spin-spin and spin-otherorbit” integrals £ and r] calculated from her theoretical energy levels will be as accurate as the

experimental ones.

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M. and Berger, R. A., Planetary and Space Science 13, 1131 (1965).

[3] Froese, C., Astrophys. J. 145, 932 (1966). Mg VII. Forbidden Transitions

No.

Transition

Array Multiplet mA) t*3 o' 3

1 Ek ( cm- 1 ) gi gk

Type of

Transition Aki( sec ') S(at.u.)

Accuracy Source

1 2p2 — 2p2 :i P — :i P

[88707] 0 1127 1 3 m 0.0258 2.00 A 1,3

[34016] 0 2939 1 5 e 2.67 X 10" 7 0.0362 C 3

[55173] 1127 2939 3 5 m 0.0803 2.50 A 1,3

[55173] 1127 2939 3 5 e 5.3 x 10~* 0.081 C 3

2

:i P — 'D

[2413.0] 0 [41429] 1 5 e 1.3 x 10^4 3.1 X 10“5 D 3

[2480.5] 1127 [41429] 3 5 m 1.30 0.00368 C 1, 2, 3

[2480.5] 1127 [41429] 3 5 ' e 4.1 x 10-4 1.2 X 10-4 D 3

[2597.3] 2939 [41429] 5 5 m 3.39 0.0110 C 1, 2, 3

[2597.3] 2939 [41429] 5 5 e 0.0023 8.1 x 10-4 D 3

3

:i P — 'S [1183.2] 1127 [85647] 3 1 m 37.2 0.00228 C 2, 3

[1209.1] 2939 [85647] 5 1 e 0.042 6.5 x 10-’ D 3

4 'D-'S

[2260.8] [41429] [85647] 5 1 e 4.18 0.147 C 3

39
Ground State

Mg viii

ls22s2 2p 2 P?/2

Ionization Potential 265.957 eV = 2145679 cm-'

Allowed Transitions

List of tabulated lines:

Wavelength [A) No. Wavelength [A] No. Wavelength [Aj No.

74.858 11 342.23 6 436.68 1 75.034 11 342.25 6 436.73 1 75.044 11 342.42 6 442.08 7 82.598 10 352.38 4 442.37 7 82.824 10 353.84 4 486.05 9

311.78 3 356.60 4 486.40 9

313.73 3 428.34 5 490.81 9

315.02 3 428.37 5 491.17 9

317.01 3 428.60 5 680.31 8

335.25 2 428.64 5 689.67 8

339.01 2 430.47 1 690.34 8

Values for the majority of the transitions are calculated from the nuclear charge-expansion

method of Cohen and Dalgarno [1], which includes limited configuration mixing. Graphical comparisons with other data for the lower ions of this isoelectronic sequence indicate that the uncertainties should be within 50 percent.

For the 2p 2 P° —3s 2 S and 2p 2 P-3d 2 D multiples we have obtained data by exploiting the

dependence of /-values on nuclear charge: In these cases accurate data for several other ions of

the boron sequence are available from extended self-consistent field calculations by Weiss [2] in

which configuration mixing is fully included. Utilizing those values, which are also supported by

some experimental results on lower ions, we have obtained the /-values of the two transitions simply

by graphical interpolation.

References

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

[2] Weiss, A. W., private communication (1967).
Mg VIII. Allowed Transitions

No. Transition

Array

Multiplet \(A) £i(cm'‘) £t(cm_1

) gt A- /Mio»

sec

-1

) U S(at.u.) log gf Accuracy

Source

1 2s22p — 2s2p2 2po_2£) 434.62 2203 232290 6 10 19 0.087 0.75 -0.28 D 1

[436.73] 3304 232281 4 6 18 0.078 0.45 -0.51 D Is [430.47] 0 232304 2 4 16 0.088 0.25 -0.75 D Is [436.68] 3304 232304 4 4 3.0 0.0087 0.050 -1.46 E Is

2 2f>°__2g 337.75 2203 298283 6 2 79 0.045 0.30 -0.57 D + 1

[339.01] 3304 298283 4 2 52 0.045 0.20 -0.74 D + Is [335.25] 0 298283 2 2 27 0.045 0.10 -1.05 D + Is

3

2P°_ 2p 314.59 2203 320077 6 6 140 0.21 1.3 0.10 D + 1

[315.02] 3304 320742 4 4 120 0.17 0.72 -0.17 D + Is [313.73] 0 318747 2 2 95 0.14 0.29 -0.55 D + Is [317.01] 3304 318747 4 2 45 0.034 0.14 -0.87 D- Is [311.78] 0 320742 2 4 23 0.068 0.14 -0.87 D- Is

4 2s2p2 — 2p2 4p_4S

° 354.67 [132428] [414380] 12 4 140 0.086 1.2 0.01 D + 1

[356.60] [133481] [414380] 6 4 67 0.085 0.60 -0.29 D + Is [353.84] [131763] [414380] 4 4 46 0.086 0.40 -0.46 D + Is [352.38] [130598] [414380] 2 4 23 0.086 0.20 -0.76 D + Is

5

o Q 1 Q

(M 428.52 232290 465654 10 10 39 0.11 1.5 0.04 D + 1

[428.60] 232281 465598 6 6 36 0.099 0.84 -0.23 D + Is [428.37] 232304 465738 4 4 35 0.096 0.54 -0.42 D + Is [428.34] 232281 465738 6 4 3.9 0.0071 0.060 -1.37 E Is [428.64] 232304 465598 4 6 2.6 0.011 0.060 -1.36 E Is

6

2 D_ 2 p° 342.29 232290 524437 10 6 63 0.067 0.75 -0.17 ’ D 1

[342.23] 232281 524486 6 4 57 0.067 0.45 -0.40 D Is [342.42] 232304 524339 4 2 63 0.055 0.25 -0.66 D Is [342.25] 232304 524486 4 4 6.3 0.011 0.050 -1.36 E Is

7 2§ _ 2po 442.18 298283 524437 2 6 12 0.10 0.30 -0.70 D 1

[442.08] 298283 524486 2 4 12 0.069 0.20 -0.86 D Is [442.37] 298283 524339 2 2 12 0.034 0.10 -1.17 D Is

8

2 p _ 2J)o 686.92 320077 465654 6 10 9.4 0.11 1.5 -0.18 D 1

[690.34] 320742 465598 4 6 9.2 0.099 0.90 -0.40 D Is [680.31] 318747 465738 2 4 8.0 0.11 0.50 -0.66 D Is [689.67] 320742 465738 4 4 1.5 0.011 0.10 -1.36 E Is

9

2 p _ 2p° 489.33 320077 524437 6 6 39 0.14 1.4 -0.08 D 1

[490.81] 320742 524486 4 4 32 0.12 0.75 -0.32 D Is [486.40] 318747 524339 2 2 26 0.094 0.30 -0.73 D Is [491.17] 320742 524339 4 2 13 0.023 0.15 -1.04 D- Is [486.05] 318747 524486 2 4 6.6 0.047 0.15 - 1.03 D- Is

10 2p — CS)35 2p°_ 2g 82.748 2203 1210689 6 2 700 0.024 0.039 -0.84 C interp

[82.824] 3304 1210689 4 2 460 0.024 0.026 -1.02 C Is [82.598] 0 1210689 2 2 240 0.024 0.013 -1.32 C Is

11 2p-('S)3d 2 p°_ 2 p 74.976 2203 1335965 6 10 4300 0.61 0.90 0.56 C interp

[75.034] 3304 1336033 4 6 4300 0.55 0.54 0.34 C Is [74.858] 0 1335863 2 4 3600 0.61 0.30 0.09 C Is [75.044] 3304 1335863 4 4 720 0.061 0.060 -0.61 E Is

41
Mg viii

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate,

since the energy level difference is accurately known.

Reference

[1]

Naqvi, A. M., Thesis Harvard (1951).

Mg VIII. Forbidden Transitions

No.

Transition

Array Multiplet MA) Ei( cm -1

) Ek(cm- 1 ) gi gk

Type of

TransitionAki { sec" 1 ) S(at.u.)

Accuracy Source

1 2p-(, S)2p 2p° 2po

[30258] 0 3304 2 4 m 0.324 1.33 A 1

Mg ix

Ground State ls2 2s2 ’So Ionization Potential 327.90 eV= 2645444 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

62.751 6 443.99 3 1883.4 10

77.737 7 445.94 3 2201.1 15

368.07 2 448.28 3 2428.2 12 439.06 5 704.48 1 2598.7 14

439.17 3 751.56 4 2814.2 8

441.10 3 1073.3 13 18707 9

443.37 3 1639.8 11

Garstang and Shamey [1] have obtained the /-value for the intercombination line 2'So — 2

;i Pi

by calculating the ratio of this line against the resonance transition in the intermediate coupling

approximation and by using for the resonance line a value calculated according to Cohen and

Dalgarno’s method [2]. The data calculated from the charge-expansion method of Cohen and

Dalgarno [2], which includes limited configuration mixing, are estimated to be usually accurate to 50 percent or better, while the charge-expansion method of Naqvi and Victor [3] should be less

reliable when the effects of configuration interaction are strong, since these are neglected entirely.

In assigning the accuracy estimates for these methods as well as for the Coulomb approximation

we were to a great extent guided by studying the degree of fit of the data into the systematic trends

along isoelectronic sequences.

References

42

[1] Garstang. R. H., and Shamey, L. J., Astrophys. J. 148, 665-666 (1967).

[2] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

[3] Naqvi, A. M., and Victor, G. A., Technical Documentary Report No. RTD TDR — 63-3118 (1964).
Mg IX. Allowed Transitions

No. Transition

Array

Multiplet X( A) £i(cm_1

) gi gk /R,(10* sec

-1

)

ftk 5(at.u.) log gf Accuracy

Source

1 2s2 - 'S — :i P°

2s( 2S)2p [704.48] 0 [141948] 1 3 0.0013 2.9 x 10-3 6.8 X 10-3 -4.54 D In

2 cn 1 *0O [368.07] 0 271687 1 3 51 0.314 0.380 -0.50 C 2

3 2s2p — 2p2 :!p° :?p 443.74 [ 143192 ] [368547] 9 9 41 0.12 1.6 0.03 D + 2

[443.99] [144420] [369650] 5 5 31 0.092 0.67 -0.34 D + Is [443.37] [141948] [367493] 3 3 10 0.030 0.13 -1.05 D- Is [448.28] [144420] [367493] 5 3 16 0.030 0.22 -0.82 D- Is [445.94] [141948] [366194] 3 1 41 0.041 0.18 -0.91 D- Is [439.17] [141948] [369650] 3 5 11 0.051 0.22 -0.82 D- is [441.10] [140786] [367493] 1 3 14 0.12 0.18 -0.92 D- is

4 'P°->D [751.56] 271687 404744 3 5 8.9 0.13 0.93 -0.41 D- 2

5 ip°_i S [439.06] 271687 499444 3 1 84 0.081 0.35 -0.61 E 2

6 2s2 - 'S-'P° [62.751] 0 1593600 1 3 3300 0.58 0.12 -0.24 E 3

2s( 2 S)3p

7 2s2p — ip°_ lS [77.737] 271687 1558076 3 1 240 0.0072 0.0055 -1.67 E 3

2s( 2 S)3s

8 2s3s — ’S-'P° [2814.2] 1558076 1593600 1 3 0.54 0.191 1.77 -0.72 C 3

2s( 2 S)3p

9 2p3s — lp°_ ip [18707] 1742772 1748116 3 3 0.00177 0.0093 1.72 -1.55 C ca

2p ( 2 P°)3p

10 'P°— 'D [1883.4] 1742772 1795868 3 5 1.88 0.167 3.10 -0.300 C ca

11 2s3p — •v o 1 6 [1639.8] 1593600 1654583 3 5 2.34 0.157 2.55 -0.327 C ca

2s( 2 S)3d

12 2p3p — 'P-'D° [2428.2] 1748116 1789287 3 5 0.498 0.073 1.76 -0.66 C ca 2p( 2 P°)3d

13 ip_ ip° [1073.3] 1748116 1841286 3 3 3.66 0.063 0.67 -0.72 C ca

14 'D-'F° [2598.7] 1795868 1834337 5 7 0.61 0.086 3.67 -0.367 C ca

15 >D-'P° [2201.1] 1795868 1841286 5 3 0.0289 0.00126 0.0456 -1.201 C ca

Mg ix

Forbidden Transitions

Naqvi’s calculations [1] are the only available source. The results for the ;i P° — :! P° transitions are essentially independent of the choice of the interaction parameters. For the :! P° — ’P° transitions, Naqvi uses empirical term intervals, i.e., the effects of configuration interaction should

be partially included.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

308-022 0- 69—6

43
Mg IX. Forbidden Transitions

Transition Type of

S(at.u.)

AccuSource

No. Array Multiplet MA) Ei{cm -1

) Ek ( cm- 1 ) gi gk Transition

Aki (sec 0 racy

1 2s2p —

2s(2 S)2p

*0o 1 -6o [86035] [140786] [141948] 1 3 m 0.0282 2.00 A 1

1

2

*0o 1 *0o

[40442] [141948] [144420] 3 5 m 0.204 2.50 A

[763.94] [140786] 271687 1 3 m 7.1 3.52 X 10-4 C 1 [770.78] [141948] 271687 3 3 m 391 0.0199 c 1 [785.75] [144420] 271687 5 3 m 8.2 4.40 x 10-4 c 1

Mg x

Ground State ls2 2s 2 S1/2

Ionization Potential 367.36 eV = 2963810 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

44.050 3 63.314 5 609.85 1 47.231 6 65.672 4 625.28 1 47.310 6 65.847 4 2212.5 7 47.321 6 170.21 8 2278.7 7 57.876 2 181.60 10 5918.7 9

57.920 2 181.86 10 6229.6 9

63.152 5 182.03 10 6417.5 9

63.295 5

For the transition 2s — 2p, the charge-expansion calculation of Cohen and Dalgarno [1] is chosen.

An uncertainty of less than 10 percent is indicated from the graphical comparison of this value

with the other material for the same transition within the isoelectronic sequence. Data for the other

listed transitions have been obtained from the Coulomb approximation. Plots of the dependence of

/-value on nuclear charge for all these transitions have been made and show that this material

connects up very smoothly with the data for the lower ions as well as with the hydrogenic value

for infinite nuclear charge. Based on this impressive agreement, accuracies of 10 percent (or 25

percent for some of the smaller values) are indicated.

Reference

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

44
Mg x. Allowed Transitions

No. Transition

Array

Multiplet A(A) £V(cm->) gi gk /*w(10“ sec

-1

)

fix S(at.u.) log gf Accuracy

Source

1 2s — 2p 2g _ 2po 614.90 0 162627 2 6 7.38 0.125 0.508 -0.602 B 1

[609.85] 0 163976 2 4 7.57 0.0844 0.339 -0.773 B Is [625.28] 0 159929 2 2 7.00 0.0410 0.169 -1.086 B Is

2 2s — 3p 2g _ 2p° 57.891 0 1727394 2 6 2120 0.320 0.122 -0.194 B ca

[57.876] 0 1727832 2 4 2120 0.213 0.0813 -0.371 B Is [57.920] 0 1726519 2 2 2120 0.107 0.0407 -0.670 B Is

3 25 — 4/? 2g _ 2po [44.050] 0 2270148 2 6 970 0.085 0.0246 -0.77 C + ca

4- 2p — 3s 2p° 2g 65.789 162627 1682648 6 2 1030 0.0223 0.0290 -0.874 B ca

[65.847] 163976 1682648 4 2 685 0.0223 0.0193 -1.050 B Is [65.672] 159929 1682648 2 2 346 0.0224 0.00967 -1.349 B Is

5 2p — 3d 2 P°_ 2J) 6.3.249 162627 1743692 6 10 6710 0.671 0.838 0.605 B ca

[63.295] 163976 1743880 4 6 6700 0.603 0.503 0.382 B Is [63.152] 159929 1743410 2 4 5610 0.671 0.279 0.128 B Is [63.314] 163976 1743410 4 4 , 1 120 0.0670 0.0559 -0.572 B Is

6 2p — 4d 2p° 2£) 47.284 162627 2277489 6 10 2200 0.123 0.115 -0.132 C + ca

[47.310] 163976 2277694 4 6 2200 0.111 0.069 -0.353 c + Is [47.231] 159929 2277182 2 4 1840 0.123 0.0383 -0.61 c + Is [47.321] 163976 2277182 4 4 368 0.0124 0.0077 -1.305 c + Is

7 3s — 3p 2g _ 2 po 2234.1 1682648 1727394 2 6 0.942 0.211 3.11 -0.375 B ca

[2212.5] 1682648 1727832' 2 4 0.968 0.142 2.07 -0.547 B Is [2278.7] 1682648 1726519 2 2 0.890 0.0693 1.04 -0.858 B Is

8 3s — 4p

2g _2po [170.21] 1682648 2270148 2 6 268 0.350 0.392 -0.155 C + ca

9 3p — 3d 2p° 2J) 6134.0 1727394 1743692 6 10 0.0358 0.0337 4.08 -0.694 B ca

[6229.6] 1727832 1743880 4 6 0.0342 0.0299 2.45 -0.922 B Is [5918.7] 1726519 1743410 2 4 0.0332 0.0349 1.36 -1.156 B Is [6417.5] 1727832 1743410 4 4 0.00521 0.00322 0.272 -1.890 B Is

10 3p — 4d 2 p°_ 2J) 181.79 1727394 2277489 6 10 690 0.57 2.06 0.53 C + ca

[181.86] 1727832 2277694 4 6 690 0.52 1.24 0.318 C + Is [181.60] 1726519 2277182 2 4 580 0.58 0.69 0.064 c + Is [182.03] 1727832 2277182 4 4 115 0.057 0.137 -0.64 c + Is

45
Mg xi

Ground State Is2 ’So

Ionization Potential 1761.23 eV= 14209200 cm-1

Allowed Transitions

The values for this ion are calculated from the charge-expansion method of Dalgarno and

Parkinson [1]. From comparisons with the more refined variational calculations by Weiss [2] for

lower members of this isoelectronic sequence, uncertainties are estimated not to exceed 10 percent.

It should be pointed out that essentially identical results are obtained by extrapolating the data

of Weiss towards the high members of the isoelectronic sequence [See fig. I of [2]).

References

[1] Dalgarno, A., and Parkinson, E. M., Proc. Roy. Soc. London A301, 253-260 (1967).

[2] Weiss, A. W., J. Research Nat. Bur. Standards 71A 163-168 (1967).

Mg XI. Allowed Transitions

No. Transition

Array

Multiplet MA) Fdcm-1

) Ek ( cm-1

) gi gk Aki(lW

seer 1

)

fik S(at.u.) log gf Accuracy

Source

1 Is2 — ls2p i S _ip° [9.1682] 0 10907300 1 3 1.97 x 105 0.745 0.0225 -0.128 B 1

2 Is2 — ls3p 'S-'P° [7.8503] 0 12738400 1 3 5.50 X 104 0.152 0.00394 -0.818 B 1

3 Is2 — ls4p c/i 1 *6o [7.4732] 0 13381100 1 3 2.27 X 104 0.0569 0.00140 -1.245 B 1

4 Is2 — ls5p . s _lp° [7.3096] 0 13680600 1 3 1.15 X 104 0.0277 6.66 X 10-4 -1.558 B 1

46
ALUMINUM

All

Ground State ls2 2s2 2/A3s2 3/; 2 P?/2

Ionization Potential 5.984 eV = 48279.16 cm-'

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

2118.3 14 2367.05 5 8772.87 16

2123.36 14 2372.07 6 8773.9 16

2123.4 14 2373.12 5 8773.90 16

2129.66 13 2373.35 5 8828.91 25

2134.7 13 2378.40 6 8841.28 25

2134.73 13 2567.98 3 8912.90 24

2145.56 12 2575.10 3 8923.56 24

2150.7 12 2575.40 3 8925.50 24

2150.70 12 2652.48 4 10768.4 22

2168.83 11 2660.39 4 10782.0 22

2174.07 11 3082.15 1 10786.8 22

2174.11 11 3092.71 1 10873.0 23

2199.18 10 3092.84 1 10891.7 23

2204.62 10 3944.01 2 11253.2 15

2204.67 9 3961.52 2 11254.9 15

2210.06 9 5557.06 20 11255 15

2210.13 9 5557.95 20 13123.4 18

2258.01 8 6696.02 19 13150.8 18

2263.46 7 6698.67 19 16719.0 21

2263.74 8 7835.31 17 16750.6 21

2269.10 7 7836.1 17 16763.4 21 2269.22 7 7836.13 17

The adopted values for this atom are taken from two theoretical and three experimental papers.

The theoretical sources are the self-consistent field calculations by Biermann and Liibeck [5] which

include polarization and exchange effects, and the calculations of Weiss [2], in which various

possible configurations are superimposed and Hartree-Fock wavefunctions are employed. Weiss

has carried out his calculations in both the dipole length and dipole velocity approximations and

agreement between the two is usually good; in all the cases where his results are applied, the

length values are chosen as suggested by the author as being probably more reliable [2]. The experiments consist of anomalous dispersion measurements by Penkin and Shabanova

[4] for the 3p-ns and 3p-nd series and lifetime determinations of the 3d state by Budick [1] by means

of the Hanle effect and of the 4s state by Demtroder [3] by means of the phase shift method, all expected to provide accurate values. (This is Demtroder s only lifetime measurement for A1 1. His

other results [3] are from less accurate absorption measurements.) Penkin and Shabanova’s rela- tive values have been normalized in two ways which lead to identical scales: (1) normalization to the average of Weiss’ and Demtroder’s value for the 3p-4s transition, (2) normalization to Budick’s

value for the 3p-3d transition. (Weiss’ value for this transition is not nearly as reliable as for 3p-4s.)

Finally, it should be noted that the spectroscopic designations of the d states are questionable:

the principal quantum number of these states probably should be reduced by one in each case.

References

[1] Budick, B., Bull. Am. Phys. Soc. 11, 456 (1966).

[2] Weiss, A. W., to be published (1969).

[3] Demtroder, W., Z. Physik 166, 42-55 (1962).

[4] Penkin, N. P., and Shabanova, L. N., Optics and Spectroscopy (U.S.S.R.) 18, 504 (1965).

[5] Biermann, L., and Liibeck, K., Z. Astrophys. 25 , 325—339 (1948).
A1 1 . Allowed Transitions

No. Transition Multiplet MA) £i(cm_1

) ^•(cm-1

) Si gk /M10* fik S(at.u.) log gf Accu- Source

Array sec

-1

) racy

1 3s23p — 2p° 2£) 3089.2 75 32436 6 10 0.73 0.175 10.7 0.021 c + 1 3s2{'S)3d (3) 3092.71 112 32437 4 6 0.73 0.158 6.4 -0.199 c + Is 3082.15 0 32435 2 4 0.61 0.175 3.55 -0.456 c + Is 3092.84 112 32435 4 4 0.12 0.018 0.71 -1.16 D Is

2 3s23p — 2p°_ 2g 3955.7 7.5 25348 6 2 1.47 0.115 9.0 -0.161 c + 2, 3

3s2('S)4s (1) 3961.52 112 25348 4 2 0.98 0.115 6.0 -0.337 c + Is 3944.01 0 25348 2 2 0.493 0.115 2.99 -0.64 c + Is

3 3s23p — 2p°_2J) 2572.8 75 38932 6 10 0.264 0.0437 2.22 -0.58 c 4n 3svsnd (2 uv)

2575.10 112 38934 4 6 0.264 0.0393 1.33 -0.80 c Is 2567.98 0 38929 2 4 0.221 0.0437 0.74 -1.058 c Is 2575.40 112 38929 4 4 0.044 0.0044 0.15 -1.76 D Is

4 3s23p — 2p°_ 2g 2657.8 75 37689 6 2 0.397 0.0140 0.73 -1.076 C 4n

3s2(’S)5s (1 UV)

2660.39 112 37689 4 2 0.264 0.0140 0.490 -1.252 C Is 2652.48 0 37689 2 2 0.133 0.0140 0.245 -1.55 C Is

5 3s23p — 2p°_2J) 2371.1 75 42236 6 10 0.85 0.120 5.6 -0.143 c 4n

3s2('S)5(f (4 uv)

2373.12 112 42238 4 6 0.85 0.108 3.38 -0.365 c Is 2367.05 0 42234 2 4 0.71 0.120 1.87 -0.62 c Is 2373.35 112 42234 4 4 0.14 0.012 0.38 -1.32 D Is

6 3s23p — 2 p°_2g 2376.3 75 42144 6 2 0.143 0.00403 0.189 -1.62 C 4n

3s2

(

1 S)6s (3 uv)

2378.40 112 42144 4 2 0.095 0.00403 0.126 -1.79 c Is 2372.07 0 42144 2 2 0.0478 0.00403 0.063 -2.094 c Is

7 3s23p — 2 P°- 2 D 2267.2 75 44168 6 10 0.76 0.098 4.39 -0.231 c 4n

3s'2

(

l S)6d (5 uv)

2269.10 112 44169 4 6 0.76 0.088 2.63 -0.453 c Is 2263.46 0 44166 2 4 0.64 0.098 1.46 -0.71 c Is 2269.22 112 44166 4 4 0.13 0.0098 0.29 -1.41 D Is

8 3s2 3p- 2p°_2g 2261.8 75 44273 6 2 0.113 0.00288 0.129 -1.76 C 4n

3s2

( l S)7s (6 uv)

2263.74 112 44273 4 2 0.075 0.00288 0.086 -1.94 C Is 2258.01 0 44273 2 2 0.0377 0.00288 0.0428 -2.240 c Is

9 3s23p — 2p° 2jy 2208.3 75 45345 6 10 0.54 0.066 2.88 -0.402 c 4n 3s2('S)7d (7 uv)

2210.06 112 45346 4 6 0.54 0.059 1.72 -0.63 c Is 2204.67 0 4534-> 2 4 0.453 0.066 0.96 -0.88 c Is 2210.13 112 45344 4 4 0.090 0.0066 0.19 -1.58 D Is

10 3s23p — 2p°_ 2g 2202.8 75 45457 6 2 0.052 0.00127 0.055 -2.118 C 4n

352 ('S)8s (8 uv)

2204.62 112 45457 4 2 0.0349 0.00127 0.0369 -2.294 C Is 2199.18 0 45457 2 2 0.0175 0.00127 0.0184 -2.60 C. Is

11 3s2 3p — 2 P°_ 2J) 2172.3 75 46094 6 10 0.366 0.0431 1.85 -0.59 C 4n

3s2('S)8<f (9 uv)

2174.07 112 46094 4 6 0.365 0.0388 1.11 -0.81 C Is 2168.83 0 46093 2 4 0.306 0.0431 0.62 -1.064 C Is 2174.11 112 46093 4 4 0.061 0.0043 0.12 -1.76 D Is

12 3s23p —

3s2('S)9d

2p°_2J) 2149.0 75 46594 6 10 0.279 0.0322 1.37 -0.71 C 4n

2150.70 112 46594 4 6 0.279 0.0290 0.82 -0.94 C Is 2145.56 0 46593 2 4 0.233 0.0322 0.455 -1.191 c Is [2150.7] 112 46593 4 4 0.046 0.0032 0.091 -1.89 D Is

48
All. Allowed Transitions — Continued

No. Transition

Array

Multiplet x(A) f/lcm" 1

) £i(cra-‘) gi gk /f/w(10« sec

-1

) U S(at.u.) log gf Accuracy

Source

13 3s23p — 2p° 2£) 2133.1 75 46941 6 10 0.182 0.0207 0.87 -0.91 C 4n

3s2 ('S)10fl? 2134.73 112 46942 4 6 0.181 0.0186 0.52 -1.128 C Is 2129.66 0 46941 2 4 0.152 0.0207 0.290 -1.383 C Is [2134.7] 112 46941 4 4 0.030 0.0021 0.058 -2.08 D Is

14 3s23p — 2p°_2D 2121.7 75 47192 6 10 0.123 0.0138 0.58 -1.082 C 4n

3s 2123.36 112 47192 4 6 0.122 0.0124 0.347 -1.305 C Is 2118.3 0 47192 2 4 0.103 0.0138 0.192 -1.56 C Is [2123.4] 112 47192 4 4 0.020 0.0014 0.039 -2.26 D Is

15 3$3d- 2D _2F

° 11254 32436 41319 10 14 0.177 0.471 175 0.67 C 2 3s2

(

1 S)4/ (8) 11254.9 32437 41319 6 8 0.178 0.450 100 0.431 C Is 11253.2 32435 41319 4 6 0.166 0.472 70 0.276 C Is [11255] 32437 41319 6 6 0.012 0.023 5.0 -0.87 D Is

16 3s23d— 2 D_ 2F° 8773.4 32436 43831 10 14 0.11 0.17 49 0.23 D- ca

3s 2('S)5f (9) 8773.90 32437 43831 6 8 0.10 0.16 28 -0.02 D- Is 8772.87 32435 43831 4 6 0.098 0.17 20 -0.17 D- Is [8773.9] 32437 43831 6 6 0.0069 0.0080 1.4 -1.32 E Is

17 3s23d — 2 D _ 2 p° 7835.5 32436 45195 10 14 0.061 0.079 20 -0.10 D- ca

3s2 ('S)6/ (10)

7836.13 32437 45195 6 8 0.062 0.076 12 -0.34 D- Is 7835.31 32435 45195 4 6 0.057 0.079 8.2 -0.50 D- Is [7836.1] 32437 45195 6 6 0.0041 0.0038 0.59 -1.64 E Is

18 3s24s — 2g _ 2po 13132 25348 32961 2 6 0.182 1.41 122 0.450 C 2

3s2 ('S)4p (4) 13123.4 25348 32966 2 4 0.182 0.94 81 0.274 C Is 13150.8 25348 32950 2 2 0.181 0.470 40.7 -0.027 C Is

19 3s24s — 2 S — 2 P° 6697.0 25348 40276 2 6 0.0169 0.0340 1.50 -1.167 C- 5

3s2(’S)5p (5) 6696.02 25438 40278 2 4 0.0169 0.0227 1.00 -1.343 C- Is 6698.67 25348 40272 2 2 0.0169 0.0113 0.50 -1.65 C- Is

20 3s24s — 2g 2po 5557.4 25348 43337 2 6 0.00425 0.0059 0.216 -1.93 C- 5

3s2('S)6p (6) 5557.06 25348 43338 2 4 0.00425 0.00394 0.144 -2.103 c- Is 5557.95 25348 43335 2 2 0.00425 0.00197 0.072 -2.405 C- Is

21 3s24p — 2 P°_ 2 D 16743 32961 38932 6 10 0.101 0.71 235 0.63 c 2 3s2('S)4o? 16750.6 32966 38934 4 6 0.101 0.64 141 0.408 c Is 16719.0 32950 38929 2 4 0.085 0.71 78 0.152 c Is 16763.4 32966 38929 4 4 0.017 0.071 16 -0.55 D Is

22 3s24p — to ido 1 ro o 10779 32961 42236 6 10 0.0048 0.014 3.0 -1.08 D ca

3s2('S)5d (13)

10782.0 32966 42238 4 6 0.0050 0.013 1.8 -1.28 D Is 10768.4 32950 42234 2 4 0.0040 0.014 0.99 -1.55 D Is 10786.8 32966 42234 4 4 8.0 x 10-4 0.0014 0.20 -2.25 E Is

23 3s24p — 2p° _ 2g 10887 32961 42144 6 2 0.034 0.020 4.3 -0.92 D ca

3s2('S)6s (12)

10891.7 32966 42144 4 2 0.022 0.020 2.9 -1.10 D Is 10873.0 32950 42144 4 2 0.011 0.020 1.4 -1.40 D Is

24 3s24p — 2p°_2[) 8920.6 32961 44168 6 10 0.0011 0.Q021 0.37 -1.90 D ca

3s2('S)6^ (14)

8923.56 32966 44169 4 6 0.0011 0.0019 0.22 -2.12 D Is 8912.90 32950 44166 2 4 0.0010 0.0021 0.11 -2.38 D Is

1 8925.50 32966 44166 4 4 1.3 x 10 -4 2.2 X 10-4 0.026 -3.06 E Is

49
Al l. Allowed Transitions — Continued

No. Transition

Array

Multiplet X(A) f’dcm-1) fulcm-1

) gk /M108 sec

-1

)

fik S(at.u.) loggf Accuracy

Source

25 3s24p — 2p°_2g 8837.8 32961 44273 6 2 0.017 0.0065 1.1 -1.41 D ca

3s2('S)7s (15)

8841.28 32966 44273 4 2 0.011 0.0065 0.76 -1.59 D Is 8828.91 32950 44273 2 2 0.0056 0.0065 0.38 -1.89 D Is

All

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

A1 1 . Forbidden Transitions

No.

Transition

Array Multiplet HA) f’dcm ’) Ekicm ! ) gt gk

Type of

Transition Aki ( sec 4 ) S(at.u.)

Accuracy Source

1 3p— (

1 S ) 3/>

O 1 K. o [89.230 X 104

] 0.00 112.04 2 4 m 1.26 X 10"5 1.33 A 1

50
A1 II

(Ground State ls2 252 2/;e3$ 2 1 So

Ionization Potential 18.823 eV = 151860.4 cm-'

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

1047.9 17 1965.4 10 5999.76 37

1048.6 17 1989.85 9 6001.81 37

1050.0 17 2015.4 6 6006.42 37

1189.2 15 2192.6 5 6061.11 40

1190.1 15 2194.2 5 6066.38 39

1191.9 15 2195.4 5 6068.46 39

1350.2 18 2195.5 5 6073.23 39

1539.74 16 2816.19 13 6226.18 23

1670.81 1 2994.26 30 6231.5 23

1719.46 8 2995.54 30 6231.78 23

1721.28 8 2998.16 30 6243.2 23

1721.3 8 3088.52 32 6243.36 23

1724.98 8 3649.1 26 6335.74 20

1725.1 8 3651.1 26 6816.69 24

1760.1 2 3651.10 26 6823.48 24

1762.0 2 3655.0 26 6837.14 24

1763.79 2 3655.00 26 6917.93 42

1763.95 2 3703.22 31 6919.96 25

1765.8 2 3731.95 28 7042.06 21

1767.60 2 3733.91 28 7056.60 21

1855.95 12 3738.00 28 7063.64 21

1858.05 12 3866.16 29 7449.42 38

1862.34 12 3900.68 3 7471.41 19

1904.3 11 4663.1 14 7624.48 36

1906.5 11 5388.48 35 7627.85 36

1906.6 11 5593.23 27 7635.33 36

1906.7 11 5613.19 43 8354.35 33

1910.0 11 5853.62 34 8359.23 33

1911.0 11 5861.4 34 8359.57 33

1931.05 4 5861.53 34 8362.4 33

1958.4 10 5867.3 34 8363.30 33

1958.9 7 5867.6 34 8363.52 33

1960.7 10 5867.81 34 8640.70 22

1965.3 10 5971.94 41

Weiss’ [1] values have been calculated by means of the method of superposition of configurations, employing Hartree-Fock wavefunctions as a starting point. The calculations have been

carried out both in the dipole length and dipole velocity approximations. Zare [2] has performed

similar calculations, also in the length and velocity forms, using however, the simpler, less accurate Hartree-Fock-Slater wavefunctions, in which exchange effects are only approximately taken

into account. The dipole length values of refs. [1] or [2] are selected, being probably more reliable

than the velocity values, as suggested by the authors. Crossley and Dalgarno’s values [3] have

been obtained from a charge-expansion technique which includes configuration mixing in a limited

way. There is usually good agreement for those transitions where the various calculations overlap.

In these cases we have chosen Weiss’ results over Zare’s values and these in turn over ref. [3].

51
The accuracy estimate has been reduced where there is significant disagreement between the

length and velocity forms or where there appears to be cancellation in the transition integral.

References

[1] Weiss, A. W., J. Chem. Phys. 47, 3573 (1967).

[2] Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soc. London A2 86, 510-518 (1965).

[3] Zare, R. N., J. Chem. Phys. 47, 3561 (1967).

A1 II. Allowed Transitions

No. Transition

Array

Multiplet x(A) Ei(cm-1

) ^(cm-1 ) gi gk

sec

-1

)

fik S(at.u.) log gf Accuracy

Source

1 3s2 — 3s( 2 S)3p . S _ip° 1670.81 0 59850 1 3 14.6 1.84 10.1 0.265 B 1 (2 uv)

2 3s3p — 3p2 W O 1 13 1 764.0 37517 94207 9 9 13.1 0.61 32.0 0.74 c + 1 (5 uv)

1763.95 37579 94268 5 5 9.8 0.458 13.3 0.360 c + Is 1763.79 37454 94147 3 3 3.29 0.153 2.67 -0.338 c Is 1767.60 37579 94147 5 3 5.4 0.153 4.44 -0.116 c Is [1765.81 37454 94085 3 1 13.1 0.204 3.55 -0.213 c Is [1760.11 37454 94268. 3 5 3.30 0.255 4.44 -0.116 c Is [1762.0] 37392 94147 1 3 4.38 0.61 3.55 -0.215 c Is

3

1 P° — 1 D 3900.68 59850 85479 3 5 0.0048 0.0018 0.070 -1.27 E 1 (1) 4 130 1 (n 1931.05 59850 111637 3 1 10.8 0.202 3.85 -0.218 C 1

5 3s( 2 S)3d— CO a i i 2193.8 95548 141116 15 21 3.1 0.31 34 0.67 D 2

3p(2 P°)3d

[2192.6] 95547 141141 7 9 3.2 0.30 15 0.32 D Is [2194.2] 95548 141108 5 7 2.7 0.28 10 0.15 D Is [2195.5] 95549 141082 3 5 2.6 0.31 6.8 -0.03 D Is [2194.2] 95547 141108 7 7 0.36 0.026 1.3 -0.74 D- Is [2195.5] 95548 141082 5 5 0.50 0.036 1.3 -0.74 D- Is [2195.4] 95547 141082 7 5 0.014 7.1 X 10 -4 0.036 -2.30 E Is

6

f D— ! D° 2015.4 95548 145150 15 15 4.1 0.25 25 0.57 D 2

7

i[) _ :ip° 1958.9 95548 146598 15 9 6.8 0.24 23 0.55 D 3

8 3s3p — 3s( 2S)3d 3 p°_3D 1 723.2 37517 95548 9 15 12.1 0.901 46.0 0.909 B 1 (6 uv)

[1725.1] 37579 95547 5 7 12.1 0.757 21.5 0.578 B Is [1721.3] 37454 95548 3 5 9.14 0.676 11.5 0.307 B Is 1719.46 37392 95549 1 3 6.79 0.903 5.11 -0.044 B Is [1725.1] 37579 95548 5 5 3.02 0.135 3.83 -0.171 B Is 1721.28 37454 95549 3 3 5.07 0.225 3.83 -0.171 B Is 1724.98 37579 95549 5 3 0.34 0.0090 0.26 - 1.35 D Is

9 -5O 1 a 1989.85 59850 110088 3 5 14.7 1.45 28.5 0.64 C + 1 (8 uv)

10 3p2 — 3p( 2 P°)3d 3p_3J)0 1963.0 94207 145150 9 15 12 1.2 70 1.03 D 2

[1965.3] 94268 145152 5 7 13 1.0 33 0.70 D Is [1960.7] 94147 145148 3 5 9.1 0.88 17 0.42 D Is [1958.4] 94085 145148 1 3 7.0 1.2 7.8 0.08 D- Is [1965.4] 94268 145148 5 5 3.1 0.18 5.8 -0.05 D- Is [1960.7] 94147 145148 3 3 5.2 0.30 5.8 -0.05 D- Is [1965.4] 94268 145148 5 3 0.35 0.012 0.39 -1.22 E Is

11 lip _ :!p° 1908.7 94207 146598 9 9 8.1 0.44 25 0.60 D 2

[1910.9] 94268 146599 5 5 5.8 0.32 10 0.20 D Is [1906.6] 94147 146597 3 3 2.0 0.11 2.1 -0.48 D- Is [1911.0] 94268 146597 5 3 3.4 0.11 3.5 -0.26 D- Is [1906.7] 94147 146595 3 1 8.2 0.15 2.8 -0.35 D - Is [1906.5] 94147 146599 3 5 2.0 0.19 3.5 -0.24 D- Is [1904.3] 94085 146597 1 3 2.7 0.45 2.8 -0.35 D~ Is

52
A1 II. Allowed Transitions — Continued

No. Transition

Array

Multiplet \(A) Fifcm-1

) ^•(cnr 1

) gk /f*i(10« sec

-1

)

iik Slat.u.) log gf Accuracy

Source

12 3s3p — 3s( 2 S)4s 3P°- 3S 1860.3 37517 91271 9 3 7.44 0.129 7.09 0.065 B 1 (4 uv)

1862.34 37579 91271 5 3 4.12 0.129 3.94 -0.190 B Is 1858.05 37454 91271 3 3 2.48 0.129 2.36 -0.412 B Is 1855.95 37392 91271 1 3 0.832 0.129 0.788 - 0.889 B Is

13 0o l C/5 2816.19 59850 95348 3 1 3.83 0.152 4.22 -0.341 C- 1

14 3p2 — 3s( 2S)4p 'D-'P° [4663.1] 85479 106918 5 3 0.53 0.104 8.0 -0.284 C 3

15 3s3p — 3s( 2S)4d CO •no l 6 1191.0 37517 121481 9 15 1.7 0.059 2.1 -0.28 D 3

[1191.9] 37579 121480 5 7 1.7 0.050 0.98 -0.60 D Is [1190.1] 37454 121481 3 5 1.3 0.044 0.52 -0.88 D Is [1189.2] 37392 121481 1 3 0.93 0.059 0.23 -1.23 D- Is [1191.9] 37579 121481 5 5 0.42 0.0089 0.17 -1.35 D- Is [1190.1] 37454 121481 3 3 0.70 0.015 0.17 -1.35 D- Is [1191.9] 37579 121481 5 3 0.046 5.9 x 10-4 0.012 -2.53 E Is

16 'P°— 'D 1539.74 59850 124792 3 5 8.8 0.52 7.9 0.19 D 3

(10 uv)

17 3s3p — 3s( 2S)5d 3 P° — 3 D 1049.3 3751 7 132820 9 15 0.64 0.018 0.55 -0.80 D 3

[1050.0] 37579 132820 5 7 0.64 0.015 0.26 -1.13 D Is [1048.6] 37454 132820 3 5 0.48 0.013 0.14 -1.40 D Is [1047.9) 37392 132820 1 3 0.36 0.018 0.061 -1.75 D

- Is [1050.0] 37579 132820 5 5 0.16 0.0027 0.046 -1.88 D- Is [1048.6| 37454 132820 3 3 0.27 0.0044 0.046 -1.88 D- Is [1050.0] 37579 132820 5 3 0.018 1.8 x 10-4 0.0031 -3.05 E Is

18 0o 1 0 [1350.2] 59850 133914 3 5 4.8 0.22 2.9 -0.19 E 3

19 3s3d — 3s( 2 S)4f 'D-'F0 7471.41 110088 123468 5 7 0.94 1.1 140 0.74 D ca

(21)

20 3s3d — 3s( 2S)5p 1 D — 1 P° 6335.74 110088 125867 5 3 0.14 0.050 5.2 -0.60 D ca

(22)

21 3s4s — 3s( 2S)4p O on "l a- 7049.3 91271 105453 3 9 0.58 1.31 91 0.59 C + 3

(3) 7042.06 91271 105468 3 5 0.59 0.73 51 0.340 C + Is 7056.60 91271 105438 3 3 0.58 0.435 30.3 0.116 c + Is 7063.64 91271 105424 3 1 0.58 0.145 10.1 -0.362 c + Is

22 . S _ip° 8640.70 95348 106918 1 3 0.286 0.96 27.3 -0.018 c 3

(4)

23 3s4p — 3s( 2 S)4d 3 P° — 3 D 6237.4 105453 121481 9 15 1.1 1.1 200 1.00 D ca

(10)

6243.36 105468 121480 5 7 1.1 0.96 93 0.68 D Is 6231.78 105438 121481 3 5 0.84 0.86 50 0.41 D Is 6226.18 105424 121481 1 3 0.62 1.1 22 0.04 D- Is [6243.2] 105468 121481 5 5 0.28 0.17 17 -0.07 D- Is [6231.5] 105438 121481 3 3 0.47 0.28 17 -0.08 D- Is [6243.2] 105468 121481 5 3 0.031 0.011 1.1 -1.26 E Is 24 3s4p — 3s( 2 S)5s 3 p° — 3 S 6830.1 105453 120090 9 3 1.0 0.24 49 0.33 D ca

(9) 6837.14 105468 120090 5 3 0.57 0.24 27 0.08 D Is 6823.48 105438 120090 3 3 0.34 0.24 16 -0.14 D Is 6816.69 105424 120090 1 3 0.11 0.24 5.4 -0.62 D Is

25 .p°_. S 6919.96 106918 121365 3 1 0.96 0.23 16 -0.16 D ca

(15)

53
A1 ii. Allowed Transitions — Continued

No. Transition

Array

Multiplet X(A) filcm-1

) Ek( cm-1

) gi gk /Wio*

sec

-1

) U S(at.u.) log gf Accuracy

Source

26 3s4p — 3s( 2S)5d :i P° — :i D 3653.0 105453 132820 9 15 0.27 0.091 9.9 -0.09 D ca

(12)

3655.00 105468 132820 5 7 0.27 0.077 4.6 -0.41 D Is 3651.10 105438 132820 3 5 0.21 0.069 2.5 -0.68 D Is [3649.1] 105424 132820 1 3 0.15 0.092 1.1 -1.04 D- Is [3655.0] 105468 132820 5 5 0.069 0.014 0.83 -1.15 D- Is [3651.1] 105438 132820 3 3 0.12 0.023 0.83 -1.16 D- Is [3655.0] 105468 132820 5 3 0.0076 9.1 X 10-4 0.055 -2.34 E Is

27 •v o 1 6 5593.23 106918 133914 3 5 1.1 0.85 47 0.41 D ca

(16)

28 3s4p — 3s(

2S)6s :! P° — :! S 3735.9 105453 132213 9 3 0.39 0.027 3.0 -0.61 D ca (ID

3738.00 105468 132213 5 3 0.21 0.027 1.7 -0.87 D Is 3733.91 105438 132213 3 3 0.13 0.027 1.0 -1.09 D Is 3731.95 105424 132213 1 3 0.043 0.027 0.33 -1.57 D Is

29 ip°_i S 3866.16 106918 132776 3 1 0.37 0.028 1.1 -1.08 D ca

(17)

30 3s4p — 3s( 2 S)6c? •v

o 1 a 2996.8 105453 138812 9 15 0.11 0.025 2.2 -0.65 D ca

(14)

2998.16 105468 138812 5 7 0.11 0.021 1.0 -0.98 D Is 2995.54 105438 138812 3 5 0.085 0.019 0.56 -1.24 D Is 2994.26 105424 138812 1 3 0.062 0.025 0.25 -1.60 D- Is 2998.16 105468 138812 5 5 0.027 0.0037 0.18 -1.73 D- Is 2995.54 105438 138812 3 3 0.046 0.0062 0.18 -1.73 D~ Is 2998.16 105468 138812 5 3 0.0031 2.5 x 10-4 0.012 -2.90 E Is

31 "0o 1 a 3703.22 106918 139287 3 5 0.38 0.13 4.8 -0.41 D ca

(18)

32 3s4p — 3s( 2 S)7<f ip°_'D 3088.52 106918 142607 3 5 0.15 0.036 1.1 -0.97 D ca

(20)

33 3s4</-3s(2 S)5/ :i D—! F° 8358.2 121481 133442 15 21 0.50 0.74 310 1.05 D ca

(40)

8354.35 121480 133447 7 9 0.50 0.67 130 0.67 D Is 8359.57 121481 133440 5 7 0.44 0.65 89 0.51 D Is 8363.52 121481 133435 3 5 0.42 0.74 61 0.35 D Is 8359.23 121480 133440 7 7 0.055 0.058 11 -0.39 D- Is 8363.30 121481 133435 5 5 0.078 0.082 11 -0.39 D- Is [8362.4] 121480 133435 7 5 0.0022 0.0017 0.32 -1.92 E Is 34 3s4d— 3s( 2 S)6/ :! D-:! F° 5859.7 121481 138542 15 21 0.24 0.17 49 0.41 D ca

(41)

5853.62 121480 138559 7 9 0.24 0.15 21 0.02 D Is 5861.53 121481 138536 5 7 0.22 0.15 15 -0.12 D Is 5867.81 121481 138519 3 5 0.20 0.17 9.8 -0.29 D Is [5861.4] 121480 138536 7 7 0.026 0.013 1.8 -1.04 D- Is [5867.6] 121481 138519 5 5 0.036 0.019 1.8 -1.02 D- Is [5867.3] 121480 138519 7 5 0.0010 3.8 X 10- 4 0.051 -2.58 E Is

35 3s5s — 35(

2 S)7p 'S-'P0 5388.48 121365 139917 1 3 0.012 0.016 0.28 -1.80 D ca

(34)

36 3s5p — 3s( 2 S)6d ;! P° — :J D 7632.1 125713 138812 9 15 0.089 0.13 29 0.07 D ca

(91)

7635.33 125719 138812 5 7 0.090 0.11 14 -0.26 D Is 7627.85 125706 138812 3 5 0.065 0.095 7.2 -0.55 D Is 7624.48 125701 138812 1 3 0.050 0.13 3.3 -0.89 D- Is 7635.33 125719 138812 5 5 0.022 0.019 2.4 -1.02 D- Is 7627.85 125706 138812 3 3 0.037 0.032 2.4 -1.02 D- Is 7635.33 125719 138812 5 3 0.0025 0.0013 0.16 -2.19 E Is

54
A1 ii. Allowed Transitions — Continued

No. Transition

Array

Multiplet x(A) EKcm-1

) F/dcm-1) /b,do«

sec

-1

)

ft* Sfat.u.) log gf Accuracy

Source

37 3s5p — 3s( 2 S)7d 3 P° — 3 D 6004.4 125713 142363 9 15 0.034 0.031 5.5 -0.55 D ca

(93)

6006.42 125719 142363 5 7 0.034 0.026 2.6 -0.89 D Is 6001.81 125706 142363 3 5 0.026 0.023 1.4 -1.16 D Is 5999.76 125701 142363 1 3 0.019 0.031 0.61 -1.51 D- Is 6006.42 125719 142363 5 5 0.0085 0.0046 0.45 -1.64 D- Is 6001.81 125706 142363 3 3 0.014 0.0076 0.45 -1.64 D- Is 6006.42 125719 142363 5 3 9.2 X 10-4 3.0 X 10-4 0.030 -2.82 E Is 38 *5o I 6 7449.42 125867 142607 3 5 0.12 0.16 12 -0.32 D ca

(98)

39 3s5p — 3s(

2 S)8s 3P°- 3 S 6071.1 125713 142180 9 3 0.076 0.014 2.5 -0.90 D ca

(92)

6073.23 125719 142180 5 3 0.042 0.014 1.4 -1.15 D Is 6068.46 125706 142180 3 3 0.025 0.014 0.84 -1.38 D Is 6066.38 125701 142180 1 3 0.0085 0.014 0.28 -1.85 D Is

40 'P°-'S 6061.11 125867 142361 3 1 0.076 0.014 0.84 -1.38 D ca

(99)

41 3s5p — 3s( 2S)8d "5o 1 6 5971.94 125867 144780 3 5 0.049 0.044 2.6 -0.88 D ca

(100)

42 3s5d— 3s( 2 S)6/ >D-'F° 6917.93 133914 139243 5 7 0.16 0.16 18 -0.10 D ca

(75)

43 3s5d— 3s( 2S)7/ >D-'F° 5613.19 133914 142602 5 7 0.070 0.046 4.3 -0.64 D ca

(77)

A1 II

Forbidden Transitions

Naqvi’s calculations [1] are the only available source. The results for the 3 P° —3 P° transitions are essentially independent of the choice of the interaction parameters. For the 3p°_ip° transitions, Naqvi uses empirical term intervals, i.e., the effects of configuration interaction should be

partially included.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

A1 II. Forbidden Transitions

No.

Transition

Array Multiplet M A) Ej ( cm ') Fa-

(

cm ') Xa- Type ofTransition A a; ( sec ') S(at.u.)

Accuracy Source

1 3s3p — 3s{ 2 S)3p :sp°_:sp°

[16.18 x 105

] 37392.0 37453.8 1 3 m 4.24 X 10~6 2.00 B 1

[ 79.66 X

l 104

] 37453.8 37579.3 3 5 m 2.67 x 10-* 2.50 B 1

2

,jp° _ l po

[4451.6] 37392.0 59849.7 1 3 m 0.00288 2.83 X 10-"’ C 1 [4463.9] 37453.8 59849.7 3 3 m 0.57 0.0056 C 1 [4489.0] 37579.3 59849.7 5 3 m 0.00351 3.53 x 10-> C 1

55
A1 ill

Ground State \s2 2s-2pG3s ~ Si

/•>

Ionization Potential 28.44 eV = 229453.99 cm" 1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

560.390 3 1862.78 1 4357.24 15

695.817 2 1935.9 7 4364.59 15

696.212 2 3283.11 16 4512.54 11 1162.6 9 3287.37 16 4528.91 11 1352.8 8 3601.62 6 4529.18 11

1379.6 5 3601.92 6 4701.65 14

1384.2 5 3612.35 6 4903.71 17 1605.7 4 3702.09 12 5260.91 19

1611.88 4 3713.10 12 5696.47 10

1611.90 4 3980.56 18 5722.65 10

1854.72 1 4150.1 13

Self-consistent field calculations including exchange effects have been carried out by Weiss

[1] and by Chapman, Clarke, and Aller [3] for several multiplets of this ion. Weiss" values have

been calculated with both the dipole length and dipole velocity formulas which agree usually within

a few percent. Stewart and Rotenberg [2], who developed a method employing a scaled ThomasFermi potential, have applied this to several A1 III transitions, including 3s-5p, which is not covered

by the other authors. Good agreement exists among the various calculations, including the Coulomb

approximation, for the few cases where they overlap. Cancellation occurs in varying degrees for

the 3s-4p, 3s-5p, 5p-6d, and 5p-7d transitions, which are mostly covered by the Coulomb approximation. In these cases the accuracy rating has been reduced. We have adopted the values of

Weiss [1], i.e., the average of his dipole length and dipole velocity values, when we had a choice

between different calculations. Furthermore, the results of Refs. [2] and [3] were chosen in prefer- ence to the Coulomb approximation.

Weiss [1] has also carried out calculations for the doublet ratios of those transitions for which

he has calculated absolute /-values. His results indicate that the doublet ratios follow LS-coupling

quite well, in direct disagreement with the experimental results of Kisiel [4] who has measured the

intensity ratios of various transitions connected with the 3p state. It appears that Kisiel has failed

to adequately investigate the effects of self-absorption which are probably quite important in this

experiment.

For A1 III, a member of the sodium isoelectronic sequence, it is possible to utilize extensively

the dependence of oscillator strengths on nuclear charge for the intercomparison of analogous

transitions. Thus, the degree of fit of the individual /-values into the systematic trends has served

as one of the decisive factors for the choice of accuracy assignments.

References

[1] Weiss, A. W., to be published (1969).

[2] Stewart, J. C., and Rotenberg, M., Phys. Rev. 140, 1508A-1519A (1965).

[3] Chapman, R. D., Clarke, W. H., and Aller, L. H., Astrophys. J. 144, 376-380 (1966).

[4] Kisiel, A., Acta Phys. Polon. 23, 167-175 (1963).

56
A1 III. Allowed Transitions

No. Transition Multiplet x(A) £ EkWm ') A'a- •4a-,

(

10* sec

-1

) fu S(at.u.) log Kf Accu- Source

Array racy

1 35 — 3p

2 S _2po

1857.4 0 53839 2 6 5.64 0.875 10.7 0.243 B 1 (1 uv)

1854.72 0 53917 2 4 5.67 0.585 7.14 0.066 B Is 1862.78 0 53684 2 2 5.60 0.291 3.57 -0.235 B Is

2 35 — 4p

2S _ 2po

695.97 0 143684 2 6 0.52 0.011 0.052 -1.64 D 1 (2 uv)

695.817 0 143712 2 4 0.53 0.0076 0.035 -1.82 D Is 696.212 0 143632 2 2 0.51 0.0037 0.017 -2.13 D Is

3 35 — 5p

2 S- P

° 560.390 0 178455 2 6 0.48 0.0068 0.025 -1.87 D 2

(3 uv)

4 3p — 3c? - P

° — -D 1609.9 53839 115956 6 10 14.5 0.937 29.8 0.750 B 1

1611.90 53917 115955 4 6 14.4 0.843 17.9 0.528 B Is 1605.7 53684 115957 2 4 12.1 0.939 9.93 0.274 B Is 1611.88 53917 1 15957 4 4 2.42 0.0942 2.00 -0.424 B Is

5 3p — 45 " P

° “S 1382.7 53839 126163 6 2 13.5 0.129 3.51 -0.111 C + 1

[1384.2] 53917 126163 4 2 8.9 0.129 2.34 -0.287 C + Is [1379.6] 53684 126163 2 2 4.51 0.129 1.17 -0.59 c + Is

6 3c? — 4p 2 D — 2 P° 3605.4 115956 143684 10 6 1.49 0.174 20.7 0.242 c + 1 (1) 3601.62 115955 143712 6 4 1.34 0.174 12.4 0.020 c + Is 3612.35 115957 143632 4 2 1.48 0.145 6.9 -0.236 c + Is 3601.92 115957 143712 4 4 0.150 0.0291 1.38 -0.93 c + Is

7 3c? — 4/ “D - 2 F° [1935.9] 115956 167612 10 14 12.2 0.96 61 0.98 c + ca

8 3c? — 5/ 2 D — 2F° [1352.8] 115956 189875 10 14 4.40 0.169 7.5 0.228 c ca

9 3g?— 6/ 2 D~ 2 F° [1162.6] 115956 201970 10 14 2.1 0.061 2.3 -0.21 ~ D ca

10 4s — 4p 2 S_2P

° 5705.9 126163 143684 2 6 0.878 1.29 48.3 0.412 B 1 (2) 5696.47 126163 143712 2 4 0.882 0.859 32.2 0.235 B Is 5722.65 126163 143632 2 2 0.870 0.427 16.1 -0.069 B Is

11 4p — 4c? 2 P°_2D 4523.2 143684 165786 6 10 2.56 1.31 117 0.90 c + 3

(3) 4529.18 143712 165785 4 6 2.54 1.17 70 0.67 c + Is 4512.54 143632 165787 2 4 2.15 1.31 38.9 0.418 c + Is 4528.91 143712 165787 4 4 0.426 0.131 7.8 -0.281 c + Is

12 4p — 5s 2p° 3709.2 143684 170636 6 2 3.42 0.235 17.2 0.149 c + 3

(4) 3713.10 143712 170636 4 2 2.27 0.235 11.5 -0.027 c + Is 3702.09 143632 170636 2 2 1.14 0.235 5.7 -0.328 c + Is

13 4c?- 5/ 2 D _2F

o 4150.1 165786 189875 10 14 2.19 0.79 108 0.90 c + 3

(5)

14 4/- 5c? 2 F°_2D 4701.65 167612 188876 14 10 0.079 u.019 4.1 -0.58 D ca

(6)

15 5p — 6c? 2 P°_2D 4362.0 1 78455 201374 6 10 0.084 0.040 3.5 -0.62 D ca

(9) 4364.59 178470 201374 4 6 0.082 0.035 2.0 -0.85 D Is 4357.24 178430 201374 2 4 0.070 0.040 1.2 -1.10 D Is 4364.59 178470 201374 4 4 0.014 0.0039 0.23 -1.80 D Is

57
Aim. Allowed Transitions — Continued

No. Transition Multiplet a(A) Ej( cm ') Ek( cm ') gi A/,- Akj (10s sec ') fik S(at.u.) •<>g «/' Accu- Source

Array racy

16 5p — Id 2 P° — -D 3285.8 1 78455 208880 6 10 0.011 0.0030 0.19 -1.74 D ca GO) | 3287.37 178470 208880 4 6 0.011 0.0026 0.11 -1.98 D Is 3283.11 178430 208880 2 4 0.0093 0.0030 0.065 -2.22 D Is 3287.37 178470 208880 4 4 0.0018 2.9 X 10- 4 0.013 -2.94 D Is

17 Sd-7f 2 D — 2 F° 4903.71 188876 209261 10 14 0.351 0.177 28.6 0.248 C ca

(11)

18 5d~8f 2 D - F

° 3980.56 188876 213992 10 14 0.229 0.076 10.0 -0.119 C ca

(12)

19 5/— Id 2F° — 2 D 5260.91 189875 208880 14 10 0.0280 0.0083 2.01 -0.93 C ca

(13)

A1 iv

Ground State ls 22.s

2 2p6 ‘So

Ionization Potential 119.96 eV = 967783 cm -1

Allowed Transitions

Calculations by Kastner, Omidvar, and Underwood [1], employing Hartree-Foek wavefunctions

and including intermediate coupling, are available. Since the calculations are based on a singleconfiguration approximation only, uncertainties of up to 50 percent are expected for the strong

lines and even higher uncertainties for the weak lines, the latter being more affected by assumptions

about the coupling.

Reference

[1] Kastner. S. O., Omidvar. K., and Underwood. J. H., Astrophys. J. 148 , 269-273 (1967).

A1 IV. Allowed Transitions

No. Transition

Array

Multiplet a(A) Fdcm-1

) £V(cm-') gi gk /4a-,(10

s sec ') ftk S(at.u.) •«>g gf Accuracy Source

1 2p6—

p

5

( 2po

/2 ) 3s S- 3P°

[161.69] 0 618478 1 3 13 0.015 0.0080 -1.82 E 1

2 2pK —2p5

( 2 P°/2 )3s cc 1 *0o [160.07] 0 624721 1 3 170 0.20 0.11 -0.70 D 1

3 2pH —2p5

( 2 P°/2 )3d 1 S — :i P°

[131.65] 0 759601 1 3 4.7 0.0037 0.0016 -2.43 E 1

4 2pH —2p5

( 2

P.°/2)3d 'S->P° [130.37] 0 767041 1 3 630 0.48 0.21 -0.32 D 1

5 2pK —2p5

( 2 P° 2 )3d ‘S — :i D°

[129.73] 0 770836 1 3 340 0.26 0.11 -0.59 D 1

58
Ground State ls2 2s

22p

5 2 P3/2

Ionization Potential 153.77 eV = 1240600 cm" 1

Allowed Transitions

The value for the 2s~2ph 2 P° — 2s2pH 2 S multiplet is calculated from the nuclear charge-expansion method of Cohen and Dalgarno [1]. It may be quite uncertain since configuration interaction

effects with configurations involving the n = 3 shell electrons, which were not included in this

calculation, may be significant.

Reference

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

Alv. Allowed Transitions

No. Transition

Array

Multiplet mA) E;( e m

_ 1 ) Ek( cm” 1 ) gi gk /fA/(10K sec ') fk S(at.u.) log gf Accuracy

Source

1 2s-2ph — 2s2p fi "P° “S 279.59 1147 358810 6 2 320 0.12 0.68 -0.14 D 1

[278.70] 0 358810 4 2 210 0.12 0.45 -0.32 D Is [281.40] 3440 358810 2 2 100 0.12 0.23 -0.62 D Is

A1 v

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

Alv. Forbidden Transitions

No.

Transition

Array Multiplet N( A) Ej{ cm 1 ) £7 (cm ') gi gk

Type of

Transition

4ki( sec ') S(at.u.)

Accuracy Source

1 2p

3 - 2p5 2p° 2po

[29062] 0 3440 4 2 m 0.731 1.33 A 1
A1 vi

Ground State ls-2s-2pA ;i P2

Ionization Potential 190.42 eV= 1536300 cm-'

Allowed Transitions

The values are calculated from the charge-expansion method of Cohen and Dalgarno [1] which

includes limited configuration mixing. From comparisons with other ions in the isoelectronic

sequence, uncertainties should be within 50 percent.

Reference

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

A1 vi. Allowed Transitions

No. Transition

Array

Multiplet x(A) Ej( cm ') Ek( cm" 1 ) gi gk Ta,( 10* sec ') jik S(at.u.) log gf Accuracy

Source

1 2s~2p4 — 2s2pr> _ sp° 309.68 1338 324249 9 9 140 0.21 1.9 0.28 D 1

[309.60] 0 323002 5 5 110 0.16 0.79 -0.10 D Is [309.85] 2736 325470 3 3 36 0.052 0.16 -0.81 D Is [307.25] 0 325470 5 3 61 0.051 0.26 -0.59 D Is [308.56] 2736 326822 3 1 140 0.069 0.21 -0.64 D Is [312.24] 2736 323002 3 5 35 0.084 0.26 -0.60 D Is [310.91] 3831 325470 1 3 47 0.21 0.21 -0.68 D Is

2 'D-'P° [243.76] 41600 451840 5 3 240 0.13 0.51 -0.19 D 1

3 'S-'P° [275.35] 88670 451840 1 3 36 0.12 0.11 -0.92 D 1

A1 VI

Forbidden Transitions

As in the case of Na IV the adopted values are taken from Naqvi [1], and Malville and Berger

[2], For a discussion on the selection of values see NalV, since the same considerations have been

applied.

References

60

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M., and Berger, R. A., Planetary and Space Science 13, 1131 (1965).
A1 VI. Forbidden Transitions

No.

Transition

Array Multiplet MA) Ei ( cm 1 ) Ek ( cm ') gi gk

Type of

Transition dki( sec ') S(at.u.)

Accuracy Source

1 2p4 -2p4 3 P — P

[36540] 0 2736 5 3 e 6.1 X 10-7 0.071 c- 1, 2 [36540] 0 2736 5 3 m 0.461 2.50 B 1 [26096] 0 3831 5 1 e 4.3 X lO"6 0.0310 C- 2 [91300] 2736 3831 3 1 m 0.0708 2.00 B 1, 2

2

3 P — 'D

[2403.1] 0 41600 5 5 e 0.0037 8.8 X 10"4 D- 1. 2 [2403.1] 0 41600 5 5 m 5.2 0.0133 C 1 [2572.3] 2736 41600 3 5 e 3.7 X 10-4 1.3 X 10"4 D- 1, 2 [2572.3] 2736 41600 3 5 m 1.40 0.00443 C 1 [2646.9] 3831 41600 1 5 e 1.3 X 10-4 5.1 X 10-5 C- 2

3

3 P-'S

[1127.8] 0 88670 5 1 e 0.056 6.1 x 10-5 D- 2 [1163.7] 2736 88670 3 1 m 61 0.00356 C 2

4 >D-'S

[2123.8] 41600 88670 5 1 e 4.8 0.123 C- 2

A1 VII

Ground State ls22s2 2p3 4 S !$/2

Ionization Potential 241.38 eV= 1947390 cm-1 Allowed Transitions

Values for all the listed transitions are calculated from the nuclear charge-expansion method

of Cohen and Dalgarno [1], which includes limited configuration mixing. Judged from graphical

comparisons with other ions in the isoelectronic sequence and from the general success of Cohen

and Dalgarno’s method for similar atomic systems, uncertainties within 50 percent are indicated.

Reference

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258—270 (1964).

A1 VII. Allowed Transitions

No. Transition

Array

Multiplet vA) f/lcm' 1 ) filcnr 1 ) gi gk Ak,( 10* sec-') fik S(at.u.) I<>£ gf Accuracy

Source

1 2s-2p :i - 2s2p4 4 S°- 4 P 355.05 0 281647 4 12 41 0.24 1.1 -0.02 D 1

[356.89] 0 280200 4 6 41 0.12 0.55 -0.32 D Is [353.78] 0 282660 4 4 42 0.079 0.37 -0.50 D Is [352.16] 0 283960 4 2 42 0.039 0.18 -0.81 D Is

2 “D° “D 309.08 60736 384280 10 10 96 0.14 1.4 0.15 D 1

[309.12] 60760 384260 6 6 89 0.13 0.78 -0.11 D Is [309.01] 60700 384310 4 4 86 0.12 0.50 -0.32 D Is [309.07] 60760 384310 6 4 9.6 0.0092 0.056 -1.26 E Is [309.06] 60700 384260 4 6 6.4 0.014 0.056 -1.25 E Is

61
A1 VII. Allowed Transitions — Continued

No. Transition

Array

Multiplet X(A) Edcm-1

) Ek( cm ') gi gk Ta/(10s sec ') fk S(at.u.) log gf Accuracy

Source

3 -D° — -P 240.19 60736 477077 10 6 340 0.18 1.4 0.26 D 1

[240.77] 60760 476090 6 4 300 0.18 0.84 0.03 D Is [239.03] 60700 479050 4 2 350 0.15 0.47 -0.22 D Is [240.74] 60700 476090 4 4 34 0.029 0.093 -0.94 D Is

4 "P° "D 343.52 93180 384280 6 10 15 0.046 0.31 -0.56 D 1

[343.65] 93270 384260 4 6 16 0.042 0.19 -0.77 D Is [343.28] 93000 384310 2 4 13 0.044 0.10 -1.06 D Is [343.60] 93270 384310 4 4 0.021 0.0046 0.021 -1.74 E Is

5 "P° "S 279.19 93180 451360 6 2 210 0.082 0.45 -0.31 D 1

[279.26] 93270 451360 4 2 140 0.082 0.30 -0.48 D Is [279.05] 93000 451360 2 2 70 0.082 0.15 -0.79 D Is

6

2po 2p 260.49 93180 477077 6 6 100 0.10 0.54 -0.22 D 1

[261.22] 93270 476090 4 4 85 0.087 0.30 -0.46 D Is [259.03] 93000 479050 2 2 70 0.070 0.12 -0.85 D Is [259.22] 93270 479050 4 2 35 0.018 0.060 -1.14 E Is [261.04] 93000 476090 2 4 17 0.035 0.060 -1.15 E Is

A1 vii

Forbidden Transitions

All the values for this ion have been taken from Pasternack [1]. The electric quadrupole

values have been corrected by applying Naqvi’s value [2] for the electric quadrupole moment sq.

References

[1] Pasternack, S., Astrophys. J. 92, 129 (1940).

[2] Naqvi, A. M., Thesis Harvard (1951). A1 VII. Forbidden Transitions

No.

Transition

Array Multiplet mA) £i(cm ') Ek (cm ') Pi Type of

Transition Aki (sec ') S(at.u.)

Accuracy Source

1 2p :i — 2p:i 4 S° — 2 D°

[1645.8] 0 60760 4 6 m 0.0046 4.56 X 10-fi C- 1 [1645.8] 0 60760 4 6 e 0.0018 7.8 X 10-5 D- 1,2

[1647.4] 0 60700 4 4 m 0.26 1.72 X 10-4 C- 1 [1647.4] 0 60700 4 4 e 0.0011 3.3 X 10-5 D- 1,2

2 4go 2p°

[1072.2] 0 93270 4 4 rn 29 0.0053 C 1 [1072.2] 0 93270 4 4 e 1.8 X 10~s 6.2 x 10-8 D- 1,2

[1075.3] 0 93000 4 2 m 12 0.00111 C 1 [1075.3] 0 93000 4 2 e 4.4 X 10-5 7.5 x 10-8 D- 1,2

62
AI VII. Forbidden Transitions — Continued

No.

Transition

Array Multiplet mA) E,( cm ') Fa ( cm 1 ) gi gk

Type of

Transition Aa/

(

sec ') S(at.u.)

Accuracy Source

3 -D° — “D°

[16.7 X 10s

] 60700 60760 4 6 m 2.33 X 10~H 2.40 B 2

[16.7 x 10 r>] 60700 60760 4 6 e 1.2 X 10-' 7 5.4 X 10"4 D- 1, 2

4 -D° - P

°

(IF)

3074.0 60760 93270 6 4 m 4.6 0.0198 C 1 3074.0 60760 93270 6 4 e 0.31 0.20 D 2 3093.4 60700 93000 4 2 m 5.1 0.0112 C 1 3093.4 60700 93000 4 2 e 0.25 0.086 D 2 3098.7 60760 93000 6 2 e 0.17 0.058 D 2 3068.8 60700 93270 4 4 m 8.5 0.0366 C 1 3068.8 60700 93270 4 4 e 0.13 0.085 D 2

5 2 p° >p°

[37.03 X 10*] 93000 93270 2 4 m 1.77 X 10-4 1.33 B 2

[37.03 x 10 4

] 93000 93270 2 4 e 1.6 x 10~ 14 2.6 X 10-4 D- 1, 2

A1 VIII

(Ground State \s-2s22p2 3P0

Ionization Potential 284.53 eV= 2295500 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

247.39 3 325.32 2 387.97 1 248.46 3 328.20 2 1111.6 8

250.14 3 381.11 1 1118.7 8

251.34 5 383.66 1 1131.1 8

285.47 4 383.76 1 1206.3 7

287.04 6 387.67 1 1223.5 7 323.49 2 387.78 1 1280.4 7

Most data are obtained from the charge-expansion method of Cohen and Dalgarno [1] which

includes limited configuration mixing. Graphical comparisons of this material within the isoelectronic sequence depicting the dependence of /-values on nuclear charge have been made, and the

available experimental data for the lower ions, mostly from lifetime measurements, establish fairly

definitely that the uncertainties should not exceed 50 percent. Analogous graphs for the data obtained from the Coulomb approximation indicate that these values are accurate within 25 percent.

Reference

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

63
Alvin. Allowed Transitions

No. Transition

Array

Multiplet mA) Filcm -1

) Ek( cm- 1 ) g> gk Ak/(10s sec 1 ) fk S(at.u.) l«>g gf Accuracy

Source

1 2s22p- — 2s2p:i "0 1 O

O 385.76 3047 262273 9 15 24 0.087 1.0 -0.11 D + 1

[387.971 4440 262190 5 7 23 0.074 0.47 -0.43 D + Is [383.76] 1740 262320 3 5 18 0.066 0.25 -0.70 D + Is [381.11] 0 262390 1 3 13 0.088 0.11 -1.06 D Is [387.78] 4440 262320 5 5 5.8 0.013 0.083 -1.19 D Is [383.66] 1740 262390 3 3 9.9 0.022 0.083 -1.18 D Is [387.67J 4440 262390 5 3 0.65 8.8 x 10-4 0.0056 -2.36 E Is

2

:sp _ ip° 326.71 3047 309130 9 9 62 0.099 0.96 -0.05 D 1

[328.20] 4440 309130 5 5 46 0.074 0.40 -0.43 D Is [325.32] 1740 309130 3 3 16 0.025 0.080 -1.12 E Is [328.20] 4440 309130 5 3 25 0.024 0.13 -0.92 D- Is [325.32] 1740 309130 3 1 65 0.034 0.11 -0.99 D - Is [325.32] 1740 309130 3 5 15 0.040 0.13 -0.92 D- Is [323.49] 0 309130 1 3 22 0.10 0.11 -1.00 D- Is

3

3P- 3S° 249.27 3047 404220 9 3 350 0.11 0.81 0.00 D + 1

[250.14] 4440 404220 5 3 190 0.11 0.45 -0.26 D + Is [248.46] 1740 404220 3 3 120 0.11 0.27 -0.48 D + Is [247.39] 0 404220 1 3 40 0.11 0.090 -0.96 D + Is

4

O Q 1 Q [285.47] [46690] [396990] 5 5 170 0.21 1.0 0.02 D 1

5 'D — >P° [251.34] [46690] [444550] 5 3 230 0.13 0.53 -0.19 D 1

6

cJo 1 0 [287.04] [96170] [444550] 1 3 60 0.22 0.21 -0.66 D- 1

7 2p3s — 3 P°- 3 S 1 252.5 1322337 1402180 9 3 6.2 0.0485 1.80 -0.360 C ca

2p(

2 P°)3p

[1280.4] 1324080 1402180 5 3 3.22 0.0474 1.00 -0.63 C Is [1223.5] 1320450 1402180 3 3 2.21 0.0497 0.60 -0.83 C Is [1206.3] 1319280 1402180 1 3 0.77 0.050 0.200 -1.301 C Is

8 2p3p — 3S — 3P° 1124.7 1402180 1491089 3 9 4.65 0.265 2.94 -0.100 c ca

2p(-P°)3d

[1131.1] 1402180 1490590 3 5 4.56 0.146 1.63 -0.358 c Is [1118.7] 1402180 1491570 3 3 4.73 0.089 0.98 -0.57 c Is [1111.6] 1402180 1492140 3 1 4.82 0.0298 0.327 -1.049 c Is

A1 viii

Forbidden Transitions

The adopted values represent, as in the case of Na VI, the work of Naqvi [1]. Malville and

Berger [2], and Froese [3]. For the selection of values, the same considerations as for Navi are

applied, the one exception being that Froese's magnetic dipole values are also used. Since the

observed energy levels are uncertain, it is felt that the “spin-orbit'" and “spin-spin and spin-otherorbit” integrals £ and 17 calculated from her theoretical energy levels will be as accurate as the

experimental ones.

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M., and Berger, R. A.. Planetary and Space Science 13, 1131 (1965).

[3] Froese, C., Astrophys. J. 145, 932 (1966).

64
AlviII. Forbidden Transitions

No.

Transition

Array Multiplet A (A) Ei (cm ') Ek ( cm-') gi gk

Type of

Transition /Li (sec ') S( at.u.)

Accuracy Source

1 2

p'z — 2p- 3 P — :t P

[57456] 0 1740 1 3 m 0.0948 2.00 A 1, 3

[22516] 0 4440 1 5 e 1.38 x 10~fi 0.0237 C 3

[37027] 1740 4440 3 5 m 0.265 2.49 B 1, 3

[37027] 1740 4440 3 5 e 2.55 X 10-7 0.053 C 3

2 Aj l 6

[2141.1] 0 [46690] 1 5 e 2.5 X 10-4 3.4 X 10-5 D 3

[2224.0] 1740 [46690] 3 5 m 3.34 0.0068 C 1, 2, 3

[2224.0] 1740 [46690] 3 5 e 8.6 X 10-4 1.4 X lO"4 D 3

[2366.1] 4440 [46690] 5 5 m 8.3 0.0204 C 1, 2, 3

[2366.1] 4440 [46690] 5 5 e 0.0044 9.8 X lO"4 D 3

3

:! P — 1 s

[1059.0] 1740 [96170] 3 1 m 92 0.00407 C 2, 3

[1090.2] 4440 [96170] 5 1 e 0.088 8.1 X 10~5 D 3

4 >D-'S

[2020.4] [46690] [96170] 5 1 e 4.79 0.096 C 3

A1 ix

Ground State \s-2s~2p 2 P?/2

Ionization Potential 330.1 eV = 2663340 cm-1 Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

60.896 11 305.10 2 397.24 7 61.069 11 308.01 6 397.61 7 61.078 11 308.23 6 433.97 9

66.621 10 316.86 4 434.42 9

66.839 10 318.56 4 439.68 9

280.15 3 321.11 4 440.14 9

282.52 3 384.59 5 603.21 8

284.04 3 384.85 5 614.29 8

286.48 3 385.03 1 614.97 8

300.62 2 392.42

L

1

Values for the majority of the transitions are calculated from the nuclear charge-expansion

method of Cohen and Dalgarno [1], which includes limited configuration mixing. Graphical comparisons with other data for the lower ions of this isoelectronic sequence indicate that the uncertainties should be within 50 percent.

For the 2p

2 P° — 3s 2 S and 2p

2 P° —

3

d

2 D multiplets we have obtained data by exploiting the

dependence of /-values on nuclear charge: In these cases accurate data for several other ions of

the boron sequence are available from extended self-consistent field calculations by Weiss [2] in

which configuration mixing is fully included. Utilizing those values, which are also supported by

some experimental results on lower ions, we have obtained the /-values of the two transitions simply

by graphical interpolation.

References

[1] Cohen. M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258—270 (1964).

[2] Weiss, A. W., private communication (1967).

65
A1 IX. Allowed Transitions

No. Transition

Array

Multiplet X(A) Ej(cm') £V(cm-') £a- /Ia- ,(10* sec ’) A S(at.u.) Accuracy

Source

1 2s22p — 2s2p2 2 po_ 2 D 389.92 3260 259720 6 10 21 0.079 0.61 -0.32 D 1

[392.42] 4890 259720 4 .6 21 0.072 0.37 -0.54 D Is [385.03] 0 259720 2 4 18 0.079 0.20 -0.80 D Is [392.42] 4890 259720 4 4 3.4 0.0079 0.041 -1.50 E Is

2 2p°_2g 303.59 3260 332650 6 2 87 0.040 0.24 -0.62 D + 1

[305.10] 4890 332650 4 2 57 0.040 0.16 -0.80 D + Is [300.62] 0

' 332650 2 2 30 0.040 0.080 -1.10 D + Is

3 2p° 2p 283.53 3260 355953 6 6 160 0.20 1.1 0.08 D + 1

[284.04] 4890 356950 4 4 130 0.16 0.61 -0.19 D + Is [282.52] 0 353960 2 2 110 0.13 0.24 -0.59 D + Is [286.48] 4890 353960 4 2 52 0.032 0.12 -0.89 D Is [280.45] 0 356950 2 4 28 0.065 0.12 -0.89 D Is

4 2s2p2 — 2pA 4 P- 4 S° 319.54 [148963] [461910] 12 4 150 0.077 0.97 -0.03 D + 1

[321.11] [150490] [461910] 6 4 75 0.077 0.49 -0.34 D + Is [318.56] [148000] [461910] 4 4 50 0.076 0.32 -0.52 D + Is [316.86] [146310] [461910] 2 4 25 0.077 0.16 -0.81 D + Is

5

2 D — 2 D° 384.75 259720 519632 10 10 43 0.095 1.2 -0.02 D + 1

[384.85] 259720 519560 6 6 40 0.088 0.67 -0.28 D + Is [384.59] 259720 519740 4 4 38 0.085 0.43 -0.47 D + Is [384.59] 259720 519740 6 4 4.3 0.0063 0.048 -1.42 E Is [384.85] 259720 519560 4 6 2.8 0.0095 0.048 -1.42 E Is

6 2J) _ 2p° 308.08 259720 584310 10 6 70 0.060 0.61 -0.22 D 1

[308.01] 259720 584390 6 4 64 0.061 0.37 -0.44 D Is [308.23] 259720 584150 4 2 69 0.049 0.20 -0.71 D Is [308.01] 259720 584390 4 4 7.1 0.010 0.041 -1.40 E Is

7 2g _2p° 397.36 332650 584310 2 6 13 0.095 0.25 -0.72 D 1

[397.24] 332650 584390 2 4 14 0.063 0.17 -0.90 D Is [397.61] 332650 584150 2 2 13 0.032 0.083 -1.19 D Is

8 2p _ 2J)o 610.95 355953 519632 6 10 11 0.099 1.2 -0.23 D 1

[614.97] 356950 519560 4 6 10 0.089 0.72 -0.45 D Is [603.21] 353960 519740 2 4 9.2 0.10 0.40 -0.70 D Is [614.29] 356950 519740 4 4 1.7 0.0099 0.080 -1.40 E Is

9 2p __ 2po 437.91 355953 584310 6 6 44 0.13 1.1 -0.11 D 1

[439.68] 356950 584390 4 4 36 0.11 0.61 -0.36 D Is [434.42] 353960 584150 2 2 30 0.084 0.24 -0.77 D Is [440.14] 356950 584150 4 2 14 0.021 0.12 -1.08 D- Is [433.97] 353960 584390 2 4 7.4 0.042 0.12 -1.08 D- Is

10 2p — ('S)3s 2p°_ 2g 66.766 3260 1501020 6 2 1000 0.023 0.030 -0.86 C interp

[66.839] 4890 1501020 4 2 680 0.023 0.020 -1.04 C Is [66.621] 0 1501020 2 2 340 0.023 0.010 -1.34 C Is

11 2p — ('S)3c? 2 p° 2p 61.012 3260 1642284 6 10 6700 0.62 0.75 0.57 C interp

[61.069] 4890 1642380 4 6 6700 0.56 0.45 0.35 C Is [60.896] 0 1642140 2 4 5600 0.62 0.25 0.09 C Is [61.078] 4890 1642140 4 4 1100 0.062 0.050 -0.61 D Is

66
A1 ix.

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [11. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1]

Naqvi, A. M., Thesis Harvard (1951).

A1 ix. Forbidden Transitions

No.

Transition

Array Multiplet mA| Ej( cm ') £Y(cm ’) Hi AT Type of

Transition Aa-/ (sec ') S(at.u.)

Accuracy Source

1 2p — {'S)2p ic *00 1 1C -o 0 [20444] 0 4890 2 4 m 1.05 1.33 A 1

A1 x

Ground State ls-’2s 2 is0

Ionization Potential 398.5 eV = 3215340 cm" 1

Allowed Transitions

Garstang and Shamey [1] have obtained the /-value for the intercombination line 2' So — 2

:i Pi

by calculating the ratio of this line against the resonance transition in the intermediate coupling

approximation and by using for the resonance line a value calculated according to Cohen and

Dalgarno’s method [2]. The data calculated from the charge-expansion method of Cohen and

Dalgarno, [2] which includes limited configuration mixing, are estimated to be usually accurate

to 50 percent or better, while the charge-expansion method of Naqvi and Victor [3] should be less

reliable when the effects of configuration interaction are strong, since these are neglected entirely.

In assigning the accuracy estimates for these methods as well as for the Coulomb approximation

we were to a great extent guided by studying the degree of fit of the data into the systematic trends

along isoelectronic sequences.

References

[1] Garstang, R. H., and Shamey, L. J., Astrophys. J. 148, 665-666 (1967).

[2] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

[3] Naqvi, A. M., and Victor, G. A., Technical Documentary Report No. RTD TDR-63-3118 (1964).

67
A1 X. Allowed Transitions

No. Transition

Array

Multi|ilet x(A) £i(cm ') £7, (cm ') g\ A/.- Akj( 1 0* sec

-

'

fk S(at.u.) log gf Accuracy

Source

1 2s--2s(-S)2p >S- 3 P°

[638.81] 0 [156540] 1 3 0.0026 4.7 x lO-5 9.6 X lO -3 -4.33 D In

2 'S-'P° [332.89] 0 300400 1 3 57 0.287 0.314 -0.54 C 2

3 2s2p—2p2 :ip° :sp 400.90 [758386] [407823] 9 9 49 0.12 1.4 0.03 D + 2

[401.19] [160200] [409460] 5 5 36 0.089 0.58 -0.35 D + Is [400.43 [156540] [406270] 3 3 13 0.030 0.12 -1.05 D- Is [406.39 [160200] [406270] 5 3 19 0.028 0.19 -0.85 D- Is [403.62 [156540] [404300] 3 1 49 0.040 0.16 -0.92 D- Is [395.38 [156540] [409460] 3 5 12 0.049 0.19 -0.83 D- Is [397.74] [154850] [406270] 1 3 17 0.12 0.16 -0.92 D- Is

4 ‘P° — 'D [673.67] 300400 448840 3 5 10 0.12 0.77 -0.44 D- 2

5 'P°-'S [395.46] 300400 553270 3 1 95 0.074 0.29 -0.65 E 2

6 2s2 — 2s( 2 S)3p 'S-'P0 [51.979] 0 1923850 1 3 4800 0.58 0.10 -0.24 E 3

7 2s2p — 2s( 2 S)3s 'P°-'S [63.134] 300400 1884330 3 1 380 0.0075 0.0047 -1.65 E 3

8 2s3s — 2s( 2 S)3p 'S-'P° [2529.6] 1884330 1923850 1 3 0.60 0.174 1.45 -0.76 C 3

9 2p3s — 2p( 2 P°)3p ip°_ ip [26659] 2090980 2094730 3 3 5.0 X 10—* 0.0054 1.41 -1.79 C ca

10 'P°-'D [1744.0] 2090980 2148320 3 5 1.93 0.147 2.53 -0.356 C ca

11 2s3p — 2s(-S)3d 'P°-'D [1462.0] 1923850 1992250 3 5 2.68 0.143 2.07 -0.368 c ca

12 2p3p — 2p( 2 P°)3d 'P-'D° [2175.1] 2094730 2140690 3 5 0.56 0.067 1.43 -0.70 c ca

13 'D-'F° [2285.5] 2148320 2192060 5 7 0.72 0.079 2.96 -0.403 c ca

A1 X

Forbidden Transitions

Naqvi’s calculations [1] are the only available source. The results for the 3 P° —3 P° transitions are essentially independent of the choice of the interaction parameters. For the 3 P° — ! P°

transitions, Naqvi uses empirical term intervals, i.e., the effects of configuration interaction should

be partially included.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

A1 X. Forbidden Transitions

No.

Transition

Array Multiplet mA) £i(cm ') £a( cm ') ffi gk

Type of

Transition zb; (sec ') S(at.u.)

Accuracy Source

1 2s2p — 2s (2S)2p S50 1 cc O [59156] [154850] [156540] 1 3 rn 0.0869 2.00 A 1 [27315] [156540] [160200] 3 5 m 0.662 2.50 A 1

2 3p° _ ip°

[687.05] [154850] 300400 1 3 m 17.5 6.3 X 10—4 C 1 [695.12] [156540] 300400 3 3 m 710 0.0266 c 1 [713.27] [160200] 300400 5 3 m 19.6 7.9 X lO -4 c 1

68
A1 xi

Ground State ls 2 2s 2 S 1/2

Ionization Potential 441.9 eV= 3564900 cm -1

Allowed Transitions

For the transition 2s — 2p, the charge-expansion calculation of Cohen and Dalgarno [1] is chosen. An uncertainty of less than 10 percent is indicated from the graphical comparison of this

value with the other material for the same transition within the isoelectronic sequence. Data for

the other listed transitions have been obtained from the Coulomb approximation. Plots of the

dependence of the/value on nuclear charge for all these transitions have been made and show that

this material connects up very smoothly with the data for the lower ions as well as with the hydrogenic value for infinite nuclear charge. Based on this impressive agreement, accuracies of 10

percent (or 25 percent for some of the smaller values) are indicated.

Reference

[]] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

A1 XI. Allowed Transitions

No. Transition

Array

Multiplet \(A) £,(cm-') Ek{cm ') gf A'a- /<*,-( 10" sec ') u S(at.u.) log gf AccuracySource

1 2s — 2p 2 S _ 2 po 556.03 0 179847 2 6 8.35 0.116 0.425 -0.634 B 1

[549.99] 0 181820 2 4 8.62 0.0782 0.283 -0.806 B Is [568.50] 0 175900 2 2 7.83 0.0379 0.142 -1.120 B Is

2 2s -3p •> S _2P

° 48.311 0 2069937 2 6 3140 0.330 0.105 -0.180 B ca

[48.297] 0 2070520 2 4 3150 0.220 0.0700 -0.357 B Is [48.338] 0 2068770 2 2 3140 0.110 0.0350 -0.658 B Is

3 2p — 3s 2p°__2g 54.330 179847 2020460 6 2 1460 0.0215 0.0231 -0.889 B ca

[54.388] 181820 2020460 4 2 970 0.0215 0.0154 -1.066 B Is [54.213] 175900 2020460 2 2 490 0.0216 0.00770 -1.365 B Is

4 2p—3d 2 P°_ 2£) 52.398 179847 2088316 6 10 9800 0.672 0.696 0.606 B ca

152.446] 181820 2088540 4 6 9780 0.605 0.418 0.384 B Is [52.299] 175900 2087980 2 4 8210 0.674 0.232 0.130 B Is [52.461] 181820 2087980 4 4 1630 0.0672 0.0464 -0.571 B Is

5 2p — 4d 2 p° 2jy [39.150] 179847 2734140 6 10 3210 0.123 0.095 -0.132 C + ca

6 3s — 3p 2 g _ 2 P

° 2020.5 2020460 2069937 2 6 1.06 0.194 2.58 -0.410 B ca

[1997.6] 2020460 2070520 2 4 1.09 0.131 1.72 -0.582 B Is [2069.3] 2020460 2068770 2 2 0.983 0.0631 0.860 -0.900 B Is

7 3p — 3d 2 P°_2[) 5439.5 2069937 2088316 6 10 0.0424 0.0314 3.37 -0.725 B ca

[5547.9] 2070520 2088540 4 6 0.0399 0.0276 2.02 -0.957 B Is [5204.2] 2068770 2087980 2 4 0.0402 0.0327 1.12 -1.184 B Is [5725.8] 2070520 2087980 4 4 0.00607 0.00298 0.225 -1.924 B Is

8

| 3p — 4d to T

o 1 a [150.56] 2069937 2734140 6 10 1020 0.58 1.72 0.54 C + ca

69
A1 xii

Ground State Is2 'So

Ionization Potential 2085.46 eV = 16825000 cm- '

Allowed Transitions

The values for this ion are calculated from the charge-expansion method of Dalgarno and

Parkinson [1]. From comparisons with the more refined variational calculations by Weiss [2]

for lower members of this isoelectronic sequence, uncertainties are estimated not to exceed

10 percent. It should be pointed out that essentially identical results are obtained by extrapolating

the data of Weiss towards the high members of the isoelectronic sequence (see fig. I [2]).

References

[1] Dalgarno. A., and Parkinson, E. M., Proc. Roy. Soc. London A301, 253-260 (1967).

[2] Weiss, A. W., J. Research Nat. Bur. Standards 71A, 163-168 (1967).

A1 XII. Allowed Transitions

No. Transition

Array

Multiplet MA) £,(cm ') £7 (cm ') & A 4a,(10

h see

-1

) Jik- S(at.u.) •<>g gf Accuracy

Source

1 Is2 — ls2p 'S-'P° [7.7568] 0 12891900 1 3 2.78 x 105 0.752 0.0192 -0.124 B 1

2 Is2 — ls3p >S-'P° [6.6345] 0 15072700 1 3 7.72 X 104 0.153 0.00334 -0.815 B 1

3 Is2 — ls4p to 1 "V0 [6.3137] 0 15838600 1 3 3.19 x 104 0.0573 0.00119 -1.242 B 1

70
SILICON

Si h

Ground State Js22s2 2p6 3s23p2 :5 P0

Ionization Potential 8.151 eV = 65747.5 cm" 1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

2207.98 2 4947.61 25 7970.31 31

2210.89 2 5006.06 24 8035.62 31

2211.74 2 5597.94 17 8074.57 31

2216.67 2 5622.22 17 8093.24 32

2218.06 2 5645.61 61 8680.08 27

2218.92 2 5665.55 16 9413.51 14

2438.77 4 5684.48 17 10288.9 11 2443.36 4 5690.43 16 10371.3 11 2452.12 4 5701.11 16 10585.1 11 2506.90 3 5708.40 16 10603.4 10

2514.32 3 5754.22 16 10661.0 10

2516.11 3 5772.15 20 10689.7 28

2519.20 3 5780.38 15 10694.3 28

2524.11 3 5793.07 15 10727.4 28

2528.51 3 5797.86 15 10749.4 10

2881.58 6 5806.28 15 10784.6 28

2970.36 5 5859.20 15 10786.9 10

2987.65 5 5872.71 15 10827.1 10

3006.74 1 5948.55 19 10843.9 26

3020.00 1 6331.95 18 10869.5 13

3905.52 8 6518.73 35 10882.8 28

4102.94 7 6553.9 35 10976.3 28

4721.57 23 6555.46 35 10979.3 10

4738.83 23 6560.56 35 11984.2 9

4747.99 22 6624.2 35 11991.6 9

4755.28 22 6631.05 35 12031.5 9

4772.79 22 6721.85 33 12103.5 9

4782.99 23 6976.52 34 12270.7 9

4792.21 22 7003.57 34 12395.8 9

4792.32 22 7005.88 34 15361.2 29

4805.44 21 7016.74 34 15557.8 29

4817.59 22 7083.95 34 15884.4 29

4818.06 21 7097.47 34 15888.4 12 4821.17 21 7680.27 30 15960.0 29

4823.31 21 7918.39 31 16060.0 29

4866.88 21 7932.35 31 16094.8 29

4869.07 21 7944.00 31

The results of the intermediate coupling calculations by Garstang and Dawe [1] for two intercombination lines in the 3s23p2 — 3s3p'5 array should be quite uncertain, since these authors have

normalized their values by means of a transition integral averaged from the Coulomb approximation and Varsavsky’s [6] screening approximation, which do not contain the important configuration interaction effects. The lifetime measurements of Savage and Lawrence [2, 3] with

the phase shift technique provide an accurate absolute scale for several other transitions. The
intermediate coupling calculations of Lawrence [3] and the results of the anomalous dispersion

experiment of Slavenas [4] have been normalized to this scale. The two normalized sets of data

agree within a few percent. Finally, numerical values are available for two lines from the wallstabilized arc experiment of Hey [5]; but the uncertainties are hardly smaller than 50 percent

because of the occurrence of demixing effects in this type of arc, which were not taken into account.

Since the above-listed sources provide data for only nine multiplets, the Coulomb approximation has been extensively applied to this spectrum in order to have many prominent lines

represented. On the basis of the comparison material available for analogous transitions of neighboring atoms and on the basis of the general success of the Coulomb approximation, accuracy

assignments of 50 percent are normally indicated for the selected lines. But, in as much as these

comparisons are quite insufficient, the present assignments can only be regarded as provisional,

especially since deviations from LS-coupling may be expected for the individual lines, too.

References

[1] Garstang, R. H., and Dawe, J. A., The Observatory 82, 210-211 (1962).

[2] Savage. B. D. and Lawrence, G. M., Astrophys. J. 146, 940-943 (1966).

[3] Lawrence, G. M., Astrophys. J. 148, 261-268 (1967).

[4] Slavenas, I. Yu. Yu., Optics and Spectroscopy (U.S.S.R.) 16, 214-216 (1964).

15] Hey, P„ Z. Fhysik 157, 79-88 (1959).

[6] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, #53, 75 (1961).

Si I. Allowed Transitions

N<». Transition

Array

Multiplet a(A) Ei( cm-') £A (cm-') Hk /!/,;( 10* sec

-1

) Jik S(at.u.) xf Accuracy

Source

1 3s'23p- — :i P — r> S°

3s3p:i (0.01)

3020.00 223 33326 5 5 3.3 X 10-5 4.5 x 10 8 2.2 X 10-4 - 4.65 E 1 3006.74 77 33326 3 5 1.1 X 10-s 2.5 x 10 -* 7.4 X 10-5 - 5.12 E 1

2

:i P — :! D° 2214.7 150 45303 9 15 0.55 0.068 4.46 - 0.213 C 2

(liv 3 ) 2216.67 223 45322 5 7 0.55 0.057 2.08 - 0.55 C Is 2210.89 77 45294 3 5 0.416 0.051 1.11 - 0.82 C Is 2207.98 0 45276 1 3 0.311 0.068 0.496 - 1.167 C Is 2218.06 223 45294 5 5 0.138 0.0102 0.372 - 1.292 C Is 2211.74 77 45276 3 3 0.232 0.0170 0.372 - 1.292 C Is 2218.92 223 45276 5 3 0.015 6.8 x 10-4 0.025 - 2.47 E Is

3 3p- — 3p

•ip _ :ip° 2518.3 150 39860 9 9 1.64 0.155 11.6 0.145 c + 3 An

( 2 P°)4s (UV 1) 2516.11 223 39955 5 5 1.21 0.115 4.76 - 0.240 c + 3 , 4n 2519.20 77 39760 3 3 0.422 0.0402 1.00 - 0.92 c + 3 An

2528.51 223 39760 5 3 0.69 0.0394 1.64 - 0.71 c + 3, 4n

2524.11 77 39683 3 1 1.66 0.053 1.32 - 0.80 c + 3 , 4n 2506.90 77 39955 3 5 0.417 0.065 1.62 - 0.71 c + 3 An

2514.32 0 39760 1 3 0.55 0.157 1.30 - 0.80 c + 3 , 4n

4

:sp l p°

(UV 2) 2452.12 223 40992 5 3 0.0060 3.2 x 10-4 0.013 - 2.80 D- 3

2443.36 77 40992 3 3 0.0069 6.2 x 10-4 0.015 - 2.73 D- 3

2438.77 0 40992 1 3 0.0074 0.0020 0.016 - 2.70 D- 3

5

1 D—3 P°

n \

(

) 2970.36 6299 39955 5 5 2.3 x 10-4 3.1 x 10 -4 0.0015 - 3.81 D 3

2987.65 6299 39760 5 3 0.022 0.0018 0.088 - 2.05 D 3

6

1 D — 1 P° 2881.58 6299 40992 5 3 1.75 0.131 6.2 - 0.184 C 3. 4n

(UV 43)

7 'S- :! P°

(2) 4102.94 15394 39760 1 3 0.0016 0.0012 0.017 - 2.91 D 3,5

72
Si I . Allowed Transitions — Continued

No. Transition Multiplet A( A) dicin' 1 ) ^(cm ') P/ Pa- //a-;(10

k sec* 1 ) Jik .Slat.u.) l'*P p/' Aceu- Source

Array racy

8 'S-'P0 3905.52 15394 40992 1 3 0.145 0.100 1.28 -1.000 C 3

(3)

9 3p4s — :i P°—:! D 12047 39860 48161 9 15 0.17 0.61 220 0.74 D ca

3p(2 P°)4p (4)

12031.5 39955 48264 5 7 0.17 0.52 100 0.41 D Is 11984.2 39760 48102 3 5 0.13 0.46 54 0.14 D Is 11991.6 39683 48020 1 3 0.094 0.61 24 -0.21 D Is 12270.7 39955 48102 5 5 0.040 0.091 18 -0.34 D Is 12103.5 39760 48020 3 3 0.068 0.15 18 -0.35 D Is 12395.8 39955 48020 5 3 0.0043 0.0060 1.2 -1.52 E Is

10 :sp° :sp (5)

10790 39860 49128 9 9 0.22 0.39 130 0.55 D ca

10827.1 39955 49189 5 5 0.17 0.29 52 0.16 D Is 10749.4 39760 49061 3 3 0.056 0.097 10 -0.54 D- Is 10979.3 39955 49061 5 3 0.089 0.097 18 -0.31 D- Is 10786.9 39760 49028 3 1 0.22 0.13 14 -0.41 D- Is 10603.4 39760 49189 3 5 0.057 0.16 17 -0.32 D- Is 10661.0 39683 49061 1 3 0.076 0.39 14 -0.41 D- Is

11 • ! P°- :i S 10482 39860 49400 9 3 0.24 0.13 40 0.07 D ca

(6)

10585.1 39955 49400 5 3 0.13 0.13 23 -0.19 D Is 10371.3 39760 49400 3 3 0.081 0.13 13 -0.41 D Is 10288.9 39683 49400 1 3 0.027 0.13 4.4 -0.89 D Is

12 ipo_ ip

(11.12)

15888.4 40992 47284 3 3 0.081 0.31 48 -0.03 D ca

13 >P°-'D 10869.5 40992 50189 3 5 0.23 0.67 72 0.30 D ca

(13)

14 'P°-'S 9413.51 40992 51612 3 1 0.27 0.12 11 -0.44 D ca

(14)

15 3p4s — ! P° — :i D 5800.9 39860 57094 9 15 0.017 0.015 2.5 -0.87 D ca 3p( 2 P°)5p (9)

5797.86 39955 57198 5 7 0.018 0.013 1.2 -1.19 D Is 5793.07 39760 57017 3 5 0.013 0.011 0.62 -1.48 D Is 5780.38 39683 56978 1 3 0.0098 0.015 0.28 -1.82 D Is 5859.20 39955 57017 5 5 0.0042 0.0022 0.21 -1.96 E Is 5806.28 39760 56978 3 3 0.0072 0.0037 0.21 -1.95 E Is 5872.71 39955 56978 5 3 4.7 X 10-4 1.4 X 10-4 0.014 -3.15 E Is

16 :ip° :tp 5698.7 39860 57403 9 9 0.038 0.018 3.1 -0.79 D ca

(10)

5708.40 39955 57468 5 5 0.028 0.014 1.3 -1.15 D Is 5690.43 39760 57329 3 3 0.0095 0.0046 0.26 -1.86 D- Is 5754.22 39955 57329 5 3 0.015 0.0045 0.43 -1.65 D- Is 5701.11 39760 57296 3 1 0.037 0.0060 0.34 -1.74 D- Is 5645.61 39760 57468 3 5 0.0097 0.0077 0.43 -1.64 D- Is 5665.55 39683 57329 1 3 0.013 0.018 0.34 -1.74 D- Is

17 3P°- 3 S 5653.9 39860 57542 9 3 0.049 0.0078 1.3 -1.15 D ca

(11)

5684.48 39955 57542 5 3 0.026 0.0077 0.72 - 1.41 D Is 5622.22 39760 57542 3 3 0.016 0.0077 0.43 -1.64 D Is 5597.94 39683 57542 1 3 0.0054 0.0076 0.14 -2.12 D Is

18 lp°_ ip

(14.01)

6331.95 40992 56780 3 3 1.0 X 10 4 6.1 X 10-5 0.0038 -3.74 E ca

19 'P°-'D 5948.55 40992 57798 3 5 0.022 0.019 1.1 -1.24 D 5

(16)

20 . P

°_i S 5772.15 40992 58312 3 1 0.081 0.014 0.77 -1.38 D ca

(17)

73
Si I. Allowed Transitions — Continued

No. Transition

Array

Multiplet a(A) £i(cm “ 1 ) Ei, (vm ') Mi /4a;(10

k sec '] jik S(at.u.) *<>£ mJ Acc-u racy

Source

21 3p4s — :i P°- :i D 4822.1 39860 60592 9 15 0.011 0.0062 0.89 -1.25 D ca 3p( 2 P°)6p (11.04)

4818.06 39955 60705 5 7 0.011 0.0053 0.42 -1.58 D Is 4821.17 39760 60496 3 5 0.0080 0.0046 0.22 -1.86 D Is 4805.44 39683 60487 1 3 0.0060 0.0063 0.099 -2.20 D Is 4866.88 39955 60496 5 5 0.0026 9.2 X 10-4 0.074 -2.34 E Is 4823.31 39760 60487 3 3 0.0045 0.0016 0.074 -2.32 E Is 4869.07 39955 60487 5 3 2.9 X 10-4 6.1 X 10-5 0.0049 -3.52 E Is

22 0 1 "S 4783.8 39860 60758 9 9 0.023 0.0078 1.1 -1.15 D ca

(11.05)

4792.32 39955 60816 5 5 0.017 0.0058 0.46 -1.54 D Is 4772.79 39760 60707 3 3 0.0057 0.0020 0.092 -2.22 D- Is 4817.59 39955 60707 5 3 0.0091 0.0019 0.15 -2.02 D- Is 4792.21 39760 60622 3 1 0.022 0.0025 0.12 -2.12 D- Is 4747.99 39760 60816 3 5 0.0057 0.0032 0.15 -2.02 D- Is 4755.28 39683 60707 1 3 0.0075 0.0077 0.12 -2.11 D- Is

23 :, P° — :s S 4761.3 39860 60857 9 3 0.030 0.0034 0.48 -1.51 D ca

(11.06)

4782.99 39955 60857 5 3 0.017 0.0034 0.27 -1.77 D Is 4738.83 39760 60857 3 3 0.010 0.0034 0.16 -1.99 D Is 4721.57 39683 60857 1 3 0.0034 0.0034 0.053 -2.47 D Is

24 0 1 6 5006.06 40992 60962 3 5 0.028 0.018 0.88 -1.27 D ca

(17.08)

25 ip°_i S 4947.61 40992 61198 3 1 0.042 0.0051 0.25 -1.82 D ca

(17.09)

26 3p4p — .p_. D

° 10843.9 47284 56503 3 5 0.16 0.48 51 0.16 D ca 3p(-P°)4d (31)

27 ip _ ipo 8680.08 47284 58802 3 3 1.9 X 10-4 2.1 X 10-4 0.018 -3.20 E ca

(32.02)

28 ! D - :ip° 10720 48161 57489 15 21 0.13 0.32 170 0.68 D ca

(53)

10727.4 48264 57584 7 9 0.12 0.26 64 0.26 D Is 10694.3 48102 57451 5 7 0.12 0.28 49 0.15 D Is 10689.7 48020 57372 3 5 0.12 0.33 35 0.00 D Is 10882.8 48264 57451 7 7 0.015 0.026 6.5 -0.74 E Is 10784.6 48102 57372 5 5 0.022 0.038 6.7 -0.72 E Is 10976.3 48264 57372 7 5 5.5 x 10-4 7.1 X 10-4 0.18 -2.30 E Is

29 3p4p — • ! D — :! P° 15960 48161 54425 15 9 0.083 0.19 150 0.45 D ca

3p( 2 P°)5s (42.21)

15960.0 48264 54528 7 5 0.070 0.19 70 0.12 D Is 16094.8 48102 54314 5 3 0.060 0.14 37 -0.15 D Is 16060.0 48020 54245 3 1 0.083 0.11 17 -0.48 D Is 15557.8 48102 54528 5 5 0.013 0.047 12 -0.63 D Is 15884.4 48020 54314 3 3 0.020 0.076 12 -0.64 D Is 15361.2 48020 54528 3 5 9.3 x 10-4 0.0055 0.83 -1.78 E Is

30 3p4p — "0 1 6o 7680.27 47284 60301 3 5 0.062 0.092 7.0 -0.56 D ca 3p(-P°)5d (36)

31 0 Q 1Uh 7941 .6 48161 60753 15 21 0.063 0.083 33 0.10 D ca

(57)

7944.00 48264 60849 7 9 0.049 0.059 11 -0.38 D Is 7932.35 48102 60705 5 7 0.054 0.071 9.3 -0.45 D Is 7918.39 48020 60645 3 5 0.054 0.085 6.6 -0.59 D Is 8035.62 48264 60705 7 7 0.0067 0.0065 1.2 -1.34 E Is 7970.31 48102 60645 5 5 0.010 0.0096 1.3 -1.32 E Is 8074.57 48264 60645 7 5 2.7 X 10-4 1.9 x 10-4 0.035 -2.88 E Is

32 3p4p — 1 *0o 8093.24 47284 59637 3 3 0.015 0.015 1.2 -1.35 D ca

3p( 2 P°)65 (34)

74
Si I. Allowed Transitions — Continued

No. Transition

Array

Multiplet X(A) £i(cnr') Fa (cm-') gi gk Ai;j{ 10K sec-'

)

fk ,S(at.u.) l‘>g gf Accuracy

Source

33 3p4p — X 1 a

o 6721.85 47284 62157 3 5 0.034 0.038 2.5 -0.94 D ca 3p(-P°)6d (38)

34 a 1 X

o 7004.3 48161 62438 15 21 0.027 0.028 9.7 -0.38 D ca

(60)

7005.88 48264 62534 7 9 0.027 0.026 4.2 -0.74 D Is 7003.57 48102 62377 5 7 0.024 0.025 2.9 -0.90 D Is 6976.52 48020 62350 3 5 0.023 0.028 1.9 -1.08 D Is 7083.95 48264 62377 7 7 0.0029 0.0022 0.36 -1.81 D- Is 7016.74 48102 62350 5 5 0.0042 0.0031 0.36 -1.81 D- Is 7097.47 48264 62350 7 5 1.1 x io- 4 6.1 X lO"5 0.010 -3.37 E Is

35 3pAp — ;! D - :i F° 6552.1 48161 63419 15 21 0.0069 0.0062 2.0 -1.03 D- ca 3p(-P°)7d (60.06)

6555.46 48264 63515 7 9 0.0069 0.0057 0.86 -1.40 D- Is 6560.56 48102 63341 5 7 0.0060 0.0055 0.59 -1.56 D- Is 6518.73 48020 63356 3 5 0.0059 0.0062 0.40 -1.73 D- Is 6631.05 48264 63341 7 7 7.3 X 10- 4 4.8 X 10- 4 0.074 -2.47 E Is [6553.9] 48102 63356 5 5 0.0011 6.9 x 10~4 0.074 -2.46 E Is [6624.2] 48264 63356 7 5 2.9 X 10- 5 1.4 X 10-5 0.0021 -4.01 E Is

Si i Forbidden Transitions

The sources adopted for this ion are Naqvi [1], and Malville and Berger [2]. Malville and

Berger have utilized “spin-orbit” and “spin-spin and spin-other-orbit” integrals by Garstang

(Monthly Notices Roy. Astron. Soc. Ill, 115 (1951)). Naqvi’s and Malville and Berger’s magnetic

dipole transitions have generally been averaged since their methods are very similar. But for the

sp — 1 S transition, where configuration interaction is important, Malville and Berger’s value, which

is obtained empirically, has been preferred over that of Naqvi which is based purely on theory (see

also General Introduction). For the electric quadrupole moment s Q we have always employed

Malville and Berger’s results.

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M. and Berger, R. A., Planetary and Space Science 13, 1131-1136 (1965).

Sii. Forbidden Transitions

No.

Transition

Array Multiplet mA) F,(cm ') Fa- (cm ') gi gk

Type of

Transition Aa; (sec ') S ( at.u.)

Accuracy Source

1 3p-—3p2 :! P- ! P

[ 12.964 x 10s

] 0.000 77.115 1 3 m 8.25 X 10 _fi 2.00 A 1 [44.799 x 104

] 0.000 223.157 1 5 e 3.56 X 10-'° 19.1 C- 2 [68.455 X 104

] 77.115 223.157 3 5 m 4.20 X 10-5 2.50 A 1 [68.455 x 104

] 77.115 223.157 3 5 e 9.7 X 10-" 43.3 C- 1 , 2

2

:i P — 'D

(0.01F)

15871.6 0.00 6298.85 1 5 e 6.2 X 10- 7 0.0019 D- 2 16068.3 77.115 6298.85 3 5 m 9.7 x 10"4 7.5 X 10-4 C 1 , 2 16068.3 77.115 6298.85 3 5 e 4.0 x 10-fi 0.013 D- 1, 2 16454.5 223.157 6298.85 5 5 m 0.00271 0.00224 C 1. 2 16454.5 223.157 6298.85 5 5 e 2.5 X 10“5 0.091 D— 1. 2

308-022 0- 69—8

75
Si I. Forbidden Transitions — Continued

No.

Transition

Array Multiplet N( A) Ej (cm ') £7,- (cm ') Pi Ek

Type of

Transition Aa; (sec ') S(at.u.)

Accuracy Source

3

;! p_i S

(IF)

6526.78 77.115 15394.4 3 1 m 0.0355 3.66 X 10-4 c- 2

6589.61 223.157 15394.4 5 1 e 0.0011 0.0084 D- 2

4 >D-'S

(2F) 10991.4 6298.85 15394.4 5 1 e 0.80 76 D- 2

Sill

Ground State ls2 2s 2 2pH 3s 2 3p

2 P°/2

Ionization Potential 16.35 eV= 131838.4 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

989.867 8 2072.7 13 4128.07 15

992.675 8 2072.70 13 4130.89 15

992.69 8 2328.51 1 4130.9 15

1020.70 9 2334.40 1 4621.5 26

1023.69 9 2334.61 1 4896.8 31

1190.42 4 2344.20 1 4902.65 31

1193.28 4 2350.17 1 5041.03 19

1194.50 4 2500.93 17 5055.98 19

1197.39 4 2501.97 17 5056.31 19

1246.74 5 2502.0 17 5113.17 14

1248.43 5 2608.90 10 5466.6 25

1251.16 5 2612.99 10 5568.36 30

1260.42 6 2620.89 10 5575.97 30

1264.73 6 2722.25 23 5957.56 20

1265.02 6 2726.70 23 5978.93 20

1304.37 3 2904.28 16 6347.10 18

1309.27 3 2905.69 16 6371.36 18

1526.72 7 2905.7 16 6679.65 27

1533.45 7 3203.87 21 6818.45 28

1649.52 11 3210.0 21 6829.8 28

1654.30 11 3210.03 21 6829.82 28

1654.31 11 3333.14 22 7113.45 29

1808.00 2 3339.82 22 7125.84 29

1816.92 2 3853.66 12 7848.80 24

1817.45 2 3856.02 12 7849.7 24

2072.02 13 3862.60 12 7849.72 24

76
Aside from the Coulomb approximation, four theoretical sources have been selected which all employ the same basic principles, but with different degrees of refinement. Weiss’ [2] calculations

must be considered the most comprehensive ones since he has used the “superposition-of-configurations” approach with a large number of interacting configurations and Hartree-Fock wavefunctions as a starting point. Values have been calculated in both the dipole length and dipole

velocity approximations; the length values are chosen in all cases as being probably the more

reliable [2]. Garstang and Shamey [1], as well as Froese-Fischer [6], have carried out their calculations by including limited configuration interaction and using Hartree-Fock functions as a starting

point. Garstang and Shamey [1] have also taken into account intermediate coupling. Froese’s [5J results for the 3<7 — 5/ and 3t/ — 6/ transitions are based on self-consistent field calculations; however, her values are modified to account for configuration interaction with the 3s3p2 -D term by

multiplying them by the square of the mixing coefficient as given in Froese and Underhill [7J. Weiss’ values have always been chosen where available in preference to the other calculations.

Two experimental papers by Savage and Lawrence [3] and Hey [4] have also been utilized.

Savage and Lawrence [3] have carried out lifetime determinations of several states by means of

the phase shift technique. Of their numbers we have used only the value for the 4s state, which

is within a few percent of the theoretical result obtained by Weiss. Their measured lifetime of the

4f level is within 20 percent of the sum of the adopted theoretical transition probabilities for

3s3p2 —3s24f and 3s23d — 3s24/. The other lifetimes measured are either extremely short, so that

experimental errors become fairly large, or are not cascade-free (3c/-level) and hence have not been

used. Hey [4] has determined transition probabilities from intensity measurements in a wallstabilized arc. His absolute values may be uncertain by as much as 50 percent, primarily because

of the possible demixing effects. In those cases where theory and his experiment overlap, the results

have been averaged.

References

[1] Garstang, R. H., and Shamey, L. J., to be published in Proc. Symposium on Magnetic and Other Peculiar and Metallic- Line Stars.

[2] Weiss, A. W., to be published (1969).

[3] Savage, B. D., and Lawrence, G. M., Astrophys. J. 146, 940-943 (1966).

[4] Hey, P„ Z. Physik 157, 79-88 (1959).

[5] Froese, C., private communication (1965).

[6] Froese-Fischer, C., Astrophys. J. 151, 759-764 (1968).

[7] Froese, C., and Underhill, A. B., Astrophys., J. 146, 301-313 (1966).

Sill. Allowed Transitions

No. Transition Multiplet MA) Fi(cm~') Fa (cm 1 ) £/> /1a,(10

h sec" 1 ) Jik S(at.u.) log gf Accu- Source

Array racy

1 3s23p —3s3p2 2 po _ 4p

(UV0.01)

2334.61 287 43108 4 6 4.3 x 10~ 5 5.3 x 10 _H 1.6X10-4 -4.67 E 1 2328.51 0 42933 2 4 1.9 x 10 -i’ 3.1 x 10-'° 4.8xl0-! ’ -9.21 E 1 2344.20 287 42933 4 4 4.0 x 10- 5 3.3 x 10^ H 1.0X10-4 -4.88 E 1 2334.40 0 42824 2 2 1.1 x 10- 4 9.0 x 10~ K 1.4X10-4 -4.74 E 1 2350.17 287 42824 4 2 6.8 x 10- 5 2.8 x 10^ H 8.7X10-5 -4.95 E 1

2 2po 2p 1814.0 191 55319 6 10 0.078 0.0064 0.23 -1.42 E 2 (UV 1) 1816.92 287 55325 4 6 0.079 0.0059 0.14 -1.63 E Is 1808.00 0 55310 2 4 0.066 0.0064 0.077 -1.89 E Is 1817.45 287 55310 4 4 0.013 6.3 x 10- 4 0.015 -2.60 E Is

3

2 po_ 2 S 1307.6 191 76666 6 2 11 0.090 2.4 -0.27 D 2 (UV 3) 1309.27 287 76666 4 2 7.0 0.090 1.6 -0.44 D Is 1304.37 0 76666 2 2 3.6 0.091 0.78 -0.74 D Is

77
Sill. Allowed Transitions — Continued

No. Transition Mu 1 1 i

| > 1 e t X(A) £i(cnr') ^•(cm' 1 ) ft ft- /4a-,

10* sec ') Jik S(at.u.) •«>u a/' Accu- Source

Array racy

4

2 po 2p 1195.5 191 83837 6 6 43 0.91 22 0.74 D 2 (UV 5) 1194.50 287 84005 4 4 35 0.76 12 0.48 D Is 1193.28 0 83802 2 2 29 0.61 4.9 0.09 D Is 1197.39 287 83802 4 2 14 0.15 2.4 -0.22 D Is 1190.42 0 84005 2 4 7.2 0.31 2.4 -0.22 D Is

5 3s3p2 —3p:! 4 P

_4S

° 1249.5 43002 123034 12 4 38 0.29 14 0.54 D 2 (UV 8) 1251.16 43108 123034 6 4 19 0.29 7.2 0.24 D Is 1248.43 42933 123034 4 4 13 0.29 4.8 0.07 D Is 1246.74 42824 123034 2 4 6.3 0.29 2.4 -0.23 D Is

6 3s23p—3s2 ('S)3d 2|)° 2J) 1263.3 191 79349 6 10 30 1.2 30 0.85 D 2

(UV 4)

1264.73 287 79355 4 6 30 1.1 18 0.63 D Is 1260.42 0 79339 2 4 25 1.2 9.9 0.38 D Is 1265.02 287 79339 4 4 5.0 0.12 2.0 -0.32 E Is

7 3s23p—3s2('S)4s 2p°_2g 1531.2 191 65501 6 2 11.1 0.130 3.94 -0.108 C 2, 3

(UV 2) 1533.45 287 65501 4 2 7.4 0.130 2.63 -0.284 C Is 1526.72 0 65501 2 2 3.73 0.130 1.31 -0.59 C Is

8 3s23p—3s2 (‘S)4of 2po_2£) 991.74 191 101024 6 10 8.0 0.20 3.9 0.08 D 2

(UV 6) 992.675 287 101025 4 6 8.0 0.18 2.3 -0.15 D Is 989.867 0 101023 2 4 6.7 0.20 1.3 -0.40 D Is [992.69] 287 101023 4 4 1.3 0.020 0.26 -1.10 E Is

9 3s23p—3s2('S)5s 2p° 2g

(UV 5.01)

1022.7 191 97972 6 2 4.1 0.021 0.43 -0.90 D 6

1023.69 287 97972 4 2 2.7 0.021 0.29 -1.08 D Is 1020.70 0 97972 2 2 1.3 0.021 0.14 -1.38 D Is

10 3s3p2 —3s2('S)4p 4p_2po

2620.89 43108 81252 6 4 1.6 x 10- 4 1.1 x to- 5 5.7X10 4 -4.18 E 1 2612.99 42933 81192 4 2 2.9 x 10- 5 1.5 x 10“ K 5.2X10 '• -5.22 E 1 2608.90 42933 81252 4 4 2.9 x 10 _fi 3.0 X 10- 7 l.OxlO- ’ -5.92 E 1

11 3s3p2 —3s2('S)4/ 4p_2po

1654.31 43108 103556 6 8 4.6 x 10- 4 2.5 X 10“ 5 8.2X10-4 -3.82 E 1 1649.52 42933 103556 4 6 6.5 x 10- 5 4.0 X 10“ H 8.7X10-’ -4.80 E 1 1654.30 43108 103556 6 6 2.9 X 10“’ 1.2 x l0-« 3.9 x 10-’ -5.14 E 1

12 3s3p2 —3s2('S)4p 2J) _2po 3858.0 55319 81232 10 6 0.28 0.038 4.8 -0.43 D + 2. 4

(1) 3856.02 55325 81252 6 4 0.25 0.038 2.9 -0.65 D + Is 3862.60 55310 81192 4 2 0.28 0.031 1.6 -0.90 D + Is 3853.66 55310 81252 4 4 0.028 0.0062 0.32 -1.61 E Is

13 3s3p2 -3s2('S)4/ 2 D _2po 2072.4 55319 103556 10 14 1.0 0.092 6.3 -0.04 D 2

(UV 9) 2072.70 55325 103556 6 8 1.0 0.088 3.6 -0.28 D Is 2072.02 55310 103556 4 6 0.96 0.092 2.5 -0.43 D Is [2072.7] 55325 103556 6 6 0.068 0.0044 0.18 -1.58 E Is

14 2p 2p°

5113.17 84005 103556 4 6 1.3X 10“ 4 7.5 X 10-5 0.0050 -3.52 E 1

15 3s23rf-3s2('S)4/ 2[)_2po 4129.9 79349 103556 10 14 1.42 0.51 69 0.71 C 2, 4

(3) 4130.89 79355 103556 6 8 1.42 0.483 39.4 0.462 C Is 4128.07 79339 103556 4 6 1.32 0.51 27.6 0.310 c Is [4130.9] 79355 103556 6 6 0.094 0.024 2.0 -0.84 E Is

78
Sill. Allowed Transitions — Continued

No. Transition Multiplet A(A) £i(cnr') ftfcm ') Array

16 3s23d—3s2 ('S)5/ 2 J)_ 2po

(UV 17)

2905.2 79349 113760

2905.69 79355 113760

2904.28 79339 113760

[2905.7] 79355 113760

17 3s23d—3s2 ('S)6f 2j)_2jr°

(UV 18)

2501 .6 79349 119312

2501.97 79355 119312

2500.93 79339 119312

[2502.0] 79355 119312

18 3s24s—3s2('S)4p 2g 2p° 6355.

1

65501 81232

(2) 6347.10 65501 81252

6371.36 65501 81192

19 3s24p—3s2 ('S)4flf 2p° 2p 5051.1 81232 101024

(5) 5055.98 81252 101025

5041.03 81192 101023

5056.31 81252 101023

20 3.s 24p—3s2 ('S)5s 2p° 2g 5972.1 81232 97972

(4) 5978.93 81252 97972

5957.56 81192 97972

21 3s24p—

3

s

2('S)5g? 2po

2J) 3208.0 812321 112395

(7) 3210.03 81252 112395

3203.87 81192 112395

[3210.0] 81252 112395

22 3s24p —3s2 ('S)6s 2p°_2g 3337.6 81232 111185

(6) 3339.82 81252 111185

3333.14 81192 111185

23 3s24p—3s2('S)7.s

2 po_2g

(UV 19)

2725.3 81232 117915

2726.70 81252 117915

2722.25 81192 117915

24 3s24d—3s2('S)5/ 2j)_2jr° 7849.6 101024 113760

(7.02)

7849.72 101025 113760

7848.80 101023 113760

[7849.7] 101025 113760

25 3s24d-3s2('S)6f 1(M O Q 5466.6 101024 119312

(7.03)

26 3sHd-3s2('S)7f 2J)_2p-o 4621.5 101024 122656

(7.05)

27 3sHf—3s2('S)6d 2po_2J) 6679.65 103556 118523

(7.12)

28 3s25p—3s2('S)6d 2po_2J) 6826.4 103878 118523

(7.20)

6829.82 103886 118523

6818.45 103861 118523

[6829.8] 103886 118523

(a A'a- /1a'/(10

k sec ') fk 5(at.u.) tfj' Accuracy

Source

10 14 0.71 0.13 12 0.10 D 5, 7

6 8 0.71 0.12 6.9 -0.14 D Is 4 6 0.67 0.13 4.8 -0.29 D Is 6 6 0.048 0.0060 0.35 -1.44 E Is

10 14 0.41 0.054 4.4 -0.27 D 5, 7

6 8 0.41 0.051 2.5 -0.51 D Is 4 6 0.38 0.053 1.8 -0.67 D Is 6 6 0.027 0.0026 0.13 -1.82 E Is

2 6 0.70 1.26 53 0.401 C 2, 4

2 4 0.70 0.84 35.3 0.225 C Is 2 2 0.69 0.422 17.7 -0.074 C Is

6 10 1.2 0.74 74 0.65 D + 2, 4

4 6 1.2 0.66 44 0.42 D + Is 2 4 0.98 0.74 25 0.17 D 4- Is 4 4 0.19 0.074 4.9 -0.53 E Is

6 2 1.2 0.22 26 0.12 D 4, 6

4 2 0.81 0.22 17 -0.06 D Is 2 2 0.42 0.22 8.7 -0.36 D Is

6 10 0.46 0.12 7.5 -0.14 D ca

4 6 0.46 0.11 4.5 -0.37 D Is 2 4 0.39 0.12 2.5 -0.62 D Is 4 4 0.077 0.012 0.50 -1.32 E Is

6 2 0.46 0.026 1.7 -0.81 D ca

4 2 0.30 0.025 1.1 -1.00 D Is 2 2 0.15 0.025 0.55 -1.30 D Is

6 2 0.24 0.0089 0.48 -1.27 D ca

4 2 0.16 0.0089 0.32 -1.45 Is 2 2 0.080 0.0089 0.16 -1.75 D Is

10 14 0.42 0.54 140 0.73 D ca

6 8 0.42 0.51 80 0.49 D Is 4 6 0.39 0.54 56 0.33 D Is 6 6 0.028 0.026 4.0 -0.81 E Is

10 14 0.26 0.16 29 0.20 D ca

10 14 0.16 0.072 11 -0.14 D ca

14 10 0.014 0.0068 2.1 -1.02 D ca

6 10 0.13 0.15 20 -0.05 D ca

4 6 0.13 0.13 12 -0.27 D Is 2 4 0.11 0.15 6.7 -0.52 D Is 4 4 0.021 0.014 1.3 -1.25 E Is

79
Sill. Allowed Transitions — Continued

No. Transition Multiplet \(A) £,(em->) ^A-fcni- 1 ) & f<k /f a;( 10* sec ') fik S’(at.u.) log gf Aceu- Source

Array racy

29 3s25p — 3s2

( 1 S)7s 2po 2g 7122.1 103878 117915 6 2 0.15 0.038 5.3 -0.64 D ca

(7.19)

7125.84 103886 117915 4 2 0.098 0.037 3.5 -0.83 D Is 7113.45 103861 117915 2 2 0.051 0.038 1.8 -1.12 D Is

30 3s25p—3s2 ('S)8s 2po_2g 5573.5 103878 121815 6 2 0.088 0.014 1.5 -1.08 D- ca

(7.21)

5575.97 103886 121815 4 2 0.057 0.013 0.97 -1.28 D- Is 5568.36 103861 121815 2 2 0.029 0.013 0.49 -1.59 D- Is

31 3s25p—3s2('S)9s 2 po 2g 4900.8 103878 124277 6 2 0.053 0.0064 0.62 -1.42 D- ca

(7.23)

4902.65 103886 124277 4 2 0.035 0.0064 0.41 -1.59 D- Is [4896.8] 103861 124277 2 2 0.018 0.0065 0.21 -1.89 D- Is

Si II

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

Si II. Forbidden Transitions

No.

Transition

Array Multiplet MA) £;(cm 1 ) £a( cm ’) g> gx

Type of

Transition Aa; ( sec ') S(at.u.)

Accuracy Source

1 3p — ('S)3p 2 po 2 p°

[34.795 x 104

] 0.00 287.32 2 4 m 2.13 X 10-4 1.33 A 1

80
Ground State

Si III

ls22s22pfi3s2 'So

Ionization Potential

Allowed Transitions

33.46 eV = 269940.6 cm^'

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

566.613 11 1417.24 4 4665.87 30

671.718 23 1435.78 10 4683.02 30

672.293 23 1588.95 9 4683.80 30

673.477 23 1778.72 5 4716.65 43

690.689 25 1783.08 5 4730.52 30

823.408 24 1783.15 5 5451.46 29

883.398 15 1786.37 5 5451.96 29

993.519 19 1786.44 5 5473.05 29

994.787 19 1786.52 5 5490.11 29

997.389 19 1838.47 38 5539.93 29

1108.37 12 1839.59 38 5579.94 29

1109.94 12 1842.06 38 5596.9 57

1109.97 12 1842.55 21 5597.90 57

1113.17 12 1856.06 39 5599.25 57

1113.20 12 2449.48 45 5600.00 57

1113.23 12 2528.47 46 5600.95 57

1140.55 17 2541.82 3 5601.46 57

1141.58 17 2546.09 8 5693.8 48

1142.28 17 2559.21 26 5695.52 48

1144.31 17 3043.8 44 5696.50 48

1144.96 17 3043.93 44 5703.12 48

1145.67 17 3045.08 44 5704.60 48

1155.00 16 3045.1 44 5716.29 48

1155.96 16 3046.28 44 5739.73 28

1156.78 16 3185.13 37 5810.19 58

1158.10 16 3230.50 36 6169.84 56

1160.26 16 3233.95 36 6314.46 51

1161.58 16 3241.62 36 6521.49 55

1206.51 1 3486.91 42 6522.6 55

1206.53 13 3569.67 53 6522.63 55

1207.52 14 3590.47 35 6524.36 55

1294.54 2 3681.40 54 6524.8 55

1296.73 2 3682.15 54 6831.56 52

1298.89 2 3682.25 54 6834.08 52

1298.96 2 3791.41 34 6834.38 52

1301.15 2 3796.11 34 7461.89 40

1303.32 2 3796.2 34 7462.35 40

1312.59 20 3806.54 34 7462.62 40

1328.81 18 3806.7 34 7465.6 40

1341.47 7 4338.50 22 7465.67 40

1341.50 7 4341.40 33 7466.32 40

1342.35 7 4377.63 47 7612.36 49

1342.39 7 4468.45 31 8262.57 50

1342.43 7 4494.05 31 8265.64 50

1343.39 7 4552.62 27 8267.75 50

1362.37 6 4554.00 31 8269.32 50

1363.46 6 4567.82 27 8271.38 50

1363.50 6 4574.76 27 8271.94 50

1365.25 6 4619.66 30 8341.93 32

1365.29 6 4638.28 30 9799.91 41

1365.34 6

81
Weiss’ [1] values have been calculated by means of the method of superposition of configurations, employing Hartree-Fock wavefunctions as a starting point. The calculations have been

carried out both in the dipole length and dipole velocity approximations. Zare [3] has performed

similar calculations, also in the length and velocity forms, using however, the simpler, less ac- curate Hartree-Fock-Slater wavefunctions, in which exchange effects are only approximately taken

into account. The dipole length values of [1] or [3] are selected, being probably more reliable

than the velocity values, as suggested by the authors. Crossley and Dalgarno’s values [2] have been

obtained from a charge-expansion technique which includes configuration mixing in a limited

way. There is usually good agreement for those transitions where the various calculations overlap.

In these cases we have chosen Weiss’ results over Zare's values and these in turn over [2]. The

accuracy estimate has been reduced where there is significant disagreement between the length

and velocity forms or where there appears to be cancellation in the transition integral.

References

[1] Weiss, A. W., J. Chem. Phys. 47, 3573 (1967).

[2] Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soc. London A286, 510-518 (1965).

[3] Zare, R. N., J. Chem. Phys. 47, 3561 (1967).

Si III. Allowed Transitions

No. Transition

Array

Multiplet X(A) £i(cm -1

) £A(cm ') gi gk /T'd 10H sec ') fk S(at.u.) gf Accuracy

Source

1 3s2 — is _ip° 1206.51 0 82884 1 3 25.9 1.70 - 6.74 0.230 B 1 3s( 2 S)3p (UV 2)

2 3s3p — 3p

2 :sp° :sp 1298.9 52984 129971 9 9 22.3 0.564 21.7 0.706 B 1 (UV 4) 1298.96 53115 130101 5 5 16.7 0.423 9.04 0.325 B Is 1298.89 52853 129842 3 3 5.58 0.141 1.81 -0.374 B Is 1303.32 53115 129842 5 3 9.18 0.140 3.01 -0.155 B Is 1301.15 52853 129708 3 1 22.2 0.188 2.41 -0.249 B Is 1294.54 52853 130101 3 5 5.62 0.235 3.01 -0.152 B Is 1296.73 52725 129842 1 3 7.46 0.565 2.41 -0.248 B Is

3 1 Q

0

Oh 2541.82 82884 122215 3 5 0.32 0.052 1.3 -0.81 D 1 (UV 6.09)

4 'P°-'S 1417.24 82884 153444 3 1 26.0 0.261 3.66 -0.106 C 1 (UV 9)

5 3s( 2 S)3d— 3 D — :5F° 1 782.0 142945 199061 15 21 4.3 0.28 25 0.62 D 2

3p( 2 P°)3d' (UV 35)

1778.72 142944 199164 7 9 4.4 0.27 11 0.28 D Is 1783.15 142946 199026 5 7 3.8 0.25 7.4 0.10 D Is 1786.52 142948 198923 3 5 3.6 0.28 5.0 -0.08 D Is 1783.08 142944 199026 7 7 0.47 0.023 0.93 -0.79 D- Is 1786.44 142946 198923 5 5 0.66 0.032 0.93 -0.80 D- Is 1786.37 142944 198923 7 5 0.018 6.3 X 10-4 0.026 -2.36 E Is

6

:! D — :i P° 1364.3 142945 216241 15 9 12 0.19 13 0.45 D + 3

(UV 38)

1365.25 142944 216190 7 5 9.7 0.19 6.1 0.12 D + Is 1363.46 142946 216289 5 3 8.5 0.14 3.2 -0.15 D + Is 1362.37 142948 216350 3 1 11 0.10 1.4 -0.52 D- Is 1365.29 142946 216190 5 5 1.8 0.049 1.1 -0.61 D- Is 1363.50 142948 216289 3 3 2.9 0.082 1.1 -0.61 D- Is 1365.34 142948 216190 3 5 0.11 0.0053 0.072 -1.80 E Is

82
Si III. Allowed Transitions — Continued

No. Transition

Array

Multiplet x(A) £>•( cm-') A/, (cm ') g> gk Aki( 10* sec^ 1 ) fk S(at.u.) g) Accuracy

Source

7

:i D — :i D° 1342.2 142945 217452 15 15 10 0.27 18 0.61 D 2 (UV 39)

1341.47 142944 217489 7 7 9.0 0.24 7.5 0.23 D Is 1342.39 142946 217440 5 5 7.0 0.19 4.2 -0.02 D Is 1343.39 142948 217386 3 3 7.5 0.20 2.7 -0.22 D Is 1342.35 142944 217440 7 5 1.6 0.030 0.94 -0.68 D- Is 1343.39 142946 217386 5 3 2.5 0.041 0.90 -0.69 D- Is 1341.50 142946 217489 5 7 1.1 0.043 0.94 -0.67 D- Is 1342.43 142948 217440 3 5 1.5 0.068 0.90 -0.69 D- Is

8 'D-'D° 2546.09 165765 205029 5 5 0.61 0.060 2.5 -0.52 D 2 (UV 56)

9

1 D — 1 P° 1588.95 165765 228700 5 3 11 0.25 6.5 0.10 D + 3

(UV 59)

10 'D — >F° 1435.78 165765 235414 5 7 21 0.89 21 0.65 D 2 (UV 61)

11 3s2 - 'S — 'F

0 566.613 0 1 76487 1 3 3.2 0.046 0.085 -1.34 E 3

3s( 2 S)4p (UV 3)

12 3s3p — "C o 1 a 1111.6 52984 142945 9 15 28.8 0.890 29.3 0.904 B 1 3s( 2S)3d (UV 5) 1113.23 53115 142944 5 7 28.7 0.748 13.7 0.573 B Is 1109.97 52853 142946 3 5 21.7 0.668 7.32 0.302 B Is 1108.37 52725 142948 1 3 16.2 0.893 3.26 -0.049 B Is 1113.20 53115 142946 5 5 7.17 0.133 2.44 -0.177 B Is 1109.94 52853 142948 3 3 12.1 0.223 2.44 -0.175 B Is 1113.17 53115 142948 5 3 0.80 0.0089 0.16 -1.35 D Is

13 'P°-'D 1206.53 82884 165765 3 5 48.9 1.78 21.2 0.728 B 1 (UV 11)

14 3p

2 — 'D-'D° 1207.52 122215 205029 5 5 19 0.41 8.2 0.31 D 2

3p{ 2 P°)3d' (UV 22)

15 •D-'F0 883.398 122215 235414 5 7 63 1.0 15 0.70 D 2 (UV 27)

16 •ip _ :sp° 1159.2 129971 216241 9 9 22 0.44 15 0.60 D 2 (UV 31)

1161.58 130101 216190 5 5 16 0.32 6.2 0.20 D Is 1156.78 129842 216289 3 3 5.2 0.11 1.2 -0.48 D- Is 1160.26 130101 216289 5 3 9.1 0.11 2.1 -0.26 D- Is 1155.96 129842 216350 3 1 22 0.15 1.7 -0.35 D- Is 1158.10 - 129842 216190 3 5 5.5 0.18 2.1 -0.27 D- Is 1155.00 129708 216289 1 3 7.5 0.45 1.7 -0.35 D- Is

17 :i P — :i D° 1143.1 129971 21 7452 9 15 39 1.3 43 1.07 D 2 (UV 32)

1144.31 130101 217489 5 7 39 1.1 20 0.74 D Is 1141.58 129842 217440 3 5 30 0.98 11 0.47 D Is 1140.55 129708 217386 1 3 22 1.3 4.8 0.11 D- Is

1 144.96 130101 217440 5 5 9.7 0.19 3.6 -0.02 D- Is 1142.28 129842 217386 3 3 16 0.32 3.6 -0.02 D- Is 1145.67 130101 217386 5 3 1.1 0.013 0.24 -1.19 E Is

18 'S-'P° 1328.81 153444 165765 1 3 27 2.1 9.3 0.33 D 3

(UV 48)

19 3s3p — :sp°_:iS 996.09 52984 153377 9 3 23.6 0.117 3.45 0.022 B 1 3s( 2 S)4s (UV 6) 997.389 53115 153377 5 3 13.1 0.117 1.92 -0.233 B Is 994.787 52853 153377 3 3 7.89 0.117 1.15 -0.455 B Is 993.519 52725 153377 1 3 2.64 0.117 0.383 -0.932 B Is

83
SilH. Allowed Transitions — Continued

No. Transition Multiplet MA) EA cm 1 ) £A.(cm-') H> Hk A-( (10K sec-') fik S(at.u.) Accu- Source

Array racy

20 ipo_ ig

(UV 10)

1312.59 82884 159070 3 1 5.6 0.048 0.62 -0.84 D 1

21 3p

2 - 1 D — 1 P° 1842.55 122215 176487 5 3 2.61 0.080 2.42 -0.398 C 3

3s(

2 S)4p (UV 20)

22 c

n 1 X

o 4338.50 153444 176487 1 3 0.147 0.125 1.78 -0.90 C 3

(3)

23 3s3p — :ip°_3[) 672.88 52984 201599 9 15 0.67 0.0075 0.15 -1.17 E 3

3s( 2 S)4d (UV 6.01)

673.477 53115 201599 5 7 0.66 0.0063 0.070 -1.50 E Is 672.293 52853 201598 3 5 0.49 0.0056 0.037 -1.77 E Is 671.718 52725 201598 1 3 0.38 0.0077 0.017 -2.11 E Is 673.477 53115 201598 5 5 0.16 0.0011 0.012 -2.26 E Is 672.293 52853 201598 3 3 0.27 0.0018 0.012 -2.27 E Is 673.477 53115 201598 5 3 0.018 7.5 X 10-s 8.3 X 10“4 -3.43 E Is

24 ip°_iD

(UV 12)

823.408 82884 204331. 3 5 6.6 0.112 0.91 -0.474 C 3

25 3s3p — p°— «D 690.689 82884 227665 3 5 0.58 0.0069 0.047 -1.68 E 3

3s( 2 S)5d (UV 14)

26 3s3d— 'D-'F° 2559.21 165965 204828 5 7 7.7 1.1 45 0.73 D- ca

3s( 2 S)4/ (UV 55)

27 3s4s — :i S — ' ! P° 4560.1 153377 1 75300 3 9 1.26 1.18 53 0.55 C + 3

3s( 2 S)4p (2) 4552.62 153377 175336 3 5 1.26 ti.65 29.4 0.290 C + Is 4567.82 153377 175263 3 3 1.25 0.392 17.7 0.070 c + Is 4574.76 153377 175230 3 1 1.25 0.131 5.9 -0.406 c+ Is

28 'S-'P° 5739.73 159070 176487 1 3 0.47 0.70 13 -0.16 D + 3

(4) r

29 3p4V — ;! P° — *D 5472.8 226676 244943 9 15 0.79 0.59 96 0.73 D ca

3p(

2 P°)4p' (12.08)

5473.05 226820 245087 5 7 0.79 0.50 45 0.40 D Is 5451.46 226527 244866 3 5 0.60 0.45 24 0.13 D Is 5451.96 226400 244737 1 3 0.46 0.61 11 -0.21 D Is 5539.93 226820 244866 5 5 0.19 0.088 8.0 -0.36 D- Is 5490.11 226527 244737 3 3 0.33 0.15 8.0 -0.35 D- Is 5579.94 226820 244737 5 3 0.021 0.0058 0.53 -1.54 E Is

30 X

0 1 X 46 74.2 226676 248064 9 9 1.3 0.42 58 0.58 D ca

(13)

4683.02 226820 248168 5 5 0.95 0.31 24 0.19 D Is 4665.87 226527 247954 3 3 0.32 0.10 4.8 -0.52 D- Is 4730.52 226820 247954 5 3 0.52 0.10 8.1 -0.30 D- Is 4683.80 226527 247872 3 1 1.3 0.14 6.4 -0.38 D- Is 4619.66 226527 248168 3 5 0.33 0.18 8.1 -0.27 D- Is 4638.28 226400 247954 1 3 0.43 0.42 6.4 -0.38 D- Is

31 :i P°

:i S 4524.2 226676 248773 9 3 1.4 0.14 19 0.10 D ca

(15)

4554.00 226820 248773 5 3 0.76 0.14 11 -0.15 D Is 4494.05 226527 248773 3 3 0.46 0.14 6.2 -0.38 D Is 4468.45 226400 248773 1 3 0.16 0.14 2.1 -0.85 D Is

32 ' P° — 1 D 8341.93 235951 247935 3 5 0.26 0.46 38 0.14 D ca

(44)

33 c "l n

o 9- 4341.40 235951 258979 3 1 (46) 1.8 0.17 7.2 -0.30 D ca

84
Si III. Allowed Transitions — Continued

No. Transition

Array

Multiplet X(A) F/(cm-') £Y( cm" 1 ) Hi Hk ///,.,( 10K sec

-1

) Ik Stat.u.) Hi Accuracy

Source

34 3s4p — ;, P° — *D 1801.4 I 75300 201599 9 15 3.4 1.2 140 1.03 D ca

3s( 2 S)4c? (5) 3806.54 175336 201599 5 7 3.4 1.0 65 0.71 D Is 3796.11 175263 201598 3 5 2.6 0.93 35 0.45 D Is 3791.41 175230 201598 1 3 2.0 1.3 16 0.11 D Is [3806.7] 175336 201598 5 5 0.88 0.19 12 -0.02 D- Is [3796.2] 175263 201598 3 3 1.5 0.32 12 -0.02 D- Is [3806.7] 175336 201598 5 3 0.095 0.012 0.78 - 1.22 E Is

35 'P° — 'D 3590.47 176487 204331 3 5 3.9 1.2 44 0.57 D ca

(7)

36 3s4p — :! P°- :) S 3237.8 1 75300 206176 9 3 4.0 0.21 20 0.28 D ca

3s(

2 S)5s (6) 3241.62 175336 206176 5 3 2.3 0.21 11 0.03 D Is 3233.95 175263 206176 3 3 1.3 0.21 6.7 -0.20 D Is 3230.50 175230 206176 1 3 0.45 0.21 2.2 -0.68 D Is

37 'P°-'S 3185.13 176487 207874 3 1 3.8 0.19 6.1 -0.24 D ca

(8)

38 3s4p — :i P° — :i S 1840.8 1 75300 229623 9 3 1.7 0.028 1.5 -0.60 D ca

3s(

2 S)6s (UV 65)

1842.06 175336 229623 5 3 0.93 0.028 0.86 -0.85 D Is 1839.59 175263 229623 3 3 0.55 0.028 0.51 -1.08 D Is 1838.47 175230 229623 1 3 0.18 0.028 0.17 -1.55 D Is

39 .p°_i S 1856.06 176487 230364 5 3 1.6 0.027 0.50 -1.08 D ca (UV 70)

40 3s4g? — 3D — :! P° 7464.5 201599 214992 15 9 0.65 0.33 120 0.69 D ca

3s( 2 S)5p (8.03)

7466.32 201599 214989 7 5 0.54 0.32 56 0.36 D Is 7462.62 201598 214995 5 3 0.49 0.24 30 0.08 D Is 7461.89 201598 214995 3 1 0.63 0.18 13 -0.27 D Is 7465.67 201598 214989 5 5 0.097 0.081 10 -0.39 D Is 7462.35 201598 214995 3 3 0.16 0.14 10 -0.38 D Is [7465.6] 201598 214989 3 5 0.0065 0.0091 0.67 -1.56 E Is

41 1 D — 1 P° 9799.91 204331 214995 5 3 0.39 0.34 55 0.23 D ca

(8.08)

42 3s4d- 3 D

:! F° 3486.91 201599 230270 15 21 1.8 0.45 78 0.83 D ca

3s( 2 S)5/ (8.06)

43 'D — 'F° 4716.65 204331 225526 5 7 2.8 1.3 100 0.81 D ca

(8.09)

44 354c?— 3 D — 3 P° 3044.6 201599 234434 15 9 0.22 0.019 2.8 -0.55 D ca

3s( 2 S)6p (8.07)

3043.93 201599 234442 7 5 0.19 0.019 1.3 -0.89 D Is 3045.08 201598 234428 5 3 0.17 0.014 0.70 -1.15 D Is 3046.28 201598 234415 3 1 0.22 0.010 0.31 -1.52 D Is [3043.8] 201598 234442 5 5 0.033 0.0046 0.23 -1.64 D- Is [3045.1] 201598 234428 3 3 0.055 0.0076 0.23 -1.64 D- Is [3043.8] 201598 234442 3 5 0.0023 5.3 X lO-4 0.016 -2.80 E Is

45 3s4d— 3 D — :i F° 2449.48 201599 242411 15 21 1.2 0.15 18 0.35 D- ca

3s( 2 S)6/ (UV 78)

46 'D— 'F° 2528.47 204331 243869 5 7 0.81 0.11 4.5 -0.27 D- ca (UV 81)

47 354/- o ”i9 4377.63 204828 227665 7 5 0.085 0.017 1.8 -0.91 D ca

3s( 2 S)5c? (8.13)

85
Si III. Allowed Transitions — Continued

No. Transition Multiplet \(A) £;(cnr ') £a(c nr 1 ) A

r/,- /I a, (10* sec ') fk Sfat.u.) Aeeu- Source

Array racy

48 :i F° — :i D 5707.5 209570 227086 21 15 0.20 0.071 28 0.17 D ca

(8.17)

5716.29 209600 227089 9 7 0.19 0.074 12 -0.18 D Is 5704.60 209559 227084 7 5 0.18 0.063 8.3 -0.36 D Is 5696.50 209531 227081 5 3 0.20 0.060 5.6 -0.52 D Is 5703.12 209559 227089 7 7 0.016 0.0076 1.0 -1.27 D- Is 5695.52 209531 227084 5 5 0.022 0.011 1.0 -1.26 D~ Is [5693.8] 209531 227089 5 7 4.5 X 10~4 3.1 x 10-4 0.029 -2.81 E Is

49 3s5p — 'P°-'D 7612.36 214532 227665 3 5 1.1 1.5 120 0.66 D ca

3s( 2 S)5e? (10.01)

50 :i P° — :i D 8266.3 214992 227086 9 15 0.93 1.6 390 1.16 D ca

(10.06)

8262.57 214989 227089 5 7 0.91 1.3 180 0.81 D Is 8269.32 214995 227084 3 5 0.70 1.2 97 0.56 D Is 8271.94 214995 227081 1 3 0.51 1.6 43 0.20 D Is 8265.64 214989 227084 5 5 0.23 0.24 32 0.08 D Is 8271.38 214995 227081 3 3 0.38 0.39 32 0.07 D Is 8267.75 214989 227081 5 3 0.026 0.016 2.2 -1.10 E Is

51 3s5p — 'P°-'S 6314.46 214532 230364 3 1 1.2 0.25 15 -0.13 D ca

3s(

2 S)6s (10.02)

52 :i P°— :i S 6832.9 214992 229623 9 3 1.3 0.31 63 0.45 D ca

(10.07)

6831.56 214989 229623 5 3 0.74 0.31 35 0.19 D Is 6834.08 214995 229623 3 3 0.44 0.31 21 -0.03 D Is 6834.38 214995 229623 1 3 0.15 0.31

1 7.0 -0.51 D Is

53 3s5p — ipo _i S 3569.67 214532 242538 3 1 0.58 0.037 1.3 -0.96 D ca

3s( 2 S)75 (10.04)

54 ;i P° — :i S 3681.8 214992 242145 9 3 0.61 0.041 4.5 -0.43 D ca

(10.09)

3681.40 214989 242145 5 3 0.33 0.041 2.5 -0.69 D Is 3682.15 214995 272145 3 3 0.20 0.041 1.5 -0.91 D Is 3682.25 214995 242145 1 3 0.067 0.041 0.50 -1.39 D Is

55 3s5d — :! D — :! F° 6523.5 227086 242411 15 21 0.38 0.34 110 0.71 D ca

3s( 2 S)6f (17)

6524.36 227089 242412 7 9 0.39 0.32 48 0.35 D Is 6522.63 227084 242411 5 7 0.34 0.31 33 0.19 D Is 6521.49 227081 242411 3 5 0.32 0.34 22 0.01 D Is [6524.8] 227089 242411 7 7 0.043 0.027 4.1 -0.72 D- Is [6522.6] 227084 242411 5 5 0.060 0.038 4.1 -0.72 D- Is [6524.8] 227089 242411 7 5 0.0018 8.0 x 10-4 0.12 -2.25 E Is

56 iD-'F° 6169.84 227665 243869. 5 7 0.12 0.099 10 -0.30 D ca

(22)

57 3s5d — ! D- 3P° 5600.1 227086 244938 15 9 0.10 0.029 7.9 -0.36 D ca

3s{ 2 S)7p (18)

5599.25 227089 244943 7 5 0.086 0.029 3.7 -0.69 D Is 5600.95 227084 244933 5 3 0.077 0.022 2.0 -0.96 D Is 5601.46 227081 244929 3 1 0.10 0.016 0.88 -1.32 D- Is 5597.90 227084 244943 5 5 0.015 0.0072 0.66 -1.44 D- Is 5600.00 227081 244933 3 3 0.025 0.012 0.66 -1.44 D- Is [5596.9] 227081 244943 3 5 0.0010 8.0 x 10-4 0.044 -2.62 E Is

58 'D-'P° 5810.19 227665 244871 5 3 0.078 0.024 2.3 -0.92 D ca

(23)

86
Sim

Forbidden Transitions

Naqvi’s calculations [1] are the only available source. The results for the J P° — :{ P° transitions are essentially independent of the choice of the interaction parameters. For the 3 P° — ’P° transitions, Naqvi uses empirical term intervals, i.e., the effects of configuration interaction should be

partially included.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

Si III. Forbidden Transitions

Transition

a(A)

Type of AccuNo. Array Multiplet Ei (cm 1 ) Fa (cm ') gi gk Transi- 4hi (sec ') S ( at.u.) racy Source

tion

1 3s3p — 3s(2 S)3p |-So l -60 [77.74 X 104

] 52724.7 52853.3 1 3 m 3.83 x 10-5 2.00 A 1 [38.201 X 104

] 52853.3 53115.0 3 5 m 2.42 x 10“4 2.50 A 1

2 Ajo 1 '-ao [3314.7] 52724.7 82884.4 1 3 m 0.0182 7.4 X 10-5 C 1 [3328.9] 52853.3 82884.4 3 3 m 2.22 0.0091 C 1 [3358.2] 53115.0 82884.4 5 3 m 0.0219 9.2 X 10-5 c 1

Ground State

Si IV

ls2 2s2 2p63s 2 S 1 1

2

Ionization Potential 45.14 eV = 364093.1 cm-'

Allowed Transitions

List of tabulated lines:

Wavelength [A| No. Wavelength [A] No. Wavelength [A] No.

437.849 5 1533.22 21 4038.06 37

438.734 5 1672.61 23 4088.85 13

457.818 2 1722.53 8 4116.10 13 458.155 2 1727.38 8 4212.41 31

515.118 4 1796.16 19 4314.10 26

516.348 4 1796.17 19 4328.18 26

559.533 7 1797.50 19 4403.73 41

560.980 7 2120.18 15 4411.65 35

645.759 12 2127.47 15 4416.51 35

749.941 11 2287.04 20 4602.58 38

815.049 3 2366.76 27 4611.27 38

818.129 3 2370.99 27 4950.11 33

860.551 9 2482.82 25 5304.97 39

860.560 9 2485.38 25 5309.49 39

861.118 9 2675.2 22 6667.56 28

1066.63 10 2723.81 32 6701.21 28

1122.49 6 2971.52 34 6998.36 40

1128.33 6 3149.56 17 7047.94 29

1128.34 6 3165.71 17 7068.41 29

1210.65 14 3241.57 30 7630.50 36

1211.76 14 3241.58 30 7654.56 36

1228.35 16 3244.19 30 8240.61 42

1230.80 16 3762.44 18 8957.25 24

1393.76 1 3773.15 18 9018.16 24

1402.77 1 4031.39 37

87
Self-consistent field calculations including polarization and exchange effects by Douglas and

Garstang [1] are available for several multiplets of this ion. The values are expected to be accurate

to within 25 percent, except for the transitions 35 — 4/> and 3p — 4r/ where large cancellation effects occur in the transition integral. Similar but less refined calculations by Chapman, Clarke, and

Aller [2] are adopted for those transitions which Douglas and Garstang have not covered.

For Si IV, a member of the sodium isoelectronic sequence, it is possible to utilize extensively

the dependence of oscillator strengths on nuclear charge for the intercomparison of analogous

transitions. Thus, the degree of fit of the individual /values into the systematic trends has served

as one of the decisive factors for the choice of accuracy assignments.

References

[1] Douglas, A. S., and Garstang, R. H., Proc. Cambridge Phil. Soc. 58, 377-381 (1962).

[2] Chapman, R. D., Clarke, W. H., and Aller, L. H., Astrophys. J. 144, 376-380 (1966).

Si IV. Allowed Transitions

No. Transition Multiplet A(A) E,( cm-') Ek(c m ') A/ /4a;( 1(P sec ') Jik ,S(at.u.) !<>ti zf Accu- Source

Array racy

1 3s — 3j)

" S "P° 7396.7 0 71505 2 6 9.15 0.803 7.38 0.206 B 1 (UV 1) 1393.76 0 71749 2 4 9.20 0.536 4.92 0.030 B Is 1402.77 0 71288 2 2 9.03 0.266 2.46 -0.274 B Is

2 3s — 4p

2 S _-po

4.57.93 0 218375 2 6 3.5 0.033 0.10 -1.18 D 1 (UV 2) 457.818 0 218429 2 4 3.6 0.023 0.068 -1.34 D Is 458.155 0 218267 2 2 3.6 0.011 0.034 -1.66 D Is

3 3p — 4s •>po_2S 817.10 77595 193979 6 2 36.8 0.123 1.98 -0.132 C + 1 (UV 4)

818.129 71749 193979 4 2 24.4 0.123 1.32 -0.308 c + Is 815.049 71288 193979 2 2 12.3 0.123 0.66 -0.61 c + Is

4 3p — 55 "P° " S 575.93 71505 265418 6 2 12 0.016 0.17 -1.01 D ca (UV 6) 516.348 71749 265418 4 2 8.2 0.016 0.11 -1.18 D Is 515.118 71288 265418 2 2 4.1 0.016 0.055 -1.49 D Is

5 3/> — 6s - P° ~S 438.44 71505 299677 6 2 6.4 0.0061 0.053 -1.44 D ca (UV 8) 438.734 71749 299677 4 2 4.2 0.0061 0.035 -1.61 D Is 437.849 71288 299677 2 2 2.2 0.0062 0.018 -1.91 D Is

6 3p — 3d ~P° “D 1126.4 71505 160375 6 10 26.4 0.84 18.6 0.70 C + 1 (UV 3) 1128.34 71749 160374 4 6 26.3 0.75 11.2 0.477 c + Is 1122.49 71288 160376 2 4 22.2 0.84 6.2 0.225 c + Is 1128.33 71749 160376 4 4 4.37 0.083 1.24 -0.479 c + Is

7 3p — 4d P° " D 560.50 71505 250008 6 10 1.0 0.0081 0.090 -1.31 D- 1 (UV 5) 560.980 71749 250008 4 6 1.0 0.0073 0.054 -1.53 D- Is 559.533 71288 250008 2 4 0.87 0.0081 0.030 -1.79 D- Is 560.980 71749 250008 4 4 0.17 8.1 x 10- 4 0.0060 -2.49 D- Is

8 3d — 4p -D — - P° 1724.1 160375 218375 10 6 5.5 0.148 8.4 0.170 C 1 (UV 10)

1722.53 160374 218429 6 4 4.96 0.147 5.0 -0.055 C Is 1727.38 160376 218267 4 2 5.5 0.123 2.80 -0.308 C Is 1722.53 160376 218429 4 4 0.55 0.0247 0.56 -1.005 C Is

9 3d — 5p -D — -P° 860.74 160375 276554 10 6 1.8 0.012 0.33 -0.93 D ca (UV 12)

860.551 160374 276579 6 4 1.6 0.012 0.20 -1.15 D Is 861.118 160376 276504 4 2 1.8 0.0098 0.11 - 1.41 D Is 860.560 160376 276579 4 4 0.18 0.0020 0.022 -2.11 D Is 88
Si IV. Allowed Transitions — Continued

No. Transition Multiplet X(A) Ei(cm~') Ek(c m_l

) ft ft- Ak-i(U)

H sec-') Jik S(at.u.) Aecu- Source

Array racy

10 3c? — 4/ D F

° (UV 11)

1066.63 160375 254128 10 14 39.1 0.93 32.8 0.97 c + ca

11 3c?— 5/ -D — 2 F°

(UV 13)

749.941 160375 293719 10 14 14.5 0.171 4.23 0.233 c ca

12 3c? — 6/ 2 D _2F

o (UV 15)

645.759 160375 315230 10 14 7.0 0.061 1.3 -0.21 D ca

13 4s — 4p

2 S _-po 4097.9 193979 218375 2 6 1.56 1.17 31.7 0.369 B 1 (1) 4088.85 193979 218429 2 4 1.56 0.784 21.1 0.195 B Is 4116.10 193979 218267 2 2 1.54 0.391 10.6 -0.107 B Is

14 4s — 5p 2 S _2p° 1211.0 193979 276554 2 6 0.36 0.024 0.19 -1.32 D ca (UV 16)

1210.65 193979 276579 2 4 0.36 0.016 0.12 -1.51 D Is 1211.76 193979 276504 2 2 0.37 0.0082 0.066 -1.78 D Is

15 4p — 5s 2p°_2S 2125.0 218375 265418 6 2 9.0 0.203 8.5 0.086 C + ca (UV 18)

2127.47 218429 265418 4 2 6.0 0.204 5.7 -0.089 c + Is 2120.18 218267 265418 2 2 3.00 0.202 2.82 -0.394 c + Is

16 4p — 6s 2 P°- 2 S

(UV 20)

1230.0 218375 299677 6 2 3.92 0.0296 0.72 -0.75 c ca

1230.80 218429 299677 4 2 2.60 0.0295 0.478 -0.93 c Is 1228.35 218267 299677 2 2 1.30 0.0294 0.238 -1.231 c Is

17 4p — 4c? 2 P°-2D 3160.3 218375 250008 6 10 4.75 1.19 74 0.85 c + 1 (2) 3165.71 218429 250008 4 6 4.75 1.07 44.6 0.63 c + Is 3149.56 218267 250008 2 4 4.02 1.20 24.8 0.380 c + Is 3165.71 218429 250008 4 4 0.79 0.119 4.96 -0.322 c + Is

18 4c? — 5p 2 D 2 P

° 3766.0 250008 276554 10 6 2.37 0.303 37.5 0.481 c 2

(3) 3762.44 250008 276579 6 4 2.14 0.303 22.5 0.260 c Is 3773.15 250008 276504 4 2 2.36 0.252 12.5 0.003 c Is 3762.44 250008 276579 4 4 0.240 0.051 2.53 -0.69 c Is

19 4c? — 6p 2 D _ 2 P

°

I 796.6 250008 305668 10 6 0.87 0.0254 1.50 -0.60 c ca (UV 23)

1796.16 250008 305682 6 4 0.78 0.0253 0.90 -0.82 c Is 1797.50 250008 305641 4 2 0.87 0.0210 0.497 -1.076 c Is 1796.17 250008 305682 4 4 0.087 0.00421 0.100 -1.77 c Is

20 4c? — 5/

2 D — 2 F

° (UV 22)

2287.04 250008 293719 10 14 6.4 0.70 53 0.85 c ca

21 4g? — 6/ 2 D _2F

° (UV 24)

1533.22 250008 315230 10 14 3.57 0.176 8.9 0.246 c ca

22 4/- 5c? 2 F°_2D

(UV 25)

2675.2 254128 291498 14 10 0.280 0.0215 2.65 -0.52 c ca

23 4/-6d 2p_2D

(UV 27)

1672.61 254128 313915 14 10 0.12 0.0036 0.28 -1.30 D ca

24 5s — 5p 2g_2p

o

(3.01)

8977.4 265418 276554 2 6 0.420 1.52 90 0.483 c ca

8957.25 265418 276579 2 4 0.421 1.01 60 0.307 c Is 9018.16 265418 276504 2 2 0.413 0.50 29.9 0.003 c Is

25 5s — 6p 2 S _2P

° 2483.7 265418 305668 2 6 0.066 0.018 0.30 -1.44 D ca (UV 29)

2482.82 265418 305682 2 4 0.066 0.012 0.20 -1.62 D Is 2485.38 265418 305641 2 2 0.066 0.0061 0.10 -1.91 D Is

89
Si IV. Allowed Transitions — Continued

No. Transition Multiplet X(A) £,(cm-') EiAv m" 1 ) Ak~,{ 1 0

H sec ') Jik S(at.u.) a/' Aecu- Source

Array racy

26 5p — 65 2 P°- 2 S 4323.5 276554 299677 6 2 3.21 0.300 25.6 0.255 c 2

(4) 4328.18 276579 299677 4 2 2.14 0.300 17.1 0.077 c Is 4314.10 276504 299677 2 2 1.08 0.300 8.5 - 0.222 c Is

27 5p — 75

2 P°- 2 S 2370.0 276554 318743 6 2 1.47 0.0412 1.93 -0.61 c ca (TV 31)

2370.99 276579 318743 4 2 0.98 0.0413 1.29 -0.78 c Is 2366.67 276504 318743 2 2 0.490 0.0411 0.64 -1.085 c Is

28 5p — 5d -P° — -D 6680.8 276554 291498 6 10 1.36 1.52 201 0.96 c ca

(3.02) 6701.21 276579 291498 4 6 1.36 1.37 121 0.74 c Is 6667.56 276504 291498 2 4 1.14 1.52 67 0.484 c Is 6701.21 276579 291498 4 4 0.226 0.152 13.4 -0.216 c Is

29 5d — 6p

2 D — 2 P° 7055.2 291498 305668 10 6 1.00 0.448 104 0.65 c ca

(4.01)

7047.94 291498 305682 6 4 0.90 0.447 62 0.428 c Is 7068.41 291498 305641 4 2 1.00 0.374 34.8 0.175 c Is 7047.94 291498 305682 4 4 0.100 0.074 6.9 -0.53 c Is

30 5d — Ip 2 D - 3242.4 291498 322330 10 6 0.412 0.0390 4.16 -0.409 c ca

(5.01)

3241.58 291498 322338 6 4 0.371 0.0390 2.50 -0.63 c Is 3244.19 291498 322313 4 2 0.410 0.0324 1.38 -0.89 c Is 3241.57 291498 322338 4 4 0.0413 0.0065 0.277 -1.59 c Is

31 5c/ — 6/

2 D- 2F° 4212.41 291498 315230 10 14 1 J2 0.64 89 0.81 c 2

(5)

32 5(7-7/ 2 D~ 2 F°

(TV 32)

2723.81 291498 328200 10 14 1.1 0.17 15 0.23 D ca

33 5/- 6(7 2 F°~ 2 D 4950.11 293719 313915 14 10 0.205 0.054 12.3 -0.123 c ca

(5.02)

34 5/- 7(7 2 F°- 2 D

(TV 33)

2971.52 293719 327362 14 10 0.10 0.0095 1.3 - 0.88 D ca

35 65 — 7p 2 S

2 p

0 4413.2 299677 322330 2 6 0.018 0.015 0.45 -1.52 D ca

( 8 ) 4411.65 299677 322338 2 4 0.018 0.010 0.30 -1.70 D Is 4416.51 299677 322313 2 2 0.018 0.0052 0.15 -1.98 D Is

36 6/> — 7s

2 p°_ 2 S 7646.1 305668 318743 6 2 1.34 0.391 59 0.370 C ca

( 9 ) 7654.56 305682 318743 4 2 0.88 0.387 40.0 0.189 c Is 7630.50 305641 318743 2 2 0.440 0.384 19.3 -0.115 c Is

37 6p — 8s

2 p°_ 2 S 4035.7 305668 330440 6 2 0.65 0.053 4.24 -0.498 c ca (ID

4038.06 305682 330440 4 2 0.435 0.053 2.83 -0.67 c Is 4031.39 305641 330440 2 2 0.217 0.053 1.41 -0.97 c Is

38 6p — 7(7 2 P° 2 D 4608.3 305668 327362 6 10 0.020 0.011 0.98 -1.18 D ca

( 10) 4611.27 305682 327362 4 6 0.020 0.0095 0.58 -1.42 D Is 4602.58 305641 327362 2 4 0.018 0.011 0.34 -1.65 D Is 4611.27 305682 327362 4 4 0.0033 0.0011 0.064 -2.37 D Is

39 6(7 — 8/> 2 D _ 2 po 5306.4 313915 332755 10 6 0.209 0.053 9.3 -0.276 C ca

(13)

5304.97 313915 332760 6 4 0.190 0.053 5.6 -0.498 C Is 5309.49 313915 332744 4 2 0.210 0.0443 3.10 -0.75 c Is 5304.97 313915 332760 4 4 0.0210 0.0089 0.62 -1.449 c Is

40 6(7-7/ 2 D 2 F

° 6998.36 313915 328200 10 14 0.55 0.56 130 0.75 c ca

( 12 )

90
Si IV. Allowed Transitions — Continued

No. Transition

Array

Multiplet a(A) Ei( cm -1

) Ei-(cm ') ffi A/,- 4A,(H)M sec-') Jik ,S(at.u.) lug 4 Accuracy Source

41 6d—8f "D — "F°

(14)

4403.73 313915 336617 10 14 0.41 0.17 24 0.23 D ca

42 6/— Id > F°_ 2 D

(15)

8240.61 315230 327362 14 10 0.126 0.092 34.8 0.110 C ca

Siv

Ground State \s-2s-2p« 'So

Ionization Potential 166.73 eV = 1345100 cm-'

Allowed Transitions

Calculations by Kastner, Omidvar, and Underwood [1], employing Hartree-Fock wavefunctions

and including intermediate coupling, are available. Since the calculations are based on a singleconfiguration approximation only, uncertainties of up to 50 percent are expected lor the strong

lines and even higher uncertainties for the weak lines, the latter being more affected by assumptions

about the coupling.

Reference

[1] Kastner, S. O., Omidvar, K., and Underwood, J. H., Astrophys. J. 148, 269—273 (1967).

Si V. Allowed Transitions

No. Transition

Array

Mu lliplet A( A) £,(c m 1 ) £*-(cnr') A'/,- ^•/(KPsee- 1 ) Jik S(at.u.) i'»g <4 Accuracy

Source

1 2pfi — 2p5 (-P!»/2 )3s 'S- :ip°

[118.97] 0 840560 l 3 33 0.021 0.0082 -1.68 E 1

2 2pK — 2/;5 (-P°/2 )3s 'S- l p° [117.86] 0 848460 l 3 300 0.19 0.074 -0.72 D 1

3 2pK — 2//’(-P°/2 )3d 'S- upo [98.209] 0 1018240 l 3 8.8 0.0038 0.0012 -2.42 E 1

4 2p«-2p->(2 P:i/2)3d 'S- ipo [97.143] 0 1029410 l 3 2000 0.84 0.27 -0.08 D 1

5 2p«-2p>(2 P?/2 )3d 'S- :i D°

[96.439] 0 1036930 l 3 480 0.20 0.063 -0.70 D 1

308-022 0-69—9

91
Si VI

Ground State ls2

2.s

2 2p5 2

f?j/2

Ionization Potential 205.11 eV= 1654800 cm - '

Allowed Transitions

The value for the 2s2 2p5 2 P° — 2s2p6 2 S multi|)let is calculated from the nuclear charge-expansion

method of Cohen and Dalgarno [1]. It may be quite uncertain since configuration interaction effects

with configurations involving the n — 3 shell electrons, which were not included in this calculation,

may be significant.

Reference

[1] Cohen, M., and Dalgarno. A., Proc. Roy. Soc. London A280, 258—270 (1964).

Si VI. Allowed Transitions

No. Transition

Array

Multiplet X(A) £/(cm-1

) £V(cm_l

) g> gk /fii(10

K sec ') fik S(at.u.) log A/' Accuracy

Source

1 2s-2p~' — 2s2pH

, p°_.,s 247.04 1700 406500 6 2 370 0.11 0.55 -0.18 D 1

[246.00] 0 406500 4 2 250 0.11 0.37 -0.36 D Is [249.13] 5100 406500 2 2 120 0.11 0.18 -0.66 D Is

Si VI

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

Si VI. Forbidden Transitions

No.

Transition

Array Multiplet mA) £,(cm ’) Ek (cm •) gi gk

Type of

Transition Aki( sec *) Sfat.u.)

Accuracy Source

1 2p5 —2p5 2po 2po

[19603] 0 5100 4 2 m 2.38 1.33 A 1

92
Si vii

Ground State ls22sz2p4 ! P2

Ionization Potential 246.41 eV= 1988000 cm-'

Allowed Transitions

The values are calculated from the charge-expansion method of Cohen and Dalgarno [1]

which includes limited configuration mixing. From comparisons with other ions in the isoelectronic

sequence, uncertainties should be within 50 percent.

Reference

[1] Cohen, M., and Dalgarno, A., Froc. Roy. Soc. London A280, 258-270 (1964).

Si VII. Allowed Transitions

No. Transition

Array

Multiplet X(A) Ei( cnr') ftlcm' 1 ) ft ft Ta,(10k sec ') fa Slat.u.) log A/' Accuracy

Source

1 2s-2p4 — 2s2p~' :sp _ :sp° 275.46 1962 364994 9 9 160 0.18 1.5 0.21 D 1

[275.35] 0 363170 5 5 120 0.14 0.62 -0.15 D Is [275.67] 4030 366780 3 3 39 0.044 0.12 -0.88 D Is [272.64] 0 366780 5 3 70 0.047 0.21 -0.63 D Is [274.18] 4030 368760 3 1 170 0.063 0.17 -0.72 D Is [278.44] 4030 363170 3 5 39 0.076 0.21 -0.64 D Is [276.85] 5570 366780 1 3 54 0.19 0.17 -0.72 D Is

2

1 D — 1 P° [217.83] 47000 506080 5 3 270 0.12 0.42 -0.22 D 1

3 •S — *P° [246.12] 99780 506080 1 3 41 0.11 0.090 -0.96 D 1

Si VII

Forbidden Transitions

As in the case of Na IV the adopted values are taken from Naqvi [1], and Malville and Berger

[2J. For a discussion on the selection of values see Na IV, since the same considerations have been

applied.

References

[1] Naqvi, A. M., Thesis. Harvard (1951).

[2] Malville, J. M. and Berger, R. A., Planetary and Space Science 13, 1131-1136 (1965).

93
Si VII. Forbidden Transitions

No.

Transition

Array Multiplet MA) Ei ( cm ') £7 (cm ') gi gk

Type of

Transition (sec 1 ) S(at.u.)

Accuracy Source

1 2pA — 2p4 3 P —:! P

[24807] 0 4030 5 3 e 2.70 X 10-“ 0.0452 c- 1, 2 [24807] 0 4030 5 3 m 1.46 2.49 B 1. 2

[17948] 0 5570 5 1 e 1.82X10-“ 0.0202 c- 2

[64920] 4030 5570 3 1 m 0.196 2.00 B 1,2

2 -6 l 6

[2127.0] 0 47000 5 5 e 0.0074 9.6 x lO"4 D- 1. 2 [2127.0] 0 47000 5 5 m 12.7 0.0226 C 1 [2326.5] 4030 47000 3 5 e 6.8 X 10--* 1.4 X 10-4 D— 1, 2 [2326.5] 4030 47000 3 5 ni 3.24 0.0076 C 1

L 2413.0] 5570 47000 1 5 e 2.5 x 10-4 6.1 X 10-5 D- 2

3

;i P — 1 s

[1002.2] 0 99780 5 1 e 0.11 6.3 x lO"5 D- 2 [1044.4] 4030 99780 3 1 m 148 0.0063 C 2

4 'D-'S

[1894.7] 47000 99780 5 1 e 5.5 0.080 C- 2

Si VIII

Ground State 1 s

22s22p:i 4 S

.°/2

Ionization Potential 303.07 eV = 24451 10 cm -1

Allowed Transitions

Values for all the listed transitions are caleulated from the nuclear charge-expansion method

of Cohen and Dalgarno [1], which includes limited configuration mixing. Judged from graphical

comparisons with other ions in the isoelectronic sequence and from the general success of Cohen

and Dalgarno’s method for similar atomic systems, uncertainties within 50 percent are indicated.

Reference

[1] Cohen, M.. and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

Si VIII. Allowed Transitions

No. Transition

Array

Multiplet x(A) Ei( cm -1

) Gfcnr 1 ) gi gk /<*,( 10H sec-') Jik Slat.u.) l«>g gf Accuracy

Source

1 2s~2p:i — 2s2pA 4 S°- 4 P 317.68 0 314782 4 12 49 0.22 0.93 -0.06 D 1

[319.83] 0 312670 4 6 49 0.11 0.47 -0.36 D Is [316.20] 0 316260 4 4 50 0.074 0.31 -0.53 D Is [314.31] 0 318160 4 2 52 0.039 0.16 -0.81 D Is

2 -D° — -D 277.00 [67308] [428324] 10 10 110 0.13 1.2 0.11 D 1

[277.10] [67420] [428300] 6 6 110 0.12 0.67 -0.14 D Is [276.84] [67140] [428360] 4 4 100 0.12 0.43 -0.32 D Is [277.05] [67420] [428360] 6 4 11 0.0088 0.048 -1.28 E Is [276.89] [67140] [428300] 4 6 7.6 0.013 0.048 -1.28 E Is

94
Si VIII. Allowed Transitions — Continued

No. Transition

Array

Multiplet A( A) Ej(cm ') £/,((• nr 1 ) m (4k /b,;( 10s sec 1 ) Jik ,S(at.u.) log pj' Accuracy

Source

3

2 D° — 2 P 216.18 [67308] [520877] 10 6 400 0.17 1.2 0.23 D 1

[216.92] [67420] [528420] 6 4 360 0.17 0.72 0.01 L) Is [214.75] [67140] [532790] 4 2 410 0.14 0.40 -0.25 D Is [216.79] [67140] [528420] 4 4 40 0.028 0.080 -0.95 E Is

4

2 P° — 2 D 308.06 [ 103707

]

[428324] 6 10 17 0.041 0.25 -0.61 D 1

[308.26] [103900] [428300] 4 6 17 0.037 0.15 -0.83 D Is [307.65] [103320] [428360] 2 4 14 0.041 0.083 -1.09 D Is [308.20] [103900] [428360] 4 4 2.9 0.0042 0.017 -1.77 E Is

5 •>p°_2S 250.84 [ 103707] [502360] 6 2 240 0.075 0.37 -0.35 D 1

[250.97] [103900] [502360] 4 2 160 0.076 0.25 -0.52 D Is [250.60] [103320] [502360] 2 2 77 0.073 0.12 -0.84 D Is

6

2 P°- 2 P 234.65 [ 103707

]

[529877] 6 6 120 0.097 0.45 -0.24 D 1

[235.56] [103900] [528420] 4 4 97 0.081 0.25 -0.49 D Is 1232.85] [ 103320] [532790] 2 2 80 0.065 0.10 -0.89 D Is [233.16] [103900] [532790] 4 2 40 0.016 0.050 -1.19 D- Is [235.24] [103320] [528420] 2 4 19 0.032 0.050 -1.19 D- Is

Si VIII

Forbidden Transitions

All the values for this ion have been taken from Pasternack [1]. The electric quadrupole

values have been corrected by applying Naqvi’s value [2] for the electric quadrupole moment s q

.

References

[1] Pasternack, S., Astrophys. J. 92, 129 (1940).

[2] Naqvi, A. M., Thesis Harvard (1951).

Si VIII. Forbidden Transitions

No.

Transition

Array Multiplet mA) £i(cm-') Ea (cm ') Aa Type of

Transition A a; (sec ') S( at.u.)

Accuracy Source

1 2p:i —2p:i 4 S° — 2 D°

[1483.2] 0 [67420] 4 6 m 0.019 1.38 X 10-s c- 1 [1483.2] 0 [67420] 4 6 e 0.0083 2.1 X 10-4 D- 1. 2 [1489.4] 0 [67140] 4 4 m 1.1 5.4 X 10-4 C- 1 [1489.4] 0 [67140] 4 4 e 0.0053 9.3 X 10-5 D- 1, 2

2

4 S° — 2 P°

[967.87] 0 [103320] 4 2 m 29 0.00195 C 1 [967.87] 0 [103320] 4 2 e 3.4 X 10-4 3.5 x 10- 7 D- 1, 2 [962.46] 0 [103900] 4 4 m 69 0.0091 C 1 [962.46] 0 [103900] 4 4 e 1.4 X 10-4 2.8 X 10-7 D- 1. 2

3

2 D° — 2 D°

[35.70 x 104

] [67140] [67420] 4 6 m 2.37 X 10-4 2.40 B 1. 2 [35.70 X 104

] [67140] [67420] 4 6 e 7.7 x 10- 14 0.0016 D- 1, 2

95
Si VIII . Forbidden Transitions — Continued

No.

Transition

Array Multiplet mA) E, (cm ') £V( cm ') gi gk

Type of

Transition Aid (sec ') S(at.u.)

Accuracy Source

4 2JJO 2p°

[2740.4] [67420] [103900] 6 4 m 11 0.0336 C 1 [2740.4] [67420] [103900] 6 4 e 0.38 0.14 D 2

[2763.1] [67140] [103320] 4 2 m 12 0.0188 c 1 [2763.1] [67140] [103320] 4 2 e 0.31 0.060 D 2

[2784.7] [67420] [103320] 6 2 e 0.20 0.040 D 2

[2719.5] [67140] [103900] 4 4 m 20 0.060 C 1 [2719.5] [67140] [103900] 4 4 e 0.17 0.059 D 2

5 2p° 2po

[17.24 X 104

] [103320] [103900] 2 4 m 0.00175 1.33 B 1,2

[17.24 X 104

] [103320] [103900] 2 4 e 7.1 X 10- 14 2.6 X 10"5 D- 1, 2

Si ix

Ground State ls 2 2s22p2 :5 Po

Ionization Potential 350.96 eV = 2831470 cm-1

Allowed Transitions

Most data are obtained from the charge-expansion method of Cohen and Dalgarno [1] which

includes limited configuration mixing. Graphical comparisons of this material within the iso- electronic sequence depicting the dependence of /-values on nuclear charge have been made, and

the available experimental data for the lower ions, mostly from life time measurements, establish

fairly definitely that the uncertainties should not exceed 50 percent.

Reference

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

Si ix. Allowed Transitions

No. Transition

Array

Multiplet x(A) ftcnr 1 ) £7(0111-') gi gk Akii 10H sec ') Jik S(at.u.) l«>g gj AccuracySource

1 2s1 2p1 — 2s2p:i ip _ :i D

° 347.40 4452 292306 9 15 28 0.084 0.86 -0.12 D + 1

[349.96] 6460 292210 5 7 27 0.069 0.40 -0.46 D + Is [345.10] 2590 292360 3 5 21 0.062 0.21 -0.73 D -f Is [341.95] 0 292440 1 3 16 0.085 0.096 -1.07 D- Is [349.77] 6460 292360 5 5 6.8 0.013 0.072 -1.19 D- Is [345.01] 2590 292440 3 3 12 0.021 0.072 -1.20 D- Is [349.67] 6460 292440 5 3 0.76 8.3 X 10- 4 0.0048 -2.38 E Is

2 up _ :ip° 294.44 4452 344080 9 9 70 0.091 0.79 -0.09 D 1

[296.19] 6460 344080 5 5 51 0.068 0.33 -0.47 D Is [292.83] 2590 344080 3 3 18 0.023 0.066 -1.16 D Is [296.19] 6460 344080 5 3 29 0.023 0.11 -0.94 D Is [292.83] 2590 344080 3 1 71 0.030 0.088 -1.05 D Is [292.831 2590 344080 3 5 18 0.038 0.11 -0.94 D Is [290.63] 0 344080 1 3 24 0.092 0.088 -1.04 D Is

96
Si ix. Allowed Transitions — Continued

No. Transition

Array

Multiplet xiA) Eilcm' 1 ) £V(cm-') ft ft- /h,(10K sec-') Jit; ,S(at.u.) log A/’ Accuracy Source

3

:i P — :, S° 225.97 4452 446980 9 3 390 0.10 0.67 -0.05 D + 1

[227.00] 6460 446980 5 3 210 0.099 0.37 -0.31 D + Is [225.03] 2590 446980 3 3 130 0.099 0.22 -0.53 D + Is [223.72] 0 446980 1 3 45 0.10 0.074 -1.00 0 + Is

4 'D-'D° [258.10] [52960] [440410] 5 5 200 0.20 0.85 0.00 D 1

5 'D-'P0 [227.35] [52960] [492820] 5 3 250 0.12 0.44 -0.22 D 1

6 'S-'P° [259.71] [107780] [492820] 1 3 66 0.20 0.17 -0.70 D- 1

Si ix

Forbidden Transitions

The adopted values represents, as in the case of Na VI, the work of Naqvi [1], Malville and

Berger [2], and Froese [3]. For the selection of values, the same considerations as for Navi are applied, the one exception being that Freese's magnetic dipole values are also used. Since the

observed energy levels are uncertain, it is felt that the £ and iq calculated from her theoretical

energy levels will be as accurate as the experimental ones.

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M. and Berger, R. A., Planetary and Space Science 13, 1131-1136 (1965).

[3] Froese, C., Astrophys. J. 145, 932-935 (1966).

Si ix. Forbidden Transitions

No.

Transition

Array Multiplet mA) E, (cm 1 ) Fa (cm ') ft ft

Type of

Transition

4a/

(

sec ') S( at.u.)

Accuracy Source

1 2p2 — 2p2 :i P — :! P

[38600] 0 2590 1 3 m 0.311 1.99 B 1 [15476] 0 6460 1 5 e 6.1 X 10-K 0.0162 C 3 [25833] 2590 6460 3 5 m 0.779 2.49 B 1,3

[25833] 2590 6460 3 5 e 1.05 x I0"fi 0.0360 C 3

2

;i P — 1 D

[1888.2] 0 [52960] 1 5 e 5.0 x 10-4 3.6 X 10-"’ D 3 [1985.3] 2590 [52960] 3 5 m 8.0 0.0117 C 1, 2. 3

[1985.3] 2590 [52960] 3 5 e 0.0018 1.6 X 10-4 D 3

[2149.9] 6460 [52960] 5 5 m 18.9 0.0348 C 1. 2. 3

[2149.9] 6460 [52960] 5 5 e 0.0083 0.0011 D 3

3 •'P-'S

[950.66] 2590 [107780] 3 1 m 210 0.0067 C 2. 3

[986.97] 6460 [107780] 5 1 e 0.17 9.6 X 10-"’ D 3

4 •D-'S

[1824.2] [52960] [107780] 5 1 e 5.4 0.065 C 3

97
Ground State Is 2 2s2 2p "Pj/2

Si X

Ionization Potential 401.3 eV = 3237400 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A) No. Wavelength [A] No. Wavelength [Aj No.

50.524 10 280.03 6 360.63 7 50.691 10 280.32 6 361.13 7 50.703 10 287.25 4 391.85 9

253.81 3 289.28 4 392.43 9

256.58 3 292.31 4 398.50 9

258.39 3 347.43 1 399.11 9

261.27 3 348.71 5 540.95 8

272.00 2 349.00 5 553.71 8

277.27 2 356.07 1 554.45 8

Values for the majority of the transitions are calculated from the nuclear charge-expansion

method of Cohen and Dalgarno [1], which includes limited configuration mixing. Graphical comparisons with other data for the lower ions of this isoelectronic sequence indicate that the uncertainties should be within 50 percent.

For the 2p2 P° — 3d2 D multiplet we have obtained data by exploiting the dependence of/-values on nuclear charge: In this case accurate data for several other ions of the boron sequence are

available from extended self-consistent field calculations by Weiss [2] in which configuration mixing

is fully included. Utilizing those values, which are also supported by some experimental results on

lower ions, we have obtained for this ion the /-value of the above multiplet simply by graphical

interpolation.

References

[1] Cohen, M.. and Dalgarno, A.. Proc. Roy. Soc. London A280, 258-270 (1964).

[2] Weiss, A. W., private communication (1967).

Si X. Allowed Transitions

No. Transition

Array

Multiplet MA) £i(cm-') EiA cm-') gi gk A/, j( 10K sec 1 ) fk S(at.u.) lug gf AccuracySource

1 2s*2p — Zs'2p~ -P°--D 353.14 4660 287830 6 10 23 0.073 0.51 -0.36 D 1

[356.07] 6990 287830 4 6 23 0.066 0.31 -0.58 D Is [347.431 0 287830 2 4 21 0.074 0.17 -0.83 D Is [356.07] 6990 287830 4 4 3.8 0.0073 0.034 -1.53 E Is

2 2p°_, s 275.49 4660 367650 6 2 97 0.037 0.20 -0.65 D + 1

[277.27] 6990 367650 4 2 62 0.036 0.13 -0.84 D + Is [272.00] 0 367650 2 2 34 0.037 0.067 -1.13 D + Is

98
Si X. Allowed Transitions — Continued

No. Transition

Array

Multiplet \(A) Ei(cm') £*(<• m ') gi gk /<*/( 10" sec-') fik S(at.u.) l<>{£ gf Accuracy

Source

3

, p°_ 2 p 257.79 4660 392580 6 6 180 0.18 0.90 0.03 D + 1

[258.39] 6990 394000 4 4 150 0.15 0.50 -0.22 D + Is [256.58] 0 389740 2 2 120 0.12 0.20 -0.62 D + Is [261.27] 6990 389740 4 2 57 0.029 0.10 -0.94 D + Is [253.81] 0 394000 2 4 31 0.060 0.10 -0.92 D + Is

4 2s2p- — 2p:i 4p_4S

° 290.44 [165888] [510190] 12 4 170 0.071 0.81 -0.07 D + 1

[292.31] [ 168090] [510190] 6 4 83 0.071 0.41 -0.37 D + Is [289.28] [164500] [510190] 4 4 56 0.071 0.27 -0.55 D + Is [287.25] [162060] [510190] 2 4 30 0.074 0.14 -0.83 D + Is

5 -D--D° 548.89 287830 574456 10 10 48 0.087 1.0 -0.06 D + 1 ‘349.00 287830 574360 6 6 44 0.081 0.56 -0.31 D + Is 348.71 287830 574600 4 4 43 0.078 0.36 -0.51 D + Is [348.71] 287830 574600 6 4 4.8 0.0058 0.040 - 1.46 E Is [349.00] 287830 574360 4 6 3.2 0.0087 0.040 -1.46 E Is

6 " D — - p° 280.18 287830 [644813] 10 6 78 0.055 0.51 -0.26 D 1

[280.03] 287830 [644940] 6 4 72 0.056 0.31 -0.47 D Is [280.32] 287830 [644560] 4 2 78 0.046 0.17 -0.74 D Is [280.03] 287830 [644940] 4 4 7.8 0.0092 0.034 -1.43 E Is

7

- S — -P° 360.80 367650 [644813] 2 6 15 0.088 0.21 -0.75 D 1

[360.63] 367650 [644940] 2 4 15 0.059 0.14 -0.93 D Is [361.13] 367650 [644560] 2 2 15 0.029 0.070 -1.24 D Is

8

2 p_,D

° 549.83 392580 574456 6 10 12 0.092 1.0 -0.26 D 1

[554.45] 394000 574360 4 6 12 0.082 0.60 -0.48 D Is [540.95] 389740 574600 2 4 11 0.093 0.33 -0.73 D Is [553.71] 394000 574600 4 4 2.0 0.0092 0.067 -1.43 E Is

9

, p _,p° 396.46 392580 [644813] 6 6 50 0.12 0.92 -0.14 D 1

[398.50] 394000 [644940] 4 4 41 0.097 0.51 -0.41 D Is [392.43] 389740 [644560] 2 2 34 0.077 0.20 -0.81 D Is [399.11] 394000 [644560] 4 2 16 0.019 0.10 -1.12 D Is [391.85] 389740 [644940] 2 4 8.4 0.039 0.10 -1.11 D Is

10 2p-('S)Zd 2 P° — -D 50.636 4660 1979542 6 10 9800 0.63 0.63 0.58 C interp

[50.691] 6990 1979730 4 6 9800 0.57 0.38 0.36 C Is [50.524] 0 1979260 2 4 8200 0.63 0.21 0.10 C Is [50.703] 6990 1979260 4 4 1600 0.063 0.042 -0.60 D

1

Is

99
Si X

Forbidden Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

431.15 5 501.10 4 3794.0 8

435.73 5 795.10 3 4525.7 8

439.21 5 810.83 3 14302 1 442.65 5 835.14 3 16579 2 443.97 5 941.89 7 23468 9

451.16 5 981.26 7 27848 2 486.40 4 1252.8 6 40972 2 492.25 4

For all the values on this ion Garstang[l] is the only available source. The transition probability

of the magnetic dipole transition in the ground state 2p configuration should be quite accurate,

since it does not depend on the interaction parameters. The rest of the magnetic dipole values

should be good to within 25 percent since the energy levels are experimentally known.

The electric quadrupole integral sQ was determined by two independent methods: (a) extrapolation within the isoelectronic sequence and (b) by using the Coulomb approximation. The two

results agreed in predicting an s(/ of 0.20.

Reference

[1] Garstang, R. H., Ann. Astrophys. 25, 109 (1962).

Si X. Forbidden Transitions

No.

Transition

Array Multiplet mA) Ei( cm ') £a( cm ’) gi gk

Type of

Transition Ahi (sec ') S(at.u.)

Accuracy Source

1 2p — {'S)2p 2p° 2p°

[14302] 0 6990 2 4 m 3.07 1.33 A 1 [14302] 0 6990 2 4 e 1.5 x 10~5 0.021 D 1

2 2s2p2 — 2s2p2 4p_4P

[40972] [162060] T 164500 2 4 m 0.32 3.26 C 1 [40972] [162060] [164500 2 4 e 7.6 x 10_!* 0.0021 D 1 [16579] [162060] [168090 2 6 e 4.2 x 10-“ 0.019 D 1 [27848] [164500] [168090 4 6 m 0.74 3.56 C 1 [27848] [164500] [168090] 4 6 e 4.4 X 10^ 7 0.026 D 1

3

4 P _->D

[795.10] [162060] 287830 2 4 m 4.8 3.58 X 10 4 C 1 [795.10] [162060] 287830 2 4 e 0.024 1.8 X 10-5 D 1 [810.83] [164500] 287830 4 4 m 18 0.00142 C 1 [810.83] [164500] 287830 4 4 e 0.0010 8.3 x 10^ 7 D 1 [835.14] [168090] 287830 6 4 m 5.7 4.92 x 10-* C 1 [835.14] [168090] 287830 6 4 € 0.29 2.8 x 10" 4 D 1 [795.10] [162060] 287830 2 6 e 0.0038 4.3 x 10-fi D 1 [810.83] [164500] 287830 4 6 m 10 0.00119 C 1 [810.83] [164500] 287830 4 6 e 0.26 3.3 x 10-4 D 1 [835.14] [168090] 287830 6 6 m 47 0.0061 C 1 [835.14] [168090] 287830 6 6 e 0.080 1.2 X 10-4 D 1

100
Six. Forbidden Transitions — Continued

No.

Transition

Array Multiplet X(A) Ei ( cm ') Ek ( cm ') gi gk

Type of

Transition Aki (sec ') S(at.u.)

Accuracy Source

4 4p-2S

[486.40] [162060] 367650 2 2 m 60 5.1 X 10-4 C 1 [492.25] [164500] 367650 4 2 m 240 0.00212 C 1 [492.25] [164500] 367650 4 2 e 0.0072 2.5 X 10~ 7 D 1 [501.10] [168090] 367650 6 2 e 0.15 5.6 X 10-« D 1

5 4p_2p

[439.21] [162060] 389740 2 2 m 13 8.2 x 10~5 C 1 [443.97| [ 164500] 389740 4 2 m 7.6 4.93 x 10--’ C 1 [443.97] [164500] 389740 4 2 e 0.10 2.0 x l0-« D 1 [451.16] [168090] 389740 6 2 e 0.057 1.3 X 10-fi D 1 [431.15] [ 162060] 394000 2 4 m 5.0 5.9 X 10-’ C 1 [431.15] [162060] 394000 2 4 e 0.027 9.5 x 10- 7 D 1 [435.73] [164500] 394000 4 4 m 8.4 1.03 x 10-4 C 1 [435.73] [164500] 394000 4 4 e 0.097 3.6 x 10-" D 1 [442.65] [168090] 394000 6 4 m 13 1.67 X 10~4 C 1 [442.65] [168090] 394000 6 4 e 0.043 1.7 X 10-« D 1

6 -D — J S

[1252.8] 287830 367650 4 2 m 0.16 2.33 x 10-’ C 1 [1252.8| 287830 367650 4 2 e 9.0 0.033 D 1 [1252.8] 287830 367650 6 2 e 13 0.049 D 1

7 -D — J P

[981.26] 287830 389740 4 2 m 14 9.8 x 10-4 C 1 [981.26] 287830 389740 4 2 e 0.67 7.3 x 10-4 D 1 [981.26] 287830 389740 6 2 e 1.3 0.0014 D 1 [941.89] 287830 394000 4 4 m 26 0.00322 C 1 [941.89] 287830 394000 4 4 e 0.053 9.4 X 10-’ D 1 [941.89] 287830 394000 6 4 m 15 0.00186 C 1 [941.89] 287830 394000 6 4 e 0.0075 1.3 x 10-’ D 1

8 -S--P

[4525.7] 367650 389740 2 2 m 11 0.076 C 1 [3794.0] 367650 394000 2 4 m 4.6 0.0373 C 1 [3794.0] 367650 394000 2 4 e 2.0 X 10-4 3.7 x 10~4 D 1

9 - P - P

[23468] 389740 394000 2 4 m 0.67 1.28 C 1 [234681 389740 394000 2 4 e 1.2 x 10-6 0.020 D 1

Si XI

Ground State l5 2 2s2 'So

Ionization Potential 476.0 eV = 3840470 cm-1

Allowed Transitions

Garstang and Shamey [1] have obtained the /-value for the intercombination line 2'So —

2

:! Pi

by calculating the ratio of this line against the resonance transition in the intermediate coupling

approximation and by using for the resonance line a value calculated according to Cohen and

Dalgarno’s method [2]. The data calculated from the charge-expansion method of Cohen and

Dalgarno, [2] which includes limited configuration mixing, are estimated to be usually accurate to 50 percent or better, while the charge-expansion method of Naqvi and Victor [3] should be less

101
reliable when the effects of configuration interaction are strong, since these are neglected entirely. In assigning the accuracy estimates for these methods as well as for the Coulomb approximation

we were to a great extent guided by studying the degree of fit of the data into the systematic trends

along isoelectronic sequences.

References

[1] Garstang, R. H.. and Shamey, L. J., Astrophys. J. 148, 665-666 (1967).

[2] Cohen. M., and Dalgarno. A., Proc. Roy. Soc. London A280, 258-270 (1964).

[3] Naqvi. A. M.. and Victor. C. A.. Technical Documentary Report No. RTD TDR — 63-3118 (1964).

Si XI. Allowed Transitions

No. Transition

Array

Multiplet A( A) Ej( cm -1

) Ek{cm~') & A'a- T,(10K sec 1

1 /« S(at.u.) Accuracy

Source

1 2s 2 -2s( 2 S)2p ’S — : *p°

[582.89] 0 [171560] 1 3 0.0050 7.6 x 10-5 1.4 X 10-4 -4.12 D In

2

, S _'P° [303.58] 0 329400 1 3 64 0.264 0.264 -0.58 C 2

3 2s2p — 2p2 :sp° :q> 365.08 [ 174208

[448122] 9 9 51 0.10 1.1 -0.05 D + 2

[365.42] [176810] [450470] 5 5 38 0.076 0.46 -0.42 D + Is [364.50] [171560] [445910] 3 3 13 0.026 0.092 -1.11 D- Is [371.61] [176810] [445910] 5 3 20 0.025 0.15 -0.90 D- Is [368.38] [171560] [443020] 3 1 49 0.033 0.12 -1.00 D- Is [358.54] [171560] [450470] 3 5 13 0.042 0.15 -0.90 D- Is [361.31] [169140] [445910] 1 3 17 0.10 0.12 -1.00 D- Is

4 X

o 1 6 [609.76] 329400 493400 3 5 11

" 0.11 0.64 -0.48 D- 2

5 .p°-'S [359.41] 329400 607630 3 1 100 0.068 0.24 -0.69 E 2

6 2s2 — 2s( 2 S)3p 'S-'P° [43.763] 0 2285040 1 3 7200 0.62 0.089 -0.21 E 3

7 2s2p — t p°_ ig [52.299] 329400 2241480 3 1 580 0.0079 0.0041 -1.63 E 3

2s(

2 S)3s

8 2s3s — i S _ip° [2295.0] 2241480 2285040 1 3 0.68 0.160 1.21 -0.80 C 3

2s(

2 S)3p

9 2s3p — 'P°— 'D [1316.3] 2285040 2361010 3 5 3.04 0.132 1.71 -0.402 C ca

2s{ 2 S)3d

10 2p3p — ' D — 1 F° ["2040.6] 2532140 2581130 5 7 0.83 0.073 2.44 -0.438 C ca 2p( 2P°)3d

Si XI

Forbidden Transitions

The transition probability for that part of the 2s2 ’So — 2s2/; :, P2 transition which is magnetic

quadrupole radiation is taken from calculations of Garstang [1]. We have renormalized his result

using for the resonance line a transition integral calculated by the method of Cohen and Dalgarno [2] (see also Allowed Transitions; for the addition of transition probabilities arising from

various types of radiation, see the General Introduction; for the relation of Aa-/ (m.q.) to other

quantities [1]).

102
Naqvi’s calculations [3] are the only available source for the other transitions. The results

for the :! P° — { P° lines are essentially independent of the choice of the interaction parameters. For

the :i P° — 'P° transitions, Naqvi uses empirical term intervals, i.e., the effects of configuration

interaction should be partially included.

References

[1] Carstang, R. H., Astrophys. J. 148, 579-584 (1967).

[2] Cohen, M. and Dalgarno, A.. Proc. Roy. Soc. London A280, 258-270 (1964).

[3] Naqvi, A. M., Thesis Harvard (1951).

Si XI. Forbidden Transitions

No.

Transition

Array Multiplet M A) Ei (cm ') £a( cm '•) gi gk

Type of

Transition A (sec 1 ) S(at.u.)

Accuracy Source

1 2s- — 25(-S)2p S- :i P°

565.58 0 [176810] 1 5 m.q. 0.14 E 1, 2

2 2s2p — 2s(-S)2p :sp° :jpo

[41311] [169140] [171560] 1 3 m 0.255 2.00 A 3

[19042] [171560] [176810] 3 5 m 1.95 2.50 A 3

3

"C0 1 *0o [623.99] [169140] 329400 1 3 m 39.2 0.00106 C 3

[633.55] [171560] 329400 3 3 m 1220 0.0346 c 3

[655.35] [176810] 329400 5 3 m 42.5 0.00133 c 3

Si XII

Ground State ls-2s -Si •>

Ionization Potential 523.2 eV = 4221460 cm-'

Allowed Transitions

For the transition 2s~2p, the charge-expansion calculation of Cohen and Dalgarno [1] is chosen. An uncertainty of less than 10 percent is indicated from the graphical comparison of this

value with the other material for the same transition within the isoelectronic sequence. Data for

the other listed transitions have been obtained from the Coulomb approximation. Plots of the

dependence of /-value on nuclear charge for all these transitions have been made and show that

this material connects up very smoothly with the data for the lower ions as well as with the hydrogenic value for infinite nuclear charge. Based on this impressive agreement, accuracies of 10

percent (or 25 percent for some of the smaller values) are indicated.

References

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

103
Si XII. Allowed Transitions

No. Transition

Array

Multiplet A( A) £'/(om ') EkWm-') f-'i A'/.- ,4a,

10* sec 1 ) fu .Slat.u.) «/’ Accuracy

Source

1 2s — 2p 2 S _2P

o 506.35 0 197493 2 6 9.36 0.108 0.360 -0.666 B 1

[499.28] 0 200290 2 4 9.77 0.0730 0.240 -0.836 B Is [521.10] 0 191900 2 2 8.59 0.0350 0.120 -1.155 . B Is

2 2p — 3s 2p°_2g 45.598 197493 2390580 6 2 1990 0.0207 0.0186 -0.906 B ca

[45.656] 200290 2390580 4 2 1320 0.0207 0.0124 -1.082 B Is [45.482] 191900 2390580 2 2 668 0.0207 0.00620 -1.383 B Is

3 2p — 3d

2 P°_2]) 44.118 197493 2464134 6 10 1.39 x 104 0.675 0.588 0.607 B ca

[44.165] 200290 2464530 4 6 1.38 x 104 0.607 0.353 0.385 B Is [44.021] 191900 2463540 2 4 1.16 x 104 0.676 0.196 0.131 B Is [44.184] 200290 2463540 4 4 2300 0.0674 0.0392 -0.569 B Is

104
PHOSPHORUS

Pi

Ground State ls22s22p(i 3s23/r! 4 S.°/2

Ionization Potential 10.484 e V = 84580 cm" 1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

1534.7 4 5098.20 16 7486.79 24

1534.73 4 5100.96 16 7496.23 24

1671.68 1 5109.62 16 7505.76 24

1674.61 1 5149.46 15 7563.63 24

1679.71 1 5154.84 15 7600.7 24

1719.00 3 5162.28 15 7834.2 25

1725.85 3 5166.8 16 7917.84 25

1774.99 2 5189.9 15 7953.9 25

1782.87 2 5222.1 15 8002.63 25

1787.68 2 5258.1 15 8046.79 25

1858.91 7 5262.07 19 8090.08 25

1859.43 7 5293.53 19 8139.1 25

2135.47 6 5345.86 19 8190.4 25

2136.18 6 5378.32 19 8637.62 20

2149.14 6 5458.31 18 8741.54 20

2152.94 10 5477.75 18 9175.85 13

2154.08 10 5548.49 18 9304.88 13 2222.57 5 6673.71 21 9525.78 13

2223.35 5 6717.42 21 9563.45 12 2234.95 5 6979.76 23 9593.54 12

2235.73 5 6985.2 23 9608.97 12 2242.53 5 7001.54 23 9734.74 12 2533.99 9 7017.32 23 9750.73 12 2535.61 9 7051.93 23 9790.08 14

2553.25 9 7084.2 23 9796.79 12

2554.90 9 7102.21 23 9903.74 14

2659.4 8 7154.03 23 9976.65 12 2675.31 8 7158.37 22 10084.2 14

2677.13 8 7165.45 22 10204.7 14

2686.17 8 7175.12 22 10511.4 11

2688.00 8 7176.66 22 10529.5 11 4978.11 17 7197.83 22 10581.5 11 5015.86 17 7235.49 22 10596.9 11 5045.40 16 7268.33 22 10681.4 11 5059.20 16 7282.38 22 10769 11

5061.91 16 7343.11 22 10813.0 11 5079.37 17 7459.80 24 10974 11

Varsavsky’s value [1] for the 3s2 3/P 4S° — 3sSp4 4 P multiplet, calculated by means of a screenin'/: approximation which neglects the important effects of configuration interaction, should be

quite uncertain — probably too high as judged from other comparisons. Results of lifetime meas- urements and intermediate coupling calculations by Lawrence [2] have been adopted for many

lines in the uv region. The measured lifetimes have been used by Lawrence to provide an absolute

105
scale for the calculated transition probabilities. The /-values of transitions involving a change in

spin (intercombination lines) are expected to be rather uncertain, since they are quite small.

The above two sources cover only a small portion of the known multiplets of this atom. Thus

the Coulomb approximation has been extensively employed in order to have at least some of the

remaining prominent lines represented. Since there is very little comparison material available

for analogous transitions, these values should be used cautiously, particularly those transitions

with accuracy assignments of “E”, since severe cancellation in the transition integral occurs

for the latter. Additional uncertainties in these data may be due to deviations from LS-coupling.

There are indications from the energy level spacings that some deviations may be encountered.

References

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, 75-108 (1961).

[2] Lawrence, G. M., Astrophys. J. 148 , 261-268 (1967).

P I. Allowed Transitions

No. Transition Multiplet A(A) Eiivm M £a(c m ‘) Pi Pk A,J 10s sec- 1 ) Jik S(at.u.) l«*g pf Aceu- Source

Array racy

1 3s2 3p:i — 3s3p4 4S°_4p 1676.6 0 59648 4 12 11 1.4 30 0.74 E 1 (2 uv)

1679.71 0 59535 4 6 11 0.68 15 0.43 E Is 1674.61 0 59716 4 4 11 0.45 10 0.26 E Is 1671.68 0 59820 4 2 11 0.23 5.0 -0.04 E Is

2 3p:! — 4S°_4P 1779.7 0 56190 4 12 2.16 0.307 7.2 0.089 C 2 3p2

(

:! P)4s (1 uv)

1774.99 0 56340 4 6 2.17 0.154 3.59 -0.210 c 2 1782.87 0 56090 4 4 2.14 0.102 2.39 -0.389 c 2 1787.68 0 55939 4 2 2.13 0.051 1.20 -0.69 c 2

3

4 S° — 2 P

1719.00 0 58174 4 4 0.0026 1.2 X 10- 4 0.0026 -3.32 E 2 1727.85 0 57877 4 2 0.0015 3.4 X 10-’ 7.6 x 10 4 -3.87 E 2

4 3p:! — 4 S°_ 2 D

3p2 ('D)4s'

1534.73 0 65157 4 6 4.4 X 10- 4 2.3 X 10-’ 4.7 x 10~4 -4.04 E 2 [1534.7] 0 65157 4 4 8.2 x 10-’ 2.9 x 10-« 5.9 x 10-’ -4.94 E 2

5 3p:! — 2 D° — 4 P

3p2

(

:! P)4s (3 uv)

2223.35 11376 56340 6 6 8.8 x 10 4 6.5 x 10-’ 0.0029 -3.41 E 2 2234.95 11362 56090 4 4 0.0013 9.7 x 10-’ 0.0029 -3.41 E 2

2235.73 11376 56090 6 4 0.0062 3.1 x 10-4 0.014 -2.73 E 2

2242.53 11362 55939 4 2 0.0040 1.5 x 10-4 0.0045 -3.22 E 2 2222.57 11362 56340 4 6 5.4 X 10’ 6.0 x 10-‘; 1.8 x 10-4 -4.62 E 2

6 Cu o 1 cu a 2140.4 11870 58075 10 6 3.06 0.126 8.9 0.100 C 2

(4 uv)

2136.18 11376 58174 6 4 2.83 0.129 5.4 -0.111 C 2

2149.14 11362 57877 4 2 3.18 0.110 3.12 -0.357 C 2 2135.47 11362 58174 4 4 0.211 0.0144 0.406 -1.240 c 2

7 3p:! — 2 D° — 2 D 1 859.2 11870 65157 10 10 2.81 0.145 8.9 0.161 c 2

3p2

( 'D)4s' (5 uv)

1859.43 11376 65157 6 6 2.64 0.137 5.0 -0.085 c 2

1858.91 11362 65157 4 4 2.54 0.132 3.22 -0.277 c 2 1859.43 11376 65157 6 4 0.226 0.0078 0.287 -1.330 c 2

1858.91 11362 65157 4 6 0.232 0.0180 0.441 -1.143 c 2
Pi. Allowed Transitions — Continued

No. Transition

Array

Multiplet A( A) Ei(vm -’) £/, (<• m ') Pi A'/.- A,J 10K sec 1 ) Jik Slat.u.) l<>^ pf Accuracy Source

8 3p:i — 2p° 4 p

3p2

(

:i P)4s (7 uv)

2677.13 18748 56090 4 4 0.0013 1.4 x 10“ 4 0.0049 - 3.25 E 2 2686.17 18722 55939 2 2 3.9 X 10-4 4.2 x 10-5 7.5 X 10-4 - 4.08 E 2

[ 2659. 4 ] 18748 56340 4 6 4.1 X 10-7 6.5 x 10~* 2.3 X 10-6 - 6.59 E 2 2675.31 18722 56090 2 4 2.7 X 10~4 5.8 x 10-3 0.0010 - 3.94 E 2 2688.00 18748 55939 4 2 4.1 X 10~4 2.2 x 10-3 7.9 X 10“4 - 4.06 E 2

9

2p° 2p 2541.4 18739 58075 6 6 1.11 0.108 5.4 - 0.188 C 2

(8 uv)

2535.61 18748 58174 4 4 0.95 0.092 3.06 - 0.434 C 2 2553.25 18722 57877 2 2 0.71 0.069 1.17 -0.86 C 2 2554.90 18748 57877 4 2 0.300 0.0147 0.494 - 1.231 C 2 2533.99 18722 58174 2 4 0.200 0.0385 0.64 - 1.114 C 2

10 3p:i — 2 p

° 2 J) 2153.7 18739 65157 6 10 0.61 0.071 3.02 - 0.371 C 2

3p2('D)4s' (9 uv)

2154.08 18748 65157 4 6 0.58 0.061 1.72 - 0.61 C 2 2152.94 18722 65157 2 4 0.485 0.067 0.96 - 0.87 c 2 2154.08 18748 65157 4 4 0.173 0.0120 0.341 - 1.319 c 2

11 3p24s — 4p _ 4J)° 10604 56190 65618 12 20 0.20 0.57 240 0.84 D ca

3/P(

: i P) 4p ( 1 ) 10581.5 56340 65787 6 8 0.21 0.47 99 0.45 D Is 10529.5 56090 65585 4 6 0.15 0.37 51 0.17 D Is 10511.4 55939 65450 2 4 0.088 0.29 20 - 0.24 D Is 10813.0 56340 65585 6 6 0.060 0.10 22 - 0.20 D Is 10681.4 56090 65450 4 4 0.11 0.19 26 - 0.13 D Is 10596.9 55939 65373 2 2 0.17 0.29 20 - 0.24 D Is

L 10974 ] 56340 65450 6 4 0.0095 0.011 2.5 - 1.16 E Is

[ 10769 ] 56090 65373 4 2 0.033 0.029 4.1 - 0.94 E Is

12 4p 4p° 9744.9 56190 66449 12 12 0.26 0.36 140 0.64 D ca

( 2 ) 9796.79 56340 66544 6 6 0.18 0.26 50 0.19 D Is 9734.74 56090 66360 4 4 0.035 0.049 6.3 - 0.71 E Is 9608.97 55939 66343 2 2 0.044 0.062 3.9 - 0.91 E Is 9976.65 56340 66360 6 4 0.11 0.11 22 - 0.18 D Is 9750.73 56090 66343 4 2 0.22 0.15 20 - 0.21 D Is 9563.45 56090 66544 4 6 0.081 0.17 21 - 0.17 D Is 9593.54 55939 66360 2 4 0.11 0.31 19 0.21 D Is

13 4 P _4S

° 9391.5 56190 66835 12 4 0.29 0.13 47 0.18 D ca

( 3) 9525.78 56340 66835 6 4 0.14 0.13 24 - 0.12 D Is 9304.88 56090 66835 4 4 0.096 0.13 15 - 0.30 D Is 9175.85 55939 66835 2 4 0.050 0.13 7.6 - 0.60 D- Is

14 "P ~P° 10023 58075 68049 6 6 0.27 0.39 77 0.37 D ca

( 4 ) 10084.2 58174 68088 4 4 0.21 0.32 43 0.11 D Is 9903.74 57877 67971 2 2 0.18 0.26 17 - 0.29 D Is 10204.7 58174 67971 4 2 0.083 0.065 8.7 - 0.59 D- Is 9790.08 57877 68088 2 4 0.045 0.13 8.3 - 0.59 D- Is

15 3p2 4s — 4p_4 D

° 3p-( :{ P) 5p

5162.28 56340 75705 6 8 0.032 0.017 1.7 - 0.99 E ca. Is 5154.84 56090 75484 4 6 0.015 0.0091 0.62 - 1.44 E ca. Is 5149.46 55939 75353 2 4 0.0066 0.0052 0.18 - 1.98 E ca. Is

[ 5222 . 1 ] 56340 75484 6 6 0.0058 0.0024 0.24 - 1.85 E ca. Is

[ 5189. 9 ] 56090 75353 4 4 0.0075 0.0030 0.21 - 1.92 E ca. Is

[ 5258. 1 ] 56340 75353 6 4

1 5.7 x 10“4 1.6 X 10-4 0.016 - 3.03 E ca. Is

308-022 0-69—10 107
Pi. Allowed Transitions — Continued

No. Transition

Array

Multiplet a(A) £i(cm_l

) Fa (cm" 1 ) ft A'a /1a,

10* see ') fik S(at.u.) l<4-r Accuracy

Source

16 4p _ 4p° 5098.3 56190 75799 12 12 0.042 0.016 3.3 -0.71 E ca

5109.62 56340 75905 6 6 0.034 0.013 1.3 -1.10 E Is 5100.96 56090 75689 4 4 0.0046 0.0018 0.12 -2.14 E Is 5059.20 55939 75700 2 2 0.0063 0.0024 0.080 -2.32 E Is [5166.8] 56340 75689 6 4 0.014 0.0037 0.38 -1.65 E Is 5098.20 56090 75700 4 2 0.029 0.0057 0.38 -1.64 E Is 5045.40 56090 75905 4 6 0.016 0.0090 0.60 -1.44 E Is 5061.91 55939 75689 2 4 0.015 0.012 0.39 -1.63 E Is

17 4p_4S

° 5041.0 56190 76022 12 4 0.059 0.0075 1.5 -1.04 E ca

5079.37 56340 76022 6 4 0.029 0.0074 0.75 -1.35 E Is 5015.86 56090 76022 4 4 0.020 0.0077 0.51 -1.51 E Is 4978.11 55939 76022 2 4 0.011 0.0079 0.26 -1.80 E Is

18 "P “D° 54 75.8 58075 76332 6 10 0.052 0.039 4.2 -0.63 E ca

5477.75 58174 76425 4 6 0.057 0.038 2.8 -0.81 E Is 5458.31 57877 76192 2 4 0.038 0.034 1.2 -1.17 E Is 5548.49 58174 76192 4 4 0.0066 0.0031 0.22 -1.91 E Is

19 ,p_,p° 5328.4 58075 76837 6 6 0.087 0.037 3.9 -0.65 E ca

5345.86 58174 76875 4 4 0.073 0.031 2.2 -0.90 E Is 5293.53 57877 76762 2 2 0.058 0.024 0.84 -1.32 E Is 5378.32 58174 76762 4 2 0.027 0.0060 0.42 -1.62 E Is 5262.07 57877 76875 2 4 0.015 0.013 0.44 -1.60 E Is

20 3p-4p — - S

° — -P 8706.9 64240 75722 2 6 0.087 0.30 17 -0.23 D ca 3p2

(

:! P)4rf

8741.54 64240 75676 2 4 0.091 0.21 12 -0.38 D Is 8637.62 64240 75814 2 2 0.079 0.089 5.1 -0.75 D Is

21 3p-4p — 2 S°_2p 6702.8 64240 79155 2 6 0.048 0.097 4.3 -0.71 E ca

3p-’( :i P)5d

6717.42 64240 79122 2 4 0.050 0.067 3.0 -0.87 E Is 6673.71 64240 79220 2 2 0.045 0.030 1.3 -1.22 E Is

22 4 D° — 4F 7181.4 65618 79539 20 28 0.053 0.057 27 0.06 E ca

7175.12 65787 79721 8 10 0.033 0.032 6.0 -0.60 E Is 7176.66 65585 79515 6 8 0.047 0.049 6.9 -0.53 E Is 7165.45 65450 79402 4 6 0.050 0.058 5.5 -0.65 E Is 7158.37 65373 79339 2 4 0.051 0.078 3.7 -0.81 E Is 7282.38 65787 79515 8 8 0.0081 0.0065 1.2 -1.29 E Is 7235.49 65585 79402 6 6 0.017 0.013 1.9 -1.11 E Is 7197.83 65450 79339 4 4 0.020 0.016 1.5 -1.20 E Is 7343.11 65787 79402 8 6 6.5 X 10-4 4.0 x 10-4 0.076 -2.50 E Is 7268.33 65585 79339 6 4 0.0015 7.7 x 10-4 0.11 -2.33 E Is

23 4 D° — 4 D

7102.21 65787 79864 8 8 0.0036 0.0027 0.51 -1.66 E ca. Is 7051.93 65585 79762 6 6 0.0037 0.0028 0.39 -1.78 E ca. Is 7017.32 65450 79697 4 4 0.0032 0.0024 0.22 -2.02 E ca. Is 7154.03 65787 79762 8 6 0.0013 7.6 x 10-4 0.14 -2.21 E ca. Is [7084.2] 65585 79697 6 4 0.0029 0.0015 0.21 -2.05 E ca. Is 7001.54 65585 79864 6 8 5.4 x 10~4 5.3 x 10" 4 0.073 -2.50 E ca. Is [6985.2] 65450 79762 4 6 0.0014 0.0016 0.14 -2.20 E ca. Is 6979.76 65373 79697 2 4 0.0020 0.0029 0.13 -2.24 E ca. Is

108
Pi. Allowed Transitions — Continued

No. Transition

Array

Multiple! X(A) £i(cnr') Ek ( cm-') & A'a- 10* sec

-1

) fik ,S(at.u.) log gf Accuracy

Source

24 -c 0 1 >u a

7505.76 66544 79864 6 8 0.018 0.020 3.0 -0.92 E ca, Is 7459.80 66360 79762 4 6 0.018 0.022 2.2 -1.05 E ca , Is 7486.79 66343 79697 2 4 0.013 0.021 1.1 -1.37 E ca , Is 7563.63 66544 79762 6 6 0.0079 0.0068 1.0 -1.39 E ca , Is 7496.23 66360 79697 4 4 0.016 0.014 1.4 -1.26 E ca , Is [7600.7] 66544 79697 6 4 0.0016 9.2 X 10-4 0.14 -2.26 E ca. Is

25 3p-4p — 4 D° — 4 P 8055.2 65618 78029 20 12 0.030 0.017 9.2 -0.46 D- ca

3p-( :i P)65

8046.79 65787 78211 8 6 0.023 0.017 3.6 -0.86 D- Is 8090.08 65585 77942 6 4 0.020 0.013 2.0 -1.11 D- Is [8190.4] 65450 77656 4 2 0.015 0.0075 0.81 -1.52 E Is 7917.84 65585 78211 6 6 0.0053 0.0049 0.77 -1.53 E Is 8002.63 65450 77942 4 4 0.010 0.0097 1.0 -1.41 E Is [8139.1] 65373 77656 2 2 0.015 0.015 0.81 -1.52 E Is [7834.2] 65450 78211 4 6 5.8 x 10—

8.1 X 10-4 0.083 -2.49 E Is [7953.9] 65373 77942 2 4 0.0016 0.0030 0.16 -2.22 E Is

Pj

Forbidden Transitions

All the values for this atom are taken from the work of Czyzak and Krueger [1], since they

have included the important effects of configuration interaction and have used self-consistent

field wavefunctions with exchange to obtain their value of s (l

. (For a more complete discussion

see the General Introduction).

Reference

[1] Czyzak, S. J. & Krueger, T. K., Monthly Notices Roy. Astron. Soc. 126, 177—194 (1963). Pi. Forbidden Transitions

No.

Transition

Array Multiplet a(A) Ej( cm 4 ) £A-(cm ') gi

Type of

Transition Aki ( sec 1 ) S(at.u.)

Accuracy Source

1 3p:i — 3p:i 4 S°--D°

(IF) 8787.6 0.0 11376.4 4 6 m 9.1 X 10« 1.37 x 10-* C 1 8787.6 0.0 11376.4 4 6 e 1.9 x 10-4 0.035 D 1 8799.1 0.0 11360.8 4 4 m 1.77 X 10-4 1.79 X 10--’ C 1 8799.1 0.0 11360.8 4 4 e 1.2 x 10- 4 0.015 D 1

2

4 S

° -P°

(2F) 5332.4 0.0 18748.0 4 4 m 0.108 0.00243 C 1 5332.4 0.0 18748.0 4 4 e 3.3 x 10- 7 3.4 x 10-K D 1 5339.7 0.0 18722.7 4 2 m 0.0426 4.81 X 10-4 C 1 5339.7 0.0 18722.7 4 2 e 4.7 x 10-“ 2.4 x 10-5 D 1

3 -D° — -D°

[64.09 X 105

] 11360.8 11376.4 4 6 m 4.10 x 10-s 2.40 B 1 [64.09 X 105

] 11360.8 11376.4 4 6 e 7.7 x 10 _IK 0.30 L) 1

109
P i. Forbidden Transitions — Continued

No.

Transition

Array Multiplet MA) £,-(cm ') £t(cm ') g> gk

Type of

Transition4 A,(sec ’) S(at.u.)

Accuracy Source

4 "D° — - P

° [13562] 11376.4 18748.0 6 4 m 0.0190 0.0070 C 1 [13562] 11376.4 18748.0 6 4 e 0.094 103 C 1 [13580] 11360.8 18722.7 4 2 m 0.0211 0.00392 C 1 [13580] 11360.8 18722.7 4 2 e 0.080 44.1 c 1 [13609] 11376.4 18722.7 6 2 e 0.053 29.5 c 1 [13533] 11360.8 18748.0 4 4 m 0.0341 0.0125 c 1 [13533] 11360.8 18748.0 4 4 e 0.0405 43.8 c 1

5

2 p

o

2 p

° [39.515 X 10s

] 18722.7 18748.0 2 4 m 1.45 x 10-7 1.33 B 1 [39.515 x 10s

] 18722.7 18748.0 2 4 e 5.9 x 10- 17 0.14 D 1

Ground State

PlI

ls2 2s2 2//3s2 3p2 3 Po

Ionization Potential

Allowed Transitions

19.72 eV= 159100 cm"1

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

1301.87 2 4530.81 10 5316.07 4

1304.47 2 4533.96 11 5344.75 4

1304.68 2 4554.83 12 5378.20 18

1305.48 2 4565.27 12 5386.88 4

1309.87 2 4582.17 10 5409.72 4

1310.70 2 4588.04 9 5425.91 4

1532.51 1 4589.86 9 5450.74 18

1535.90 1 4602.08 9 5483.55 18

1536.39 1 4626.70 9 5499.73 4

1542.29 1 4628.77 12 5507.19 18

1543.09 1 4658.31 9 5541.14 18

1543.61 1 4698.16 9 5583.27 18

4385.35 16 4823.68 17 5588.34 19

4402.09 10 4864.42 17 5727.71 19

4414.28 11 4927.20 17 5764.46 19

4417.30 10 4935.62 15 6024.18 3

4420.71 8 4943.53 17 6034.04 3

4424.07 11 4954.39 17 6043.12 3

4463.00 11 4969.71 17 6055.50 20

4466.13 10 5040.80 13 6087.82 3

4467.98 11 5152.23 5 6165.59 3

4475.26 10 5191.41 5 6232.29 3

4483.68 11 5253.52 7 7735.06 21 4499.24 14 5296.13 5 7845.63 6

110
For the two uv transitions listed, the radiative lifetime measurements of Savage and Lawrence

[1] performed witli the phase shift technique are available. Corrections for cascading from higher

excited states have been applied by these authors.

Since no other theoretical or experimental data are available for this spectrum as yet, the

Coulomb approximation has been extensively used in order to have some of the more prominent

lines tabulated. On tbe basis of the comparison material available for analogous transitions of

neighboring atoms and because of the general success of the Coulomb approximation, accuracy

estimates of 50 percent for the selected lines appear to be in order. But, in as much as these comparisons are still quite insufficient, the present accuracy assignments can be regarded only as

provisional. There are furthermore indications from energy level spacings that this spectrum may

show significant deviations from LS-coupling. Since LS-coupling had to be used for the breakdown

into multiplets and lines, this may introduce additional uncertainties, especially in the weaker

lines.

Reference

[1] Savage, B. D., and Lawrence, G. M., Astrophys. J. 146, 940-943 (1966).

P II. Allowed Transitions

No. Transition

Array

Multiplet A( A) £/(cm-') Cdcrrr ') ft /!*;( 10K sec ') fx S(at.u.) lujl A/ Accuracy

Source

1 3s-3p- — 3s3p:i S5 1 a

o 1539.2 316 65285 9 15 0.128 0.0076 0.346 -1.165 c + 1 (1 uv)

1542.29 469 65308 5 7 0.127 0.0063 0.161 -1.50 c + Is 1535.90 165 65273 3 5 0.096 0.0057 0.086 - 1.77 c + Is 1532.51 0 65252 1 3 0.072 0.0076 0.038 -2.12 D Is 1543.09 469 65273 5 5 0.032 0.0011 0.029 -2.25 D Is 1536.39 165 65252 3 3 0.054 0.0019 0.029 -2.24 D Is 1543.61 469 65252 5 3 0.0035 7.6 x 10~ 5 0.0019 -3.42 E Is

2 S3 1 x

o 1307.7 316 76788 9 9 1.56 0.0400 1.55 — 0.444 C 1 (2 uv)

1310.70 469 76765 5 5 1.17 0.0301 0.65 -0.82 C Is 1304.68 165 76813 3 3 0.392 0.0100 0.129 -1.52 c Is 1309.87 469 76813 5 3 0.65 0.0100 0.215 -1.301 c Is 1304.47 165 76824 3 1 1.57 0.0134 0.172 -1.396 c Is 1305.48 165 76765 3 5 0.392 0.0167 0.215 -1.300 c Is 1301.87 0 76813 1 3 0.53 0.0401 0.172 -1.397 c Is

3 3p4s — 3p( 2 P°)4p Sj0 1 a 6052.0 86940 103459 9 15 0.67 0.61 110 0.74 D ca

6043.12 87125 103669 5 7 0.68 0.52 52 0.42 D Is 6024.18 86745 103340 3 5 0.51 0.46 28 0.14 D Is 6034.04 86598 103166 1 3 0.37 0.61 12 -0.21 D Is 6165.59 87125 103340 5 5 0.16 0.091 9.3 -0.34 D- Is 6087.82 86745 103166 3 3 0.27 0.15 9.2 -0.34 D- Is 6232.29 87125 103166 5 3 0.017 0.0060 0.62 -1.52 E Is

4 :sp° 3p 5406.2 86940 105432 9 9 0.93 0.41 65 0.56 D ca

5425.91 87125 105550 5 5 0.69 0.31 27 0.19 D Is 5386.88 86745 105303 3 3 0.23 0.10 5.4 -0.51 D- Is 5499.73 87125 105303 5 3 0.37 0.10 9.1 -0.30 D- Is 5409.72 86745 105225 3 1 0.93 0.14 7.2 -0.39 D- Is 5316.07 86745 105550 3 5 0.24 0.17 9.0 -0.29 D- Is 5344.75 86598 105303 1 3 0.32 0.41 7.2 -0.39 D- Is

111
P II. Allowed Transitions — Continued

No. Transition

Array

Multiplet \(A) £;(cnr') Ek-(cm~') & A'*' 10K sec ') Jik S(at.u.) A/' AccuracySource

5

: f p|- :i S 5244.6 86940 106002 9 3 1.0 0.14 22 0.11 D ca

5296.13 87125 106002 5 3 0.55 0.14 12 -0.16 D Is 5191.41 86745 106002 3 3 0.35 0.14 7.1 -0.38 D Is 5152.23 86598 106002 1 3 0.12 0.14 2.4 -0.85 D Is

6

-c0 1 "0 7845.63 88894 101636 3 3 0.33 0.30 23 -0.04 D ca

7

“C0 1 6 5253.52 88894 107924 3 5 1.0 0.72 37 0.33 D ca

8 'P°-'S 4420.71 88894 111509 3 1 1.6 0.15 6.7 -0.34 D ca

9 3p4p — 3p(-P°)4£/ a 1 o 4598.5 102459 125199 15 21 2.0 0.88 200 1.12 D ca

4602.08 103669 125392 7 9 1.9 0.79 84 0.74 D Is 4588.04 103340 125130 5 7 1.7 0.77 58 0.58 D Is 4589.86 103166 124948 3 5 1.6 0.87 39 0.42 D Is 4658.31 103669 125130 7 7 0.21 0.069 7.4 -0.31 D- Is 4626.70 103340 124948 5 5 0.30 0.097 7.4 -0.31 D- Is 4698.16 103669 124948 7 5 0.0084 0.0020 0.22 -1.85 E Is

10 ! P — :i D° 4484.5 105432 127725 9 15 1.3 0.67 89 0.78 D ca

4475.26 105550 127889 5 7 1.3 0.55 41 0.44 D Is 4530.81 105303 127368 3 5 1.0 0.52 23 0.19 D Is 4402.09 105225 127935 1 3 0.73 0.64 9.3 -0.19 D- Is 4582.17 105550 127368 5 5 0.33 0.10 7.9 -0.28 D- Is 4417.30 105303 127935 3 3 0.55 0.16 7.0 -0.32 D- Is 4466.13 105550 127935 5 3 0.036 0.0065 0.48 -1.49 E Is

11 •ip _ :ip° 4468.8 105432 127828 9 9 0.73 0.22 29 0.30 D ca

4463.00 105550 127951 5 5 0.54 0.16 12 -0.09 D Is 4483.68 105303 127600 3 3 0.19 0.056 2.5 -0.78 D- Is 4533.96 105550 127600 5 3 0.31 0.057 4.2 -0.55 D- Is 4424.07 105303 127900 3 1 0.73 0.072 3.1 -0.67 D- Is 4414.28 105303 127951 3 5 0.18 0.089 3.9 -0.57 D- Is 4467.98 105225 127600 1 3 0.25 0.22 3.3 -0.65 D- Is

12 :i S — :! P° 4580.4 106002 127828 3 9 0.96 0.91 41 0.43 D ca

4554.83 106002 127951 3 5 0.96 0.50 22 0.17 D Is 4628.77 106002 127600 3 3 0.97 0.31 14 -0.03 D Is 4565.27 106002 127900 3 1 0.96 0.10 4.5 -0.52 D- Is

13 'D-'D° 5040.80 107924 127756 5 5 0.40 0.15 13 -0.12 D ca

14 'D-'F° 4499.24 107924 130143 5 7 1.4 0.60 44 0.47 D ca

15 0 CO 19- 4935.62 111509 131764 1 3 0.63 0.69 11 -0.16 D ca

16 3p4p — 3p( 2 P°)5s ip_.po 4385.35 101636 124433 3 3 0.40 0.12 5.0 -0.46 D ca

17 :i D _ :*p° 4942.5 103459 123686 15 9 0.78 0.17 42 0.41 D ca

4943.53 103669 123892 7 5 0.63 0.16 19 0.06 D Is 4969.71 103340 123456 5 3 0.58 0.13 11 -0.19 D Is 4954.39 103166 123345 3 1 0.78 0.096 4.7 -0.54 D- Is 4864.42 103340 123892 5 5 0.11 0.040 3.2 -0.70 D- Is 4927.20 103166 123456 3 3 0.19 0.070 3.4 -0.68 D- Is 4823.68 103166 123892 3 5 0.0075 0.0043 0.21 -1.89 E Is

112
P II. Allowed Transitions — Continued

No. Transition

Array

Mu 1 1 i plet mA) Ej(cm') Ek( cm-1

) g\ gk A,J 10* sec- 1 ) fk S(at.u.) *<>g gf Accuracy

Source

18 :(p _ :tp° 54 76.7 105432 123686 9 9 0.44 0.20 32 0.25 D ca

5450.74 105550 123892 5 5 0.33 0.15 13 -0.13 D Is 5507.19 105303 123456 3 3 0.11 0.052 2.8 -0.81 D- Is 5583.27 105550 123456 5 3 0.19 0.053 4.8 -0.58 D- Is 5541.14 105303 123345 3 1 0.45 0.070 3.8 -0.68 D- Is 5378.20 105303 123892 3 5 0.11 0.081 4.3 -0.62 D- Is 5483.55 105225 123456 1 3 0.15 0.20 3.7 -0.69 D- Is

19 :i S — ;i P° 5653.3 106002 123686 3 9 0.15 0.21 12 -0.19 D ca

5588.34 106002 123892 3 5 0.15 0.11 6.3 -0.46 D Is 5727.71 106002 123456 3 3 0.15 0.073 4.1 -0.66 D Is 5764.46 106002 123345 3 1 0.15 0.025 1.4 -1.13 D- Is

20 , D -'P° 6055.50 107924 124433 5 3 0.69 0.23 23 -0.06 D ca

21 •S — *P° 7735.06 111509 124433 1 3 0.11 0.29 7.5 -0.53 D ca

Pn

Forbidden Transitions

The adopted values have been derived from the theoretical work of Naqvi [1], and Czyzak

and Krueger [2]. Since their methods are essentially alike, Naqvi’s and Czyzak and Krueger’s

magnetic dipole transitions have generally been averaged, except for the 3 P— *S transition where

configuration interaction is important. In this case Czyzak and Krueger’s empirically derived value

has been preferred over Naqvi’s, which is based purely on theory (see also General Introduction).

For the electric quadrupole transitions only Czyzak and Krueger’s values are used since

their sqis obtained by using advanced self-consistent field wavefunctions with exchange effects

included.

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Czyzak, S. J. and Krueger, T. K., Monthly Notices Roy. Astron. Soc. 126, 177-194 (1963).

Pii . Forbidden Transitions

No.

Transition

Array Multiplet MA) Ei ( cm ') Fa (cm ') gi {fk

Type of

Transition Aa; (sec ') S ( at.u.)

Accuracy Source

1 3p- - 3p- :i P — :, P

[60.663 x 104

] 0.0 164.8 1 3 m 8.05 x 10-* 2.00 A 1 [21.316 X 104

] 0.0 469.0 1 5 e 6.0 x 10_!' 7.9 C 2 [32.864 x 10 4

] 164.8 469.0 3 5 m 3.80 x 10 4 2.50 A 1 [32.864 X 104

] 164.8 469.0 3 5 e 1.54 X lO-4* 17.6 C 2

2

:! P — 'D

(IF) 11255 0.0 8882.6 1 5 e 3.3 X 10-6 0.0018 D 2 11483.2 164.8 8882.6 3 5 m 0.0063 0.00176 C 1. 2 11483.2 164.8 8882.6 3 5 e 2.2 x 10-5 0.013 D 2 11898.2 469.0 8882.6 5 5 m 0.0169 0.0053 C 1. 2 11898.2 469.0 8882.6 5 5 e 1.3 x 10-4 0.091 D 2

113
P II. Forbidden Transitions — Continued

No.

Transition

Array Multiplet MA) E\ ( cm ') Fa-

(

cm ') eA Type of

Transi- tionA a; (sec ') S ( at.u.)

Accuracy Source

3

:! P — 1 s

(2F) 4669.5 164.8 21576.2 3 1 m 0.220 8.3 X 10-4 C 2

4736.6 469.0 21576.2 5 1 e 0.0063 0.0089 D 2

4 'D-'S

(3F) 7869.5 8882.6 21576.2 5 1 e 2.0 35 D 2

Ground State

P III

ls 22s 2 2pH3s'-3p2 Pi/2

Ionization Potential 30.156 eV = 243290.0 cnr 1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

1334.87 1 3802.08 5 4057.39 2

1344.34 1 3895.03 4 4059.27 2 1344.90 1 3904.79 4 4080.04 2 3219.32 6 3922.72 4 4222.15 3

3233.62 6 3933.38 4 4246.68 3

3280.22 8 3951.51 4 4587.91 9

3717.63 5 3957.64 4 5203.86 7 3744.22 5 3997.17 4

Varsavsky’s value [1] for the 3s2 3p 2 P°—3s3p2 2 D multiplet, which has been calculated by

means of a screening approximation which neglects the important effects of configuration interaction, should be quite uncertain — probably too high as judged from other comparisons. Since

there are no other sources available, the Coulomb approximation has been applied to other prominent lines in this spectrum. Judging from comparisons with analogous transitions in other atoms,

accuracies within 50 percent may be expected for the selected lines.

Reference

[1] Varsavsky, C. M., Astropliys. J. Suppl. Ser. 6, No. 53. 75-108 (1961).

114
Pill. Allowed Transitions

No. Transition

Array

Multiplet \(A) f/lcnr 1 ) £/, U' m ') fii A- /!,„( 10* sec-') /</,• ,S(at.u.) log a/’ Accuracy Source

1 35- 3p — 3s3p'2 2P° — 2D 1341.2 373 74933 6 10 14 0.64 17 0.59 E 1 (1 uv)

1344.34 560 74945 4 6 14 0.56 10 0.35 E Is 1334.87 0 74915 2 4 12 0.65 5.7 0.11 E Is 1344.90 560 74915 4 4 2.3 0.062 1.1 -0.60 E Is

2 3d- ('S)4p 2 D — 2 P°

( I \ 4066.2 116881 141467 10 6 1.0 0.15 20 0.17 D- ca

4059.27 I 16885 141513 6 4 0.90 0.15 12 -0.05 D- Is 4080.04 1 16874 141376 4 2 0.99 0.12 6.7 -0.31 D- Is 4057.39 116874 141513 4 4 0.10 0.025 1.3 - 1.00 D- Is

3 4s— ('S)4p 2 S — 2 P° 4230.4 117835 141467 2 6 1.5 1.2 33 0.37 D ca

(3)

4222.15 117835 141513 2 4 1.5 0.78 22 0.19 D Is 4246.68 117835 141376 2 2 1.4 0.39 11 -0.11 D Is

4 3s3p4s — 4po _ 4p 3943.5 184811 210162 12 12 1.7 0.40 63 0.69 D ca

3s3p( :i P°)4p (9)

3957.64 185045 210306 6 6 1.2 0.29 22 0.23 D Is 3933.38 184639 210056 4 4 0.23 0.054 2.8 -0.66 E Is 3922.72 184453 209939 2 2 0.30 0.068 1.8 -0.87 E Is 3997.17 185045 210056 6 4 0.76 0.12 9.6 -0.14 D- Is 3951.51 184639 209939 4 2 1.4 0.17 8.8 -0.17 D- Is 3895.03 184639 210306 4 6 0.54 0.19 9.5 -0.13 D- Is 3904.79 184453 210056 2 4 0.75 0.34 8.8 -0.17 D- Is

5 4p°_4S 3768.5 184811 211339 12 4 2.1 0.15 22 0.25 D ca

(10)

3802.08 185045 211339 6 4 0.97 0.14 11 -0.07 D Is 3744.22 184639 211339 4 4 0.68 0.14 7.0 -0.25 D Is 3717.63 184453 211339 2 4 0.34 0.14 3.5 -0.55 D Is

6 4p — ( 'S)4d 2 P° — 2 D 3228.8 141467 172429 6 10 4.6 1.2 77 0.86 D ca

(4)

3233.62 141513 172429 4 6 4.6 1.1 46 0.64 D Is 3219.32 141376 172429 2 4 3.9 1.2 26 0.38 D Is 3233.62 141513 172429 4 4 0.77 0.12 5.2 -0.31 D- Is

7 4d— (

1 S ) 5p 2 D “ P

°

(5)

5203.86 172429 191640 6 4 0.79 0.22 22 0.11 D ca , Is 5203.86 172429 191640 4 4 0.088 0.036 2.5 -0.84 £ ca. Is

8 4d-( , S)5/ 2 D- 2 F° 3280.22 172429 202906 10 14 1.8 0.40 43 0.60 D ca

(6)

9 4/-('S)5d

2 F°- 2 D 4587.91 178653 200443 14 10 0.11 0.026 5.4 -0.45 D ca

(7)

P III

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

115
Pill. Forbidden Transitions

No.

Transition

Array Multiplet MA) Ej (cm 1 ) EiAcm ’) gi gk

Type of

Transition Aki (sec ') S(at.u.)

Accuracy Source

1 3p— ('S)3p 2po 2p°

[17.865 X 104

] 0.0 559.6 2 4 m 0.00157 1.33 A 1

PIV

Ground State ls22s2 2p63s2, S0

Ionization Potential 51.354 eV = 414312 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

368.01 25 847.72 14 1065.7 9

368.32 25 849.80 14 1066.6 9

368.96 25 850.39 14 1086.9 8

388.32 10 851.09 14 1088.6 8

424.06 26 855.05 12 1091.4 8

443.81 23 859.73 13 1094.4 21

444.25 23 860.49 13 1118.6 4

444.27 23 861.53 13 1589.0 22

445.16 23 863.31 13 1640.6 3

445.17 23 865.01 13 1691.8 7

445.18 23 866.81 13 1845.6 6

522.01 24 907.60 16 1847.5 5

628.983 19 908.05 15 3347.72 27

629.914 19 950.669 1 3364.44 27

631.765 19 963.97 18 3371.10 27

756.53 17 1025.58 2 3717.03 29

776.37 20 1028.13 2 3717.63 29

823.177 11 1030.55 2 3719.3 29

824.733 11 1033.14 2 3727.6 29

827.932 11 1035.54 2 3728.67 29

845.97 14 1065.5 9 4249.57 28

847.02 14

Zare’s values [1] have been calculated by means of the method of superposition of configurations, employing Hartree-Fock-Slater wavefunctions as a starting point. The calculations have

been carried out in both the dipole length and dipole velocity representations: the length values

are chosen in all cases as being probably more reliable. Crossley and Dalgarno's values [2] have

been obtained from nuclear charge-expansion calculations which include configuration mixing

in a limited way. Zare’s method must be considered the more refined of the two calculations.

Hence his data have been chosen whenever there was a choice. In many cases, the degree of fit of the data into the apparent /-value dependences on nuclear charge could be utilized as an addi116
tional criterion in arriving at the accuracy estimates. The accuracy assignments for any transition

involving the 3s3(/'D, 3p3r/'D, or 3/r 'D energy levels have been reduced since reliability of

these energy levels is quite doubtful. Hence, for transitions involving these states, the listed line

strength will be more reliable than either the oscillator strength or the transition probability,

since the latter two quantities depend on the wavelength of the transition.

References

[1] Zare, R. N., J. Chem. Phys. 47, 3561 (1967).

[2] Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soc. London A286, 510-518 (1965).

P IV. Allowed Transitions

No. Transition

Array

Multiplet X(A) Ej{ cm ') £/,((• m ')

A'/ fik Ta,(10h sec

-1

) Jik .S(at.u.) log k/ Accuracy Source

1 3s2 — 3s( 2 S)3p i S _ip° 950.669 0 105190 1 3 39.4 1.60 5.01 0.204 B 1

(1 uv)

2 3s3p —3p2 3 p° _ 3 p 1030.5 68374 165411 9 9 30.2 0.481 14.7 0.64 c + 2

(2 uv)

1030.55 68607 165646 5 5 22.6 0.360 6.1 0.255 c + Is 1030.55 68139 165178 3 3 7.5 0.120 1.22 — 0.444 c + Is 1035.54 68607 165178 5 3 12.4 0.120 2.04 -0.222 c + Is 1033.14 68139 164935 3 1 29.9 0.160 1.63 -0.319 c + Is 1025.58 69139 165646 3 5 7.7 0.201 2.04 -0.220 c + Is 1028.13 67912 165178 1 3 10.1 0.482 1.63 -0.317 c + Is

3 -5o l 5 [1640.6] 105190 166144 3 5 1.8 0.12 1.9 -0.44 E 1

4

o i on [1118.6] 105190 194589 3 1 32.4 0.203 2.24 -0.215 C- 1

5 3s( 2S)3d — >D-'F° [1847.5] [222142] [276270] 5 7 7.3 0.53 16 0.42 D- 2 3p(2 P°)3d

6 'D-'D° [1845.6] [222142] [276325] 5 5 1.2 0.063 1.9 -0.50 D- 2

7 'D-'P° [1691.8] [222142] 281251 5 3 2.6 0.068 1.9 -0.47 D- 1

8 3 £) 3 p° 1090.0 189389 281133 15 9 18 0.19 10 0.46 D + 1 [1091.4] 189389 281011 7 5 15 0.19 4.8 0.13 D + Is [1088.6] 189389 281251 5 3 14 0.14 2.6 -0.15 D + Is [1086.9] 189389 281391 3 1 18 0.11 1.1 -0.50 D + Is [1091.4] 189389 281011 5 5 2.7 0.048 0.86 -0.62 D + Is [1088.6] 189389 281251 3 3 4.5 0.080 0.86 -0.62 D + Is [1088.6] 189389 281251 5 3 0.30 0.0032 0.057 -1.80 D + Is

9

3 D —3 D° 1065.8 189389 28321

1

15 15 16 0.27 14 0.61 D 2

[1065.7] 189389 283221 7 7 14 0.24 5.8 0.21 D Is [1065.5] 189389 283239 5 5 11 0.18 3.2 -0.05 D Is [1066.6] 189389 283142 3 3 12 0.20 2.1 -0.22 D Is [1065.5] 189389 283239 7 5 2.4 0.030 0.73 -0.68 D- Is [1066.6] 189389 283142 5 3 3.9 0.040 0.70 -0.70 D- Is [1065.7] 189389 283221 5 7 1.7 0.042 0.73 -0.68 D- Is [1065.5] 189389 283239 3 5 2.3 0.067 0.70 -0.70 D- Is

10 3s2 — 3s( 2 S)4p 1 S _1P° [388.32] 0 257520 1 3 15 0.10 0.13 -0.00 D- 1

11 3s3p — 3s( 2 S)3d 3p°_3p 826.34 68374 189389 9 15 46.7 0.796 19.5 0.855 B 1 (3 uv)

827.932 68607 189389 5 7 46.4 0.668 9.10 0.524 B Is 824.733 68139 189389 3 5 35.2 0.598 4.87 0.254 B Is 823.177 67912 189389 1 3 26.3 0.801 2.17 -0.096 B Is 827.932 68607 189389 5 5 11.6 0.119 1.62 -0.225 C Is 824.733 68139 189389 3 3 19.5 0.199 1.62 -0.224 C Is 827.932 68607 189389 5 3 1.3 0.0079 0.11 -1.40 D Is

12 ‘V0 1 6 [855.05] 105190 [222142] 3 5 84 1.5 13 0.65 D 1 (5 uv)

117
PlV. Allowed Transitions — Continued

No. Transition

Array

Multi|»let \(A) Ej( cm ') FaIciti

-

') gi gk /£-,( 10* sec ') fik S(at.u.) log gf Accuracy

Source

13 3p2 -3p(2 P°)3d 3p 3p° 864.14 165411 281133 9 9 35 0.39 10 0.55 D 2

[866.81] 165646 281011 5 5 26 0.29 4.2 0.16 D Is [861.53] 165178 281251 3 3 8.8 0.098 0.83 -0.53 D- Is [865.01] 165646 281251 5 3 15 0.098 1.4 -0.31 D- Is [860.49] 165178 281391 3 1 35 0.13 1.1 -0.41 D- Is [863.31] 165178 281011 3 5 8.8 0.16 1.4 -0.32 D- Is [859.73] 164935 281251 1 3 12 0.39 1.1 -0.41 D- Is

14 3 P — 3 D° 848.90 165411 28321

9 15 64 1.2 29 1.03 D 2

[849.80] 165646 283321 5 7 66 1.0 14 0.70 D Is [847.02] 165178 283239 3 5 48 0.86 7.2 0.41 D Is [845.97] 164935 283142 1 3 36 1.1 3.2 0.04 D- Is [850.39] 165646 283239 5 5 16 0.17 2.4 -0.07 D- Is [847.72] 165178 283142 3 3 27 0.29 2.4 -0.06 D- Is [851.09] 165646 283142 5 3 1.8 0.011 0.16 -1.26 E Is

15 1 D — ! F° [908.05] 166144 [276270] 5 7 35 0.61 9.1 0.48 E 2

16 1 D- 1 D° [907.60] 166144 [276325] 5 5 31 0.39 5.8 0.29 E 2

17 1 D- I P° [756.53] 166144 298327 5 3 4.1 0.021 0.26 -0.98 E 1

18 i S _ip° [963.97] 194589 298327 1 3 29.0 1.21 3.84 0.083 C 1

19 3s3p — 3s( 2 S)45 3p°_3g 630.86 68374 226889 9 3 49.2 0.098 1.83 -0.055 C 1 (4 uv)

631.765 68607 226889 5 3 27.3 0.098 1.02 -0.310 C Is 629.914 68139 226889 3 3 16.5 0.098 0.61 -0.53 C Is 628.983 67912 226889 1 3 5.5 0.098 0.203 -1.009 C Is

20 1 P

°_1S [776.37] 105190 233995 3 1 24.2 0.073 0.56 -0.66 C- 1

21 3p2 — 3s( 2 S)4p ip -ip° [1094.4] 166144 257520 5 3 5.6 0.061 1.1 -0.52 E 1

22 i S _ip° [1589.0] 194589 257520 1 3 0.18 0.021 0.11 -1.69 D 1

23 3s3p — 3s( 2 S)4rf CO O 1co a 444.71 68374 293242 9 15 0.75 0.0037 0.049 -1.48 E 1

[445.16] 68607 293247 5 7 0.75 0.0031 0.023 -1.81 E Is [444.25] 68139 293239 3 5 0.55 0.0027 0.012 -2.09 E Is [443.81] 67912 293234 1 3 0.42 0.0037 0.0054 -2.43 E Is [445.17] 68607 293239 5 5 0.19 5.6 x 10-4 0.0041 -2.55 E Is [444.27] 68139 293234 3 3 0.32 9.3 x 10-4 0.0041 -2.55 E Is [445.18] 68607 293234 5 3 0.021 3.7 x 10-5 2.7 x 10-4 -3.73 E Is

24 ip°_iD [522.01] 105190 296758 3 5 0.74 0.0050 0.026 -1.82 E 1

25 3s3p — 3s( 2 S)5d 3p° 3 jy 368.64 68374 339638 9 15 20 0.070 0.76 -0.20 D 1

[368.96] 68607 339636 5 7 20 0.058 0.35 -0.54 D Is [368.32] 68139 339639 3 5 15 0.052 0.19 -0.81 D Is [368.01] 67912 339642 1 3 11 0.069 0.084 -1.16 D- Is [368.96] 68607 339639 5 5 5.1 0.010 0.063 -1.30 D- Is [368.32] 68139 339642 3 3 8.5 0.017 0.063 -1.29 D- Is [368.96] 68607 339642 5 3 0.56 6.9 x 10 -4 0.0042 -2.46 E Is

26 hVo 1 6 [424.06] 105190 [341005] 3 5 0.11 4.8 X 10“4 0.0020 -2.84 E 1

27 3s4s — 3s( 2S)4p 35 _3p° 3355.9 226889 256679 3 9 2.11 1.07 35.4 0.51 C + 1 (1) 3347.72 226889 256751 3 5 2.13 0.60 19.7 0.255 C + Is 3364.44 226889 256603 3 3 2.09 0.355 11.8 0.027 c + Is 3371.10 226889 256544 3 1 2.1 0.12 3.9 -0.45 D Is

28 an 1 *60 4249.57 233995 257520 1 3 0.84 0.69 9.6 -0.161 C 1 (2)

118
P IV. Allowed Transitions — Continued

No. Transition

Array

Multiplet \(A) 1 kq o E P>i gk /1a-,(10

k sec-') fk S(at.u.) log gf Accuracy

Source

29 3s4d— 3s( 2 S)5p 3£)_3p°

(3) [3719.3] 293247 320126 7 5 2.0 0.30 26 0.32 D ca , Is 3728.67 293239 320053 5 3 1.8 0.23 14 0.06 D ca, Is 3717.63 293239 320126 5 5 0.36 0.075 4.6 -0.43 D- ca, is [3727.6] 293234 320053 3 3 0.60 0.12 4.6 -0.44 D- ca, Is 3717.03 293234 320126 3 5 0.024 0.0084 0.31 -1.60 . E ca, is

P IV

Forbidden Transitions

Naqvi’s calculations [1] are the only available source. The results for the 3 P° — :! P° transitions are essentially independent of the choice of the interaction parameters. For the 3 P°— *P° transitions,

Naqvi uses empirical term intervals, i.e., the effects of configuration interaction should be partially

included.

Reference

[1] Naqvi. A. M., Thesis Harvard (1951).

P IV. Forbidden Transitions

Transition Type of AccuNo. Array Multiplet MA) Ei ( cm ') Fa-

(

cm ') g> gk Transi- Aki (sec ') S(at.u.) racy Source

tion

1 3s3p —3s(2 S)3p :ip° _ :sp° [43.963 x 10 4

] 67911.6 68139.0 1 3 m 2.12 X 10-4 2.00 A 1 [21.343 x 104

] 68139.0 68607.4 3 5 m 0.00139 2.50 A 1

2

XI 0 1 X

o [2681.7] 67911.6 105190 1 3 m 0.078 1.67 X lO"4 C 1 [2698.2] 68139.0 105190 3 3 m 6.3 0.0137 C 1 [2732.7] 68607.4 105190 5 3 m 0.092 2.09 X 10-4 C 1

119
PV

Ground State ls2 2s22p63s 2 Si/2

Ionization Potential 65.007 eV = 524462.9 cm-1

Allowed Transitions

List of tabulated lines:

o Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

255.60 3 544.91 5 1118.0 1 255.69 3 673.86 7 1128.0 1 328.47 2 673.91 7 1379.7 12 328.77 2 865.46 4 1385.2 12 410.06 9 871.37 4 2424.3 11

410.08 9 871.45 4 2440.8 11 475.60 8 997.53 6 2441.1 11 475.62 8 997.64 6 3175.16 10

542.57 5 1000.4 6 3204.06 10

The only source available for this ion are the charge-expansion calculations of Crossley and

Dalgarno [1] which include limited configuration mixing. Graphical comparisons of this work with

more refined values within the isoelectronic sequence indicate an accuracy of 25 percent or better.

A number of additional values have been obtained from studies of the /-value dependence on

nuclear charge. The reliable material available for other ions of this isoelectronic sequence in

these cases permits the determination of reliable values for P V simply by graphical interpolation.

Reference

[1] Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soc. London A286, 510-518 (1965).

Pv. Allowed Transitions

No. Transition

Array

Multiplet \(A) E,( cm ') &(cm ') gi A- /fi;(10

H sec ') fk S(at.u.) 1<>£ gf Accuracy

Source

1 3s — 3p 2<^ _ 2p° 1121.3 0 89181 2 6 11.9 0.67 4.95 0.127 C 1

[1118.0] 0 89446 2 4 12.0 0.448 3.30 -0.048 C Is [1128.0] 0 88652 2 2 11.6 0.222 1.65 -0.353 C Is

2 3s — 4p 2g 2p° 328.57 0 304350 2 6 11 0.055 0.12 -0.96 D 4- interp

[328.47] 0 304445 2 4 11 0.037 0.080 -1.13 D-f Is [328.77] 0 304161 2 2 11 0.018 0.040 -1.44 D + Is

3 3s — 5p 2 S — 2 P° 255.63 0 391195 2 6 7.5 0.22 0.037 -1.36 D interp

[255.60] 0 391242 2 4 7.6 0.015 0.025 -1.52 D Is [255.69] 0 391102 2 2 7.3 0.0071 0.012 -1.85 D Is

4 3p — 3d 2 p°_ 2 D 869.39 89181 204204 6 10 36.7 0.69 11.9 0.62 C 1

[871.37] 89446 204208 4 6 36.2 0.62 7.1 0.394 C Is [865.46] 88652 204197 2 4 31.0 0.70 3.97 0.146 C Is [871.45] 89446 204197 4 4 6.0 0.069 0.79 -0.56 c Is

120
P v. Allowed Transitions — Continued

No. Transition

Array

Multiplet x(A) ftcnr 1 ) £7 (cm ') Hi Hk /h,(10K sec-') Jik ,S(at.u.) l«>g Hi Accuracy Source

5 3p — 4s 2p° 2g 544.13 89181 272961 6 2 74 0.11 1.2 -0.18 C interp

[544.911 89446 272961 4 2 49 0.11 0.79 -0.36 C Is [542.571 88652 272961 2 2 25 0.11 0.39 -0.66 C Is

6 3d— 4

p

2J) _ 2po 998.54 204204 304350 10 6 17 0.15 4.9 0.18 C interp

[997.64] 204208 304445 6 4 15 0.15 2.9 -0.05 C Is [1000.4] 204197 304161 4 2 16 0.12 1.6 -0.32 C Is [997.53] 204197 304445 4 4 1.7 0.025 0.33 -1.00 C Is

7 3d— 4/ 1

C4 o Q

C4 673.90 204204 352595 10 14 97 0.92 20 0.96 c + interp

[673.91] 204208 352595 6 8 91 0.83 11 0.70 c + Is [673.86] 204197 352595 4 6 88 0.90 8.0 0.56 c + Is [673.91] 204208 352595 6 6 6.3 0.043 0.57 -0.59 c + Is

8 3d- 5/ 2p _ 2po 475.61 204204 414459 10 14 36 0.17 2.7 0.23 c interp

[475.62] 204208 414459 6 8 35 0.16 1.5 -0.02 c Is [475.60] 204197 414459 4 6 35 0.18 1.1 -0.14 c Is [475.62] 204208 414459 6 6 2.4 0.0082 0.077 -1.31 c Is

9 3d -6/ N 0 1 to T1 6 410.07 204204 448062 10 14 17 0.061 0.82 -0.21 c interp

[410.08] 204208 448062 6 8 17 0.058 0.47 -0.46 c Is [410.06] 204197 448062 4 6 16 0.061 0.33 -0.61 c Is [410.08] 204208 448062 6 6 1.1 0.0028 0.023 -1.77 c Is

10 4s — 4p 2<^ _ 2po 3184.9 272961 304350 2 6 2.32 1.06 22.2 0.326 c ca

(1) 3175.16 272961 304445 2 4 2.34 0.71 14.8 0.151 c Is 3204.06 272961 304161 2 2 2.28 0.351 7.4 -0.154 c Is

11 4p — 4d 2 P°_ 2 d 2435.3 304350 345401 6 10 7.4 1.1 53 0.82 c interp

[2440.8] 304445 345403 4 6 7.4 1.0 32 0.60 c Is [2424.3] 304161 345398 2 4 6.4 1.1 18 0.34 c Is [2441.1] 304445 345398 4 4 1.2 0.11 3.5 -0.36 c Is

12 4p — 5s 2p°_2g 1383.3 304350 376639 6 2 20 0.19 5.2 0.06 c interp

[1385.2] 304445 376639 4 2 13 0.19 3.5 -0.12 c Is [1379.7] 304161 376639 2 2 6.6 0.19 1.7 -0.42 c Is

P VI

Ground State ls2 2s2 2p6 ! So

Ionization Potential 220.414 eV= 1778250 cm -1 Allowed Transitions

Calculations by Kastner, Omidvar, and Underwood [1], employing Hartree-Fock wavefunctions and including intermediate coupling, are available. Since the calculations are based on a single-configuration approximation only, uncertainties of up to 50 percent are expected for the

strong lines and even higher uncertainties for the weak lines, the latter being more affected by

assumptions about the coupling.

Reference

[1] Kastner, S. O., Omidvar, K., and Underwood, J. H.. Astrophys. J. 148, 269-273 (1967).

121
P VI. Allowed Transitions

No. Transition

Array

Multiplet A(A) £i(cm ') filcnr 1 ) A'; A'a- 10m sec ') fik S(at.u.) log pf Accuracy

Source

1 2p

6 -

2pH 2 P°m)3s

i S _ 3 p°

[91.471] 0 1093240 1 3 74 0.028 0.0084 -1.55 E 1

2 2p

6 -

2p5

( 2 P?/2 )3s

in \ o [90.647] 0 1103180 1 3 490 0.18 0.054 -0.74 D 1

3 2p6 —

2p5

( 2P|2)3d

1 S _3P

°

[76.534] 0 1306610 1 3 16 0.0042 0.0011 -2.38 E 1

4 2p6 —

2p5( 2 P2/ 2 )3d

'S->P° [75.648] 0 1321910 1 3 4700 1.2 0.30 0.08 D 1

5 2p

6 -

2p5

( 2 P?/2 )3d

*S — 3 D°

[74.951] 0 1334210 1 3 670 0.17 0.042 -0.77 D 1

P VII

Ground State ls22s22p° 2 P%/->

Ionization Potential 263.31 eV = 2124300 cm-1

Allowed Transitions

The value for the 2s2 2p3 2 P°— 2s2p6 2 S multiplet is calculated from the nuclear charge-expansion method of Cohen and Dalgarno [1]. It may be quite uncertain since configuration interaction

effects with configurations involving the n = 3 shell electrons, which were not included in this

calculation, may be significant.

Reference

[1] Cohen. M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

P VII. Allowed Transitions

No. Transition

Array

Multiplet a(A) Eii cm-') A

r

< A9, dA,(10« sec-') Jik S(at.u.) log a/ Accuracy

Source

1 2s22p5 — 2s2pK "P° — 2 S 221.09 2423 454732 6 2 420 0.10 0.45 -0.22 D 1

[219.91] 0 454732 4 2 290 0.10 0.30 -0.40 D Is [223.48] 7268 454732 2 2 140 0.10 0.15 -0.70 D Is

122
P VII

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

P VII. Forbidden Transitions

No.

Transition

Array Multiple! M A) E,( cm ') F/, (cm ') gi

Type of

Transition AkA sec ') S ( at.u.)

Accuracy Source

1 2p

5 — 2/r' 2po 2p°

[13755] 0 7268 4 2 m 6.89 1.33 A 1

P VIII

Ground State \s~2s1 2p4 :i P-2

Ionization Potential 309.26 eV = 2495000 cm-1

Allowed Transitions

The values are calculated from the charge-expansion method of Cohen and Dalgarno [1] which includes limited configuration mixing. From comparisons with other ions in the isoelectronic sequence, uncertainties should be within 50 percent.

Reference

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

P VIII. Allowed Transitions

No. Transition

Array

Multiplet \(A) Ei( cm- 1 ) Ek( cm" 1 ) {-'i gk Aa, (HP sec ') fk S(at.u.) lug gf Accuracy

Source

1 2s22p4 — 2s2p5 3p_sp° 247.77 2789 406389 9 9 190 0.18 1.3 0.21 D 1

[247.64] 0 403806 5 5 140 0.13 0.54 -0.17 D Is [248.04] 5757 408913 3 3 49 0.045 0.11 -0.87 D Is [244.55] 0 408913 5 3 83 0.045 0.18 -0.65 D Is [246.32] 5757 411736 3 1 190 0.058 0.14 -0.76 D Is [251.23] 5757 403806 3 5 46 0.073 0.18 -0.66 D Is [249.32] 7826 408913 1 3 61 0.17 0.14 -0.77 D Is

2

1 D — ' P° [196.76] [52450] [560680] 5 3 310 0.11 0.35 -0.26 D 1

3 (E 1 "do [222.37] [110970] [560680] 1 3 46 0.10 0.075 -1.00 D 1

308-022 0-69—11

123
P VIII

Forbidden Transitions

As in the case of Na IV the adopted values are taken from Naqvi [1], and Malville and Berger

[2]. For a discussion on the selection of values see Na IV, since the same considerations have

been applied.

References

[1] Naqvi. A. M. Thesis Harvard (1951).

[2] Malville, J. M. and Berger. R. A., Planetary and Space Science 13, 1131-1136 (1965).

P viil. Forbidden Transitions

No.

Transition

Array Multiplet mA) £i(cm 1 ) EiAcm ') &

Type of

Transition Aici ( sec

-

) S(at.u.)

Accuracy Source

1 2p 4 — 2p4 :! P — ;i P

[17365] 0 5757 5 3 e 1.09 X lO"5 0.0306 C- 1. 2 [17365] 0 5757 5 3 m 4.28 2.49 B 1 [12774] 0 7826 5 1 e 6.8 x 10-5 0.0138 C- 2 [48319] 5757 7826 3 1 m 0.476 1.99 B 1

2

:, P — i D

[1906.6] 0 [52450] 5 5 e 0.014 0.0011 D- 1. 2 [1906.6] 0 [52450] 5 5 m 28.7 0.0369 C 1 [2141.0] 5757 [52450] 3 5 € 0.0011 1.5 X 10-4 D- 1. 2 [2141.0] 5757 [52450] 3 5 m 6.8 0.0124 C 1 [2240.3] 7826 [52450] 1 5 e 4.6 x 10- 4 7.7 X lO-5 D- 2

3

3 P — 1 S

[901.14] 0 [110970] 5 1 e 0.18 6.3 x 10~s D- 2

[950.45] 5757 [110970] 3 1 m 340 0.0108 C 2

4 •D-'S

[1708.8] [52450] [110970] 5 1 e 6.2 0.054 C- 2

PIX

Ground State ls22s22/r! 4 S.°/2

Ionization Potential 371.6 eV= 2997600 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No.

o Wavelength [A] No. Wavelength [A] No.

194.61 3 234.94 7 283.25 1 197.03 3 235.22 7 283.96 8

197.25 3 250.05 2 285.36 1 211.17 6 250.37 2 289.28 8

211.60 6 250.40 2 289.53 1

214.02 6 250.72 2 308.65 9

214.46 6 278.06 4 314.77 9

227.75 5 278.82 4 314.95 9

228.25 5 279.21 4 321.33 9

231.69 7

124
Values for all the listed transitions are calculated from the nuclear charge-expansion method

of Cohen and Dalgarno [1], which includes limited configuration mixing. Judged from graphical

comparisons with other ions in the isoelectronic sequence and from the general success of Cohen

and Dalgarno’s method for similar atomic systems, uncertainties within 50 percent are indicated.'

Reference

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

P IX. Allowed Transitions

No. ransition

Array

Multiplet

~1

mA) Ej( cm ') ft'lcnr 1 )

l

gi gu /4a/( 108 sec

-1

)

i iik S(at.u.) log gf Accuracy

Source

1 2s22p:i — 2s2p4 4 S°- 4P 287.07 0 348350 4 12 56 0.21 0.78 -0.08 D 1

[289.53] 0 345390 4 6 54 0.10 0.39 -0.40 D Is [285.36] 0 350440 4 4 57 0.069 0.26 -0.56 D Is [283.25] 0 353050 4 2 58 0.035 0.13 -0.85 D- Is

2 1 Q

O Q 250.45 73505 472784 10 10 130 0.12 0.98 0.08 D 1

[250.72] 73730 472580 6 6 120 0.11 0.55 -0.18 D Is [250.05] 73167 473090 4 4 110 0.11 0.35 -0.36 D Is [250.40] 73730 473090 6 4 13 0.0079 0.039 -1.32 E Is [250.37] 73167 472580 4 6 8.4 0.012 0.039 -1.32 E Is

3

2 D°_ 2 p 196.35 73505 582810 10 6 440 0.15 0.98 0.18 D 1

[197.25] 73730 580710 6 4 390 0.15 0.59 -0.05 D Is [194.61] 73167 587010 4 2 450 0.13 0.33 -0.28 D Is [197.03] 73167 580710 4 4 43 0.025 0.065 -1.00 E Is

4 2p°_2J) 278.80 114106 472784 6 10 20 0.039 0.21 -0.63 D 1

[279.21] 114430 472580 4 6 20 0.035 0.13 -0.85 D Is [278.06] 113457 473090 2 4 16 0.038 0.070 -1.12 D Is [278.82] 1 14430 473090 4 4 3.3 0.0038 0.014 -1.82 E Is

5

2 P

o_2S 228.08 114106 552540 6 2 260 0.069 0.31 -0.38 D 1

[228.25 114430 552540 4 2 180 0.070 0.21 -0.55 D Is [227.75; 113457 552540 2 2 86 0.067 0.10 -0.87 n Is

6

2p° 2p 213.35 114106 582810 6 6 130 0.090 0.38 -0.27 D 1

[214.46] 1 14430 580710 4 4 110 0.074 0.21 -0.53 D Is [211.17] 1 13457 587010 2 2 90 0.060 0.084 -0.92 D- Is [211.60] 114430 587010 4 2 45 0.015 0.042 -1.22 D- Is '214.02 113457 580710 2 4 22 0.030 0.042 -1.22 D- Is

7 2s2p4 —2p7' ic a I NS o 233.87 472784 900380 10 6 210 0.10 0.78 0.00 D 1

[234.94] 472580 898220 6 4 180 0.10 0.47 -0.22 D Is [231.69] 473090 904700 4 2 210 0.085 0.26 — 0.47 D Is 235.22] 473090 898220 4 4 20 0.017 0.052 -1.17 E Is

8

2 S _2 P

o 287.49 552540 900380 2 6 12 0.045 0.086 -1.05 D 1

[289.28] 552540 898220 2 4 12 0.030 0.057 -1.22 D Is [283.96] 552540 904700 2 2 13 0.016 0.029 — 1.49 D Is

9 2p> 2p° 314.89 582810 900380 6 6 150 0.23 1.4 0.14 D 1

[314.95" 580710 898220 4 4 130 0.19 0.78 -0.12 D Is [314.77 1 587010 904700 2 2 100 0.15 0.31 — 0.52 D Is [308.65" 580710 904700 4 2 55 0.039 0.16 -0.81 D- Is 321. 33

n 587010 898220 2 4 24 0.076 0.16 -0.81 D- Is

125
Fix

Forbidden Transitions

Naqvi’s [1] calculations are the only available source.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).P IX. Forbidden Transitions

No.

Transition

Array Multiplet x( A) £i(cm ') Ek (cm ') g> gk

Type of

Transition Am (sec ') S(at.u.)

Accuracy Source

1 2p

:t - 2p:! 4 S° — 2 D°

[1356.3] 0 73730 4 6 m 0.0441 2.45 x 10 > c- 1 [1356.3] 0 73730 4 6 e 0.014 2.2 X 10-4 D- 1 [1366.7] 0 73167 4 4 m 10.9 0.00412 C- 1 [1366.7] 0 73167 4 4 e 0.0083 9.4 X 10 •"> D- 1

2 2po

[881.39] 0 113457 4 2 m 57 0.00288 C- 1 [881.39] 0 113457 4 2 e 7.1 X10-4 4.5 x 10-7 D- 1 [873.90] 0 114430 4 4 m 127 0.0126 C- 1 [873.90] 0 114430 4 4 e 0.0030 3.6 x 10-K D- 1

3

2 D° — 2 D°

[17.76 X 104 ] 73167 73730 4 6 m 0.00193 2.40 B 1 [17.76 X 104

] 73167 73730 4 6 e 2.6 X10-' 2 0.0016 D- 1

4

2£)° _ 2p°

[2456.3] 73730 114430 6 4 m 17.3 0.0380 C- 1 [2456.3] 73730 1 14430 6 4 e 0.49 0.10 D 1 [2481.3] 73167 113457 4 2 m 18.5 0.0210 c- 1 [2481.3] 73167 113457 4 2 e 0.40 0.044 D 1 [2516.4] 73730 113457 6 2 e 0.25 0.030 D 1 [2422.7] 73167 114430 4 4 m 32.5 0.069 C- 1 [2422.7] 73167 114430 4 4 e 0.22 0.043 D 1

5 2po 2po

[10.27 X 104

] 113457 114430 2 4 m 0.00828 1.33 B 1 [10.27 X 104

] 113457 1 14430 2 4 e 2.6X10-" 7.0 x 10-4 D- 1

Px

Ground State ls22s22p2 :, P()

Ionization Potential 424.3 eV = 3423000 cm-1

Allowed Transitions

Most data are obtained from he charge-expansion method of Cohen and Dalgarno [1] which

includes limited configuration mixing. Graphical comparisons of this material within the iso126
electronic sequence depicting the dependence of /-values on nuclear charge have been made,

and the available experimental data for the lower ions, mostly from lifetime measurements, establish fairly definitely that the uncertainties should not exceed 50 percent.

Reference

|1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258—270 (1964).

P x. Allowed Transitions

No. Transition

Array

Multiplet a(A) £,(cm-') EiAcm ') & ftX- Af.i( 10* sec

-1

) u Slat.u.) log ft/ AccuracySource

1 2s22p2 — 2s2p:t 1 a

o 315.42 5897 322937 9 15 31 0.077 0.72 -0.16 D + 1

[318.26] 8580 322790 5 7 31 0.065 0.34 -0.49 D + Is 312.87] 3390 323010 3 5 24 0.058 0.18 -0.76 D + Is 309.44] 0 323160 1 3 18 0.079 0.080 -1.10 D Is 318.04] 8580 323010 5 5 7.6 0.011 0.060 -1.26 D Is [312.72] 3390 323160 3 3 13 0.019 0.060 -1.24 D Is [317.88] 8580 323160 5 3 0.84 7.6 X 10 -4 0.0040 -2.42 E Is

2 “0 1 "0o [269.48] 8580 379660 5 5 58 0.063 0.28 -0.50 D 1 . Is [265.77] 3390 379660 3 5 20 0.035 0.093 -0.98 D- 1, Is

3

! P — :! S

° 206.52 5897 490100 9 3 440 0.093 0.57 -0.08 D + 1

[207.68] 8580 490100 5 3 240 0.094 0.32 -0.33 D + Is 205.46] 3390 490100 3 3 150 0.094 0.19 -0.55 D + Is 204.04] 0 490100 1 3 50 0.094 0.063 -1.03 E Is

4 'D— 'D° [235.27] 59330 484377 5 5 220 0.19 0.72 -0.02 D 1

5 'D — 'P° [207.57] 59330 541090 5 3 280 0.11 0.37 -0.26 D 1

6

. s _ip° [237.16] 119430 541090 1 3 76 0.19 0.15 -0.72 D- 1

P X

Forbidden Transitions

The adopted values represent, as in the case of Navi, the work of Naqvi [1], Malville and

Berger [2], and Froese [3]. For the selection of values, the same considerations as for Navi are applied, the one exception being that Froese’s magnetic dipole values are also used. Since the

observed energy levels are uncertain, it is felt that the £ and rj calculated from her theoretical

energy levels will be as accurate as the experimental ones.

References

[1J Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M., and Berger, R. A., Planetary and Space Science 13, 1131—1136 (1965).

[3] Froese, C., Astrophys. J. 145, 932-935 (1966).

127
P X. Forbidden Transitions

No.

Transition

Array Multiplet M A) £’,(cm _1

) Ek ( cm ') gi gk Type of

Transition Aki (sec ') S(at.u.)

Accuracy Source

1 2p2 — 2p2 [29491] 0 3390 1 3 m 0.698 1.99 B 1, 2. 3

[11652] 0 8580 1 5 e 1.75X10-’ 0.0112 C 3

[19263] 3390 8580 3 5 m 1.87 2.48 B 1. 2, 3

[19263] 3390 8580 3 5 € 3.12 x 10~H 0.0247 C 3

2 *P — 'D

[1685.5] 0 59330 1 5 e 9.2 XIO"4 3.7 X 10-’ D 3

[1787.6] 3390 59330 3 5 m 16.8 0.0178 C 1. 2, 3

[1787.6] 3390 59330 3 5 e 0.0034 1.9 x 10-4 D 3

[1970.4] 8580 59330 5 5 m 37.3 0.053 C 1. 2. 3

[1970.4] 8580 59330 5 5 e 0.015 0.0013 D 3

3

:i P — 1 S

[861.77] 3390 119430 3 1 m 405 0.0096 C 2, 3

[902.12] 8580 119430 5 1 e 0.31 1.1 x 10-4 D 3

4 'D-'S

[1663.9] 59330 119430 5 1 e 5.8 0.0437 C 3

Pxi

Ground State ls 2 2s22/;

2 P°/2

Ionization Potential 479.4 eV = 3867500 cm- '

Allowed Transitions

Values for the majority of the transitions are calculated from the nuclear charge-expansion

method of Cohen and Dalgarno [1], which includes limited configuration mixing. Graphical comparisons with other data for the lower ions of this isoelectronic sequence indicate that the uncertainties should be within 50 percent.

For the 2p

2 P° — 35 2 S and 2p

2 P° — 3d 2 D multiplets we have obtained data by exploiting the

dependence of /-values on nuclear charge: In these cases accurate data for several other ions of

the boron sequence are available from extended self-consistent field calculations by Weiss [2] in

which configuration mixing is fully included. Utilizing those values, which are also supported by

some experimental results on lower ions, we have obtained the /-values of the two transitions

simply by graphical interpolation.

References

[1] Cohen, M.. and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

[2] Weiss, A. W., private communication (1967).

128
P XI. Allowed Transitions

No. Transition

Array

Multiplet x(A) E,( cm '). ^•(cnr 1 ) g\ gk /h-/(10

K sec ') Jik S(at.u.) log gf Accuracy

Source

1 2s22p — 2s2p2 2p°_2D 321.83 6467 317190 6 10 26 0.068 0.43 -0.39 D 1

[325.21] 9700 317190 4 6 26 0.061 0.26 -0.61 D Is [315.27] 0 317190 2 4 23 0.067 0.14 -0.87 D Is [325.21] 9700 317190 4 4 4.3 0.0068 0.029 -1.57 E Is

2

2 po_ 2 S 251.98 6467 403330 6 2 110 0.034 0.17 -0.69 D + 1

[254.05] 9700 403330 4 2 68 0.033 0.11 -0.88 D + Is [247.94] 0 403330 2 2 38 0.035 0.057 -1.15 D Is

3

2p° 2p 236.27 6467 429707 6 6 200 0.16 0.76 -0.02 D + 1

[236.99] 9700 431650 4 4 160 0.13 0.42 -0.28 D + Is 234.84] 0 425820 2 2 130 0.11 0.17 -0.66 D + Is 240.32] 9700 425820 4 2 61 0.027 0.084 -0.97 E Is [231.67] 0 431650 2 4 34 0.055 0.084 -0.96 E Is

4 2s2p2 — 2p

:i 4 P- 4 S° 265.80 [ 183283 ] [559500] 12 4 180 0.065 0.68 -0.11 D + 1

[268.02] [186400] [559500] 6 4 89 0.064 0.34 -0.42 D + Is [264.41] [181300] [559500] 4 4 63 0.066 0.23 -0.58 D + Is [262.05] [177900] [559500] 2 4 31 0.064 0.11 -0.89 D + Is

5 2p— ('S)3s 2 P

o_2S 46.134 6467 2174060 6 2 2100 0.022 0.020 -0.88 C interp

46.203] 9700 2174060 4 2 1400 0.022 0.013 -1.06 C Is [45.997] 0 2174060 2 2 700 0.022 0.0067 -1.36 D Is

6 2p — ('S)3d Q

O 1 CM a- 42.710 6467 2347866 6 10 1.4 X 104 0.64 0.54 0.58 C interp

[42.764] 9700 2348130 4 6 1.4 x 104 0.57 0.32 0.36 C Is [42.599] 0 2347470 2 4 1.2 x 104 0.64 0.18 0.11 C Is [42.776] 9700 2347470 4 4 2300 0.064 0.036 -0.59 D Is

P XI

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1J. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).P XI. Forbidden Transitions

No.

Transition

Array Multiplet MA) Ed cm 1 ) Ek { cm ') gi gk

Type of

Transition Aki ( sec

-1

) S(at.u.)

Accuracy Source

1 2p — ('S)2p 2 po _ 2 po

[10306] 0 9700 2 4 m 8.19 1.33 A 1

129
P XII

Ground State ls 2 2s 2 'So

Ionization Potential 560.3 eV =4520500 cm - '

Allowed Transitions

Garstang and Shamey [1] have obtained the /-value for the intercombination line 2 'So — 2

3 P°

by calculating the ratio of this line against the resonance transition in the intermediate coupling

approximation and by using for the resonance line a value calculated according to Cohen and

Dalgarno’s method [2]. The data calculated from the charge-expansion method of Cohen and

Dalgarno [2], which includes limited configuration mixing, are estimated to be usually accurate

to 50 percent or better, while the charge-expansion method of Naqvi and Victor [3] should be less

reliable when the effects of configuration interaction are strong, since these are neglected entirely. In assigning the accuracy estimates for these methods as well as for the Coulomb approximation

we were to a great extent guided by studying the degree of fit of the data into the systematic trends

along isoelectronic sequences.

References

[1] Garstang, R. H., and Shamey, L. J., Astrophys. J. 148, 665-666 (1967).

[2] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

[3] Naqvi, A. M., and Victor, G. A., Technical Documentary Report No. RTD TDR—63-3118 (1964).

P xil. Allowed Transitions

No. Transition

Array

Multiplet mA) £i(cnr') Ek(cm ') gi ^Ai(10K sec ') fk S(at.u.) l"g Kf Accuracy

Source

1 2s2 — 2s( 2 S)2p 'S- 3P°

[536.51] 0 [186390] 1 3 0.0086 1.1 x 10-4 2.0 X 10-4 -3.96 D In

2 do 1 *0o [278.68] 0 358840 1 3 70 0.245 0.225 -0.61 C 2

3 2s2p — 2p

2 3p° _ :sp [335.57] [192990] [490990] 5 5 43 0.072 0.40 -0.44 D + 2, Is [328.30] [186390] [490990] 3 5 15 0.040 0.13 -0.92 D + 2, Is

4 0o l 6 [557.57] 358840 538190 3 5 13 0.10 0.55 -0.52 D- 2

5 2s2 — 2s ( 2 S)3p

hc 1 -oo [37.345] 0 2677740 1 3 1.1 X 10* 0.66 0.81 -0.18 E 3

6 2s2p-2s( 2 S)3s .p°_. s [44.045] 358840 2629250 3 1 850 0.0083 0.0036 -1.60 E 3

7 2s3s — 2s( 2 S)3p >S-'P° [2061.6] 2629250 2677740 1 3 0.79 0.152 1.03 -0.82 C 3

8 2p3s — 2p( 2 P°)3p 0o 1 0 [1407.5] 2876720 2947770 3 5 2.59 0.128 1.78 -0.416 C ca

9 2s3p — 2s(

2 S)3d 'P°-'D [1208.5] 2677740 2760490 3 5 3.28 0.120 1.43 - 0.444 C ca

10 2p3p — >D — 'F° [1906.9] 2947770 3000210 5 7 0.86 0.065 2.05 -0.488 C ca

2p(2P°)3d

11 01 0O [1568.1] 2947770 3011540 5 3 0.0443 9.8 X 10"4 0.0253 -2.310 C ca

130
Pxn

Forbidden Transitions

Naqvi’s calculations [1] are the only available source. The results for the :! P° — :i P° transitions are essentially independent of the choice of the interaction parameters. For the :i P°— 1 P° transitions, Naqvi uses empirical term intervals, i.e., the effects of configuration interaction should be

partially included.

Reference

[1] Naqvi. A. M., Thesis Harvard (1951).

P XII. Forbidden Transitions

Transition

x( A)

Type of AccuNo. Array Multiplet Ei (cm 1 ) Fa (cm ') gi gk Transi- Aa-,- (sec ') S(at.u.) racy Source

tion

1 2s2p—2s(z S)2p :ip° _ :sp° [31242] [183190] [186390] 1 3 m 0.590 2.00 B 1 [15147] [186390] [192990] 3 5 m 3.88 2.50 A 1

2

:sp° ip°

[569.31] [183190] 358840 1 3 m 77 0.00158 C 1 [579.88] [186390] 358840 3 3 m 1940 0.0421 c 1 [602.95] [192990] 358840 5 3 m 81 0.00197 c 1

P XIII

Ground State ls2 2s ~S i ,o

Ionization Potential 611.45 eV = 4933060 cm’ 1

Allowed Transitions

For the transition 2s — 2p, the charge-expansion calculation of Cohen and Dalgarno [1] is chosen. An uncertainty of less than 10 percent is indicated from the graphical comparison of

this value with the other material for the same transition within the isoelectronic sequence. Data

for the other listed transitions have been obtained from the Coulomb approximation. Plots of the

dependence of /-value on nuclear charge for all these transitions have been made and show that

this material connects up very smoothly with the data for the lower ions as well as with the hydrogenic value for infinite nuclear charge. Based on this impressive agreement, accuracies of 10

percent (or 25 percent for some of the smaller values) are indicated.

Reference

[1] Cohen. M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

131
P XIII. Allowed Transitions

No. Transition

Array

Multiplet \(A) Ej( cm-1

) ftlcnr 1 ) ///.-,( 10* sec ') fx S(at.u.) 1‘>S «/' Accuracy

Source

1 2s — 2p

2 S _2po 464.24 0 215407 2 6 10.4 0.100 0.307 -0.699 B 1

[456.10] 0 219250 2 4 10.9 0.0683 0.205 -0.865 B Is [481.42] 0 207720 2 2 9.26 0.0322 0.102 -1.191 B Is

2 2s — 3p 2S _2po 35.110 0 2848230 2 6 6180 0.343 0.0792 -0.164 B ca

35.086] 0 2850150 2 4 6190 0.229 0.0528 -0.339 B Is [35.157] 0 2844390 2 2 6150 0.114 0.0264 -0.642 B Is

3 2p — 3s 2 P

o_2S 38.767 215407 2794900 6 2 2610 0.0196 0.0150 -0.930 B ca

[38.825] 219250 2794900 4 2 1730 0.0196 0.0100 -1.106 B Is [38.652] 207720 2794900 2 2 877 0.0196 0.00500 -1.407 B Is

4 2p —3d 2 P

°_ 2 D 37.655 215407 2871076 6 10 1.90 x 104 0.675 0.502 0.607 B ca

[37.702] 219250 2871620 4 6 1.90 x 104 0.606 0.301 0.385 B Is 37.558] 207720 2870260 2 4 1.60 x 104 0.675 0.167 0.130 B Is [37.721] 219250 2870260 4 4 3160 0.0674 0.0335 -0.569 B Is

5 3s — 3p

2S- 2 P

° 1875.1 2794900 2848230 2 6 0.953 0.151 1.86 -0.520 B ca

[1810.0] 2794900 2850150 2 4 1.06 0.104 1.24 -0.682 B Is [2020.0] 2794900 2844390 2 2 0.762 0.0466 0.620 -1.031 B Is

6 3p — 3d 2 P°- 2D 4375.9 2848230 2871076 6 10 0.0583 0.0279 2.41 -0.776 B ca

[4656.4] 2850150 2871620 4 6 0.0485 0.0236 1.45 -1.025 B Is [3864.4] 2844390 2870260 2 4 0.0705 0.0316 0.803 -1.199 B Is [4971.3] 2850150 2870260 4 4 0.00664 0.00246 0.161 -2.007 B Is

132
SULFUR

S i

Ground State ls22s2 2/?6

3.s 2 3p4 3 P2

Ionization Potential 10.357 eV = 83559.3 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

1277.3 10 1474.39 7 7696.73 32

1283.8 10 1474.57 7 8449.54 33

1286.7 10 1483.04 7 8451.55 33

1295.66 9 1483.23 7 8452.14 33

1296.17 9 1485.61 3 8670.19 29

1302.34 9 1487.15 7 8670.65 29

1302.87 9 1666.69 13 8671.37 29

1303.11 9 1687.49 2 8679.00 29

1303.42 22 1706.38 12 8679.70 29

1305.89 9 1706.9, 12 8680.47 29

1316.57 20 1707.13 12 8693.24 29

1316.6 20 1782.26 19 8693.98 29

1323.5 20 1807.34 6 8694.70 29

1323.52 20 1819.2 18 8874.53 24

1326.64 20 1820.36 6 8880.1 24

1381.57 1 1826.26 6 8880.70 24

1385.52 1 1900.27 5 8882.47 24

1388.46 1 1914.68 5 8884.23 24

1389.16 1 2168.9 11 9035.92 30

1392.61 1 2190.6 17 9036.32 30

1396.15 1 3015.7 16 9036.73 30

1401.54 21 4694.13 27 9038.72 30

1409.37 21 4695.45 27 9039.27 30

1412.90 21 4696.25 27 9039.5 30

1425.10 4 5278.10 28 9212.91 25

1425.2 4 5278.70 28 9228.11 25

1425.23 4 5278.99 28 9237.49 25

1433.33 4 6403.58 34 10455.5 26

1437.01 4 6408.13 34 10456.8 26

1444.32 8 6415.50 34 10459.5 26

1448.25 15 6743.58 31 11403 23

1452.6 8 6748.79 31 11406 23

1471.82 14 6757.16 31 11453 23

1472.5 14 7679.60 32 11464 23

1474.01 7 7686.13 32 11472 23

For the vacuum uv portion of the spectrum, two experimental data sources are available.

Muller [1] has carried out a wall-stabilized arc experiment for many lines in this region; since his

absolute values agree within a few percent with the scale provided by the lifetime measurements

of Savage and Lawrence [4] employing the phase shift technique, we have in this case not renor- malized these values to the lifetime scale as we have usually done. Lawrence [2] has performed

intermediate coupling calculations for all possible transitions in the 3/r4 — 3/?34s array; these numbers are normalized by means of the scale provided by the lifetime experiment of Savage and Lawrence [4] above. Lawrence’s values are chosen whenever Muller is not available. In the visible

region of the spectrum, transition probabilities have been measured by Bridges and Wiese [3] using
a wall-stabilized arc, by Foster [6] with a vortex arc and by Miller [5] with a conventional shock-tube.

All three experiments agree well on a relative basis, but the absolute scale of Bridges and Wiese

is about a factor of two higher than that of the other two authors. The absolute values are estimated

to be of only moderate accuracy, of the order of 20 to 50 percent, due to difficulties in determining

the populations of the atomic states from which the emission takes place. We have therefore re- normalized the data of Bridges and Wiese, which are more complete than the others, to the scale

provided by the Coulomb approximation. This scale is just about in between the two experimental

scales and it fits extremely well into the /-value regularities observed for homologous atoms. The

Coulomb approximation is employed for the remainder of the transitions listed and is expected to give results with uncertainties within 50 percent, except for those transitions involving shell- equivalent electrons.

References

[1] Miiller, D., Z. Naturforsch. 23a, 1707—1716 (1968).

[2] Lawrence, G. M., Astrophys. J. 148, 261-268 (1967).

[3] Bridges, J. M., and Wiese, W. L., Phys. Rev. 159, 31-38 (1967).

[4] Savage, B. D., and Lawrence, G. M., Astrophys. J. 146, 940-943 (1966).

[5] Miller, M. H., Thesis Maryland (1968) and to be published.

[6] Foster, E. W., Proc. Phys. Soc. London A90, 275-282 (1967).

Si. Allowed Transitions

No. Transition Multiplet MA) £i(cm _l

) Ek( cm”1 ) gi gk Aki fik S(at. u.) log gf Accu- Source

Array (108 sec

-1

) racy

1 3s23p4 — 3s3p5 3p _ 3p° 1388.7 196 72206 9 9 0.012 3.4 x 10-4 0.014 -2.51 D 1

(7 uv)

1388.46 0 72026 5 5 0.0055 1.6 X 10-4 0.0037 -3.10 D 1 1389.16 397 72383 3 3 0.0017 4.9 X 10-5 6.7 X 10-4 -3.83 D 1 1381.57 0 72383 5 3 0.0054 9.3 X 10-5 0.0021 -3.33 D 1 1385.52 397 72572 3 1 0.013 1.2 x 10-4 0.0016 -3.44 D 1 1396.15 397 72026 3 5 0.0057 2.8 x 10-4 0.0039 -3.08 D 1 1392.61 574 72383 1 3 0.0052 4.5 X 10-4 0.0021 -3.35 D 1

2

i S _ip° 1687.49 22181 81441 1 3 0.94 0.12 0.67 -0.92 D 1

3 3p4 -3p3

( 4 S°)3d 3 P — 5 D°

(4 uv)

1485.61 574 67886 1 3 0.023 0.0023 0.011 -2.64 D 1

4 3p _ 3J)° 1429.1 196 70169 9 15 3.6 0.18 7.8 0.21 D 1 (5 uv)

1425.10 0 70171 5 7 3.5 0.15 3.5 -0.12 D 1, Is 1433.33 397 70167 3 5 2.7 0.14 2.0 -0.38 D 1, Is 1437.01 574 70166 1 3 2.0 0.19 0.90 -0.72 D 1 1425.23 0 70167 5 5 0.89 0.027 0.63 -0.87 D- 1. Is 1433.33 397 70166 3 3 1.6 0.048 0.68 -0.84 D- 1. Is [1425.2] 0 70166 5 3 0.099 0.0018 0.042 -2.05 E 1 , Is

5 3p4 -3p3

( 4 S°)4s 3 p_5S

°

(1 uv)

1900.27 0 52624 5 5 6.6 x 10-4 3.6 x lO"5 0.0011 -3.74 D 1 1914.68 397 52624 3 5 1.9 X 10-4 1.7 x 10-5 3.2 X lO"4 -4.29 D 1

6 3p _ 3§° 1813.7 196 55331 9 3 7.1 0.12 6.3 0.03 C 1 (2 uv)

1807.34 0 55331 5 3 4.1 0.12 3.6 -0.22 C 1 1820.36 397 55331 3 3 2.2 0.11 2.0 -0.48 C 1 1826.26 574 55331 1 3 0.73 0.11 0.66 -0.96 C 1

7 3p4 -3p3

(2 D°)4s' sp _ 3 J)° 1478.5 196 67832 9 15 1.7 0.094 4.1 -0.07 D 1,2

(3 uv)

1474.01 0 67843 5 7 1.6 0.075 1.8 -0.43 D 1 1483.04 397 67826 3 5 1.2 0.066 0.97 -0.70 D 1, 2 1487.15 574 67817 1 3 0.89 0.089 0.44 -1.05 D 1 1474.39 0 67826 5 5 0.57 0.019 0.45 -1.02 D 1, 2 1483.23 397 67817 3 3 0.75 0.025 0.36 -1.12 D 1,2

1474.57 0 67817 5 3 0.068 0.0013 0.032 -2.19 D 1, 2

134
S I. Allowed Transitions — Continued

No. Transition Multiplet X(A) Ej(cm~ i) ^•(cnr 1

! ffi gk /ffci(10« fik S(at.u.) log gf Accu- Source

Array sec~‘) racy

8 3 P->D°

1444.32 0 69239 5 5 0.026 8.1 x 10-4 0.019 -2.39 D 1 [1452.6 ] 397 69239 3 5 0.0035 1.8 x 10-4 0.0026 -3.27 D 2

9 3p4 — 3p3

(2 P°)4s" ! P — 3 P° 1299.2 196 77166 9 9 5.7 0.15 5.6 0.13 D 1, 2

(9 uv)

1295.66 0 77181 5 5 4.8 0.12 2.6 -0.22 D 1 1302.87 397 77151 3 3 1.1 0.028 0.36 -1.07 D 2 1296.17 0 77151 5 3 2.4 0.037 0.79 -0.73 D 1 1303.11 397 77136 3 1 4.8 0.041 0.53 -0.91 D 1 1302.34 397 77181 3 5 1.3 0.056 0.72 -0.77 D 2 1305.89 574 77151 1 3 1.7 0.13 0.56 -0.89 D 2

10 GO 13 1 13 O [1277.3] 0 78290 5 3 0.0012 1.8 X 10-5 3.7 x 10-4 -4.05 D

c [1283.8] 397 78290 3 3 7.8 X 10-7 1.9 x 10-8 2.4 X 10-7 -7.24 D

r [1286.7] 574 78290 1 3 1.7 X 10-5 1.3 X 10-6 5.4 x 10-6 -5.89 D

e

11 3p4 — 3p3

(4 S°)4s <D — 3 S°

[2168.9] 9239 55331 5 3 4.9 x 10-4 2.1 x 10-5 7.4 x 10"4 -3.98 D

c

12 3p4 — 'D — 3 D°

3p3

( 2 D°)4s' (10 uv)

1706.38 9239 67843 5 7 0.0012 7.5 x 10-5 0.0021 -3.43 D 1 [1706.9] 9239 67826 5 5 1.6 x l0-» 7.0 x 10-7 2.0 x 10-5 -5.46 D

c 1707.13 9239 67817 5 3 0.0050 1.3 x 10-4 0.0037 -3.19 D 1

13 1D-‘D°

(11 uv)

1666.69 9239 69239 5 5 5.8 0.24 6.6 0.08 C 1

14 3P

4 - 1 D — 3 P°

3p:i ( 2 P°)4s"

1471.82 9239 77181 5 5 0.025 8.1 x 10-4 0.020 -2.39 D ] [1472.5] 9239 77151 5 3 0.0053 1.0 x 10-4 0.0025 -3.30 D

c

15 'D-'P°

(12 uv)

1448.25 9239 78290 5 3 6.9 0.13 3.1 -0.19 D ]

16 3p4 -3p3

(4S°)4s , S

3 S°

[3015.7] 22181 55331 1 3 1.2 X 10-4 4.9 X 10-5 4.9 X 10-4 -4.31 D

r

17 3p4 — 'S — 3 D°

3p3

(2 D°)4s'

[2190.6] 22181 67817 1 3 0.0042 9.1 x 10-4 0.0065 -3.04 D

c

18 3p

4 — C/) 1 CO 130 3p3

( 2 P°)4s"

[1819.2] 22181 77151 1 3 6.3 x 10-4 9.4 x 10-» 5.6 X 10-4 -4.03 D

c

19 'S-'P° 1782.26 22181 78290 1 3 1.5 0.22 1.3 -0.66 D 1 (13 uv)

20 3p4 -3p3

( 4 S°)4r/ 3p_3J)° 1320.0 196 75955 9 15 0.94 0.041 1.6 -0.43 D 1 (8 uv)

1316.57 0 75957 5 7 0.96 0.035 0.76 -0.76 D 1, U

1323.52 397 75953 3 5 0.69 0.030 0.39 -1.05 D 1, h

1326.64 574 75952 1 3 0.45 0.036 0.16 -1.44 D 1 [1316.6] 0 75953 5 5 0.24 0.0063 0.14 -1.50 D 1, h

[1323.5] 397 75952 3 3 0.38 0.010 0.13 -1.52 D 1. h

[1316.6] 0 75952 5 3 0.027 4.2 x 10-4 0.0091 -2.68 E 1. li

21 3p4 -3p3

(4S°)5s 3 P — 3 S° 1405.3 196 71353 9 3 1.6 0.016 0.65 -0.84 D 1 (6 uv)

1401.54 0 71353 5 3 0.91 0.016 0.37 -1.10 D 1 1409.37 397 71353 3 3 0.50 0.015 0.21 -1.35 D 1 1412.90 574 71353 1 3 0.16 0.014 0.065 -1.85 D 1

135
S I. Allowed Transitions — Continued

Transition Multiplet \(A) £i(cm'‘) £V(cm-1

) £*• S(at.u.) log gf Accu- Source

Array sec

-1

) racy

3p4 — 3p3

( 4 S°)6s 3p_3g°

1303.42 0 76721 5 3 1.9 0.029 0.62 -0.84 D 1

3pi3d— 3 D°— 5 F 11464 67885 [76653] 25 35 0.18 0.50 470 1.10 E ca 3p3

( 4 S°)4/ (19)

11453 67878 [76653] 9 11 0.18 0.44 150 0.60 E Is 11472 67890 [76653' 7 9 0.15 0.39 100 0.43 E Is [11406] 67888 [76653' 5 7 0.13 0.35 65 0.24 E Is [11403] 67886 [76653' 3 5 0.10 0.34 38 0.01 E Is 11464 67885 [76653 1 3 0.085 0.50 19 -0.30 E Is 11453 67878 [76653] 9 9 0.031 0.060 20 -0.27 E Is 11472 67890 [76653

7 7 0.055 0.11 29 -0.12 E Is [11406] 67888 [766531 5 5 0.074 0.14 27 -0.14 E Is [11403] 67886 [76653' 3 3 0.087 0.17 19 -0.30 E Is 11453 67878 [76653' 9 7 0.0026 0.0040 1.4 -1.44 E Is 11472 67890 [76653' 7 5 0 0073 0.010 2.7 -1.14 E Is [11406] 67888 [76653' 5 3 0.012 0.014 2.7 -1.14 E Is

3p33d — 5 D° — 5 F 8880.1 67885 79143 25 35 0.10 0.17 120 0.63 E ca 3p3

( 4 S°)5/ (21)

8874.53 67878 79143 9 11 0.10 0.15 39 0.13 E Is 8884.23 67890 79143 7 9 0.083 0.13 26 -0.05 E Is 8882.47 67888 79143 5 7 0.069 0.11 17 -0.25 E Is 8880.70 67886 79143 3 5 0.056 0.11 9.7 -0.48 E Is [8880.1] 67885 79143 1 3 0.047 0.17 4.8 -0.78 E Is 8874.53 67878 79143 9 9 0.017 0.020 5.2 -0.75 E Is 8884.23 67890 79143 7 7 0.030 0.035 7.3 -0.60 E Is 8882.47 67888 79143 5 5 0.040 0.047 6.9 -0.63 E Is 8880.70 67886 79143 3 3 0.047 0.055 4.8 -0.78 E Is 8874.53 67878 79143 9 7 0.0014 0.0013 0.35 -1.93 E Is 8884.23 67890 79143 7 5 0.0040 0.0034 0.69 -1.63 E Is 8882.47 67888 79143 5 3 0.0067 0.0047 0.69 -1.63 E Is

3p34s — 5 S°_5p 9223.4 52624 63463 5 15 0.29 1.1 170 0.74 D + 3n 3p3f 4 S°)4p (1) 9212.91 52624 63475 5 7 0.30 0.53 80 0.42 D + 3n 9228.11 52624 63457 5 5 0.28 0.36 55 0.26 D + 3/2 9237.49 52624 63446 5 3 0.28 0.22 33 0.04 D + 3n

3S°_3p 10456 55331 64892 3 9 0.22 1.1 110 0.52 D + 3n

(3) 10455.5 55331 64893 3 5 0 22 0.60 62 0.26 D + Is 10459.5 55331 64889 3 3 0.22 0.36 37 0.03 D + Is 10456.8 55331 64892 3 1 0.22 0.12 12 -0.44 D + Is

3pHs — 5 S°_5P 4695.1 52624 73917 5 15 0.0074 0.0074 0.57 -1.43 D + 3n 3p3( 4 S°)5p (2) 4694.13 52624 73921 5 7 0.0076 0.0035 0.27 -1.76 D + Is 4695.45 52624 73915 5 5 0.0074 0.0025 0.19 -1.90 D + Is 4696.25 52624 73912 5 3 0.0072 0.0014 0.11 -2.15 D Is

3§°_3P 5278.7 55331 74270 3 9 0.0038 0.0048 0.25 -1.94 D + 3/i (4) 5278.99 55331 74269 3 5 0.0038 0.0026 0.14 -2.10 D + Is 5278.70 55331 74270 3 3 0.0038 0.0016 0.083 -2.32 D + Is 5278.10 55331 74272 3 1 0.0038 5.3 X lO-4 0.028 -2.80 D Is

3p34p — 5 P — 5 D° 8684.2 63463 74975 15 25 0.12 0.22 93 0.52 D + 3n 3p 3

( 4 S°)4<7 (6) 8694.70 63475 74973 7 9 0.11 0.16 33 0.05 D + Is 8680.47 63457 74974 5 7 0.075 0.12 17 -0.23 D + Is 8671.37 63446 74975 3 5 0.040 0.076 6.5 -0.64 D Is 8693.98 63475 74974 7 7 0.038 0.043 8.7 -0.52 D Is 8679.70 63457 74975 5 5 0.068 0.077 11 -0.41 D + Is 8670.65 63446 74976 3 3 0.087 0.098 8.4 -0.53 D Is 8693.24 63475 74975 7 5 0.0074 0.0060 1.2 -1.38 D- Is 8679.00 63457 74976 5 3 0.029 0.020 2.8 -1.00 D- Is 8670.19 63446 74977 3 1 0.12 0.043 3.7 -0.89 D- Is

No.

22

23

24

25

26

27

28

29

136
S I. Allowed Transitions — Continued

No. Transition Multiplet x(A) filcm'1) £t(cnr') Pi Aa- /G,(10« fik S(at.u.) log gf Accu- Source

Array sec

-1

) racy

30 3 P — 3 D° 9036.7 64892 75955 9 15 0.029 0.059 16 -0.27 D ca

(13)

9035.92 64893 75957 5 7 0.029 0.049 7.3 -0.61 D Is 9036.32 64889 75953 3 5 0.022 0.044 3.9 -0.88 D Is 9038.72 64892 75952 1 3 0.016 0.059 1.7 -1.23 D- Is 9039.27 64893 75953 5 5 0.0072 0.0088 1.3 -1.36 D- Is 9036.73 64889 75952 3 3 0.012 0.015 1.3 -1.36 D- Is [9039.5] 64893 75952 5 3 8.0 X 10-4 5.9 X 10-4 0.087 -2.53 E Is

31 3p34/> — 5P — 5 D° 6751.2 63463 78271 15 25 0.079 0.090 30 0.13 D + 3n 3p3

( 4 S°)5</ (8) 6757.16 63475 78271 7 9 0.080 0.070 11 -0.31 D + Is 6748.79 63457 78271 5 7 0.053 0.050 5.6 -0.60 D + Is 6743.58 63446 78271 3 5 0.028 0.032 2.1 -1.02 D Is 6757.16 63475 78271 7 7 0.026 0.018 2.8 -0.90 D Is 6748.79 63457 78271 5 5 0.046 0.032 3.5 -0.80 D Is 6743.58 63446 78271 3 3 0.059 0.041 2.7 -0.92 D Is 6757.16 63475 78271 7 5 0.0053 0.0026 0.40 -1.75 E Is 6748.79 63457 78271 5 3 0.020 0.0081 0.90 -1.39 E Is 6743.58 63446 78271 3 1 0.079 0.018 1.2 -1.27 D- Is

32 3/; 34p - 3 P-5 S° 7689.6 63463 76464 15 5 0.061 0.018 6.8 -0.57 D ca 3p3

(4 S°)6s (7) 7696.73 63475 76464 7 5 0.028 0.018 3.1 -0.91 D Is 7686.13 63457 76464 5 5 0.020 0.018 2.2 -1.06 D Is 7679.60 63446 76464 3 5 0.012 0.018 1.3 -1.28 D Is

33 3 P — 3S° 8451 .6 64892 76721 9 3 0.050 0.018 4.5 -0.79 D ca

(14)

8452.14 64893 76721 5 3 0.028 0.018 2.5 -1.04 D Is 8449.54 64889 76721 3 3 0.017 0.018 1.5 -1.26 D Is 8451.55 64892 76721 1 3 0.0057 0.018 0.51 -1.74 D- Is

34 3p34p — o

i(7 C/) CL, 1 6410.5 63463 79058 15 5 0.029 0.0059 1.9 -1.05 D ca 3p3

( 4 S°)7s (9) 6415.50 63475 79058 7 5 0.013 0.0059 0.87 -1.39 D Is 6408.13 63457 79058 5 5 0.0095 0.0059 0.62 -1.53 D Is 6403.58 63446 79058 3 5 0.0057 0.0059 0.37 -1.75 D- Is

Si

Forbidden Transitions

The adopted values have been derived from Naqvi [1], and Czyzak and Krueger [2]. Since their

methods are essentially alike, Naqvi’s and Czyzak and Krueger’s magnetic dipole transitions have

normally been averaged, except for the 3 P— ’S transition where configuration interaction is important. In this case Czyzak and Krueger’s empirically derived value has been preferred over

Naqvi’s, which is based purely on theory (see also General Introduction). McConkey, Burns, Moran,

and Kernahan [3] have measured the relative intensities of the ’D? — 'So and the ! Pi — ’So lines

obtaining a ratio of 5.1 ±0.7 in perfect agreement with Czyzak and Krueger’s theoretical ratio of

5.09.

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Czyzak, S. J. & Krueger, T. K., Monthly Notices Roy. Astron. Soc. 126, 177-194 (1963).

[3] McConkey, J. W., Burns, D. J., Moran, K. A. and Kernahan, J. A., Nature 217, 538-539 (1968).

137
Si,. Forbidden Transitions

Transition Type of AccuNo. Array Multiplet X(A) Ei { cm ') Fa- ( c m ') gi gk Transi- Aa; ( sec ’) S(at.u.) racy Source

tion

1 3p4 —3p4 3p 3p

[ 25.239 x 104

] 0.00 396.11 5 3 e 8.4 x 10-9 15.4 C 2

[ 25.239 X 104

] 0.00 396.11 5 3 m 0.00140 2.50 A 1

[ 17.427 X 104

] 0.00 573.66 5 1 e 7.1 x 10-8 6.8 C 2

[56.307 X 1041 396.11 573.66 3 1 m 3.02 x 10-4 2.00 A 1

2

3 P_’D

(IF)

10819.8 0.00 9238.52 5 5 e 2.1 x 10~* 0.094 D 2

10819.8 0.00 9238.52 5 5 m 0.0275 0.0065 C 1,2

11305.8 396.11 9238.52 3 5 e 2.5 X 10-5 0.014 D 2 11305.8 396.11 9238.52 3 5 m 0.0080 0.00215 C 1, 2 11540.1 573.66 9238.52 1 5 e 5.0 x 10-6 0.0030 D 2

3

3 p — i s

(2F)

4506.9 0.00 22180.0 5 1 e 0.0073 0.0081 D 2

4589.26 396.11 22180.0 3 1 m 0.35 0.00125 C 2

4

4 D — 4 S

(3F)

7725.04 9238.52 22180.0 5 1 e 1.78 29.1 C 2

Sll

Ground State is

22s'

z2i>

63s'23p3 4 S3/2

Ionization Potential 23.4 eV= 188824.5 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

1124.39 3 3860.64 22 4153.10 19

1125.00 3 3892.32 22 4162.70 19

1131.05 3 3923.48 23 4165.11 26

1131.65 3 3933.29 23 4168.41 19

1234.14 2 3939.49 20 4174.04 26

1250.50 1 3946.98 20 4180.7 26

1253.79 1 3950.42 20 4189.71 26

1259.53 1 3963.13 20 4189.71 19

3317.70 18 3970.69 20 4213.5 19

3547.9 24 3971.2 20 4217.23 19

3567.17 24 3979.86 25 4249.92 27

3616.92 24 3990.94 20 4255.01 19

3639.1 24 3998.79 25 4257.42 27

3783.16 29 4003.89 20 4259.18 27

3792.46 22 4009.39 23 4267.80 21

3802.65 22 4028.79 20 4269.76 21

3809.67 22 4032.81 25 4278.54 21

3821.0 22 4050.11 20 4282.63 21

3850.93 22 4142.29 19 4291.45 21

3860.15 29 4145.10 19 4294.43 21

138
List of tabulated lines — Continued

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

4318.69 21 4901.30 31 5509.67 8

4333.84 21 4908.5 10 5518.74 34

4342.84 30 4917.15 14 5526.22 5 4391.84 30 4924.08 9 5536.77 5 4402.86 30 4925.32 9 5556.01 8

4432.41 30 4942.47 9 5559.06 34

4456.43 30 4991.94 9 5564.94 8

4463.58 30 5006.71 33 5578.85 5 4483.42 30 5009.54 9 5606.11 5 4486.66 30 5014.03 14 5616.63 5

4524.68 17 5027.19 4 5639.96 13 4524.95 17 5032.41 9 5645.62 8

4552.38 17 5047.28 14 5646.98 13

4656.74 11 5103.30 9 5659.95 5 4681.32 10 5126.13 33 5664.73 5

4700.21 32 5142.33 4 5819.22 13 4716.23 11 5198.89 33 6305.51 6

4729.45 31 5201.00 16 6312.68 7 4742.4 10 5201.32 16 7885.26 28

4779.11 10 5212.6 16 7967.43 12

4792.02 31 5212.61 16 8005.24 28

4804.12 10 5320.70 15 8018.70 28

4815.52 11 5345.67 15 8093.25 28

4819.60 31 5345.7 15 8133.02 28

4819.60 32 5362.69 34 8222.15 28

1824.07 32 5400.67 34 8223.16 28

4835.85 31 5428.64 8 8233.30 28

4883.73 31 5432.77 8 8314.73 12 4885.63 14 5453.81 8

4900.47 31 5473.59 8

Miiller [1] has measured the /-values for three multiplets in the vacuum uv portion of this

spectrum using a wall-stabilized arc. His absolute values have been renormalized to the scale

provided by the lifetime determinations of Savage and Lawrence [5] employing the phase shift

technique.

In the visible region, Bridges and Wiese [2] have carried out a wall-stabilized arc experiment

for several lines, while Miller [3] has performed measurements with a conventional shock tube.

Garstang [4] has calculated relative line strengths in intermediate coupling for all possible transitions in the 4s —

4

p array. The experimental approaches, which do not provide very accurate

absolute values, are slightly renormalized to the scale obtained from the Coulomb approximation

for the prominent 4s 4 P.->/2 — 4/? 4 D°/2 line (X5454). The relative values of all three methods are in

good agreement and, where available, the normalized results are averaged (an exception is the

4s 4 P — 4p 4 S° multiplet; here the two experiments agree, but deviate strongly from theory; it seems

likely that the classification is here erroneous).

The Coulomb approximation is employed for many other transitions in this ion; it should be

pointed out. however, that these values may have large uncertainties due to significant departures

from LS coupling. The departures will affect the weaker lines within these multiplets more strongly.

References

[1J Miiller, D., Z. Naturforsch. 23a, 1707-1716 (1968).

[2] Bridges, J. M., and Wiese, W. L., Phys. Rev. 159 , 31-38 (1967).

[3] Miller, M. H., Thesis Maryland (1968) and to be published.

[4] Garstang, R. H., Monthly Notices Roy. Astron. Soc. 114 , 118-133 (1954).

[5] Savage, B. D., and Lawrence, G. M., Astrophys. J. 146, 940-943 (1966).

308-022 0-69—12

139
S II. Allowed Transitions

No. Transition

Array

Multiplet x(A) £i(cm_1

) Ekicm- 1

) gk .4*i<10» sec

-1

) U S(at.u.) logs/ Accuracy

Source

1 3s23p3 — 3s3p4 4 S°- 4 P 1256.1 0 79612 4 12 0.39 0.028 0.46 -0.95 c In

(1 uv)

1259.53 0 79395 4 6 0.34 0.012 0.20 -1.32 c In 1253.79 0 79758 4 4 0.42 0.010 0.17 -1.40 c In 1250.50 0 79968 4 2 0.46 0.0054 0.089 -1.67 c In

2

2 p°_2p

(7 uv)

1234.14 24573 105599 4 4 0.048 0.0011 0.018 -2.36 D + In

3 3p3 — 3p2

( 3 P)4s 2 P° — 2 P 1127.0 24557 113286 6 6 4.0 0.076 1.7 -0.34 D In

(8 uv)

1125.00 24573 113461 4 4 3.1 0.059 0.87 -0.63 D In 1131.05 24524 112937 2 2 2.7 0.051 0.38 -0.99 D In 1131.65 24573 112937 4 2 1.1 0.011 0.16 -1.36 D In 1124.39 24524 113461 2 4 0.84 0.032 0.24 -1.19 D In

4 3s3p4 — 2 P — 2 S°

3s2 3p2 4p (1)

5027.19 105599 125485 4 2 0.26 0.048 3.2 -0.72 D + 2 n, 3n

5142.33 106044 125485 2 2 0.19 0.074 2 5 -0.83 D' 3n

5 3pz 3d— 4F — 4 D°

3p2

( 3 P)4p (ID

5606.11 110766 128599 10 8 0.30 0.11 21 0.04 D + 2 n. 3n

5659.95 110313 127976 6 4 0.34 0.11 12 -0.18 D + 2 n, 3n

5664.73 110177 127825 4 2 0.38 0.091 6.8 -0.44 D + 2 n. 3n

5526.22 110508 128599 8 8 0.081 0.037 5.4 -0.53 D 3n 5578.85 110313 128233 6 6 0.074 0.034 3.8 -0.69 D 3n 5616.63 110177 127976 4 4 0.083 0.039 2.9 -0.81 D 3n 5536.77 110177 128233 4 6 0.066 0.045 3.3 -0.74 D 3n

6

4 D — 4 P°

(19)

6305.51 114279 130134 8 6 0.18 0.078 13 -0.20 D 2n

7

2 F — 2 D°

(26)

6312.68 114804 130641 6 4 0.20 0.080 10 -0.32 D 2n

8 3p245 - O

Oh 1 Q 5468.3 110005 128287 12 20 0.81 0.60 130 0.86 D + 2n. 3p2

( 3 P)4p (6) 3n, 4n

5453.81 110268 128599 6 8 0.78 0.46 50 0.44 D + 2n. 3n. 4n

5432.77 109831 128233 4 6 0.61 0.41 29 0.21 D + 2 n. 3n, 4n

5428.64 109561 127976 2 4 0.38 0.34 12 -0.17 D + 2 n. 3n, 4n

5564.94 110268 128233 6 6 0.16 0.076 8.3 -0.34 D + 2n,

3n, 4n

5509.67 109831 127976 4 4 0.39 0.18 13 -0.14 D + 2 n. 3n, 4n

5473.59 109561 127825 2 2 0.74 0.33 12 -0.18 D + 2 n. 3n, 4n

5645.62 110268 127976 6 4 0.018 0.0056 0.63 -1.47 D 4n

5556.01 109831 127825 4 2 0.15 0.036 2.6 -0.84 D 3n, 4n

9 4p 4p° 5003.9 110005 129984 12 12 0.89 0.33 66 0.60 D 2n.

(7) 3n, 4n

5032.41 110268 130134 6 6 0.66 0.25 25 0.18 D + 2 n. 3n, 4n

4991.94 109831 129858 4 4 0.15 0.056 3.7 -0.65 D 3n, 4n

4942.47 109561 129788 2 2 0.15 0.055 1.8 -0.96 D 3n, 4n

5103.30 110268 129858 6 4 0.50 0.13 13 -0.11 D 3n, 4n

5009.54 109831 129788 4 2 0.70 0.13 8.7 -0.28 D 3n, 4n

4924.08 109831 130134 4 6 0.22 0.12 7.7 -0.32 D 3n. 4n

4925.32 109561 129858 2 4 0.24 0.17 5.6 -0.47 D 3n. 4n

140
S II. Allowed Transitions — Continued

No Transition Multiplet A(A) £i(cm_1

) ftlcrn-1

) A'fr //a/(10« fik Slat.u.) log gf Accu- Source

Array sec

-1

) racy

10 4 P- 2 D°

( 8 ) 4779.11 110268 131187 6 6 0.011 0.0037 0.35 - 1.65 D 4n

4804.12 109831 130641 4 4 5.9 X 10-4 2.1 X 10-4 0.013 - 3.09 D 4n 4681.32 109831 131187 4 6 0.0030 0,0015 0.091 - 2.23 D 4n 4742.4 109561 130641 2 4 0.0012 8.3 X 10-4 0.026 - 2.78 D 4n

[ 4908. 5 ] 110268 130641 6 4 0.0031 7.4 x 10-4 0.072 - 2.35 D 4n

11 4 P- 4 S° 4755.1 110005 131029 12 4 0.99 0.11 21 0.12 D + 2n. 3n

(9) 4815.52 110268 131029 6 4 0.64 0.15 14 - 0.05 D + 2 n. 3n

4716.23 109831 131029 4 4 0.23 0.076 4.7 - 0.52 D + 2n. 3n 4656.74 109561 131029 2 4 0.12 0.078 2.4 - 0.81 D 3n

12 2 p_ 2 S

o 8195.1 113286 125485 6 2 0.24 0.080 13 - 0.32 D 4n

( 12 ) 8314.73 113461 125485 4 2 0.16 0.085 9.3 - 0.47 D 4n 7967.43 112937 125485 2 2 0.080 0.076 4.0 - 0.82 D 4n

13 2 P _2D

° 5653.6 113286 130969 6 10 0.75 0.60 67 0.56 D 2n

.

( 14) 3n. 4n 5639.96 113461 131187 4 6 0.75 0.54 40 0.33 D 4n 5646.98 112937 130641 2 4 0.68 0.65 24 0.11 D 4n 5819.22 113461 130641 4 4 0.085 0.043 3.3 - 0.76 D + 2n. 3n. 4n

14 2P _ 2 f

>° 4981.2 1 13286 133356 6 6 0.85 0.32 31 0.28 D 3 /2 . 4n

( 15 ) 5014.03 113461 133400 4 4 0.72 0.27 18 0.03 D 3n, 4n 4917.15 112937 133269 2 2 0.55 0.20 6.4 - 0.40 D 3n. 4/? 5047.28 113461 133269 4 2 0.32 0.060 4.0 - 0.62 D 4/2 4885.63 112937 133400 2 4 0.13 0.090 2.9 - 0.74 D 4/2

15 3p

24s' — 2d _ 2F° 5331.3 121529 140281 10 14 0.85 0.51 89 0.71 D + 2/2 . 3p

2

( 3 P ) 4c? ( 38) 3/2 . 4/2 5320.70 121529 140319 6 8 0.84 0.48 50 0.46 D + 2 /2 . 3 /2 . 4/2 5345.67 121528 140230 4 6 0.75 0.48 34 0.28 D + 2/2 . 3/2 . 4/2

[ 5345. 7 ] 121529 140230 6 6 0.11 0.045 4.8 - 0.57 D + 2/2 . 3/2 . 4/2

16 o Q 1 Q 5208.0 121529 140725 10 10 0.79 0.32 55 0.51 D 3 /2 , 4/2

( 39) 5212.61 121529 140709 6 6 0.72 0.29 30 0.24 D 3/2 , 4/2 5201.00 121528 140750 4 4 0.68 0.28 19 0.05 D 3/2 , 4/2 5201.32 121529 140750 6 4 0.065 0.018 1.8 - 0.97 D 3/2 , 4/2

[ 5212 . 6 ] 121528 140709 4 6 0.098 0.060 4.1 - 0.62 D 3 /2 , 4/2

17 2 Q_2P

0 4534.1 121529 143578 10 6 1.2 0.21 32 0.32 D 3 /2 , 4/2

( 40) 4524.95 121529 143623 6 4 0.98 0.20 18 0.08 D 3/2 , 4/2 4552.38 121528 143489 4 2 1.3 0.20 12 - 0.10 D 4/2 4524.68 121528 143623 4 4 0.093 0.029 1.7 - 0.94 D 3/2 , 4/2

18 3p

24p — 2 §°__ 2 p

3p

2

( 3 P) 4d ( 42 ) 3317.70 125485 [ 155618 ] 2 2 1.3 0.21 4.7 - 0.37 E ca. Is

19 a

o I 4159.6 128287 152321 20 28 2.3 0.84 230 1.23 D- CO

( 44) 4162.70 128599 152615 8 10 2.3 0.76 83 0.78 D- Is 4153.10 128233 152305 6 8 2.0 0.70 57 0.62 D- Is 4145.10 127976 152094 4 6 1.8 0.69 38 0.44 D- Is 4142.29 127825 151959 2 4 1.7 0.86 24 0.24 D- Is 4217.23 128599 152305 8 8 0.33 0.088 9.8 - 0.15 E Is 4189.71 128233 152094 6 6 0.57 0.15 12 - 0.04 E Is 4168.41 127976 151959 4 4 0.66 0.17 9.5 - 0.16 E Is 4255.01 128599 152094 8 6 0.022 0.0045 0.50 - 1.45 E Is 4213.5 128233 151959 6 4 0.041 0.0083 0.69 - 1.30 E Is 141
S II. Allowed Transitions —Continued

No. Transition Multiplet mA) £i(cm_1

) Ek( cm"1

) gi gk ^«(108 U S(at.u.) log gf Accu- Source

Array sec-1

) racy

20 1 Q

0 Q 3995.8 128287 153306 20 20 0.60 0.14 38 0.46 D- ca

(45)

4028.79 128599 153414 8 8 0.51 0.12 13 -0.00 D- Is 3990.94 128233 153283 6 6 0.35 0.083 6.6 -0.30 E Is 3963.13 127976 153202 4 4 0.24 0.058 3.0 -0.64 E Is 3946.98 127825 153154 2 2 0.31 0.072 1.9 -0.84 E Is 4050.11 128599 153283 8 6 0.11 0.021 2.2 -0.78 E Is 4003.89 128233 153202 6 4 0.21 0.034 2.7 -0.69 E Is 3970.69 127976 153154 4 2 0.31 0.036 1.9 -0.84 E Is [3971.2] 128233 153414 6 8 0.087 0.027 2.1 -0.79 E Is 3950.42 127976 153283 4 6 0.14 0.050 2.6 -0.70 E Is 3939.49 127825 153202 2 4 0.15 0.072 1.9 -0.84 E Is

21 •V

o 1 a 4286.6 129984 153306 12 20 1.7 0.77 130 0.96 D- ca

(49)

4294.43 130134 153414 6 8 1.7 0.61 52 0.56 D- Is 4267.80 129858 153283 4 6 1.2 0.48 27 0.28 E Is 4269.76 129788 153202 2 4 0.70 0.38 11 -0.12 E Is 4318.69 130134 153283 6 6 0.49 0.14 12 -0.08 E Is 4282.63 129858 153202 4 4 0.89 0.24 14 -0.01 E Is 4278.54 129788 153154 2 2 1.4 0.38 11 -0.12 E Is 4333.84 130134 153202 6 4 0.082 0.15 1.3 -1.03 E Is 4291.45 129858 153154 4 2 0.28 0.038 2.2 -0.81 E Is

22 4p° 4p 3851.1 129984 155943 12 12 0.87 0.20 30 0.37 D- ca

(50)

3892.32 130134 155818 6 6 0.63 0.14 11 -0.06 D- Is [3821.0] 129858 156029 4 4 0.12 0.026 1.3 -0.98 E Is 3792.46 129788 156148 2 2 0.15 0.032 0.80 -1.19 E Is 3860.64 130134 156029 6 4 0.40 0.060 4.6 -0.44 E Is 3802.65 129858 156148 4 2 0.74 0.080 4.0 -0.49 E Is 3850.93 129858 155818 4 6 0.27 0.091 4.6 -0.44 E Is 3809.67 129788 156029 2 4 0.38 0.16 4.1 -0.49 E Is

23 2D°— 2F 3931.6 130969 156397 10 14 2.1 0.67 87 0.83 D- ca

(55)

3933.29 131187 156604 6 8 2.0 0.63 49 0.58 D- Is 3923.48 130641 156121 4 6 2.0 0.68 35 0.44 E Is 4009.39 131187 156121 6 6 0.14 0.034 2.7 -0.70 E Is

24 2 D° — 2 D 3596.9 130969 158763 10 10 0.38 0.074 8.8 -0.13 D- ca

(56)

3616.92 131187 158827 6 6 0.36 0.070 5.0 -0.38 D- Is 3567.17 130641 158666 4 4 0.35 0.067 3.1 -0.57 D- Is [3639.1] 131187 158666 6 4 0.039 0.0052 0.37 -1.51 E Is [3547.9] 130641 158827 4 6 0.025 0.0071 0.33 -1.55 E Is

25 4 So_ 4 p 4012.7 131029 155943 4 12 1.2 0.85 45 0.53 D- ca

(59)

4032.81 131029 155818 4 6 1.2 0.43 23 0.24 D- Is 3998.79 131029 156029 4 4 1.2 0.28 15 0.05 E Is 3979.86 131029 156148 4 2 1.2 0.14 7.2 -0.26 E Is

26 3p2 4p' — 2p° 2p 4179.1 140281 164203 14 14 0.79 0.21 40 0.46 D- ca 3p2

(

1 D)4t/' (64)

4189.71 140319 164181 8 8 0.74 0.20 22 0.19 D- Is 4165.11 140230 164232 6 6 0.74 0.19 16 0.06 D- Is 4180.7 140319 164232 8 6 0.037 0.0072 0.79 -1.24 E Is 4174.04 140230 164181 6 8 0.028 0.0096 0.79 -1.24 E Is

27 Uh Q

O 1 •M 4258.1 140725 164203 10 14 1.5 0.57 80 0.76 D- ca

(66)

4259.18 140709 164181 6 8 1.5 0.55 46 0.52 D- Is 4257.42 140750 164232 4 6 1.4 0.57 32 0.36 E Is 4249.92 140709 164232 6 6 0.10 0.027 2.3 -0.79 E Is

142
S II. Allowed Transitions — Continued

No. Transition Multiplet \(A) £i(cm_l

) Ek( cnr 1 ) gi gk ^JMllO8 lik S(at.u.) log gf Accu- Source

Array sec

-1

) racy

28 3p24d— 4F — 4 D° 8204.6 152321 164506 28 20 0.14 0.10 77 0.46 D- ca 3p2

(3 P)5p (68)

8223.16 152615 164773 10 8 0.12 0.098 27 -0.01 D- Is 8233.30 152305 164447 8 6 0.12 0.089 19 -0.15 E Is 8223.16 152094 164252 6 4 0.12 0.080 13 -0.32 E Is 8222.15 151959 164119 4 2 0.15 0.076 8.3 -0.51 E Is 8018.70 152305 164773 8 8 0.013 0.013 2.7 -0.99 E Is 8093.25 152094 164447 6 6 0.024 0.024 3.8 -0.84 E Is 8133.02 151959 164252 4 4 0.029 0.029 3.1 -0.94 E Is 7885.26 152094 164773 6 8! 6.4 X 10-4 8.0 X 10-4 0.12 -2.32 E Is 8005.24 151959 164447 4 6! 0.0013 0.0019 0.20 -2.12 E Is

29 3p24p — 2 S°

2 P 3808.4 125485 151735 2 6 0.15 0.10 2.5 -0.70 D- ca 3p2

( 3 P)5s (41)

3783.16 125485 151911 2 4 0.15 0.064 1.6 -0.89 D- Is 3860.15 125485 151384 2 2 0.16 0.036 0.92 -1.14 E Is

30 "iCu o Q 4456.9 128287 150718 20 12i 0.76 0.14 40 0.48 D 3n,ca

(43)

4463.58 128599 150996 8 6; 0.53 0.12 14 -0.02 D 3 n 4483.42 128233 150531 6 4! 0.31 0.062 5.5 -0.43 D 3n 4486.66 127976 150258 4 2 0.66 0.10 5.9 -0.40 D 3n 4391.84 128233 150996 6 6 0.16 0.046 4.0 -0.56 E ca , Is 4432.41 127976 150531 4 4 0.29 0.087 5.1 -0.46 E ca , Is 4456.43 127825 150258 2 2 0.47 0.14 4.1 -0.56 E ca , Is 4342.84 127976 150996 4 6 0.018 0.0075 0.43 -1.52 E ca. Is 4402.86 127825 150531 2 4 0.046 0.027 0.77 -1.27 E ca. Is

31 4p° 4p 4821.6 129984 150718 12 12 0.54 0.19 36 0.36 D- ca

(46)

4792.02 130134 150996 6 6 0.37 0.13 12 -0.12 D- Is 4835.85 129858 150531 4 4 0.072 0.025 1.6 -0.99 E Is 4883.73 129788 150258 2 2 0.091 0.032 1.0 -1.19 E Is 4901.30 130134 150531 6 4 0.24 0.058 5.6 -0.46 E Is 4900.47 129858 150258 4 2 0.45 0.081 5.3 -0.49 E Is 4729.45 129858 150996 4 6 0.16 0.080 5.0 -0.49 E Is 4819.60 129788 150531 2 4 0.23 0.16 5.0 -0.50 E Is

32 •2J)°_2p 4814.2 130969 151735 10 6 0.85 0.18 28 0.25 D- ca

(52)

4824.07 131187 151911 6 4 0.76 0.18 17 0.02 D- Is 4819.60 130641 151384 4 2 0.86 0.15 9.5 -0.22 E Is 4700.21 130641 151911 4 4 0.084 0.028 1.7 -0.95 E Is

33 4 S°- 4 P 5077.6 131029 150718 4 12 0.18 0.21 14 -0.08 D- ca

(57)

5006.71 131029 150996 4 6 0.17 0.098 6.5 -0.41 D- Is 5126.13 131029 150531 4 4 0.18 0.069 4.7 -0.56 E Is 5198.89 131029 150258 4 2 0.18 0.036 2.4 -0.85 E Is

34 2p° 2p 5439.5 133356 151735 6 6 0.50 0.22 24 0.13 D- ca

(61)

5400.67 133400 151911 4 4 0.40 0.18 13 -0.15 D- Is 5518.74 133269 151384 2 2 0.32 0.15 5.4 -0.53 E Is 5559.06 133400 151384 4 2 0.16 0.037 2.7 -0.83 E Is 5362.69 133269 151911 2 4 0.081 0.070 2.5 -0.86 E Is

143
Sii

Forbidden Transitions

All the values for this ion are taken from Czyzak and Krueger [1], since they have included the

important effects of configuration interaction and have used self-consistent field wavefunctions with

exchange to obtain their value of sq

. (For a more complete discussion see General Introduction.)

Reference

[1] Czyzak, S. J., and Krueger, T. K., Monthly Notices Roy. Astron. Soc. 126, 177-194 (1963).

Sii. Forbidden Transitions

Transition

MA)

Type of AccuNo. Array Multiplet Ei( cm-1

) Fdcm-1 ) gi gk Transition

/4 fc i(sec _1

) S(at.u.) racy Source

1 3p3 — 3p3 4 S

0 _2D°

(2F)

6716.42 0.0 14884.8 4 6 m 3.63 x 10-5 2.45 X 10-6 C 1 6716.42 0.0 14884.8 4 6 e 4.3 x 10-4 0.021 D 1 6730.78 0.0 14853.0 4 4 m 1.56 x 10-4 7.1 X 10-6 C 1 6730.78 0.0 14853.0 4 4 e 2.7 x 10-4 0.0090 D 1

2 »S° — 2 P°

(IF)

4068.60 0.0 24571.6 4 4 m 0.341 0.00341 C 1 4068.60 0.0 24571.6 4 4 e 1.3 X 10-6 3.5 x 10-6 D 1 4076.35 0.0 24524.9 4 2 m 0.134 6.7 X 10-4 C 1 4076.35 0.0 24524.9 4 2 e 1.4 X 10-5 1.8 X 10-5 D 1

3 2D°- 2 D°

[31.44 X 105

] 14853.0 14884.8 4 6 m 3.47 X 10-7 2.40 B 1 [31.44 x 10s

] 14853.0 14884.8 4 6 e 1.5 x 10- 16 0.17 D 1

4

2 jyo__>p°

(3F)

10317.7 14884.8 24571.6 6 4 m 0.060 0.0098 C 1 10317.7 14884.8 24571.6 6 4 e 0.154 42.9 C 1 10336.0 14853.0 24524.9 4 2 m 0.067 0.0054 C 1 10336.0 14853.0 24524.9 4 2 e 0.131 18.4 C 1 10369.7 14884.8 24524.9 6 2 e 0.087 12.4 c 1 10284.3 14853.0 24571.6 4 4 m 0.108 0.0174 c 1 10284.3 14853.0 24571.6 4 4 e 0.067 18.2 c 1

5

to 0 1 O [21.41 X 105

] 24524.9 24571.6 2 4 m 9.14 X 10-7 1.33 c + 1 [21.41 X 105

] 24524.9 24571.6 2 4 e 8.9 X 10- 16 0.096 D 1

144
Ground State

Ionization Potential

Is22s22/?63s23p2 3 P0

35.0 eV = 282752 cm" 1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

1190.17 1 2856.02 10 3750.74 2 1194.02 1 2863.53 10 3752.9 2 1194.40 1 2872.00 10 3778.90 8

1200.97 1 2897.5 10 3831.85 8

1201.71 1 2904.31 10 3837.80 8

1202.10 1 2947.2 10 3838.32 8

2443.3 13 2949.2 12 3860.64 8

2460.50 13 2950.23 12 3899.09 8

2489.59 13 2962.7 12 3900.0 6

2496.24 13 2964.80 12 3920.37 6

2499.08 13 2985.98 12 3928.62 6

2508.15 13 2998.8 12 3961.55 6

2636.88 14 3231.10 4 3983.77 6

2665.40 14 3233.24 4 3985.97 6

2680.47 14 3234.17 4 4253.59 7

2691.68 14 3324.01 3 4284.99 7 2702.76 14 3324.87 3 4332.71 7 2709.9 11 3367.18 3 4340.30 7 2714.1 11 3369.49 3 4354.56 5

2718.88 11 3370.38 3 4361.53 7

2721.40 14 3387.13 3 4364.73 5 2726.82 15 3632.02 2 4418.84 7 2731.10 11 3656.61 9 4439.87 5 2741.01 11 3662.01 9 4467.83 5 2756.89 11 3709.37 2 4478.48 5

2775.25 11 3710.42 2 4499.29 5 2785.49 15 3717.78 9 4527.96 5 2797.39 15 3747.90 2

Varsavsky [1] has calculated a value for one multiplet of this ion using the screening-approximation method; this number should be quite uncertain (probably too high, as judged from comparisons in other ions), since the possibly important effects of configuration interaction have been

neglected entirely. For numerous other transitions, including those involving shell-equivalent

electrons, the Coulomb approximation has been employed in order to have data available for some

of the more prominent lines in this spectrum. From the general success of this method and from

comparisons with analogous transitions in other ions, uncertainties of 50 percent are normally

expected; however, the uncertainties should be somewhat larger for those transitions involving

shell-equivalent electrons.

Reference

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).
Sill. Allowed Transitions

No. Transition Multiplet X(A) £i(cm-1

) Ek( cm ! ) g> gk ^Ari(10

8 sec J ) fik S(at.u.) log gf Accu- Source

Array racy

1 3s2 3p2 — 3s3p3 3p 3£)° 1197.5 562 84066 9 15 17 0.62 22 0.75 E 1 (1 uv)

1200.97 833 84100 5 7 17 0.51 10 0.40 E Is 1194.02 297 84046 3 5 13 0.46 5.4 0.14 E Is 1190.17 0 84019 1 3 9.6 0.61 2.4 -0.21 E Is 1201.71 833 84046 5 5 4.2 0.091 1.8 -0.34 E Is 1194.40 297 84019 3 3 7.1 0.15 1.8 -0.34 E Is 1202.10 833 84019 5 3 0.47 0.0061 0.12 -1.52 E Is

2 3p3d— 3p°_3J) 3680.7 143118 170279 9 15 0.010 0.0034 0.37 -1.52 E ca

3p(2 P°)4p (1) 3632.02 143124 170649 5 7 0.010 0.0029 0.17 -1.84 E Is 3709.37 143116 170067 3 5 0.0075 0.0026 0.094 -2.11 E Is 3747.90 143096 169770 1 3 0.0054 0.0034 0.042 -2.47 E Is 3710.42 143124 170067 5 5 0.0025 5.2 x 10-4 0.031 -2.59 E Is 3750.74 143116 169770 3 3 0.0041 8.6 x 10-4 0.032 -2.59 E Is [3752.9] 143124 169770 5 3 2.7 X 10-4 3.4 x 10-5 0.0021 -3.77 E Is

3

w

o 1 CO ^3 3346.2 143118 1 72994 9 9 0.32 0.053 5.3 -0.32 E ca

(2) 3324.87 143124 173192 5 5 0.24 0.039 2.2 -0.71 E Is 3369.49 143116 172786 3 3 0.077 0.013 0.44 -1.41 E Is 3370.38 143124 172786 5 3 0.13 0.013 0.73 -1.18 E Is 3387.13 143116 172631 3 1 0.30 0.017 0.58 -1.28 E Is 3324.01 143116 173192 3 5 0.079 0.022 0.72 -1.18 E Is 3367.18 143096 172786 1 3 0.10 0.052 0.58 -1.28 E Is

4 3p°_3g 3233.4 143118 174036 9 3 1.3 0.070 6.7 -0.20 E ca

(3) 3234.17 143124 174036 5 3 0.75 0.070 3.7 -0.46 E Is 3233.24 143116 174036 3 3 0.45 0.070 2.2 -0.68 E Is 3231.10 143096 174036 1 3 0.15 0.070 0.75 -1.15 E Is

5 1 3 D°— 3 D 4425.3 147688 170279 15 15 0.11 0.031 6.8 -0.33 E ca

(7) 4364.73 147745 170649 7 7 0.097 0.028 2.8 -0.71 E Is 4467.83 147691 170067 5 5 0.072 0.021 1.6 -0.97 E Is 4499.29 147550 169770 3 3 0.076 0.023 1.0 -1.16 E Is 4478.48 147745 170067 7 5 0.016 0.0034 0.35 -1.62 E Is 4527.96 147691 169770 5 3 0.025 0.0046 0.34 -1.64 E Is 4354.56 147691 170649 5 7 0.012 0.0049 0.35 -1.61 E Is 4439.87 147550 170067 3 5 0.016 0.0077 0.34 -1.63 E Is

6 3J)°_3p 3950.5 147688 1 72994 15 9 0.73 0.10 20 0.19 E ca

(8) 3928.62 147745 173192 7 5 0.59 0.098 8.9 -0.16 E Is 3983.77 147691 172786 5 3 0.51 0.073 4.8 -0.44 E Is 3985.97 147550 172631 3 1 0.68 0.054 2.1 -0.79 E Is 3920.37 147691 173192 5 5 0.11 0.025 1.6 -0.91 E Is 3961.55 147550 172786 3 3 0.17 0.041 1.6 -0.91 E Is [3900.0] 147550 173192 3 5 0.0072 0.0027 1.1 -2.09 E Is

7 3p4s — 3p°_3J) 4287.1 146960 170279 9 15 1.2 0.55 70 0.70 D ca

3p(2 P°)4p (4) 4253.59 147146 170649 5 7 1.2 0.47 33 0.37 D Is 4284.99 146737 170067 3 5 0.90 0.41 17 0.09 D Is 4332.71 146696 169770 1 3 0.64 0.54 7.7 -0.27 D- Is 4361.53 147146 170067 5 5 0.28 0.081 5.8 -0.39 D- Is 4340.30 146737 169770 3 3 0.48 0.14 5.8 -0.39 D- Is 4418.84 147146 169770 5 3 0.030 0.0053 0.39 -1.57 E Is

8 3p° 3p 3840.0 146960 172994 9 9 1.7 0.38 43 0.53 D ca

(5) 3838.32 147146 173192 5 5 1.3 0.28 18 0.14 D Is 3837.80 146737 172786 . 3 3 0.42 0.092 3.5 -0.56 D Is 3899.09 147146 172786 5 3 0.67 0.092 5.9 -0.34 D Is 3860.64 146737 172631 3 1 1.6 0.12 4.7 -0.44 D Is 3778.90 146737 173192 3 5 0.44 0.16 5.8 -0.33 D Is 3831.85 146696 172786 1 3 0.56 0.37 4.7 -0.43 D Is 146
Sill. Allowed Transitions — Continued

No. Transition

Array

Multiplet mA) ^(cm ') ^(cm-') gi gk ^fci(10

H sec *) fik S(at.u.) log gf Accuracy

Source

9 3p°_3g 3692.3 146960 174036 9 3 1.9 0.13 14 0.06 D ca

(6) 3717.78 147146 174036 5 3 1.0 0.13 7.8 -0.20 D Is 3662.01 146737 174036 3 3 0.64 0.13 4.6 -0.42 D Is 3656.61 146696 174036 1 3 0.21 0.13 1.5 -0.89 D- Is

10 3p4p —

•

3 J) 3p° 2865.7 170279 205164 15 21 5.7 0.99 140 1.17 D ca

3p(2 P°)4c? (15 uv)

2863.53 170649 205561 7 9 5.7 0.90 59 0.80 D Is 2856.02 170067 205071 5 7 5.1 0.87 41 0.64 D Is 2872.00 169770 204579 3 5 4.7 0.97 28 0.46 D Is 2904.31 170649 205071 7 7 0.61 0.077 5.2 -0.27 D- Is [2897.5] 170067 204579 5 5 0.86 0.86 5.1 -0.27 D- Is [2947.2] 170649 204579 7 5 0.024 0.0022 0.15 -1.81 E Is

11 3 D—3 D° 2740.6 170279 206757 15 15 1.6 0.18 24 0.42 D ca

(16 uv)

2756.89 170649 206911 7 7 1.4 0.16 9.9 0.04 D Is 2731.10 170067 206672 5 5 1.1 0.12 5.4 -0.22 D Is 2718.88 169770 206539 3 3 1.2 0.13 3.5 -0.41 D Is 2775.25 170649 206672 7 5 0.24 0.019 1.2 -0.87 D- Is 2741.01 170067 206539 5 3 0.39 0.026 1.2 -0.88 D- Is [2714.1] 170067 206911 5 7 0.18 0.027 1.2 -0.87 D- Is [2709.9] 169770 206672 3 5 0.24 0.043 1.2 -0.88 D- Is

12 3p_3£)° 2961 .0 172994 206757 9 15 4.0 0.88 77 0.90 D ca

(14)

(18 uv) 2964.80 173192 206911 5 7 4.0 0.74 36 0.57 D Is 2950.23 172786 206672 3 5 3.0 0.66 19 0.30 D Is [2949.2] 172631 206539 1 3 2.2 0.88 8.5 -0.06 D- Is 2985.98 173192 206672 5 5 0.99 0.13 6.5 -0.18 D- Is [2962.7] 172786 206539 3 3 1.7 0.22 6.4 -0.18 D- Is [2998.8] 173192 206539 5 3 0.11 0.0088 0.44 -1.36 E Is

13 3p4p — 3jQ 3p° 2495.6 170279 210338 15 9 3.0 0.17 21 0.41 D ca 3p (2 P°)5s (17 uv)

2496.24 170649 210698 7 5 2.5 0.17 9.7 0.07 D Is 2508.15 170067 209926 5 3 2.3 0.13 5.4 -0.18 D Is 2499.08 169770 209773 3 1 3.1 0.097 2.4 -0.53 D- Is 2460.50 170067 210698 5 5 0.45 0.041 1.7 -0.69 D- Is 2489.59 169770 209926 3 3 0.77 0.072 1.8 -0.67 D- Is [2443.3] 169770 210698 3 5 0.030 0.0045 0.11 -1.87 E Is

14 3p 3p° 2677.0 172994 210338 9 9 1.9 0.20 16 0.26 D ca

(19 uv)

2665.40 173192 210698 5 5 1.4 0.15 6.4 -0.14 D Is 2691.68 172786 209926 3 3 0.46 0.050 1.3 -0.82 D Is 2721.40 173192 209926 5 3 0.77 0.051 2.3 -0.59 D Is 2702.76 172786 209773 3 1 1.9 0.068 1.8 -0.69 D Is 2638.88 172786 210698 3 5 0.45 0.079 2.1 -0.63 D Is 2680.47 172631 209926 1 3 0.62 0.20 1.8 -0.70 D Is

15 3g 3p° 2753.9 174036 210338 3 9 0.61 0.21 5.7 -0.20 D ca

(20 uv)

2726.82 174036 210698 3 5 0.60 0.11 3.0 -0.47 D Is 2785.49 174036 209926 3 3 0.61 0.071 2.0 -0.67 D Is 2797.39 174036 209773 3 1 0.63 0.024 0.66 -1.14 D- Is

147
S III Forbidden Transitions

The adopted values have been derived from Naqvi [1], and Czyzak and Krueger [2]. Since

their methods are essentially alike, Naqvi’s and Czyzak and Krueger’s magnetic dipole transitions

have normally been averaged, except for the 3 P— ! S transition where configuration interaction is important. In this case Czyzak and Krueger’s empirically derived value has been preferred over

Naqvi’s, which is based purely on theory (see also General Introduction).

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Czyzak, S. J., and Krueger, T. K., Monthly Notices Roy. Astron. Soc. 126, 177-194 (1963).

S III. Forbidden Transitions

Transition

mA)

Type of AccuNo. Array Multiplet £i(cm'') Ek(cm r

) gi gk Transition Aki ( sec *) S(at.u.) racy Source

1 3p2 — 3p2 3p — 3p

[33.638 x 104

] 0.0 297.2 1 3 m 4.72 X 10-4 2.00 A 1 [12.009 x 104

] 0.0 832.5 1 5 e 4.69 X 10-8 3.49 C 2

[18.676 x 104

] 297.2 832.5 3 5 m 0.00207 2.50 A 1 [18.676 x 104

] 297.2 832.5 3 5 e 1.16 X 10-8 7.9 C 2

2

3 P — ‘D

(IF)

[8831.5] 0.0 11320 1 5 e 9.1 x 10-6 0.0014 D 2

9069.4 297.2 11320 3 5 m 0.0248 0.00343 C 1, 2 9069.4 297.2 11320 3 5 e 6.1 x 10-5 0.011 D 2

9532.1 832.5 11320 5 5 m 0.064 0.0103 C 1, 2 9532.1 832.5 11320 5 5 e 3.3 x 10-4 0.077 D 2

3

3 P _1 S

(2F)

3721.8 297.2 27163 3 1 m 0.85 0.00162 C 2

3796.7 832.5 27163 5 1 e 0.016 0.0077 D 2

4 'D-'S

(3F)

6312.1 11320 27163 5 1 e 2.54 15.2 C 2

S iv

Ground State ls 2 2s22p63s23p 2 P°/2

Ionization Potential 47.29 eV = 381541.4 cm-1

Allowed Transitions

The screening-approximation calculations of Varsavsky [1] for the 3s2 3p 2 P° — 3s3p2 2 D multiplet are considered to be rather uncertain (probably too high, as judged from comparisons in other

ions) since the important effects of configuration mixing are neglected entirely. Gruzdev and

Prokofev [2] have carried out Coulomb approximation calculations modified with the Seaton

correction for the 3p 2 P° — 4s 2 S multiplet; these results should be reliable to within 25 percent,

as judged from plots depicting/-value dependence on nuclear charge.

148
References

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).

[2] Gruzdev, P. F., and Prokofev, V. K., Optics and Spectroscopy (U.S.S.R.) 21, 151-152 (1966).

S IV. Allowed Transitions

No. Transition

Array

Multiplet mA) is, (cm -1

) Ek(cm~ l ) gi gk Tfc,(108 sec

-1

) U S(at.u.) log gf Accuracy

Source

1 3s23p — 3s3p2 2 p°_ 2 D 1069.6 633 94130 6 10 20 0.57 12 0.53 E 1 (1 uv)

1072.99 950 94148 4 6 20 0.52 7.3 0.32 E Is 1062.67 0 94102 2 4 17 0.59 4.1 0.07 E Is 1073.52 950 94102 4 4 3.3 0.057 0.81 -0.64 E Is

2 3p-0S)4s 2 P°_ 2S 553.10 633 181432 6 2 61 0.094 1.03 -0.249 C 2

[554.07] 950 181432 4 2 40.8 0.094 0.69 -0.425 C Is 551.17 0 181432 2 2 20.6 0.094 0.341 -0.73 C Is

3 4s — (*S)4p 2g _ 2po 3104.1 181432 213647 2 6 2.6 1.1 23 0.35 D + ca

(1) 3097.46 181432 213717 2 4 2.6 0.74 15 0.17 D-F Is 3117.75 181432 213507 2 2 2.5 0.37 7.5 -0.13 D + Is

SlV. Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number, tabulated for example by Naqvi [1]. The transition probability should also be quite accurate,

since the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

Siv. Forbidden Transitions

No. Transition

Array

Multiplet mA) Ei(cm ’) £*(cm-1

) g> gk

Type of

Transition Aki( sec ! ) S(at. u.) Accuracy

Source

1 3p-('S)3p 2p° 2p°

[10.521 x 104

] 0.0 950.2 2 4 m 0.00770 1.33 A 1

149
Sv

Ground State ls2 2s2 2p63s2 ‘So

Ionization Potential 72.5 eV = 584700 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [Aj No. Wavelength [A] No. Wavelength [A] No.

437.37 8 680.90 7 852.185 2 438.19 8 681.68 7 854.792 2

439.65 8 686.11 6 857.872 2 658.262 5 686.95 6 860.462 2 659.853 5 688.07 6 883.54 4

663.155 5 689.85 6 884.45 4

676.21 7 691.74 6 885.77 4

677.35 7 693.53 6 900.90 3

678.12 7 786.476 1 902.83 3

680.36 7 849.241 2 905.89 3

The charge-expansion technique of Crossley and Dalgarno [1], which includes limited configuration mixing, has been employed for the majority of the transitions in this spectrum. Gruzdev and Prokofev [2] have carried out Coulomb approximation calculations, modified with the

Seaton correction, for the 3s3p 3 P° — 3s4s 3 S multiplet. For many of these transitions, the dependence of oscillator strength on nuclear charge has served as an aid in estimating accuracies.

For the resonance line we have chosen an interpolated value in preference to the result by

Crossley and Dalgarno, since their number for S V does not fit too closely into the very firmly

established systematic trend for this transition against nuclear charge (See fig. 4 of the General

Introduction).

References

[1] Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soc. London A286, 510 (1965).

[2] Gruzdev, P. F., and Prokofev, V. K., Optics and Spectroscopy (U.S.S.R.) 21, 151-152 (1966).

150
S V. Allowed Transitions

No.- Transition

Array

Multiplet X(A) fitcm" 1 ) ttnr1 ) gi gk Aki(10H sec -1

) fik Sfat.u.) log gf Accuracy

Source

1 3s2 — 3s(2S)3p >S->P° 786.476 0 127149 1 3 52.5 1.46 3.78 0.164 B interp

(1 uv)

2 3s3p — 3p

2 3p° 3p

tO ,,,A 854.85 [83819] [200798] 9 9 41.8 0.458 11.6 0.62 C + 1

854.792 [84200] [201186] 5 5 31.3 0.343 4.83 0.234 c + Is 854.792 [83433] [200417] 3 3 10.5 0.115 0.97 -0.462 c Is 860.462 [84200] [200417] 5 3 17.1 0.114 1.61 -0.244 c Is 857.872 [83433] [200000] 3 1 41.4 0.152 1.29 -0.341 c Is 849.241 [83433] [201186] 3 5 10.7 0.192 1.61 -0.240 c Is 852.185 [83071] [200417] 1 3 14.1 0.460 1.29 -0.337 c Is

3 3s(2S)3d— 3J)_3p0 904.31 [234987] [345569] 15 9 22 0.16 7.3 0.39 D 1 3p(2 P°)3d

[905.89] [234987] [345376] 7 5 19 0.16 3.4 0.06 D Is [902.83] [234987] [345750] 5 3 17 0.12 1.8 -0.22 D Is [900.90] [234987] [345987] 3 1 22 0.091 0.81 -0.56 D- Is [905.89] [234987] [345376] 5 5 3.3 0.041 0.61 -0.69 D- Is [902.83] [234987] [345750] 3 3 5.6 0.068 0.61 -0.69 D- Is [905.89] [234987] [345376] 3 5 0.22 0.0045 0.041 -1.87 E Is

4

3 D — 3 D° 884.29 [234987] [348072] 15 15 21 0.24 11 0.56 D 1

[883.54] [234987] [348168] 7 7 19 0.22 4.4 0.18 D Is [884.45] [234987] [348051] 5 5 14 0.17 2.5 -0.07 D Is [885.77] [234987] [347883] 3 3 16 0.18 1.6 -0.26 D Is [884.45] [234987] [348051] 7 5 3.2 0.027 0.55 -0.72 D- Is [885.77] [234987] [347883] 5 3 5.2 0.036 0.53 -0.74 D- Is [883.54] [234987] [348168] 5 7 2.3 0.038 0.55 -0.72 D- Is [884.45] [234987] [348051] 3 5 3.1 0.061 0.53 -0.74 D- Is

5 3s3p — 3p°_3J) 661.52 [83819] [234987] 9 15 64.4 0.704 13.8 0.802 B 1 3s( 2S)3d (3 uv)

663.155 [84200] [234987] 5 7 63.9 0.590 6.44 0.470 B Is 659.853 [83433] [234987] 3 5 48.7 0.529 3.45 0.201 B Is 658.262 [83071] [234987] 1 3 36.2 0.706 1.53 -0.151 B Is 663.155 [84200] [234987] 5 5 16.0 0.105 1.15 -0.280 B Is 659.853 [83433] [234987] 3 3 27.0 0.176 1.15 -0.277 B Is 663.155 [84200] [234987] 5 3 1.8 0.0070 0.077 -1.45 D Is

6 3p2 — 3p(2P°)3d 3p 3p° 690.75 [200798] [345569] 9 9 50 0.36 7.3 0.51 D 1

[693.53] [201186] [345376] 5 5 36 0.26 3.0 0.11 D Is [688.07] [200417] [345750] 3 3 13 0.090 0.61 -0.57 D Is [691.74] [201186] [345750] 5 3 20 0.088 1.0 -0.36 D Is [686.95] [200417] [345987] 3 1 51 0.12 0.81 -0.44 D Is [689.85] [200417] [345376] 3 5 12 0.15 1.0 -0.36 D Is [686.11] [200000] [345750] 1 3 17 0.36 0.81 -0.44 D Is

7 3p_3£)° 679.01 [200798] [348072] 9 15 86 0.99 20 0.95 D 1

[680.36] [201186] [348168] 5 7 85 0.83 9.3 0.62 D Is [677.35] [200417] [348051] 3 5 65 0.75 5.0 0.35 D Is [676.21] [200000] [347883] 1 3 48 0.99 2.2 0.00 D Is [680.90] [201186] [348051] 5 5 22 0.15 1.7 -0.12 D Is [678.12] [200417] [347883] 3 3. 37 0.25 1.7 -0.12 D Is [681.68] [201186] [347883] 5 3 2.3 0.0098 0.11 -1.31 E Is

8 3s3p — 3p°_3g 438.88 [83819] [311670] 9 3 100 0.096 1.25 -0.063 C 2

3s( 2 S)4s (4 uv)

439.65 [84200] [311670] 5 3 55 0.096 0.65 -0.319 C Is 438.19 [83433] [311670] 3 3 33.3 0.096 0.415 -0.54 C Is 437.37 [83071] [311670] 1 3 11.2 0.096 0.138 -1.018 C Is

151
S V

Forbidden Transitions

Naqvi’s calculations [1] are the only available source. The results for the 3 P° —3 P° transitions are essentially independent of the choice of the interaction parameters. For the 3 P°— 1 P° transitions, Naqvi uses emperical term intervals, i.e., the effects of configuration interaction should

be partially included.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

Sv. Forbidden Transitions

No.

Transition

Array Multiplet mA) Ej (cm ') Ek (cm ! ) g> gk

Type of

Transition A a-,- (sec ') Sfat.u.)

Accuracy Source

1 3s3p — 3s(2 S)3p 3p° 3p°

[27.62 x 104

] [83071] [83433] 1 3 m 8.53 X 10-4 2.00 B 1 [13.03 x 104

] [83433] [84200] 3 5 m 0.00610 2.50 B 1

2 3p° ip°

[2268.0] [83071] 127149 1 3 m 0.236 3.06 X 10-4 C- 1 [2286.8] [83433] 127149 3 3 m 14.0 0.0186 C- 1 [2327.6] [84200] 127149 5 3 m 0.273 3.83 X 10-4 C — 1

S vi

Ground State ls2 2s22p63s 2 Si /2

Ionization Potential 88.029 eV= 710194 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

191.48 3 464.654 7 944.517 1 191.56 3 648.50 6 971.36 12 248.985 2 648.64 6 975.70 12 249.271 2 650.43 6 1975.5 11 283.50 9 706.480 4 1992.5 11

328.51 8 712.682 4 1993.5 11 388.940 5 712.844 4 2587.4 10

390.859 5 933.382 1 2618.3 10

The only source available for this ion are the charge-expansion calculations of Crossley and

Dalgarno [1] which include limited configuration mixing. Graphical comparisons of this work

with more refined values within the isoelectronic sequence indicate accuracies within 25 percent.

A number of additional values have been obtained from studies of the /-value dependence on

nuclear charge. The reliable material available for other ions of this isoelectronic sequence in

these cases permits the determination of reliable values simply by graphical interpolation.

Reference

[1] Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soc., London A286, 510-518 (1965).

152
S vi. Allowed Transitions

No. Transition

Array

Multiplet MA) Ei( cm ') £t(cm-') Si gA /4 fci (108 sec ') fik S(at.u.) log gf Accuracy

Source

1 3s — 3p 2g 2po 937.07 0 106716 2 6 16.1 0.64 3.92 0.107 C 1

(1 uv)

933.382 0 107137 2 4 16.3 0.425 2.61 -0.071 C Is 944.517 0 105874 2 2 15.7 0.211 1.31 -0.375 C Is

2 3s — ip 2$ _ 2po 249.09 0 401469 2 6 25.6 0.071 0.117 -0.85 c ca

(2 uv)

248.985 0 401621 2 4 25.4 0.0471 0.077 -1.026 c Is 249.271 0 401164 2 2 26.1 0.0244 0.0400 -1.312 c Is

3 3s — 5p 2g _ 2po 191.51 0 522175 2 6 17 0.028 0.035 -1.25 D interp

[191.48] 0 522248 2 4 17 0.018 0.023 -1.44 D Is [191.56] 0 522030 2 2 17 0.0095 0.012 -1.72 D- Is

4 3p — 3d 2p°_ 2J) 710.62 106716 247439 6 10 49.1 0.62 8.7 0.57 C 1 (3 uv)

712.682 107137 247452 4 6 48.5 0.55 5.2 0.346 C Is 706.480 105874 247420 2 4 41.7 0.62 2.90 0.096 C Is 712.844 107137 247420 4 4 8.1 0.062 0.58 -0.61 D Is

5 3p — 4s 2 P°_ 2g 390.22 106716 362983 6 2 121 0.092 0.71 -0.258 C ca

(4 uv)

390.859 107137 362983 4 2 81 0.093 0.477 -0.431 C Is 388.940 105874 362983 2 2 40.3 0.091 0.234 -0.74 c Is

6 3d — 4p

2J) _ 2p° 649.22 247439 401469 10 6

37 0.14 3.0 0.15 c interp

[648.64] 247452 401621 6 4

[650.43] 247420 401164 4 2 33 0.14 1.8 -0.08 c Is [648.50] 247420 401621 4 4 37 0.12 1.0 -0.32 c Is 3.7 0.023 0.20 -1.04 D Is 7 3(7—4/ 2 D _2F

° 464.654 247439 462653 10 14

(5 uv) 202 0.92 14.0 0.96 c + ca

8 3(7-5/ 2 D _2F

° 328.51 247439 551848 10 14 75 0.17 1.8 0.23 c interp

9 3(7-6/ 2£) _ 2F

° 283.50 247439 600170 10 14 37 0.062 0.58 -0.21 c interp

10 4s — 4p

2g _ 2po 2597.6 362983 401469 2 6 3.2 0.97 17 0.29 c interp

[2587.4] 362983 401621 2 4 3.2 0.65 11 0.11 c Is [2618.3] 362983 401164 2 2 3.2 0.33 5.7 -0.18 c Is

11 4p — id 2po 2p 1986.9 401469 451 799 6 10 10 1.0 39 0.78 c interp

[1992.5] 401621 451808 4 6 9.8 0.88 23 0.55 c Is [1975.5] 401164 451785 2 4 8.5 1.0 13 0.30 c Is [1993.5] 401621 451785 4 4 1.7 0.099 2.6 -0.40 D Is

12 ip — 5s 2po 2g 974.25 401469 504112 6 2 38 0.18 3.5 0.03 C interp

[975.70] 401621 504112 4 2 25 0.18 2.3 -0.14 c Is [971.36] 401164 504112 2 2 13 0.19 1.2 -0.42 c Is

153
S vii

Ground State ls22s22p6

Ionization Potential 280.99 eV = 2266990 cm-1

Allowed Transitions

Calculations by Kastner, Omidvar, and Underwood [1], employing Hartree-Fock wavefunctions

and including intermediate coupling, are available. Since the calculations are based on a single —

configuration approximation only, uncertainties of up to 50 percent are expected for the strong

lines and even higher uncertainties for the weak lines, the latter being more affected by assumptions about the coupling.

Reference

[1] Kastner, S. O., Omidvar, K., and Underwood, J. H., Astrophys. J. 148 , 269-273 (1967).

S VII. Allowed Transitions

No. Transition

Array

Multiplet x(A) Ei( cm J ) G(cm 9 gi gk Tfci(108 sec “9 U S(at.u.) log gf Accuracy

Source

1 2pe -2p5

( 2 P3°

/2 )35 1 S

3p°

[72.663] 0 1376220 1 3 150 0.036 0.0086 -1.44 E 1

2 2p6 — 2p5

( 2 P°/2 )3s

0 CO 1a, [72.029] 0 1388330 1 3 730 0.17 0.040 -0.77 D 1

3 2p6 -2p5

( 2 P3

°

/2 )3d

[61.547] 0 1624770 1 3 26 0.0045 9.1 x 10- 4 -2.35 E 1

4 2p6 -2p5

(2 P3°

/2 )3d 1 S -1P° [60.804] 0 1644630 1 3 8400 1.4 0.28 0.15 D 1

5 2p6 — 2p5

(2 P°/2 )3d >S — 3 D°

[60.161] 0 1662210 1 3 980 0.16 0.032 -0.80 D 1

S viii

Ground State U2252 2p5 2 P3/2

Ionization Potential 328.80 eV = 2652720 cm' 1 Allowed Transitions

The value for the 2s2 2p5 2 P° — 2s2p6 2 S multiplet is calculated from the nuclear charge-expansion

method of Cohen and Dalgarno [1], It may be quite uncertain since configuration interaction

effects with configurations involving the n = 3 shell electrons, which were not included in this

calculation, may be significant.

Reference

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

154
S VIII. Allowed Transitions

No. Transition

Array

Multiplet MA) Ei(cm~ ] ) Ek (cm ') gi gk

' ^

/lfci(10

8 sec

-1

)

'

fik 5(at.u.) 1 oggf Accuracy

Source

1 2s22p5 — 2s2pK 2 po_2S 199.91 3377 503590 6 2 480 0.096 0.38 -0.24 D 1

[198.57] 0 503590 4 2 320 0.096 0.25 -0.42 D Is [202.65] 10130 503590 2 2 160 0.097 0.13 -0.71 D Is

S viii

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

S VIII. Forbidden Transitions

No.

Transition

Array Multiplet MA) Ej ( cm ') £7 (cm ') gi gk

Type of

Transition /G,(sec-1

) S(at.u.)

Accuracy Source

1 2p5 — 2p5 2po 2p°

(IF) 9917.9 0 10130 4 2 m 18.6 1.33 A 1

Six

Ground State ls2 2s2 2p4 3 P2

Ionization Potential 378.95 eV = 3057300 cm -1

Forbidden Transitions

As in the case of Na IV the adopted values are taken from Naqvi [1], and Malville and Berger [2]. For a discussion on the selection of values see Na IV, since the same criteria have been applied.

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M. and Berger, R. A., Planetary and Space Science 13, 1131 (1965).

308-022 0-69—13

155
S IX. Forbidden Transitions

No.

Transition

Array Multiplet MA) Ei (cm ') Ek ( cm ') g> gk

Type of

Transition Aki (sec ') S ( at.u.)

Accuracy Source

1 2p4 — 2p4 3p _ 3p

[12544] 0 7970 5 3 e 3.83 X 10-5 0.0213 C- 1,2

[12544] 0 7970 5 3 m 11.3 2.48 B 1 [9404.8] 0 10630 5 1 e 2.2 X 10- 4 0.0096 C- 2

[37584] 7970 10630 3 1 m 1.01 1.99 B 1

2

3 p_iD

[1724.1] 0 [58000] 5 5 e 0.026 0.0012 D- 1,2

[1724.1] 0 [58000] 5 5 m 61 0.058 C 1 [1998.8] 7970 [58000] 3 5 e 0.0018 1.7X 10- 4 D- 1,2’

[1998.8] 7970 [58000] 3 5 m 13.2 0.0196 C 1 [2110.4] 10630 [58000] 1 5 e 7.6 x 10- 4 9.5 X 10-5 D- 2

3

3 p_is

[817.66] 0 [122300] 5 1 e 0.33 7.2 X 10- 5 D- 2 [874.66] 7970 [122300] 3 1 m 710 0.0176 C 2

4 'D-'S

[1555.2] [58000] T 122300] 5 1 e 6.9 0.0374 C- 2

Sx

Ground State ls22s2 2p3 4S3/2

Ionization Potential 447.0? eV = 3606000? cm" 1

Forbidden Transitions

The line strength for the one transition listed in the table is a straight number, tabulated for

example by Naqvi [1]. The transition probability should also be quite accurate, since the energy

level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

S X. Forbidden Transitions

No.

Transition

Array Multiplet mA) f/(cm ') ^(cm ') gi gk

Type of

Transition Aki (sec ') Sfat.u.)

Accuracy Source

1 2p3 — 2p3 2p° _ 2p°

[66650] [122230] [123730] 2 4 m 0.0303 1.33 A 1

156
Sxii

Ground State l52 2s2 2p 2 P?/2

Ionization Potential ? Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [ 1 ]. The transition probability is not as accurate, since the energy

level difference is not accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

S XII. Forbidden Transitions

No.

Transition

Array Multiplet mA) £i(cm ') Fa (cm 1 ) gi gk

Type of

Transition Aa; ( sec 1 ) S(at.u.)

Accuracy Source

1 2p-(«S)2p 2p° _ 2p°

(IF) 7536 0 [13266] 2 4 m 21.0 1.33 B 1

157
CHLORINE

Cl i

Ground State ls2 2s2 2p63s2 3p5 2 P°

/2

Ionization Potential 12.97 eV= 104591 cm' 1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

1188.77 3 4475.31 18 7878.22 6

1201.36 3 4491.05 15 7899.28 29

1335.72 2 4526.20 28 7915.09 29

1347.24 2 4545.38 17 7924.62 7 1351.66 2 4578.17 17 7935.00 30

1363.45 2 4580.47 9 7976.95 29

1373.12 1 4601.00 28 7980.58 5 1379.53 1 4623.96 15 7997.80 6

1389.69 1 4654.05 25 8084.48 16

1389.96 1 4661.22 22 8085.54 16

1396.53 1 4674.40 27 8086.67 16

4104.78 22 4677.76 26 8087.67 16

4147.20 22 4691.53 24 8194.35 5 4209.68 19 4721.24 25 8212.00 5

4226.44 21 4740.71 24 8333.29 5

8375.95 5 4264.59 19 4796.76 25 8428.25 5 4280.43 18 4818.42 23 8550.46 12 4323.35 21 4818.64 27 8575.25 5 4337.80 18 4852.70 24 8585.96 5 4363.30 19 4976.62 14

8686.28 13

4369.52 19 5099.80 14 8948.01 4

4371.55 18 5140.35 14 9073.15 11 4379.90 18 7256.63 8 9121.10 4

4387.55 21 7414.10 7 9191.67 4

4389.76 18 7537.06 8

9288.82 10

4390.38 20 7702.89 29 9393.81 4

4402.58 18 7717.57 7 9486.89 4

4403.03 17 7744.94 8 9584.77 4

4438.48 17 7769.18 29 9592.20 10

4445.83 18 7771.10 29

9632.37 11 4446.11 17 7821.35 29 9702.35 4

4469.37 28 7830.76 29 9875.95 10

Lawrence [1] has carried out intermediate coupling calculations for three multiplets in the

vacuum uv region involving the 45 state. These values are normalized via a lifetime measurement

of this state by him [1], in which he applied the phase shift technique. Hofmann [2] has measured

oscillator strengths for the same multiplets using a wall-stabilized arc; his values for the 2 P° — 2 P

and — 2 D multiplets are renormalized to Lawrence’s [1] lifetime and the results averaged with

Lawrence’s calculated values. For the 2 P° — 4 P intercombination multiplet, Hofmann's renormalized

values are used exclusively where available; for the other lines, Lawrence’s calculated values are taken.
In the visible region, emission experiments are available. Foster [4] and Hey [5] employed

vortex and wall-stabilized arcs, respectively, while Bengtson [3] used a conventional shock tube.

Usually there is good agreement where the three experiments overlap and in these cases the results

have been averaged. For the case of the 4s 4 P — 4p 4 D° multiplet, only the weaker lines measured

by Bengtson are chosen since the stronger lines of this multiplet seem to be affected by self- absorption. For several lines Foster [4] has made use of Kiess’ intensity data to obtain absolute

transition probabilities; the accuracy estimate has then been reduced.

The Coulomb approximation has been employed for several multiplets of the 4s-4p and 4p-4c/

arrays; it compares usually quite well with the measurements, when theory and experiment overlap.

References

[1J Lawrence, G. M., Astrophys. J. 148, 261-268 (1967).

[2] Hofmann, W., Z. Naturforsch. 22a, 2097-2101 (1967).

[3] Bengtson, R. D., Thesis Maryland (1968) and to be published.

[4] Foster, E. W., Proc. Phys. Soc. London A80, 882—893 (1962).

[5] Hey, P., Z. Physik 157, 79-88 (1959).

Cl I. Allowed Transitions

No. Transition

Array

Multiplet MA) filcnr1 ) Ek( cm-1 ) Si gk /Mio8 sec

-1

) U S(at.u.) log gf Accuracy

Source

1 3p5 — 3p4

(3P)4s to x

o 1 x

(1 uv)

1389.69 0 71954 4 6 0.0023 1.0 x 10-4 0.0018 -3.40 D 1 1396.53 881 72484 2 4 0.015 8.8 x 10-4 0.0081 -2.75 D 2n 1379.53 0 72484 4 4 0.11 0.0031 0.057 -1.91 D 2n 1389.96 881 72823 2 2 0.017 4.9 x 10-4 0.0045 -3.01 D 1 1373.12 0 72823 4 2 0.0029 4.1 x 10-5 7.4 x 10-4 -3.79 D In

2 2p° 2p 1348.8 294 74434 6 6 4.94 0.135 3.59 -0.092 C + 1, 2n

(2 uv)

1347.24 0 74221 4 4 4.19 0.114 2.02 -0.341 c + 1, In

1351.66 881 74861 2 2 3.23 0.088 0.79 -0.75 c + 1, 2 n 1335.72 0 74861 4 2 1.74 0.0233 0.409 -1.031 c 1 1363.45 881 74221 2 4 0.75 0.0418 0.375 -1.078 c + 1, 2n

3 3p

5 - X

O 1 to a 1193.0 294 84116 6 10 2.47 0.088 2.07 -0.277 c 1, In 3p4

( 1 D)45

> 1188.77 0 84116 4 6 2.33 0.074 1.16 -0.53 c 1, 2n 1201.36 881 84117 2 4 2.39 0.103 0.82 -0.69 c 1, 2n 1188.77 0 84117 4 4 0.271 0.0057 0.090 -1.64 c 1, 2n

4 3p44s — 4p 4p° 9270.5 72276 83060 12 12 0.23 0.30 no 0.56 D ca 3p4

( 3P)4p (1) 9121.10 71954 82915 6 6 0.17 0.22 39 0.12 D Is 9393.81 72484 83127 4 4 0.031 0.042 5.1 -0.78 E Is 9486.89 72823 83361 2 2 0.039 0.052 3.3 -0.98 E Is 8948.01 71954 83127 6 4 0.12 0.095 17 -0.24 D- Is 9191.67 72484 83361 4 2 0.21 0.13 16 -0.28 D- Is 9584.77 72484 82915 4 6 0.066 0.14 17 -0.26 D- Is 9702.35 72823 83127 2 4 0.091 0.26 16 -0.29 D- Is

5 4P_4[)0 8413.1 722 76 84159 12 20 0.27 0.48 160 0.76 D 3n. ca

(2) 8375.95 71954 83890 6 8 0.28 0.39 64 0.37 D Is 8585.96 72484 84128 4 6 0.19 0.31 35 0.09 D Is 8575.25 72823 84481 2 4 0.12 0.27 15 -0.27 D 3. Is 8212.00 71954 84128 6 6 0.079 0.080 13 -0.32 D 3. Is 8333.29 72484 84481 4 4 0.16 0.16 18 -0.19 D Is 8428.25 72823 84684 2 2 0.24 0.25 14 -0.30 D 3. Is 7980.58 71954 84481 6 4 0.016 0.010 1.6 -1.22 E Is 8194.35 72484 84684 4 2 0.050 0.025 2.7 -1.00 E 3. Is

159
Cl I. Allowed Transitions — Continued

No. Transition Multiplet mA) £i(cm'’) Ek(cm~ 1 ) g> gk ^-,(108 fik S(at.u.) log gf Accu- Source

Array sec

-1

) racy

6

4 P — 2 D°

(3) 7878.22 71954 84644 6 6 0.018 0.017 2.6 -0.99 D 3

7997.80 72484 84984 4 4 0.021 0.020 2.1 -1.10 D 3

7 4p 2p°

(4) 7414.10 71954 85438 6 4 0.047 0.026 3.8 -0.81 D 3

7717.57 72484 85438 4 4 0.030 0.027 2.7 -0.97 D 3

7924.62 72823 85438 2 4 0.021 0.040 2.1 -1.10 D 3

8

4 p_ 4S° 7430.1 72276 85731 12 4 0.38 0.11 31 0.12 D + 3. ca

(5) 7256.63 71954 85731 6 4 0.19 0.10 14 -0.22 D + 3. Is 7547.06 72484 85731 4 4 0.13 0.11 11 -0.36 D + 3. Is 7744.94 72823 85731 2 4 0.065 0.12 6.0 -0.62 D + 3, Is

9 3p44s — 4^ *0 1 to O 3p4

(

4 D)4p' 4580.47 72484 94310 4 4 0.0018 5.7 x 10-4 0.034 -2.65 D- 4

10 3p44s — 2 P — “D° 9662.9 74434 84780 6 10 0.25 0.58 110 0.54 D ca 3p4

( 3 P)4p (11)

9592.20 74221 84644 4 6 0.24 0.50 63 0.30 D Is 9875.95 74861 84984 2 4 0.19 0.56 37 0.05 D Is 9288.82 74221 84984 4 4 0.044 0.057 7.0 -0.64 E Is

11 2p_2§° 9251.6 74434 85240 6 2 0.27 0.11 21 -0.16 D ca

(12)

9073.15 74221 85240 4 2 0.19 0.12 14 -0.33 D Is 9632.37 74861 85240 2 2 0.083 0.12 7.3 -0.62 D Is

12 2p 2p°

(13)

8550.46 74221 85913 4 2 0.019 0.010 1.2 -1.40 D- 3

13 2 p_ 4 s°

(14)

8686.28 74221 85731 4 4 0.039 0.044 5.0 -0.75 D 3

14 3p44s — 2p 2p°

3p4(

1 D)4p' 4976.62 74221 94310 4 4 0.0035 0.0013 0.085 -2.28 D + 3. 4

5099.80 74861 94465 2 2 0.0085 0.0033 0.11 -2.18 D 4

5140.35 74861 94310 2 4 0.0025 0.0020 0.067 -2.40 D- 4

15 2p_2j)°

4623.96 74861 96482 2 4 0.0045 0.0029 0.088 -2.24 D + 3,4

4491.05 74221 96482 4 4 0.0048 0.0015 0.086 -2.22 D + 3, 4

16 O Q 1 Q

C4 8085.8 84116 96480 10 10 0.42 0.41 110 0.61 D 3, ca

8086.67 84116 96478 6 6 0.40 0.39 62 0.37 D Is 8085.54 84117 96482 4 4 0.38 0.38 40 0.18 D Is 8084.48 84116 96482 6 4 0.042 0.028 4.4 -0.77 E Is 8087.67 84117 96478 4 6 0.028 0.041 4.4 -0.79 E Is

17 3p44s — 4p 4p°

3p4( 3 P)5p (6) 4438.48 71954 94478 6 6 0.014 0.0041 0.36 -1.61 D 3, 4

4403.03 71954 94659 6 4 0.0074 0.0014 0.12 -2.08 D 3, 4

4446.11 72484 94969 4 2 0.0044 6.5 X 10-4 0.038 -2.58 D 4

4545.38 72484 94478 4 6 5.1 X 10-4

- 2.4 x 10-4 0.014 -3.02 D- 4

4578.17 72823 94659 2 4 0.0017 0.0011 0.032 -2.67 D 3. 4

160
Cl I. Allowed Transitions — Continued

No. Transition

Array

Multiplet X(A) £i(cm'') f/stcm'1 ) gi /M108 sec

-1

)

fik S(at.u.) log gf Accuracy

Source

18 4p_4£)° 4408.5 72276 94953 12 20 0.011 0.0052 0.91 -1.20 D + 3, 4, 5

(7) 4389.76 71954 94728 6 8 0.013 0.0050 0.43 -1.52 C- 3,4, 5 4475.31 72484 94823 4 6 0.0043 0.0019 0.11 -2.12 D + 3, 4

4445.83 72823 95309 2 4 0.0023 0.0014 0.040 -2.56 D 4

4371.55 71954 94823 6 6 0.0015 4.3 X 10-4 0.037 -2.59 D + 3, 4

4379.90 72484 95309 4 4 0.012 0.0035 0.20 -1.85 D + 3, 4

4402.58 72823 95531 2 2 0.0058 0.0017 0.049 -2.47 D + 3, 4

4280.43 71954 95309 6 4 0.0016 2.9 X 10-4 0.025 -2.76 D- 4

4337.80 72484 95531 4 2 0.0026 3.7 X 10-4 0.021 -2.83 D- 4

19 4 P — 2 D°

(8) 4363.30 72484 95396 4 6 0.0067 0.0029 0.16 -1.94 D + 3,4

4369.52 72823 95702 2 4 0.0070 0.0040 0.12 -2.10 D + 3,4

4264.59 71954 95396 6 6 0.0017 4.6 X 10-4 0.039 -2.56 D + 3, 4

4209.68 71954 95702 6 4 0.0041 7.3 x 10-4 0.060 -2.36 D + 3,4

20 4 P-2 S°

4390.38 72823 95593 2 2 0.0079 0.0023 0.066 -2.34 D + 3, 4

21 , 4 P- 4 S° 4284.8 72276 95608 12 4 0.021 0.0019 0.32 -1.64 D + 3,4

(9) 4226.44 71954 95608 6 4 0.0055 9.8 x 10-4 0.082 -2.23 D + 3,4

4323.35 72484 95608 4 4 0.011 0.0031 0.18 -1.91 D + 3,4

4387.55 72823 95608 2 4 0.0036 0.0021 0.060 -2.38 D + 3,4

22 4p 2p°

4104.78 71954 96309 6 4 0.0020 3.4 X 10-4 0.027 -2.69 D- 4

4147.20 72484 96590 4 2 0.0038 4.9 x 10-4 0.027 -2.71 D 4

23 2p 4p°

4818.42 74221 94969 4 2 0.0039 6.8 x 10-4 0.043 -2.57 D 4

24 2p_4J)°

4852.70 74221 94823 4 6 0.0023 0.0012 0.078 -2.32 D + 3,4

4740.71 74221 95309 4 4 0.0042 0.0014 0.088 -2.25 D 4- 3,4

4691.53 74221 95531 4 2 0.011 0.0018 0.11 -2.14 D + 3,4

25 2 P — 2 D° 4741.6 74434 95518 6 10 0.0038 0.0021 0.20 -1.90 D + 3,4

4721.24 74221 95396 4 6 0.0021 0.0011 0.065 -2.36 D + 3,4

4796.76 74861 95702 2 4 0.0019 0.0013 0.041 -2.58 D- 4

4654.05 74221 95702 4 4 0.0049 0.0016 0.098 -2.19 D + 3,4

26 2P_25°

4677.76 74221 95593 4 2 0.0054 8.9 x 10-4 0.055 -2.45 D + 3,4

27 2 P — 4 S°

4674.40 74221 95608 4 4 0.0020 6.6 x 10-4 0.040 -2.58 D + 3,4

4818.64 74861 95608 2 4 0.0019 0.0013 0.042 -2.58 D 4

28 2p _ 2p° 4550.6 74434 96403 6 6 0.054 0.017 1.5 -0.99 D + 3,4,5

(15)

4526.20 74221 96309 4 4 0.041 0.013 0.75 -1.28 C- 3, 4, 5 4601.00 74861 96590 2 2 0.039 0.012 0.37 -1.62 C- 3,4,5

4469.37 74221 96590 4 2 0.016 0.0024 0.14 -2.02 D 3,4

4661.22 74861 96309 2 4 0.010 0.0065 0.20 -1.89 D 3, 4

161
Cl' I. Allowed Transitions — Continued

No. Transition

Array

Multiplet \(A) £i(cm_1

) ^(cnr1

) gk /*A-i(10" sec

-1

)

fik S(at.u.) log gf Accuracy

Source

29 3p44p — 4 P° — 4 D 7852.7 83060 95791 12 20 0.10 0.15 48 0.26 D 3, ca 3p4

(3 P)4d

7821.35 82915 95696 6 8 0.095 0.12 18 -0.14 D 3, Is 7899.28 83127 95782 4 6 0.058 0.082 8.5 -0.48 D 3, Is 7976.95 83361 95893 2 4 0.041 0.078 4.1 -0.81 D- 3, Is 7769.18 82915 95782 6 6 0.045 0.040 6.2 -0.62 D 3, Is 7830.76 83127 95893 4 4 0.069 0.063 6.5 -0.60 D 3, Is 7915.09 83361 95991 2 2 0.061 0.058 3.0 -0.94 D- 3, Is 7702.89 82915 95893 6 4 0.0054 0.0032 0.49 -1.72 E 3, Is 7771.10 83127 95991 4 2 0.024 0.011 1.1 -1.36 E 3, Is

30

o 1 Cjh •t Q

7935.00 83890 96490 6 8 0.046 0.058 9.1 -0.46 D 3, ca, Is

Cl I Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

Cl I. Forbidden Transitions

Transition Type of AccuNo. Array Multiplet MA) Ed cm ') Ek (cm ') g> gk Transi- A ki ( sec ') S( at.u.) racy Source

tion

1 3p5 — 3p5 2p° 2p°

[11.328 x 104

] 0 882.50 4 2 m 0.0123 1.33 A 1

Ground State

Cl II ls2 2s2 2p63s2 3p4 3 P2 Ionization Potential 23.80 eV= 192000 cm- 1 Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

1063.83 1 1079.08 1 2498.53 57

1068.0 1 2427.79 55 2502.75 57

1071.05 1 2430.16 55 2543.98 56

1071.76 1 2434.10 55 2544.84 56

1075.2 1 2496.04 57 2545.5 56

162
List of tabulated lines — Continued

Wavelength [A] No. Wavelength [A] No. Wavelength f AJ No.

2546.94 56 3860.80 30 4544.48 11 2547.76 56 3860.98 30 4569.42 47

2549.85 56 3861.40 30 4572.13 47

2666.46 58 3861.95 45 4739.42 8

2667.36 58 3862.6 45 4740.40 14

2906.25 33 3864.60 45 4755.64 8

3022.93 32 3865.2 45 4765.30 8

3147.86 5 3868.62 45 4768.68 26

3161.44 6 3883.80 48 4771.09 26

3175.9 36 3904.0 37 4771.66 28

3176.3 36 3906.9 37 4778.93 26

3182.3 36 3913.92 37 4781.32 26

3182.7 36 3916.70 37 4781.82 8

3188.4 36 3917.57 37 4785.44 26

3189.04 36 3929.0 37 4794.54 17

3231.75 40 3929.7 37 4797.1 26

3306.45 31 3954.21 44 4798.40 8

3307.90 31 3990.19 41 4810.06 17 3308.7 31 3996.3 41 4811.57 52

3315.44 31 4001.9 41 4819.46 17

3316.86 31 4020.06 41 4819.79 8

3329.12 31 4026.7 41 4822.3 52

3505.44 35 4036.53 41 4827.0 52

3508.94 35 4124.00 49 4836.79 8

3509.39 35 4130.86 49 4857.04 52

3513.22 35 4131.4 49 4863.1 52

3513.69 35 4132.48 24 4879.0 52

3522.14 35 4133.66 49 4893.1 7 3526.13 35 4135.5 49 4896.77 20

3568.04 43 4147.09 49 4900.3 25

3576.00 43 4155.2 49 4904.76 20

3587.78 43 4185.61 27 4907.17 25

3596.9 43 4188.82 27 4914.32 20

3597.3 38 4191.59 27 4917.72 20

3601.4 38 4195.11 27 4922.14 20

3603.72 43 4204.54 27 4924.28 7 3604.51 43 4208.03 27 4924.83 25

3605.9 38 4215.0 54 4925.17 7 3606.6 38 4223.0 54 4933.2 20

3610.8 38 4224.92 54 4936.99 7

3615.09 38 4228.7 54 4943.24 10

3618.88 42 4234.09 46 4970.12 7 3639.19 42 4234.8 54 4995.52 7 3648.07 42 4235.49 51 5068.10 19

3781.23 39 4235.49 54 5078.25 19

3798.80 34 4241.38 46 5098.34 19

3805.24 34 4251.3 50 5099.30 19

3809.51 34 4253.51 46 5103.04 19

3810.10 34 4258.8 50 5104.08 19

3818.40 34 4261.22 50 5113.36 19

3829.27 4 4264.4 50 5175.85 13 3830.8 34 4270.61 50 5217.93 18

3843.26 12 4276.51 50 5221.34 18

3845.42 30 4291.76 21 5392.12 23

'

3845.69 30 4304.07 21 5423.25 2

3845.84 30 4307.42 21 5423.52 2 3850.97 30 4334.1 21 5424.36 2 3851.38 30 4336.26 21 5443.42 2 3851.69 30 4343.62 21 5444.25 2 3854.75 45 4399.14 29 5444.99 2 163
List of tabulated lines — Continued

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

5456.27 2 6759.42 15 8360.63 3

5457.02 2 6841.86 15 8364.0 3

5457.47 2 6850.21 15 8385.0 3

5568.81 53 6924.2 15 8385.7 3

5634.83 9 6932.4 15 8394.2 3

6094.65 22 6952.13 15

6399.41 16 8355.6 3

Lawrence [1] has accurately measured the lifetime of the first excited state with the delayedcoincidence method. Using LS-coupling, we have derived the /-values for all components of the resonance multiplet. Foster [3] and Hey [4] have measured some /-values with vortex and wallstabilized arcs respectively, while Bengtson [2] has performed emission intensity measurements

with a conventional shock tube. When their measurements and the Coulomb approximation overlap,

the individual deviations from the adopted averages are within 25 percent.

For numerous other transitions, including those involving shell-equivalent electrons, the

Coulomb approximation has been employed in order to have data available for some of the more

prominent lines in this spectrum. From the general success of this method and from comparisons

with analogous transitions in other ions, uncertainties of 50 percent are normally expected. Bengtson [2] has measured one multiplet involving shell-equivalent electrons for which the Coulomb

approximation was calculated (3p33c? 5 D° — 3p34p 5P) and the results are almost identical. However,

this close agreement could be accidental and the uncertainties should in general be somewhat

larger for transitions involving shell-equivalent electrons.

References

[1] Lawrence, G. M., private communication (1968) and to be published.

[2] Bengtson, R. D., Thesis Maryland (1968) and to be published.

[3] Foster, E. W., Proc. Phys. Soc. London A80, 882-893 (1962).

[4] Hey, P„ Z. Physik 157, 79-88 (1959).

Cl II. Allowed Transitions

No. Transition

Array

Multiplet mA) £;(cm ') Ek( cm *) gi gk ^/(108 sec

-1

) U S(at.u.) log gf Accuracy

Source

1 3s2 3p4 — 3s3p5 3p _ 3p° 1071.3 343 93685 9 9 1.12 0.0193 0.61 -0.76 C 1 (1 uv)

1071.05 0 93367 5 5 0.84 0.0144 0.254 -1.143 C Is 1071.76 697 93999 3 3 0.280 0.00482 0.051 -1.84 C Is 1063.83 0 93999 5 3 0.477 0.00485 0.085 -1.62 c Is

T 1068.01 697 94333 3 1 1.13 0.0064 0.068 -1.72 c Is 1079.08 697 93367 3 5 0.274 0.0080 0.085 -1.62 c Is [1075.2] 996 93999 1 3 0.369 0.0192 0.068 -1.72 c Is

2 3p33d — 5D° — 5 P 5438.3 110298 128686 25 15 0.25 0.065 29 0.21 D 2

3p3( 4 S°)4p (2) 5423.25 110296 128730 9 7 0.18 0.062 9.9 -0.26 D 2, Is 5443.42 110297 128663 7 5 0.15 0.047 6.0 -0.48 D 2, Is 5456.27 110300 128622 5 3 0.084 0.022 2.0 -0.95 D Is 5423.52 110297 128730 7 7 0.037 0.016 2.0 -0.95 D 2, Is 5444.25 110300 128663 5 5 0.095 0.047 4.2 -0.63 D 2, Is 5457.02 110302 128622 3 3 0.11 0.048 2.6 -0.84 D Is 5424.36 110300 128730 5 7 0.0056 0.0035 0.31 -1.76 E 2, Is 5444.99 110302 128663 3 5 0.024 0.020 1.1 -1.23 D- 2, Is 5457.47 110304 128622 1 3 0.048 0.064 1.2 -1.19 D- Is

164
Cl II. Allowed Transitions — Continued

No. Transition Multiplet MA) Ei(cm ') Ek( cm-1 ) gi gk /Mio* ftk S(at.u.) log gf Accu- Source

Array sec

-1

) racy

3

3 D°_3p 8368.2 119813 131763 15 9 0.13 0.082 34 0.09 E ca

(5) 8360.63 119810 131767 7 5 0.11 0.081 16 -0.25 E Is [8364.0] 119799 131755 5 3 0.096 0.060 8.3 -0.52 E Is [8385.0] 119842 131768 3 1 0.13 0.045 3.7 -0.87 E Is [8355.6] 119799 131767 5 5 0.019 0.020 2.8 -0.99 E Is [8394.2] 119842 131755 3 3 0.032 0.034 2.8 -0.99 E Is [8385.7] 119842 131767 3 5 0.0013 0.0022 0.19 -2.17 E Is

4 3p33d' — iD°-»F 3829.27 121499 147606 5 7 0.0095 0.0029 0.19 -1.83 E ca 3p3

( 2 D°)4p' (9)

5 ’D0 -^ 3147.86 121499 153257 5 5 0.14 0.021 1.1 -0.98 E ca

(10)

6 >F°— 3161.44 121635 153257 7 5 0.23 0.024 1.8 -0.77 E ca

(11)

7

3p° 3£) 4970.2 126276 146396 21 15 0.14 0.038 13 -0.10 E ca

(12)

4995.52 126457 146469 9 7 0.13 0.039 5.7 -0.46 E Is 4970.12 126219 146334 7 5 0.13 0.034 3.9 -0.62 E Is 4925.17 126032 146330 5 3 0.15 0.032 2.6 -0.80 E Is 4936.99 126219 146469 7 7 0.012 0.0042 0.48 -1.53 E Is 4924.28 126032 146334 5 5 0.016 0.0059 0.48 -1.53 E Is [4893.1] 126032 146469 5 7 3.3 X 10~4 1.7 x 10-4 0.014 -3.08 E Is

8 3p°_3jr 4792.9 126276 147140 21 21 0.056 0.019 6.4 -0.39 E ca

(13)

4819.79 126457 147198 9 9 0.051 0.018 2.6 -0.79 E Is 4781.82 126219 147126 7 7 0.047 0.016 1.8 -0.95 E Is 4755.64 126032 147054 5 5 0.050 0.017 1.3 -1.07 E Is 4836.79 126457 147126 9 7 0.0044 0.0012 0.17 -1.96 E Is 4798.40 126219 147054 7 5 0.0062 0.0015 0.17 -1.97 E Is 4765.30 126219 147198 7 9 0.0035 0.0015 0.17 -1.97 E Is 4739.42 126032 147126 5 7 0.0045 0.0021 0.16 -1.98 E Is

9 ip°_ip 5634.83 127727 145469 3 3 0.095 0.045 2.5 -0.87 E ca

(23)

10 3p33d" — ip°_ ip 4943.24 139350 159574 3 5 0.0028 0.0017 0.083 -2.29 E ca 3p3

( 2 P°)4p" (47)

11 ip°_ip 4544.48 139350 161348 3 3 0.082 0.025 1.1 -1.12 E ca

(48)

12 ip°_i S 3843.26 139350 165362 3 1 0.42 0.031 1.2 -1.03 E ca

(49)

13 *D°— 5175.85 140259 159574 5 5 0.039 0.016 1.3 -1.10 E ca

(50)

14 'D°— ’P 4740.40 140259 161348 5 3 0.24 0.048 3.7 -0.62 E ca

(51)

15 3p° 3 J) 6835.7 144139 158768 21 15 0.14 0.070 33 0.17 E ca

(54)

6759.42 143996 158786 9 7 0.13 0.069 14 -0.20 E Is 6850.21 144175 158769 7 5 0.12 0.062 9.7 -0.36 E Is 6952.13 144344 158724 5 3 0.13 0.058 6.7 -0.53 E Is 6841.86 144175 158786 7 7 0.011 0.0077 1.2 -1.27 E Is [6932.4] 144344 158769 5 5 0.015 0.011 1.2 -1.27 E Is [6924.2] 144344 158786 5 7 3.1 x 10-4 3.1 x 10-4 0.035 -2.81 E Is

16 3p° 3p

(58)

6399.41 146043 161635 5 5 0.040 0.024 2.6 -0.91 E ca. Is

165
Cl II. Allowed Transitions — Continued

No. Transition Multiplet mA) ^•(cm-1

) Ek( cm"1 ) Si Sk Aki( 108 fk S(at.u.) log gf Accu- Source

Array sec

-1

) racy

17 3p34s — 5 S°- 5 P 4806.1 107879 128686 5 15 1.14 1.19 94 0.77 C 2, 3,

3p3

( 4 S°)4p (1) 4794.54 107879 128730 5 7 1.18 0.57 44.9 0.455 C

4, ca

2, 3, 4, ca, Is 4810.06 107879 128663 5 5 1.13 0.392 31.0 0.292 C 2. 3, ca. Is 4819.46 107879 128622 5 3 1.11 0.232 18.4 0.064 C 2, 3, ca. Is

18 3g°_3p 5220.6 112608 131763 3 9 0.77 0.94 48.7 0.450 C 2,

, ca

(3) 5217.93 112608 131767 3 5 0.77 0.52 27.0 0.193 c Is 5221.34 112608 131755 3 3 0.77 0.315 16.2 -0.025 c Is 5217.93 112608 131768 3 1 0.77 0.11 5.4 -0.50 D Is

19 3p34s' — 3 D° — 3 D 5092.2 126758 146396 15 15 0.86 0.33 84 0.70 D ca 3p3

( 2 D°)4p' (16)

5078.25 126783 146469 7 7 0.77 0.30 35 0.32 D Is 5103.04 126743 146334 5 5 0.59 0.23 19 0.06 D Is 5099.30 126725 146330 3 3 0.64 0.25 13 -0.12 D Is 5113.36 126783 146334 7 5 0.13 0.037 4.4 -0.59 D- Is 5104.08 126743 146330 5 3 0.21 0.050 4.2 -0.60 D- Is 5068.10 126743 146469 5 7 0.097 0.052 4.4 -0.58 D- Is 5098.34 126725 146334 3 5 0.13 0.084 4.2 -0.60 D- Is

20 3 D° 3F 4906.3 126758 147140 15 21 0.90 0.45 no 0.83 D 2, ca

(17)

4896.77 126783 147198 7 9 0.88 0.41 46 0.46 D 2, ca.

Is 4904.76 126743 147126 5 7 0.81 0.41 33 0.31 D Is 4917.72 126725 147054 3 5 0.75 0.45 22 0.13 D Is 4914.32 126783 147126 7 7 0.10 0.036 4.1 -0.60 D- Is 4922.14 126743 147054 5 5 0.14 0.051 4.1 -0.59 D- Is [4933.2] 126783 147054 7 5 0.0041 0.0011 0.12 -2.11 E Is

21 3 D° 3 P 4326.0 126758 149874 15 9 1.0 0.17 36 0.41 D 2, ca

(19)

4343.62 126783 149798 7 5 0.84 0.17 17 0.08 D 2, ca.

Is 4307.42 126743 149952 5 3 0.76 0.13 9.0 -0.19 D- Is 4291.76 126725 150019 3 1 1.0 0.094 4.0 -0.55 D- Is 4336.26 126743 149798 5 5 0.15 0.042 3.0 -0.68 D- Is 4304.07 126725 149952 3 3 0.25 0.071 3.0 -0.67 D- Is [4334.1] 126725 149798 3 5 0.010 0.0047 0.20 -1.85 E Is

22 'D°- l P 6094.65 129065 145469 5 3 0.53 0.18 18 -0.05 D ca

(26)

23 'D°->F 5392.12 129065 147606 5 7 0.89 0.54 48 0.43 D 2, ca

(28)

24 'D°->D 4132.48 129065 153257 5 5 1.6 0.41 28 0.32 D ca

(29)

25 3p34s" — 3p°_3g 4917.4 137841 158177 9 3 0.97 0.11 17 0.02 D ca 3p3

(2 P°)4p" (39)

4924.83 137878 158177 5 3 0.52 0.11 9.2 -0.25 D Is 4907.17 137804 158177 3 3 0.32 0.11 5.5 -0.47 D Is [4900.3] 137770 158177 1 3 0.11 0.11 1.8 -0.94 D Is

26 3p°_3jy 4778.5 137841 158768 9 15 1.0 0.59 83 0.72 D ca

(40)

4781.32 137878 158786 5 7 1.0 0.49 39 0.39 D Is 4768.68 137804 158769 3 5 0.77 0.44 21 0.12 D Is 4771.09 137770 158724 1 3 0.57 0.58 9.2 -0.23 D- Is 4785.44 137878 158769 5 5 0.26 0.088 6.9 -0.36 D- Is 4778.93 137804 158724 3 3 0.43 0.15 6.9 -0.36 D- Is [4797.1] 137878 158724 5 3 0.028 0.0058 0.46 -1.54 E Is

166
Cl II. Allowed Transitions — Continued

No. Transition

Array

Multiplet X(A) s7 £/r ( cnr') gi gk ^(10“ sec

-1

)

fik S(at.u.) log gf Accuracy

Source

27 3p° 3p 4200.8 137841 161646 9 9 1.5 0.39 49 0.55 D ca

( 43 ) 4208.03 137878 161635 5 5 1.1 0.29 20 0.17 D Is 4191.59 137804 161655 3 3 0.37 0.098 4.1 -0.53 D- Is 4204.54 137878 161655 5 3 0.62 0.098 6.8 -0.31 D- Is 4188.82 137804 161671 3 1 1.5 0.13 5.4 -0.41 D- Is 4195.11 137804 161635 3 5 0.37 0.16 6.8 -0.31 D- Is 4185.61 137770 161655 1 3 0.50 0.39 5.4 -0.41 D- Is

28 -co 1 6 4771.66 138623 159574 3 5 1.0 0.59 28 0.25 D ca

(45)

29 *6o l -c 4399.14 138623 161348 3 3 1.3 0.38 17 0.06 D ca

(46)

30 3pHp — 5 P — 5 D° 3855.6 128686 154622 15 25 2.7 1.0 190 1.18 D ca 3p3

( 4 S°)4<7 (25)

3860.80 128730 154624 7 9 2.7 0.77 68 0.73 D Is 3850.97 128663 154623 5 7 1.8 0.56 35 0.45 D Is 3845.42 128622 154620 3 5 0.94 0.35 13 0.02 D Is 3860.98 128730 154623 7 7 0.89 0.20 18 0.14 D Is 3851.38 128663 154620 5 5 1.6 0.35 22 0.24 D Is 3845.69 128622 154618 3 3 2.0 0.45 17 0.13 D Is 3861.40 128730 154620 7 5 0.18 0.028 2.5 -0.70 D- Is 3851.69 128663 154618 5 3 0.67 0.090 5.7 -0.35 D- Is 3845.84 128622 154617 3 1 2.7 0.20 7.6 - 0.22 D- Is

31 3p_3J)° 3321 .2 131763 161873 9 15 1.4 0.40 39 0.55 D ca

(37)

3329.12 131767 161797 5 7 1.5 0.34 19 0.23 D Is 3315.44 131755 161908 3 5 1.1 0.29 9.6 -0.05 D Is 3307.90 131768 161990 1 3 0.78 0.38 4.2 -0.42 D- Is 3316.86 131767 161908 5 5 0.36 0.059 3.2 -0.53 D- Is 3306.45 131755 161990 3 3 0.58 0.095 3.1 -0.54 D- Is [3308.7] 131767 161990 5 3 0.039 0.0038 0.21 -1.72 E Is

32 3pHp' — 1 6o 3022.93 145469 178539 3 5 0.60 0.14 4.1 -0.38 D ca 3p3

( 2 D°)4c?' (57)

33 1 o 2906.25 145469 179867 3 3 0.86 0.11 3.1 -0.48 D ca

(14 uv)

34 3J) 3p° 3805.9 146396 172671 15 21 1.8 0.53 100 0.90 D ca

(62)

3805.24 146469 172741 7 9 1.8 0.51 44 0.55 D Is 3798.80 146334 172650 5 7 1.6 0.49 31 0.39 D Is 3809.51 146330 172573 3 5 1.5 0.55 21 0.22 D Is 3818.40 146469 172650 7 7 0.20 0.044 3.9 -0.51 D- Is 3810.10 146334 172573 5 5 0.28 0.062 3.9 -0.51 D- Is [3830.8] 146469 172573 7 5 0.0080 0.0013 0.11 -2.05 E Is

35 3 D — 3 D° 3517.0 146396 174829 15 15 1.6 0.29 51 0.64 D ca

(64)

3522.14 146469 174853 7 7 1.4 0.26 21 0.26 D Is 3509.39 146334 174821 5 5 1.1 0.20 12 0.00 D Is 3513.22 146330 174786 3 3 1.2 0.22 7.6 -0.18 D Is 3526.13 146469 174821 7 5 0.24 0.032 2.6 -0.64 D- Is 3513.69 146334 174786 5 3 0.39 0.044 2.5 -0.66 D- Is 3505.44 146334 174853 5 7 0.17 0.045 2.6 -0.65 D- Is 3508.94 146330 174821 3 5 0.24 0.072 2.5 -0.66 D- Is

36 3D — 3P° 3186.1 146396 177782 15 9 0.38 0.034 5.4 -0.29 D ca

(65)

3189.04 146469 177817 7 5 0.19 0.020 1.5 -0.85 D Is [3182.7] 146334 177754 5 3 0.39 0.035 1.8 -0.76 D Is [3188.4] 146330 177694 3 1 0.52 0.026 0.83 -1.10 D- Is [3176.3] 146334 177817 5 5 0.076 0.011 0.60 -1.24 D- Is [3182.3] 146330 177754 3 3 0.13 0.020 0.61 -1.23 D- Is [3175.9] 146330 177817 3 5 0.0051 0.0013 0.040 -2.42 E Is 167
Cl II. Allowed Transitions — Continued

No. Transition

Array

Multiplet mA) filcnr 1 ) ftlcm-1

) g> gk 4ki (W

sec

-1

)

fik Slat.u.) log gf Accuracy

Source

37 3p_3jr° 3916.8 147140 172671 21 21 0.88 0.20 55 0.63 D ca

(68)

3913.92 147198 172741 9 9 0.82 0.19 22 0.23 D Is 3916.70 147126 172650 7 7 0.74 0.17 15 0.07 D Is 3917.57 147054 172573 5 5 0.78 0.18 12 -0.05 D Is [3929.0] 147198 172650 9 7 0.70 0.13 1.5 -0.95 E Is [3929.7] 147126 172573 7 5 0.097 0.016 1.5 -0.95 E Is [3904.0] 147126 172741 7 9 0.055 0.016 1.4 -0.95 E Is [3906.9] 147054 172650 5 7 0.070 0.022 1.4 -0.95 E Is

38 3JT s jy° 3611.5 147140 174829 21 15 0.17 0.024 6.1 -0.29 D ca

(70)

3615.09 147198 174853 9 7 0.16 0.025 2.6 -0.66 D Is [3610.8] 147126 174821 7 5 0.16 0.022 1.8 -0.82 D Is [3605.9] 147054 174786 5 3 0.18 0.021 1.2 -0.99 D Is [3606.6] 147126 174853 7 7 0.014 0.0027 0.23 -1.72 E Is [3601.4] 147054 174821 5 5 0.020 0.0038 0.23 -1.72 E Is [3597.3] 147054 174853 5 7 4.0 x 10-4 1.1 X 10-4 0.0064 -3.27 E Is

39 1 O 3781.23 147606 174045 7 7 0.87 0.19 16 0.12 D ca

(72)

40 1 6o 3231.75 147606 178539 7 5 0.12 0.014 1.0 -1.02 D ca

(73)

41 3p_3J)° 4007.2 149874 174829 9 15 0.82 0.33 39 0.47 D ca

(76)

3990.19 149798 174853 5 7 0.84 0.28 18 0.15 D Is 4020.06 149952 174821 3 5 0.62 0.25 10 -0.12 D Is 4036.53 150019 174786 1 3 0.46 0.34 4.5 -0.47 D- Is [3996.3] 149798 174821 5 5 0.21 0.050 3.3 -0.60 D- Is [4026.7] 149952 174786 3 3 0.35 0.084 3.3 -0.60 D- Is [4001.9] 149798 174786 5 3 0.023 0.0033 0.22 -1.78 E Is

42 3p_3§° 3629.9 149874 177423 9 3 2.1 0.14 15 0.10 D ca

(77)

3618.88 149798 177423 5 3 1.2 0.14 8.5 -0.15 D Is 3639.19 149952 177423 3 3 0.72 0.14 5.2 -0.37 D Is 3648.07 150019 177423 1 3 0.24 0.14 1.7 -0.84 D Is

43 3p 3p° 3583.2 149874 177782 9 9 1.6 0.30 32 0.43 D ca

(78)

3568.04 149798 177817 5 5 1.2 0.22 13 0.05 D Is [3596.9] 149952 17.7754 3 3 0.39 0.076 2.7 -0.64 D- Is 3576.00 149798 177754 5 3 0.66 0.075 4.4 -0.42 D- Is 3603.72 149952 177694 3 l 1.6 0.10 3.7 -0.51 D- Is 3587.78 149952 177817 3 5 0.39 0.13 4.5 -0.42 D- Is 3604.51 150019 177754 1 3 0.52 0.31 3.6 -0.51 D- Is

44 'D-'D° 3954.21 153257 178539 5 5 1.1 0.26 17 0.11 D ca

(82)

45 3p34p"

3[)_3po 3864.6 158768 184644 15 21 2.7 0.84 160 1.10 D ca 3p3

( 2P°)4c?" (84)

3868.62 158786 184628 7 9 2.7 0.77 68 0.73 D Is 3861.95 158769 184655 5 7 2.4 0.74 47 0.57 D Is 3854.75 158724 184658 3 5 2.2 0.83 32 0.40 D Is 3864.60 158786 184655 7 7 0.30 0.066 5.9 -0.33 D- Is [3862.6] 158769 184658 5 5 0.41 0.092 5.9 -0.33 D- Is [3865.2] 158786 184658 7 5 0.012 0.0019 0.17 -1.88 E Is

46 3p34p — 5 P-5S° 4246.8 128686 152233 15 5 1.8 0.16 34 0.39 D ca 3p3

( 4 S°)5s (24)

4253.51 128730 152233 7 5 0.84 0.16 16 0.06 D Is 4241.38 128663 152233 5 5 0.60 0.16 11 -0.09 D Is 4234.09 128622 152233 3 5 0.36 0.16 6.8 -0.31 D Is

168
CllJ- Allowed Transitions — Continued

No. Transition Multiplet X(A) ^(cm' 1 ) £f(cm-') &k ^•(lO8 Jik S(at.u.) log gf Accu- Source

Array sec

-1

) racy

47 3p_3§° 4571.5 131 763 153633 9 3 1.6 0.17 23 0.18 D ca

(35)

4572.13 131767 153633 5 3 0.92 0.17 13 -0.06 D Is 4569.42 131755 153633 3 3 0.55 0.17 7.8 -0.29 D Is 4572.13 131768 153633 1 3 0.18 0.17 2.6 -0.76 D Is

48 3p34p' — • p_iD° 3883.80 145469 171209 3 5 0.33 0.13 4.8 -0.42 D ca 3p3

( 2 D°)5s' (55)

49 3 D — 3 D° 4140.1 146396 170550 15 15 0.59 0.15 31 0.36 D ca

(60)

4147.09 146469 170576 7 7 0.53 0.14 13 -0.02 D Is 4130.86 146334 170535 5 5 0.41 0.11 7.2 -0.28 D Is 4133.66 146330 170515 3 3 0.45 0.11 4.7 -0.47 D Is [4155.2] 146469 170535 7 5 0.092 0.017 1.6 -0.92 D- Is [4135.5] 146334 170515 5 3 0.15 0.023 1.6 -0.94 D- Is 4124.00 146334 170576 5 7 0.066 0.023 1.6 -0.93 D- Is [4131.4] 146330 170535 3 5 0.089 0.038 1.5 -0.94 D- Is

50 3p _ 3f)° 4271.7 147140 170550 21 15 0.83 0.16 48 0.53 D ca

(66)

4276.51 147198 170576 9 7 0.76 0.16 21 0.16 D Is 4270.61 147126 170535 7 5 0.74 0.14 14 0.00 D Is 4261.22 147054 170515 5 3 0.83 0.14 9.5 -0.17 D Is [4264.4] 147126 170576 7 7 0.066 0.018 1.8 -0.90 D- Is [4258.8] 147054 170535 5 5 0.092 0.025 1.8 -0.90 D- Is [4251.3] 147054 170576 5 7 0.0019 7.1 x 10-4 0.050 -2.45 E Is

51 1 6o 4235.49 147606 171209 7 5 0.80 0.15 15 0.03 D ca

(71)

52 3p_3J)° 4836.5 149874 170550 9 15 0.33 0.20 28 0.25 D ca

(74)

4811.57 149798 170576 5 7 0.34 0.17 13 -0.08 D Is 4857.04 149952 170535 3 5 0.25 0.15 7.2 -0.35 D Is [4879.0] 150019 170515 1 3 0.19 0.20 3.2 -0.70 D- Is [4822.3] 149798 170535 5 5 0.085 0.030 2.4 -0.83 D- Is [4863.1] 149952 170515 3 3 0.14 0.050 2.4 -0.82 D- Is [4827.0] 149798 170515 5 3 0.0095 0.0020 0.16 -2.00 E Is

53 'D — ’D0 5568.81 153257 171209 5 5 0.50 0.23 21 0.07 D ca

(80)

54 3p34p"- 3p_3p° 4229.6 158768 182411 15 9 0.98 0.16 33 0.37 D ca 3p3

( 2 P°)5s" (83)

4224.92 158786 182449 7 5 0.82 0.16 15 0.04 D Is 4235.49 158769 182372 5 3 0.74 0.12 8.3 -0.23 D Is [4234.8] 158724 182338 3 1 0.99 0.088 3.7 -0.58 D- Is [4223.0] 158769 182449 5 5 0.15 0.039 2.7 -0.71 D- Is [4228.7] 158724 182372 3 3 0.25 0.066 2.8 -0.70 D- Is [4215.0] 158724 182449 3 5 0.0098 0.0043 0.18 -1.88 E Is

55 3p34p — 5 P — 5 D°

3p3

( 4 S°)5d (11 uv)

2434.10 128730 169800 7 9 0.72 0.082 4.6 -0.24 D- ca , Is 2430.16 128663 169800 5 7 0.48 0.059 2.4 -0.53 D- ca. Is 2427.79 128622 169800 3 5 0.25 0.037 0.89 -0.95 D- ca. Is 2434.10 128730 169800 7 7 0.24 0.021 1.2 -0.83 D- ca. Is 2430.16 128663 169800 5 5 0.42 0.037 1.5 -0.73 D- ca. Is

56 3p_3J)° 2548.6 131763 171000 9 15 0.78 0.13 9.5 0.05 D- ca

(13 uv)

2549.85 131767 170974 5 7 0.76 0.10 4.4 -0.28 D- Is 2546.94 131755 171006 3 5 0.58 0.094 2.4 -0.55 D- Is 2544.84 131768 171052 1 3 0.43 0.13 1.1 -0.90 D- Is 2547.76 131767 171006 5 5 0.19 0.019 0.79 -1.03 E Is 2543.98 131755 171052 3 3 0.33 0.032 0.79 -1.02 E Is [2545.5] | 131767 171052 5 3 0.022 0.0013 0.053 -2.20 E Is

169
Cl II. Allowed Transitions —Continued

No. Transition Multiplet MA) ZMcm-1

) ft(cnr') gi gk /CK10* fik S(at.u.) log gf Accu- Source

Array sec

-1

) racy

57 3p34p — 5p_5S

° 2500.8 128686 168674 15 5 0.67 0.021 2.6 -0.50 D ca 3p3

( 4S°)6s (10 uv)

2502.75 128730 168674 7 5 0.31 0.021 1.2 -0.83 D Is 2498.53 128663 168674 5 5 0.22 0.021 0.86 -0.98 D Is 2496.04 128622 168674 3 5 0.13 0.021 0.51 -1.20 D Is

58 3 P _3g° 2667.0 131763 169247 9 3 0.61 0.022 1.7 -0.71 D ca

(12 uv)

2667.36 131767 169247 5 3 0.34 0.022 0.97 -0.96 D Is 2666.46 131755 169247 3 3 0.21 0.022 0.58 -1.18 D Is 2667.36 131768 169247 1 3 0.069 0.022 0.19 -1.66 D Is

Cl ii Forbidden Transitions

The adopted values have been derived from Naqvi [1], and Czyzak and Krueger [2]. Since

their methods are essentially alike, Naqvi’s and Czyzak and Krueger’s magnetic dipole transitions have normally been averaged, except for the 3 P— : S transition where configuration interaction is important. In this case Czyzak and Krueger’s empirically derived value has been preferred over Naqvi’s, which is based purely on theory (see also General Introduction).

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Czyak, S. J. & Krueger, T. K., Monthly Notices Roy. Astron. Soc. 126, 177-194 (1963).

Cl II . Forbidden Transitions

TranNo. sition Multiplet mA) Ei( cm-1

) Ek( cm-1

) g> gk Type of Aki (sec *) S(at. u.) Aceu- Source

Array Transition racy

1 3p4 — 3p4 3p 3p

[14.34 x 104

] 0 697 5 3 e 6.0 X 10-8 6.5 C 2 [14.34 x 104

] 0 697 5 3 m 0.00762 2.50 A 1 [10.04 x 104

] 0 996 5 1 e 4:78 X lO -7 2.90 C 2

[33.44 x 104

] 697 996 3 1 m 0.00144 2.00 A 1

2

3 P — >D

(IF)

8579.5 0 11652 5 5 e 5.5 X lO-4 0.076 D 2 8579.5 0 11652 5 5 m 0.103 0.0121 C 1. 2 9125.8 697 11652 3 5 e 5.8 x lO-5 0.011 D 2 9125.8 697 11652 3 5 m 0.0293 0.00413 C 1, 2 [9381. 996 11652 1 5 e 1.2 x lO -5 0.0026 D 2

3

3 P-'S

(2F)

3583.2 0 [27900] 5 1 e 0.018 0.0063 D 2

3675.0 697 [27900] 3 1 m 1.34 0.00247 C 2

4 'D->S

(3F)

6152.9 11652 [27900] 5 1 e 2.29 12.0 C 2

170
Cl III

Ground State ls22s22p63s23p3 <SS/2

Ionization Potential 39.90 eV = 321936 cm-'

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

1005.28 1 2439.9 29 2991.82 15 1008.78 1 2442.47 26 3104.46 10

1015.02 1 2447.14 26 3139.34 10

1798.0 2 2448.58 26 3191.45 10

1808.51 2 2468.5 17 3244.44 12

1810.3 2 2469.20 17 3259.32 12 1817.73 2 2471.07 18 3283.41 9

1822.50 2 2477.4 17 3289.80 9

1824.6 2 2481.8 17 3300.9 9

1828.40 2 2484.27 17 3320.57 12

1832.08 2 2485.1 17 3329.06 9

1833.31 2 2486.91 27 3336.16 12 1897.8 3 2504.23 17 3340.42 9

1898.9 3 2510.92 17 3386.22 14

1901.61 3 2519.45 17 3387.60 9

1912.90 3 2531.76 23 3392.89 14

1914.1 3 2532.48 23 3393.45 14

1916.5 3 2533.9 27 3400.2 14 1917.87 3 2540.9 23 3530.03 13

1920.3 3 2542.7 17 3553.3 13

2231.2 25 2562.5 27 3560.68 13 2253.07 25 2577.13 20 3602.10 8

2255.7 25 2580.67 20 3612.85 8

2268.95 25 2601.16 16 3622.69 8

2278.34 25 2603.59 16 3656.95 8

2283.93 25 2609.50 16 3670.28 8

2291.38 25 2616.97 16 3682.05 8

2291.8 25 2618.78 16 3683.39 6

2291.8 21 2620.05 24 3688.0 5 2298.51 21 2624.71 24 3705.45 8

2340.64 21 2632.67 24 3707.34 5 2347.7 21 2633.18 16 3720.45 11 2359.67 28 2639.1 20 3725.7 6

2359.9 28 2648.8 16 3741.7 8

2370.37 28 2651.19 16 3748.81 11

2372.7 18 2661.65 19 3759.0 6

2379.47 26 2662.3 19 3824.47 5 2379.8 18 2663.2 19 3850.8 11 2387.3 18 2665.54 19 3991.50 4

2394.73 18 2669.6 19 4018.50 4

2403.32 26 2670.5 19 4059.07 4

2409.4 18 2675.7 16 4087.2 4

2416.42 26 2682.5 22 4104.23 4

2419.5 18 2691.4 19 4106.83 4

2422.47 26 2691.52 22 4124.1 4

2434.8 18 2699.6 19 4591.1 7 2435.8 29 2710.37 22 4604.5 7 2436.

1

29 2965.56 15 4608.21 7 2439.69 29 2970.67 15

308-022 0- 69—14

171
Varsavsky [1] has calculated a value for one multiplet of this ion using the screening-approximation method; this number should be quite uncertain (probably too high, as judged from comparisons in other ions), since the possibly important effects of configuration interaction have been

neglected entirely. For numerous other transitions, including those involving shell-equivalent

electrons, the Coulomb approximation has been employed in order to have data available for some

of the more prominent fines in this spectrum. From the general success of this method and from

comparisons with analogous transitions in other ions, uncertainties of 50 percent are normally

expected; however, the uncertainties should be somewhat larger for those transitions involving

shell-equivalent electrons.

Reference

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).

Cl III. Allowed Transitions

No. Transition

Array

Multiplet mA) Ej( cm *) Ek{ cm ') g> gk /4fc,(10

8 sec ') fik S(at.u.) log gf Accuracy

Source

1 3s23p3 — 3s3p4 4 S°- 4 P 1011.3 0 98883 4 12 26 1.2 16 0.68 E 1

(1 uv)

1015.02 0 98520 4 6 25 0.58 7.8 0.37 E Is 1008.78 0 99130 4 4 26 0.39 5.2 0.19 E Is 1005.28 0 99475 4 2 26 0.20 2.6 -0.10 E Is

2 3p23d— O

Uh 1 't Q 1825.7 147077 201850 28 20 1.8 0.065 11 0.26 E ca 3p2

( 3 P)4p (7 uv)

1822.50 147498 202368 10 8 1.7 0.067 4.0 -0.18 E Is 1828.40 147073 201765 8 6 1.5 0.057 2.7 -0.34 E Is 1832.08 146750 201332 6 4 1.5 0.050 1.8 -0.53 E Is 1833.31 146526 201073 4 2 1.8 0.046 1.1 -0.73 E Is 1808.51 147073 202368 8 8 0.19 0.0094 0.45 -1.12 E Is 1817.73 146750 201765 6 6 0.32 0.016 0.58 -1.02 E Is [1824.6] 146526 201332 4 4 0.37 0.018 0.44 -1.13 E Is [1798.0] 146750 202368 6 8 0.0096 6.2 X 10- 4 0.022 -2.43 E Is [1810.3] 146526 201765 4 6 0.018 0.0013 0.031 -2.28 E Is

3 4J)_4p° 1908.1 151907 204316 20 12 1.7 0.054 6.8 0.03 E ca

(8 uv)

1901.61 151954 204541 8 6 1.3 0.054 2.7 -0.36 E Is 1912.90 151849 204124 6 4 1.0 0.038 1.4 -0.64 E Is 1917.87 151880 204022 4 2 0.83 0.023 0.58 -1.04 E Is [1897.8] 151849 204541 6 6 0.30 0.016 0.61 -1.01 E Is [1914.1] 151880 204124 4 4 0.53 0.029 0.73 -0.93 E Is [1920.3] 151946 204022 2 2 0.83 0.046 0.58 -1.04 E Is [1898.9] 151880 204541 4 6 0.033 0.0027 0.068 -1.97 E Is [1916.5] 151946 204124 2 4 0.083 0.0091 0.11 -1.74 E Is

4 4p 4p° 4045.8 179599 204316 12 12 0.19 0.048 7.6 -0.24 E ca

(7) 3991.50 179495 204541 6 6 0.14 0.033 2.6 -0.70 E Is [4087.2] 179664 204124 4 4 0.025 0.0063 0.34 -1.60 E Is [4124.1] 179781 204022 2 2 0.031 0.0078 0.21 -1.81 E Is 4059.07 179495 204124 6 4 0.086 0.014 1.1 -1.07 E Is 4104.23 179664 204022 4 2 0.16 0.020 1.1 -1.11 E Is 4018.50 179664 204541 4 6 0.059 0.021 1.1 -1.07 E Is 4106.83 179781 204124 2 4 0.078 0.039 1.1 -1.11 E Is

5 2J) _ 2p° 3776.4 182656 209136 10 6 0.75 0.097 12 -0.02 E ca

(9) 3824.47 183043 209183 6 4 0.64 0.093 7.0 -0.25 E Is 3707.34 182076 209042 4 2 0.75 0.077 3.8 -0.51 E Is [3688.0] 182076 209183 4 4 0.076 0.015 0.75 -1.21 E Is

6 3p23d' — 2£) _ 2po 3712.1 195083 222022 10 6 0.34 0.043 5.2 -0.37 E ca 3p2 ('D)4p' (12)

3683.39 194960 222101 6 4 0.31 0.043 3.1 -0.59 E Is [3759.0] 195268 221863 4 2 0.33 0.035 1.7 -0.86 E Is [3725.7] 195268 222101 4 4 0.034 0.0071 0.35 -1.55 E Is 172
Cl III. Allowed Transitions — Continued

No. Transition

Array

Multiplet x(A) £i(cm^') ftfcni- 1 ) gi gk /t/n(10K sec

-1

) fik S(at.u.) log gf Accuracy

Source

7 2p_2J)° 4602.6 196148 217875 14 10 0.33 0.075 16 0.02 E ca

(13)

4608.21 196156 217850 8 6 0.31 0.074 9.0 -0.22 E Is [4591.1] 196138 217913 6 4 0.33 0.070 6.3 -0.38 E Is [4604.5] 196138 217850 6 6 0.016 0.0050 0.45 -1.53 E Is

8 3p24s — 4p_-i[)0 3629.0 1 74294 201850 12 20 1.7 0.56 80 0.83 D ca 3p2

(3 P)4p (1)

3602.10 174614 202368 6 8 1.7 0.45 32 0.43 D Is 3612.85 174094 201765 4 6 1.2 0.35 17 0.14 D Is 3622.69 173736 201332 2 4 0.70 0.27 6.6 -0.26 D Is 3682.05 174614 201765 6 6 0.48 0.098 7.2 -0.23 D Is 3670.28 174094 201332 4 4 0.86 0.17 8.4 -0.16 D Is 3656.95 173736 201073 2 2 1.4 0.27 6.5 -0.26 D Is [3741.7] 174614 201332 6 4 0.077 0.011 0.79 -1.19 E Is 3705.45 174094 201073 4 2 0.26 0.027 1.3 -0.97 E Is

9 4 p 4 p° 3330.9 174294 204316 12 12 2.2 0.36 48 0.64 D ca

(2)

3340.42 174614 204541 6 6 1.5 0.25 17 0.18 D Is 3329.06 174094 204124 4 4 0.29 0.048 2.1 -0.72 E Is [3300.9] 173736 204022 2 2 0.37 0.060 1.3 -0.92 E Is 3387.60 174614 204124 6 4 0.93 0.11 7.2 -0.19 D Is 3340.42 174094 204022 4 2 1.8 0.15 6.6 -0.22 D Is 3283.41 174094 204541 4 6 0.68 0.16 7.1 -0.18 D Is 3289.80 173736 204124 2 4 0.93 0.30 6.6 -0.22 D Is

10 4 P _4S

° 3160.1 174294 205939 12 4 2.6 0.13 16 0.19 D ca

(3)

3191.45 174614 205939 6 4 1.2 0.13 7.9 -0.12 D Is 3139.34 174094 205939 4 4 0.86 0.13 5.2 -0.30 D Is 3104.46 173736 205939 2 4 0.44 0.13 2.6 -0.59 D Is

11

o Q 1 CM a. 3739.4 1 78841 205583 6 10 1.6 0.57 42 0.53 D ca

(5)

3720.45 179076 205947 4 6 1.7 0.52 25 0.32 D Is 3748.81 178370 205037 2 4 1.3 0.57 14 0.05 D Is [3850.8] 179076 205037 4 4 0.25 0.055 2.8 -0.65 D- Is

12 2p 2po 3300.9 178841 209136 6 6 2.3 0.38 25 0.36 D ca

(6)

3320.57 179076 209183 4 4 1.9 0.32 14 0.11 D Is 3259.32 178370 209042 2 2 1.6 0.26 5.5 -0.29 D Is 3336.16 179076 209042 4 2 0.76 0.064 2.8 -0.59 D Is 3244.44 178370 209183 2 4 0.41 0.13 2.8 -0.59 D Is

13 3p24s ' — o

Uh 1 CM Q 3543.8 188413 216631 10 14 2.3 0.60 70 0.78 D ca 3p2 (‘D)4p (10)

3530.03 188390 216710 6 8 1.8 0.46 32 0.44 D Is 3560.68 188448 216525 4 6 1.7 0.48 22 0.28 D Is [3553.3] 188390 216525 6 6 0.12 0.023 16 -0.87 D Is

14 2 D — 2 D° 3394.2 188413 217875 10 10 2.0 0.35 39 0.54 D ca

(11)

3393.45 188390 217850 6 6 1.9 0.33 22 0.30 D Is 3392.89 188448 217913 4 4 1.9 0.32 14 0.11 D Is 3386.22 188390 217913 6 4 0.21 0.024 1.6 -0.84 D- Is [3400.2] 188448 217850 4 6 0.14 0.036 1.6 -0.85 D- Is

15 hi 0 1hi TJ O 2975.4 188413 222022 10 6 3.1 0.25 24 0.39 D ca

(lluv)

2965.56 188390 222101 6 4 2.7 0.24 14 0.16 D Is 2991.82 188448 221863 4 2 3.0 0.20 7.9 -0.10 D Is 2970.67 188448 222101 4 4 0.30 0.040 1.6 -0.79 D- Is

173
Cl III. Allowed Transitions — Continued

No. Transition

Array

Multiplet mA) Ei{ cm ') Ek( cm l ) gi gk ^A.;(10

8 sec ') fik S(at.u.) log gf Accuracy

Source

16 3p24p - 4 D° — 4F 2614.7 201850 240096 20 28 6.5 0.93 160 1.27 D ca 3p2

(

:! P)4<7 (12uv)

2616.97 202368 240568 8 10 6.6 0.85 58 0.83 D Is 2609.50 201765 240075 6 8 5.7 0.77 40 0.67 D Is 2603.59 201332 239730 4 6 5.0 0.76 26 0.48 D Is 2601.16 201073 239506 2 4 4.6 0.94 16 0.28 D Is 2651.19 202368 240075 8 8 0.92 0.097 6.7 -0.11 D- Is 2633.18 201765 239730 6 6 1.6 0.16 8.6 -0.01 D- Is 2618.78 201332 239506 4 4 1.8 0.19 6.5 -0.12 D- Is [2675.7] 202368 239730 8 6 0.060 0.0048 0.34 -1.41 E Is [2648.8] 201765 239506 6 4 0.13 0.0088 0.46 -1.28 E Is

17 1 ’t Q

O Q

Tf 2503.5 201850 241 794 20 20 1.8 0.17 28 0.53 D ca

(13uv)

2519.45 202368 242046 8 8 1.5 0.15 10 0.07 D Is 2504.23 201765 241685 6 6 1.0 0.098 4.8 -0.23 D Is 2484.27 201332 241572 4 4 0.73 0.068 2.2 -0.47 D Is 2469.20 201073 241559 2 2 0.93 0.085 1.4 -0.77 D- Is [2542.7] 202368 241685 8 6 0.33 0.024 1.6 -0.71 D- Is 2510.92 201765 241572 6 4 0.63 0.040 2.0 -0.62 D- Is [2485.1] 201332 241559 4 2 0.91 0.042 1.4 -0.77 D- Is [2481.8] 201765 242046 6 8 0.26 0.032 1.6 -0.71 D- Is [2477.4] 201332 241685 4 6 0.43 0.059 1.9 -0.63 D- Is [2468.5] 201073 241572 2 4 0.46 0.085 1.4 -0.77 D- Is

18 4 D° — 4 P 2431.7 201850 242973 20 12 0.21 0.011 1.8 -0.65 D ca

(14uv)

2471.07 202368 242823 8 6 0.16 0.011 0.74 -1.04 D Is 2419.5 201765 243081 6 4 0.13 0.0079 0.38 -1.32 D Is [2387.3] 201332 243207 4 2 0.11 0.0047 0.15 -1.73 D- Is [2434.8] 201765 242823 6 6 0.038 0.0034 0.16 -1.69 D- Is 2394.73 201332 243081 4 4 0.070 0.0060 0.19 -1.62 D- Is [2372.7] 201073 243207 2 2 0.11 0.0094 0.15 -1.73 D- Is [2409.4] 201332 242823 4 6 0.0043 5.6 x 10- 4 0.018 -2.65 E Is [2379.8] 201073 243081 2 4 0.011 0.0019 0.029 -2.43 E Is

19 4 P° — 4 D 2668.2 204316 241794 12 20 4.8 0.85 90 1.01 D ca

(16uv)

2665.54 204541 242046 6 8 4.8 0.68 36 0.61 D Is 2661.65 204124 241685 4 6 3.4 0.54 19 0.33 D Is [2662.3] 204022 241572 2 4 2.0 0.43 7.5 -0.07 D- Is [2691.4] 204541 241685 6 6 1.4 0.15 8.2 -0.04 D- Is [2669.6] 204124 241572 4 4 2.6 0.27 9.6 0.04 D- Is [2663.2] 204022 241559 2 2 4.0 0.43 7.5 -0.07 D- Is [2699.6] 204541 241572 6 4 0.23 0.017 0.91 -0.99 E Is [2670.5] 204124 241559 4 2 0.80 0.043 1.5 -0.77 E Is

20 2 D° - 2 F 2581.6 205583 244318 10 14 4.6 0.65 55 0.81 D ca

(18uv)

2580.67 205947 244685 6 8 4.7 0.63 32 0.58 D Is 2577.13 205037 243828 4 6 4.3 0.65 22 0.41 D Is [2639.1] 205947 243828 6 6 0.29 0.031 1.6 -0.73 E Is

21 2 D°— 2 D 2324.3 205583 248606 10 10 4.5 0.37 28 0.57 D ca

(19 uv)

2340.64 205947 248658 6 6 4.2 0.35 16 0.32 D Is 2298.51 205037 248528 4 4 4.2 0.33 10 0.12 D Is [2347.7] 205947 248528 6 4 0.47 0.026 1.2 -0.81 D Is [2291.8] 205037 248658 4 6 0.34 0.040 1.2 -0.80 D Is

22 4 S°- 4 P 2700.2 205939 242973 4 12 3.5 1.2 41 0.66 D ca

(20 uv)

2710.37 205939 242823 4 6 3.5 0.57 20 0.36 D Is 2691.52 205939 243081 4 4 3.5 0.38 14 0.18 D Is

1 [2682.5] 205939 243207 4 2 3.5 0.19 6.8 -0.12 D- Is

174
Cl III. Allowed Transitions — Continued

No. Transition

Array

Multiplet mA) Ei(cm *) Ek( cm ') gi gk /4/o(10

K sec ') fik S(at.u.) log gf Accuracy

Source

23 2p

o _2D 2533.6 209136 248606 6 10 5.4 0.86 43 0.71 D ca

(22 uv)

2532.48 209183 248658 4 6 5.3 0.77 26 0.49 D Is 2531.76 209042 248528 2 4 4.4 0.85 14 0.23 D Is [2540.9] 209183 248528 4 4 0.88 0.085 2.9 -0.47 E Is

24- 3p24p' — 1 Q

o

Uh 2629.9 216631 254655 14 10 0.43 0.032 3.9 -0.35 D ca 3p2 (>D)4(i' (23 uv)

2632.67 216710 254683 8 6 0.41 0.032 2.2 -0.59 D Is 2624.71 216525 254613 6 4 0.44 0.030 1.6 -0.74 D Is 2620.05 216525 254683 6 6 0.021 0.0022 0.11 -1.89 E Is

25 3p24p — 4 D°— 4 P 2281 .0 201850 245691 20 12 3.4 0.16 24 0.50 D ca 3p2

( 3 P)5s (15 uv)

2283.93 202368 246137 8 6 2.7 0.16 9.6 0.11 D Is 2291.38 201765 245392 6 4 2.2 0.12 5.2 -0.16 D Is [2291.8] 201332 244952 4 2 1.8 0.070 2.1 -0.55 D- Is 2253.07 201765 246137 6 6 0.61 0.046 2.1 -0.56 D- Is 2268.95 201332 245392 4 4 1.1 0.086 2.6 -0.46 D- Is 2278.34 201073 244952 2 2 1.8 0.14 2.1 -0.56 D- Is [2231.2] 201332 246137 4 6 0.067 0.0075 0.22 -1.52 E Is [2255.7] 201073 245392 2 4 0.17 0.027 0.39 -1.28 E Is

26 4p° 4p 2416.9 204316 245691 12 12 2.0 0.18 17 0.33 D ca

(17 uv)

2403.32 204541 246137 6 6 1.4 0.12 5.9 -0.13 D Is 2422.47 2,04124 245392 4 4 0.28 0.025 0.79 -1.01 E Is 2442.47 204022 244952 2 2 0.35 0.032 0.51 -1.20 E Is 2447.14 204541 245392 6 4 0.94 0.056 2.7 -0.47 D- Is 2448.58 204124 244952 4 2 1.8 0.080 2.6 -0.50 D- Is 2379.47 204124 246137 4 6 0.62 0.078 2.5 -0.50 D- Is 2416.42 204022 245392 2 4 0.88 0.15 2.4 -0.51 D- Is

27 4 S°- 4 P 2515.6 205939 245691 4 12 0.69 0.20 6.5 -0.11 D ca

(21 uv)

2486.91 205939 246137 4 6 0.68 0.095 3.1 -0.42 D Is [2533.9] 205939 245392 4 4 0.69 0.067 2.2 -0.57 D Is [2562.5] 205939 244952 4 2 0.70 0.034 1.2 -0.86 D Is.

28 3p24p' — 1 Q

O -M 2366.5 216631 258888 14 10 2.9 0.17 19 0.39 D ca 3p2 ('D)5s' (24 uv)

2370.37 216710 258886 8 6 2.8 0.18 11 0.16 D Is 2359.67 216525 258891 6 4 3.0 0.17 7.7 0.00 D Is [2359.9] 216525 258886 6 6 0.14 0.012 0.55 -1.15 E Is

29 2 D°— 2 D 2438.3 217875 258888 10 10 2.1 0.19 15 0.27 D ca

(26 uv)|

2436.1 217850 258886 6 6 2.0 0.18 8.5 0.02 D Is 2439.69 217913 258891 4 4 1.9 0.17 5.5 -0.17 D Is [2435.8] 217850 258891 6 4 0.21 0.013 0.60 -1.12 E Is [2439.9] 217913 258886 4 6 0.14 0.019 0.61 -1.12 E Is

175
Cl hi

Forbidden Transitions

All the values for this ion are taken from Czyzak and Krueger [1], since they have included the

important effects of configuration interaction and have used self-consistent field wavefunctions

with exchange to obtain their value of sq

. (For a more complete discussion see General Introduction.)

Reference

[1] Czyzak, S. J. and Krueger, T. K., Monthly Notices Roy. Astron. Soc. 126, 177—194 (1963).

Cl III. Forbidden Transitions

No.

Transition

Array Multiplet MA) £i(cm ') Fa-

(

cm ’) gi gk

Type of

Transition

/I M (sec ') S(at.u.)

Accuracy Source

1 3p3 — 3p3 4 S° — 2 D°

(IF)

5517.66 0.0 18118.6 4 6 m 1.46 X 10-4 5.5 X 10-6 C 1 5517.66 0.0 18118.6 4 6 e 8.6 X lO"4 0.016 D 1 5537.6 0.0 18053 4 4 m 0.0065 1.64 X lO"4 C 1 5537.6 0.0 18053 4 4 e 5.5 X 10-4 0.0068 D 1

2 4g°_2p°

(2F)

3342.7 0.0 29907 4 4 m 0.96 0.0053 C 1 3342.7 0.0 29907 4 4 e 4.9 X 10-6 4.8 X 10-6 D 1 3353.4 0.0 29812 4 2 m 0.374 0.0065 C 1 3353.4 0.0 29812 4 2 e 4.0 X 10-5 2.0 x 10-5 D 1

3

> D°_2D

° [15.24 X 105

] 18053 18118.6 4 6 m 3.05 x 10-6 2.40 B 1 [15.24 X 105

] 18053 18118.6 4 6 e 4.9 X 10- 15 0.14 D 1

4

o 1 2-, o Q

cu (3F)

8481.6 18118.6 29907 6 4 m 0.169 0.0153 C 1 8481.6 18118.6 29907 6 4 e 0.195 20.4 c 1 8501.8 18053 29812 4 2 m 0.186 0.0085 c 1 8501.8 18053 29812 4 2 e 0.165 8.7 c 1 8550.5 18118.6 29812 6 2 e 0.108 5.9 c 1 8433.7 18053 29907 4 4 m 0.306 0.0272 c 1 8433.7 18053 29907 4 4 e 0.084 8.6 c 1

5 2p° 2p°

[10.5 X 105

] 29812 29907 2 4 m 7.7 X 10-6 1.33 c + 1 [10.5 X 105

] 29812 29907 2 4 e 1.9 X 10- 14 0.058 D 1

176
Cl IV

Ground State ls22s22p63$23p2 :! Po

Ionization Potential 53.5 eV = 431226 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [Aj No. Wavelength [A] No. Wavelength [Aj No.

973.22 1 1534.4 4 2751.2 3

977.56 1 1539.3 4 2770.7 3

977.89 1 1600.0 5 2782.4 3

984.95 1 1617.4 5 2835.4 3

985.25 1 1625.5 5 3063.1 2

986.09 1 1632.3 5 3071.4 2 1500.4 4 1638.8 5 3076.7 2 1510.6 4 1650.3 5 3106.0 2 1528.7 4 2701.3 3 3167.9 2 1532.2 4 2724.0 3 3213.8 2

Varsavsky [1] has calculated a value for one multiplet of this ion using the screening-approximation method; this number should be quite uncertain (probably too high, as judged from comparisons in other ions), since the possibly important effects of configuration interaction have been

neglected entirely. For several other transitions the Coulomb approximation has been employed

in order to have some data on the more prominent lines in this spectrum. From the general success

of this method and from comparisons with analogous transitions in other ions, uncertainties of 50

percent are expected; however these estimates should be regarded as provisional.

Reference

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6. No. 53, 75 (1961).

Cl IV. Allowed Transitions

No, Transition

Array

Multiplet mA) Fifcm-1

) isA-lcm- 1 ) gi {*k /*A-i(10« sec

-1

)

fix S(at.u.) log g/' 1 Accuracy

Source

1 3s2 3p2 -3s3p3 3p_3£)° 981.27 909 102818 9 15 23 0.55 16 0.69 E 1

[984.95] 1341 102869 5 7 23 0.46 7.5 0.36 E Is [977.56] 491 102787 3 5 17 0.41 4.0 0.09 E Is [973.22] 0 102752 1 3 13 0.56 1.8 -0.25 E Is [985.25] 1341 102787 5 5 5.5 0.080 1.3 -0.40 E Is [977.89] 491 102752 3 3 9.4 0.13 1.3 -0.41 E Is [986.09] 1341 102752 5 3 0.63 0.0055 0.089 -1.56 E Is

2 3p4s — 3p(2 P°)4p 3po _3J) 3082.2 215948 248372 9 15 2.3 0.54 49 0.69 D ca

[3076.7] 216468 248961 5 7 2.3 0.45 23 0.35 D Is [3063.1] 215389 248026 3 5 1.7 0.40 12 0.08 D Is [3071.4] 215026 247575 1 3 1.3 0.53 5.4 -0.28 D- Is [3167.9] 216468 248026 5 5 0.52 0.079 4.1 -0.40 D- Is [3106.0] 215389 247575 3 3 0.92 0.13 4.1 -0.41 D- Is [3213.8] 216468 247575 5 3 0.055 0.0051 0.27 -1.59 E Is

177
Cl IV. Allowed Transitions — Continued

No. Transition

Array

Multiplet \(A) Ei( cm-1

) ^(cnr1

) g> gk /Gi(10* sec

-1

)

fix Sfat.u.) log.gf Accuracy

Source

3 3p° 3p 2767.6 215948 252070 9 9 3.1 0.36 29 0.51 D ca

[2782.4] 216468 252397 5 5 2.3 0.26 12 0.11 D Is [2751.2] 215389 251726 3 3 0.78 0.088 2.4 -0.58 D Is [2835.4] 216468 251726 5 3 1.2 0.086 4.0 -0.37 D Is [2770.7] 215389 251471 3 1 3.0 0.12 3.2 -0.44 D Is [2701.3] 215389 252397 3 5 0.82 0.15 4.0 -0.35 D Is [2724.0] 215026 251726 1 3 1.1 0.36 3.2 -0.44 D Is

4 3p4p — 3J) _ 3p° 1531.9 248372 313649 15 9 7.5 0.16 12 0.38 D ca

3p(2 P°)5s

[1532.2] 248961 314225 7 5 6.3 0.16 5.6 0.05 D Is [1539.3] 248026 312991 5 3 5.6 0.12 3.0 -0.22 D Is [1534.4] 247575 312747 3 1 7.3 0.086 1.3 -0.59 D- Is [1510.6] 248026 314225 5 5 1.2 0.040 1.0 -0.70 D- Is [1528.7] 247575 312991 3 3 1.9 0.066 1.0 -0.70 D- Is [1500.4] 247575 314225 3 5 0.080 0.0045 0.067 -1.87 E Is

5 3p 3p° 1623.9 252070 313649 9 9 4.6 0.18 8.8 0.21 D ca

[1617.4] 252397 314225 5 5 3.5 0.14 3.7 -0.15 D Is [1632.3] 251726 312991 3 3 1.1 0.045 0.73 -0.87 D- Is [1650.3] 252397 312991 5 3 1.8 0.044 1.2 -0.66 D Is [1638.8] 251726 312747 3 1 4.5 0.061 0.98 -0.74 D- Is [1600.0] 251726 314225 3 5 1.2 0.076 1.2 -0.64 D Is [1625.5] 251471 312991 1 3 1.5 0.18 0.98 -0.74 D- Is

Cl iv

Forbidden Transitions

The adopted values have been derived from Naqvi [1], and Czyzak and Krueger [2]. Since their

methods are essentially alike, Naqvi’s and Czyzak and Krueger’s magnetic dipole transitions have

been averaged, except for the 3 P — ! S transition where configuration interaction is important. In

this case Czyzak and Krueger’s empirically derived value has been preferred over Naqvi’s, which

is based purely on theory (see also General Introduction).

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Czyzak, S. J., and Krueger, T. K., Monthly Notices Roy. Astron. Soc. 126, 177-194 (1963).

Cl IV. Forbidden Transitions

No.

Transition

Array Multiplet mA) Ej (cm ') Fa-

(

cm ') gi gk

Type of

Transition

lki( sec ') S( at.u.)

Accuracy Source

1 3p2 — 3p2 3p 3p

[20.36 x 104

] 0 491 1 3 m 0.00213 2.00 B 1. 2 [74551] 0 1341 1 5 e 2.77 X lO"7 19.0 C 2

[11.76 X 104

] 491 1341 3 5 m 0.00825 2.49 B 1, 2 [11.76 X 104

] 491 1341 3 5 e 6.3 x lO-8 4.25 C 2

2

3 P — >D

(IF)

[7262.3] 0 13766 1 5 e 2.2 x lO-5 0.0013 D 2

7530.54 491 13766 3 5 m 0.080 0.0063 C 1. 2 7530.54 491 13766 3 5 e 1.5 X lO-4 0.11 D 2 8045.63 1341 13766 5 5 m 0.196 0.0189 C 1, 2 8045.63 1341 13766 5 5 e 7.7 x lO -4 0.077 D 2

178
Cl IV. Forbidden Transitions — Continued

Transition

mA)

Type of AccuNo. Array Multiplet Ej (cm 1 ) Ek (cm ') gi gk Transi- Aki ( sec ') S(at.u.) racy Source

tion

3

:i P-'S

(2F)

3118.3 491 32550 3 1 m 2.61 0.00293 C 2 3203.3 1341 32550 5 1 e 0.038 0.0077 D 2

4 'D-'S

(3F)

5323.29 13766 32550 5 1 e 3.2 8.0 D 2

Cl v

Ground State ls2 2s2 2p6

3.s

2 3p 2 P°/2

Ionization Potential 67.80 eV = 547000 cm-1

Allowed Transitions

The screening-approximation calculations of Varsavsky [1] for the 3s23p 2 P° — 3s3p2 2 D multiplet are considered to be rather uncertain (probably too high, as judged from comparisons in other ions)

since the important effects of configuration mixing are neglected entirely. Gruzdev and Prokofev

[2] have carried out Coulomb approximation calculations modified with the Seaton correction for

the 3p

2 P° — 45 2 S multiplet; these results should be reliable to within 25 percent, as judged from

plots depicting /-value dependence on nuclear charge.

References

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).

[2] Gruzdev, P. F., and Prokofev, V. K., Optics and Spectroscopy (U.S.S.R.) 21 , 151-152 (1966).

Cl V. Allowed Transitions

No. Transition

Array

Multiplet A(A) Ei( cm-1

) F/flcm- 1 ) gi gk Aki( 10® sec

-1

)

fik S(at.u.) loggf Accuracy

Source

1 3s2 3p — 3s3p2 T3

O 1 a 890.61 995 113277 6 10 26 0.52 9.2 0.49 E 1

[894.34] 1492 113306 4 6 26 0.47 5.5 0.27 E Is [883.13] 0 113234 2 4 23 0.53 3.1 0.03 E Is [894.92] 1492 113234 4 4 4.3 0.052 0.61 -0.68 E Is

2 3p — ('S)4s 2 P°

2 s 391.67 995 256313 6 2 119 0.091 0.70 -0.263 C 2

[392.43] 1492 256313 4 2 79 0.091 0.470 -0.439 c Is [390.15] 0 256313 2 2 40.0 0.091 0.234 -0.74 c Is

179
Civ

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).Civ. Forbidden Transitions

No.

Transition

Array Multiplet MA) £i(cm ') Ek (cm ') gi gk

Type of

Transition

.4 a;

(

sec ') S(at.u.)

Accuracy Source

1 3p-('S)3p 2p° 2p°

[67000] 0 1492 2 4 m 0.0298 1.33 A 1

Ground State

Cl VI

ls2 2s2 2p63s2 ’So

Ionization Potential 96.7 eV= 780000 cm-’

Allowed Transitions

List of tabulated lines:

Wavelength [A) No. Wavelength [A] No. Wavelength [A] No.

323.36 8 571.38 6 756.26 4

324.99 8 571.41 7 756.34 4

325.16 8 573.46 6 756.50 4

550.36 5 576.43 6 757.82 4

552.00 5 577.44 6 757.91 4

552.04 5 580.44 6 763.84 3

555.48 5 671.37 1 768.47 3

555.57 5 724.13 2 768.55 3

555.62 5 727.54 2 773.79 3

565.48 7 730.29 2 773.88 3

566.64 7 730.48 2 774.05 3

567.52 7 733.89 2 570.02 7 736.75 2

570.52 7 755.47 4

570.89 6 755.63 4

The charge-expansion technique of Crossley and Dalgarno [1], which includes limited configuration mixing, has been employed for the majority of the transitions in this spectrum; while

Gruzdev and Prokofev [2] have carried out Coulomb approximation calculations modified with the

Seaton correction for the 3s3p 3 P° — 3s4s 3S multiplet. For many of these transitions, the dependence

of oscillator strength on nuclear charge has served as an aid in estimating accuracies.

References

180

[1] Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soe. London A2 86, 510 (1965).

[2] Gruzdev, P. F., and Prokofev, V. K., Optics and Spectroscopy (U.S.S.R.) 21, 151-152 (1966).
Cl VI. Allowed Transitions

No. Transition

Array

Multiplet A(A) E,( cm ') Ek( cm" 1 ) A Aki(10* sec

-1

) fik S(at.u.) l<>£ k/ Accuracy

Source

1 3s2 — 3s(2 S)3p 0 1Oh CO [671.37] 0 148949 1 3 63.2 1.28 2.83 0.107 B 1

2 3s3p — 3p

2 3p° 3p 730.42 [99286] [236193] 9 9 54 0.434 9.4 0.59 C + 1

[730.29] [99865] [236797] 5 5 40.8 0.326 3.92 0.212 c + Is [730.48] [98700] [235596] 3 3 13.5 0.108 0.78 -0.489 c Is [736.75] [99865] [235596] 5 3 22.1 0.108 1.31 -0.268 c Is [733.89] [98700] [234960] 3 1 53 0.143 1.04 -0.368 c Is [724.13] [98700] [236797] 3 5 14.0 0.183 1.31 -0.260 c Is [727.54] [98147] [235596] 1 3 18.2 0.434 1.04 -0.363 c Is

3 3s(2 S)3d— CO a I CO o 771.04 [279870] [409565] 15 9 28 0.15 5.6 0.35 D 1 3p(2 P°)3d

[774.05] [279888] [409079] 7 5 23 0.15 2.6 0.02 D Is [768.55] [279860] [409975] 5 3 21 0.11 1.4 -0.26 D Is [763.84] [279845] [410762] 3 1 28 0.082 0.62 -0.61 D Is [773.88] [279860] [409079] 5 5 4.1 0.037 0.47 -0.73 D Is [768.47] [279845] [409975] 3 3 7.0 0.062 0.47 -0.73 D Is [773.79] [279845] [409079] 3 5 0.27 0.0041 0.031 -1.91 E Is

4

3 D — 3 D° 756.30 [279870] [412092] 15 15 27 0.23 8.6 0.54 D 1

[755.63] [279888] [412228] 7 7 24 0.21 3.6 0.17 D Is [756.34] [279860] [412075 5 5 19 0.16 2.0 -0.10 D Is [757.82] [279845] [411802 3 3 20 0.17 1.3 -0.29 D Is [756.50] [279888] [412075] 7 5 4.2 0.026 0.45 -0.74 D- Is [757.91] [279860] [411802 5 3 6.7 0.034 0.43 -0.77 D- Is [755.47] [279860] [412228 5 7 3.0 0.036 0.45 -0.74 D- Is [756.26] [279845] [412075] 3 5 4.1 0.058 0.43 -0.76 D- Is

5 3s3p — 3s(2 S)3(/ 3p°_3J) 553.76 [99286] [279870] 9 15 81.9 0.628 10.3 0.752 B 1

[555.48] [99865] [279888] 5 7 81.2 0.526 4.81 0.420 B Is [552.00] [98700] [279860] 3 5 61.9 0.471 2.57 0.150 B Is [550.36] [98147] [279845] 1 3 46.2 0.629 1.14 -0.201 B Is [555.57] [99865] [279860] 5 5 20.3 0.0938 0.858 -0.329 B Is [552.04] [98700] [279845] 3 3 34.4 0.157 0.858 -0.327 B Is [555.62] [99865] [279845] 5 3 2.3 0.0063 0.057 -1.51 D Is

6 3p2 -3p(2 P°)3f/ 3 p 3 p° 576.79 [236193] [409565] 9 9 65 0.32 5.5 0.46 D 1

[580.44] [236797] [409079] 5 5 48 0.24 2.3 0.08 D Is [573.46] [235596] [409975] 3 3 16 0.081 0.46 -0.61 D- Is [577.44] [236797] [409975] 5 3 27 0.080 0.76 -0.40 D- Is [570.89] [235596] [410762] 3 1 66 0.11 0.61 -0.48 D- Is [576.43] [235596] [409079] 3 5 16 0.13 0.76 -0.41 D- Is [571.38] [234960] [409975] 1 3 22 0.32 0.61 -0.49 D- Is

7 3 p 3 J)° 568.51 [236193] [412092] 9 15 110 0.89 15 0.90 D 1

[570.02] [236797] [412228] 5 7 110 0.75 7.0 0.57 D Is [566.64] [235596] [412075] 3 5 85 0.68 3.8 0.31 D Is [565.48] [234960] [411802] 1 3 63 0.91 1.7 -0.04 D- Is [570.52] [236797] [412075] 5 5 28 0.14 1.3 -0.15 D- Is [567.52] [235596] [411802] 3 3 48 0.23 1.3 -0.16 D- Is [571.41] [236797] [411802] 5 3 3.0 0.0088 0.083 -1.36 E Is

8 3s3p — 3s(2 S)4s 3p°_3§ 324.55 [99286] [407404] 9 3 171 0.090 0.87 -0.092 C 2

[325.16] [99865] [407404] 5 3 95 0.090 0.482 -0.347 C Is [324.99] [99700] [407404] 3 3 57 0.090 0.289 -0.57 C Is [323.36] [98147] [407404] 1 3 19.1 0.090 0.096 -1.046 c Is

181
Cl VI

Forbidden Transitions

Naqvi’s calculations [1] are the only available source. The results for the 3 P° —3 P° transitions

are essentially independent of the choice of the interaction parameters. For the 3 P° — 1 P transitions,

Naqvi uses empirical term intervals, i.e., the effects of configuration interaction should be partially

included.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

Cl VI. Forbidden Transitions

No.

Transition

Array Multiplet MA) b(cra ') Ek { cm ') gi gk

Type of

Transition Akd sec ') S(at.u.)

Accuracy Source

1 3s3p —

3s(2 S)3p 3 p° 3 p°

[18.08 x 104

] [98147] [98700] 1 3 m 0.00304 2.00 c + 1 [85810] [98700] [99865] 3 5 m 0.0213 2.50 c + 1

2 3p° 1 p°

[1968.4] [98147] 148949 1 3 m 0.62 5.3 X 10-4 c- 1 [1990.1] [98700] 148949 3 3 m 27.8 0.0244 c- 1 [2036.7] [99865] 148949 5 3 m 0.70 6.6 x IQ-4 c- 1

Cl VII

Ground State ls2 2s2 2p63s 2 Si/2

Ionization Potential 114.27 eV = 921902 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

196.12 2 598.21 3 2178.8 9

196.39 2 604.79 3 2212.0 9

207.75 8 605.05 3

240.85 7 722.13 11 293.25 4 725.73 11

294.89 4 800.70 1 340.27 6 813.00 1 455.13 5 1668.2 10

455.28 5 1686.4 10

456.56 5 1687.6 10

182
Two sources of data are available for this ion: the calculations of Stewart and Rotenberg [1],

employing a scaled Thomas-Fermi potential, and the charge-expansion formulation of Crossley

and Dalgarno [2], which includes limited configuration mixing. Graphical comparisons of both

works with more refined values within the isoelectronic sequence indicate accuracies within

25 percent. A number of additional values have been obtained from studies of the /-value depend- ence on nuclear charge. The reliable material available for other ions of this isoelectronic sequence

in these cases permits the determination of reliable values simply by graphical interpolation.

References

[1) Stewart, J. C., and Rotenberg, M., Phys. Rev. 140, 1508A-1519A (1965).

[2] Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soc. London A286, 510-518 (1965).

Civil. Allowed Transitions

No. Transition

Array

Multiplet x(A) Ej( cm"1 ) £V(cm-1

) /U108 sec

-1

)

file S(at.u.) log gf Accuracy

Source

1 3s—3p 2 S - 2 P° 804.76 0 124261 2 6 21.5 0.63 3.32 0.100 C 1

[800.70] 0 124891 2 4 21.7 0.418 2.20 -0.078 C Is [813.00] 0 123001 2 2 21.1 0.209 1.12 -0.379 C Is

2 3s —4/> 2 S- 2 P° 196.21 0 509656 2 6 59 0.102 0.132 -0.69 c 1

[196.12] 0 509885 2 4 59 0.068 0.088 -0.87 c Is [196.39] 0 509197 2 2 59 0.0340 0.0440 -1.167 c Is

3 3p— 3d 2 P°- 2 D 602.59 124261 290210 6 10 61 0.55 6.6 0.52 c 2

[604.79] 124891 290239 4 6 61 0.498 3.97 0.299 c Is [598.21] 123001 290166 2 4 52 0.56 2.21 0.049 c Is [605.05] 124891 290166 4 4 10 0.055 0.44 -0.66 D Is

4 3/j —4s 2 p°_ 2S 294.34 124261 464003 6 2 230 0.10 0.58 -0.22 c interp

[294.89] 124891. 464003 4 2 150 0.10 0.39 -0.40 c Is [293.25] 123001 464003 2 2 76 0.098 0.19 -0.71 c Is

5 3d — 4p

2[) _2p° 455.69 290210 509656 10 6 70 0.13 2.0 0.11 c interp

[455.28] 290239 509885 6 4 64 0.13 1.2 -0.11 c Is [456.56] 290166 509197 4 2 71 0.11 0.67 -0.36 c Is [455.13] 290166 509885 4 4 7.0 0.022 0.13 -1.06 D Is

6 3d — 4/ 2 D — 2 F° 340.27 290210 584093 10 14 380 0.92 10 0.96 c+ interp

7 3d -5/ O Q 1 [Jh 240.85 290210 705404 10 14 140 0.17 1.3 0.23 c interp

8 3d -6/ 1 Cjh O Q 207.75 290210 771549 10 14 68 0.062 0.42 -0.21 c interp

9 4s — 4p

2 S —2 P° 2189.8 464003 509656 2 6 4.1 0.89 13 0.25 c interp

[2178.8] 464003 509885 2 4 4.3 0.61 8.7 0.09 c Is [2212.0] 464003 509197 2 2 4.0 0.30 4.3 -0.22 c Is

10 4p — 4d 1 Q

o

Cu 1680.4 509656 569166 6 10 14 0.98 33 0.77 c interp

[1686.4] 509885 569182 4 6 14 0.90 20 0.56 c Is [1668.2] 509197 569142 2 4 12 1.0 11 0.30 c Is [1687.6] 509885 569142 4 4 2.3 0.099 2.2 -0.40 D Is

11 4p — 5s 2 P° — 2 S 724.53 509656 647677 6 2 65 0.17 2.4 0.01 C interp

[725.73] 509885 646677 4 2 42 0.17 1.6 -0.17 c Is [722.13] 509197 647677 2 2 22 0.17 0.80 - 0.47 c Is

183
Cl viii

Ground State ls2 2s2p

6 4 So

Ionization Potential 348.3 eV= 2810000 cm-1

Allowed Transitions

Calculations by Kastner, Omidvar, and Underwood [1], employing Hartree-Fock wavefunctions

and including intermediate coupling, are available. Since the calculations are based on a singleconfiguration approximation only, uncertainties of up to 50 percent are expected for the strong

lines and even higher uncertainties for the weak lines, the latter being more affected by assumptions

about the coupling.

Reference

[1] Kastner, S. O., Omidvar, K., and Underwood, J. H., Astrophys. J. 148 , 269-273 (1967).

Cl VIII. Allowed Transitions

No. Transition

Array

Multiplet MA) Eifcm'1

) Ek( cm-1

) gi gk Tfc,(108 sec

-1

) fik Sfat.u.) log gf Accuracy

Source

1 2p

6 -

2p5 (-P3

0

/2 )3s

i S2 P°

[59.191] 0 1689450 1 3 280 0.044 0.0086 -1.36 E 1

2 2p

6 -

2p5

( 2 P?/2 )3s

1 S _1 P

° [58.673] 0 1704360 1 3 970 0.15 0.029 -0.82 D

1

3 2p

6 -

2pH>P°3l,)3d

1 S — 3p°

[50.700] 0 1972390 1 3 45 0.0052 8.7 x 10-4 -2.28 E 1

4 2p6 —

2p5 UPS/2 )3d

4 S — 'P0 [50.074] 0 1997040 1 3 1.4 x 104 1.6 0.26 0.20 D 1

5 2p

6 —

2p5( 2 P?/2 )3d

IS — 3D°

[49.487] 0 2020730 1 3 1500 0.17 0.028 -0.77 D 1

Cl ix

Ground State l52 2s2 2p5 2 P3/>

Ionization Potential 400.7 eV= 3233000 cm-1

Allowed Transitions

The value for the 2s2 2p5 2 P°— 2s2p6 2 S multiplet is calculated from the nuclear charge-expansion method of Cohen and Dalgarno [1]. It may be quite uncertain since configuration interaction

effects with configurations involving the n = 3 shell electrons, which were not included in this

calculation, may be significant.

Reference

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

184
Cl IX. Allowed Transitions

No. Transition

Array

Multiplet A(A) £i(cm_1

) £*(cm-1

) gk Aki (1(P sec

-1

)

S(at.u.) log gf AccuracySource

1 2s22p5 —2s2pK ipo 2g 182.19 4533 553400 6 2 540 0.089 0.32 -0.27 D 1

[180.70] 0 553400 4 2 360 0.088 0.21 -0.45 D Is [185.25] 13600 553400 2 2 180 0.090 0.11 -0.74 D Is

Cl ix

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

Cl IX. Forbidden Transitions

No.

Transition

Array Multiplet MA) Ei ( cm ’) £7 (cm ') gi gk

Type of

Transition Aki ( sec *) S(at.u.)

Accuracy Source

1 2p5 — 2p5 ii i o

[7350.9] 0 13600 4 2 rn 45.2 1.33 A 1

Cl x

Ground State ls2 2s2 2p4 3 P2

Ionization Potential 455.3 eV= 3673000 cm-1

Allowed Transitions

The values are calculated from the charge-expansion method of Cohen and Dalgarno [1]

which includes limited configuration mixing. From comparisons with other ions in the isoelectronic

sequence, uncertainties should be within 50 percent.

Reference

[1] Cohen, M., and Dalgarno, A., Proc. Roy. Soc. London A280, 258-270 (1964).

185
Cl X. Allowed Transitions

No. Transition

Array

Multiplet mA) £i(cm_1

) Ek( cm >) gi gk Ahi (108 sec

-1

) fk S(at. u.) log gf Accuracy

Source

1 2s22p4 — 2s2ph 3p_:sp°

[205.34] 0 [487000] 5 5 180 0.11 0.38 -0.26 D 1. Is [210.03] 10880 [487000] 3 5 57 0.063 0.13 -0.72 D 1, Is

|

Clx

Forbidden Transitions

As in the case of Na IV the adopted values are taken from Naqvi [1], and Malville and Berger [2]. For a discussion on the selection of values see NalV, since the same criteria have been applied.

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M., and Berger, R. A., Planetary and Space Science 13, 1131 (1965).

ClX. Forbidden Transitions

Transition Type of AccuNo. Array Multiplet x (A) Ej (cm ') Ek (cm ') g> gk Transi- Aki ( sec ’) S(at.u.) racy Source

tion

1 2p4 —2p4 3 p 3 p

[9188.7] 0 10880 5 3 e 1.30X10-4 0.0152 c- 1. 2 [9188.7] 0 10880 5 3 m 28.6 2.47 B 1

2

3 P — ! D

[1639.3] 0 [61000] 5 5 e 0.036 0.0013 D- 1. 2

[1639.3] 0 [61000] 5 5 m 109 0.089 C 1 [1995.2] 10880 [61000] 3 5 e 0.0020 1.9X10-4 D- 1. 2

[1995.2] 10880 [61000] 3 5 m 20.4 0.0301 C 1

3

3 P — 1 S

[767.40] 0 [130310] 5 1 e 0.51 8.1X10-5 D- 2 [837.31] 10880 [130310] 3 1 m 1410 0.0307 C 2

4 •D-'S

[1442.8] [61000] [130310] 5 1 e 7.7 0.0287 C- 2

186
ARGON

Ar I

Ground State ls22s22p63s23p6 'So

Ionization Potential 15.755 eV = 127109.9 cnr1 Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

866.80 2 4510.73 76 5194.02 378

869.75 6 4522.32 68 5210.49 361

876.06 1 4544.75 413 5214.77 364

879.95 5 4554.32 359 5216.28 397

1048.22 4 4584.96 409 5221.27 360

1066.66 3 4586.61 408 5241.09 365

3406.18 97 4587.21 407 5246.24 392

3461.08 88 4589.29 75 5249.20 391

3554.30 82 4596.10 74 5252.79 363

3563.29 90 4628.44 73 5254.47 312

3567.66 77 4642.15 401 5286.07 317

3572.30 96 4647.49 400 5290.00 390

3606.52 87 4702.32 72 5309.52 318

3632.68 86 4746.82 386 5317.73 372

3634.46 85 4752.94 387 5373.50 366

3643.12 84 4768.68 301 5393.27 398

3649.83 95 4798.74 415 5410.48 367

3659.53 83 4835.97 414 5421.35 375

3670.67 93 4836.70 395 5439.99 334

3675.23 94 4876.26 358 5442.24 304

3770.37 89 4886.29 410 5451.65 333

3834.68 92 4887.95 357 5457.42 377

3894.66 91 4894.69 356 5459.65 303

3947.50 58 4921.04 411 5467.16 376

3948.98 59 4937.72 412 5473.46 340

4044.42 66 4956.75 402 5490.12 307

4045.96 67 4989.95 403 5492.09 382

4054.53 65 5032.03 405 5495.87 302

4158.59 57 5048.81 374 5506.11 306

4164.18 56 5054.18 336 5524.96 225

4181.88 71 5056.53 335 5528.97 393

4190.71 55 5060.08 388 5534.49 384

4191.03 70 5070.99 406 5540.87 224

4198.32 64 5073.08 300 5552.77 394

4200.67 54 5078.03 305 5558.70 216

4251.18 53 5087.09 389 5559.66 323

4259.36 80 5104.74 404 5572.54 233

4266.29 63 5118.21 309 5574.22 324

4272.17 62 5127.80 308 5581.87 226

4300.10 61 5151.39 298 5588.72 232

4333.56 78 5152.30 217 5597.48 327

4335.34 79 5162.29 299 5606.73 215

4345.17 77 5177.54 396 5618.01 344

4363.79 60 5187.75 218 5620.92 343

4424.00 69 5192.72 362 5623.78 328

308-022 0-69—13 187
Ar i. Allowed Transitions — Continued

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

5635.58 311 6119.66 320 6888.17 158

5637.33 369 6121.86 331 6925.01 263

5639.12 399 6127.42 227 6937.67 135

5641.39 310 6128.73 330 6951.46 163

5648.69 380 6145.44 260 6960.23 165

5649.26 381 6155.24 346 6965.43 31

5650.70 214 6165.12 259 6992.17 262

5659.13 379 6170.17 345 7030.25 272

5681.90 316 6173.10 238 7067.22 30

5683.73 315 6179.41 325 7068.73 274

5700.87 314 6212.50 245 7086.70 284

5712.51 368 6215.94 261 7107.48 273

5739.52 239 6230.93 244 7125.83 288

5772.11 247 6243.40 329 7147.04 29

5773.99 371 6244.73 266 7158.83 287

5783.54 240 6248.41 236 7162.57 168

5789.48 246 6278.65 242 7206.98 291

5790.40 370 6296.87 267 7229.93 149

5802.08 313 6307.66 243 7265.17 155

5834.26 248 6309.14 235 7270.66 142

5843.77 373 6364.89 234 7272.93 39

5860.31 271 6369.58 241 7285.44 178

5882.62 270 6384.72 269 7311.72 277

5888.58 337 6416.31 268 7316.01 295

5912.09 140 6431.56 275 7350.78 294

5916.58 229 6466.55 250 7353.18 276

5927.11 223 6481.14 347 7353.32 148

5928.81 339 6493.97 152 7372.12 141 5940.86 348 6513.85 349 7383.98 38

5942.67 338 6538.11 145 7392.97 281

5943.89 222 6596.12 144 7412.33 171

5964.48 251 6598.68 352 7422.26 172

5968.32 351 6604.02 146 7425.29 176

5971.60 350 6604.85 151 7435.33 280

5981.90 231 6632.09 279 7436.25 143

5987.30 220 6656.88 265 7471.17 37

5988.13 322 6660.68 278 7484.24 156

5994.66 321 6664.05 150 7503.87 52

5999.00 230 6677.28 40 7510.42 177

6005.73 383 6684.73 254 7514.65 36

6013.68 221 6698.47 159 7618.33 182

6025.15 353 6698.88 282 7628.86 183

6032.13 219 6719.22 249 7635.11 28

6043.22 228 6722.88 257 7670.04 147

6052.73 138 6752.84 137 7704.81 161

6059.37 139 6754.37 253 7723.76 27

6064.76 326 6756.10 258 7724.21 44

6081.25 385 6766.61 166 7798.55 154

6085.86 237 6779.93 332 7868.20 283

6090.79 319 6818.29 252 7891.08 162

6098.81 342 6827.25 256 7916.45 286

6101.16 355 6851.88 264 7948.18 43

6104.58 354 6871.29 136 7965.08 285

6105.64 255 6879.59 157 8006.16 35

6113.46 341 6887.10 164 8014.79 26
Ar I. Allowed Transitions — Continued

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

8016.74 290 11441.8 198 14093.6 118

8037.23 297 11467.5 113 14596.3 19

8046.13 153 11488.1 45 14634.1 18

8053.31 160 11580.4 10 14739.1 114

8066.60 289 11668.7 116 14786.3 417

8103.69 34 11719.5 106 14876.6 416

8115.31 25 11733.3 7 15046.4 134

8151.86 293 11943.5 8 15172.3 199

8203.42 292 12026.6 119 15302.3 16

8264.52 51 12112.2 102 15329.6 105

8384.73 174 12139.8 123 15353.5 202

8408.21 50 12343.7 108 15402.6 15

8424.65 33 12356.8 11 15555.5 126

8490.30 170 12402.9 111 15734.9 206

8521.44 49 12439.2 100 15776.6 201

8605.78 175 12456.1 190 15816.8 23

8620.46 167 12487.6 188 15899.9 20

8667.94 42 12554.4 101 15989.3 213

8761.69 181 12621.8 200 16122.7 103

8784.61 169 12702.4 133 16180.0 205

8799.08 173 12733.6 189 16264.1 209

8962.19 180 12746.3 204 16436.9 14 9057.51 296 12802.7 107 16520.1 110

9075.42 179 12933.3 203 16549.8 13 9122.97 24 12956.6 99 16739.8 208

9194.64 187 13008.5 207 16940.4 115

9224.50 48 13214.7 98 17823.3 17 9291.53 186 13231.4 193 20317.0 212

9354.22 47 13273.1 128 20616.5 125

9657.78 32 13313.4 122 20812.0 22

9784.50 46 13367.1 211 21332.2 121 10470.1 41 13406.6 9 21534.9 131

10478.0 185 13499.2 197 22039.2 120

10506.5 12 13504.0 104 22077.4 124

10673.6 184 13543.8 192 23133.4 130

10683.4 191 13573.6 210 23844.8 21 10950.7 117 13599.2 127 23967.5 129

11078.9 109 13622.4 112

11248.4 195 13678.5 132

11393.7 194 13825.7 196

A wealth of numerical data exists on the oscillator strengths of the Arl spectrum. Numerous

emission intensity measurements, performed mostly with stabilized arcs, as well as some lifetime

determinations and several calculations based on intermediate coupling theory, have been recently

reported in the literature.

Most of the work on Arl has centered on the prominent red and blue lines, i.e., the 45—4/;

and 45 — 5/; transition arrays. While the majority of the recent data agree very well on a relative

basis, considerable discrepancies exist on the absolute scale. At present two different absolute

scales, which are about 25 to 35 percent apart, appear to be supported by several experiments on each side, and at this time both possibilities deserve serious consideration.

One scale is clustered around the fairly extensive lifetime measurements of 4p and 5p levels

by Klose [12, 13] performed with a delayed coincidence method. This scale is, within a range of

about ± 10 percent, found also from the arc experiments of Popenoe and Shumaker [10] and Wiese
[14], from another less extensive lifetime experiment, again performed with the delayed coincidence

technique, by Osherovich and Veroleinen [15], and from the Coulomb approximation [16].*

The other absolute scale, which is about 25 to 35 percent lower, is supported by the recent

stabilized arc experiments of Bues et al. [5], Wende [4], and Richter [24] and by the shock-tube

experiment of Coates and Gaydon [18]. To complicate matters, a recent lifetime measurement of

two 4p levels by Landman [19] with the Hanle-effect technique — which has usually produced

reliable results — lies about half-way in between these two scales, leaning a little toward the first scale (the two Landman values are about 10 to 13 percent lower than those derived from the first scale).

Aside from the above mentioned work, many other emission experiments with arcs are available; but we have not considered these for the absolute scale after noticing that they either show

an appreciable scatter in the relative data when compared to any of the above experiments (which

are, on a relative basis, all in good agreement), or they contain assumptions and data used for the

diagnostics which are considered outdated now.

After a very detailed analysis we have decided to adopt the first scale as best represented by

Klose’s lifetime measurements. In our opinion this scale at present appears to be the least objectionable one; but it needs to be pointed out again that we do not consider this issue settled yet. We

have chosen this scale for the following principal reasons:

First, Klose’s lifetime data for four 4p and seven 5p levels (the latter in conjunction with theoretical data) represent a self-consistent set of data.

Second, there is no readily apparent reason why Klose’s measured lifetimes are too short as would be required by the other scale. There are two principal mechanisms which could cause his

lifetimes to be too short, namely, (a) depopulation by collisions and, (b) cascading from those higher

levels which decay faster than the 4p levels because they have a direct connection to the ground

state. The latter mechanism would apply principally to the 5s and 3d levels. Detailed quantitative

estimates [20] show, however, that under Klose’s conditions collisional depopulation is negligible

and the cascading from those higher fast-decaying levels which are directly finked with the ground

state is so severely modified by radiation trapping (imprisonment) that the effective lifetimes of

these states become much longer than the measured ones. Third, the Coulomb approximation, in conjunction with intermediate coupling theory [21],

produces within a few percent the same lifetimes as measured by Klose for the 4p levels. This is exactly the same situation as encountered for the analogous case of the 3s— 3p array of Ne I, where

the Coulomb approximation has given accurate numbers. In addition, the Coulomb approximation,

when applied to some other prominent transition arrays of Arl where no cancellation occurs, such

as 4p — 3d and 4p — 5s, is also in these cases consistent with the experimental data based on Klose’s

scale. Furthermore, the adopted absolute scale for the 4s— 4p array of argon fits much better into

the apparent regularities for atomic /-values than the other possible scale with the smaller /-values.

Fourth, a possible explanation for the cause of the discrepancy between the two scales has

been advanced by one of us some time ago [14] which also supports the adopted scale. The principal argument is based on the observation that in most emission intensity measurements the

authors fail to include the intensity contributed by the fine wings which may readily amount to about 15 to 20 percent. In the usually very dense arc plasmas the spectral fines are appreciably

broadened. Thus the far wing contributions, which are extremely difficult to measure, should be

taken into account by a theoretical estimate based on Stark broadening theory to obtain consistency

with either the lifetime results or calculated transition probabilities. This fine wing correction has

been included only in the arc experiments of Shumaker and Popenoe [3, 10] and Wiese [14], both of

which are in agreement with Klose’s scale. If this correction were applied to the other arc experiments, it would have the effect of increasing the results by about 15 to 20 percent or more and thus

bring them into reasonably close agreement with the scale adopted here.

In spite of the foregoing arguments, we feel that there may still be other equally important causes contributing to this discrepancy, since the line wing correction cannot explain certain

inconsistencies observed by several authors within their arc experiments (see, e.g., ref. [5]). In view

of this still somewhat uncertain situation we have been very conservative with our error estimates

for this spectrum.

Now some details on the chosen numerical values:

Our starting point has been Klose's lifetime measurements [12] for the 4p levels with which we

have renormalized Shumaker and Popenoe’s [3] transition probabilities for the 4s—4p array. (The
normalization factor is 0.926.) The Shumaker and Popenoe values, it might be pointed out, fulfill the 7-file sum rule very well. Calculated /-values by Garstang and Van Blerkom [21] for the 4s — 4p

array based on intermediate coupling theory and an absolute scale provided by the Coulomb approximation agree generally quite well with this scale. For the 4s— 3p transitions, the prominent

blue lines, we have chosen the averaged values of those recent sets of stabilized-arc data by Wende

[4], Bues et al. [5], and Corliss and Shumaker [6J, with appropriate renormalization factors. The

first two authors cover the entire 4s — Sp array, while Corliss and Shumaker have measured only

about half of the lines in a wall-stabilized arc. The three sets of data agree very well on a relative

basis, in most cases within 15 percent. To obtain the absolute scale, we have then connected these

4s— 5p data with the 4s— 4p array. Unfortunately, not too many links between the two transition

arrays exist. Out of these we have chosen the arc measurements of Popenoe and Shumaker [10].

° ° which cover a few lines of both arrays. In particular, the 4300 A line (4s — 5p) and the 6965 A line

(4s— 4p) were extensively measured by these authors, and Corliss and Shumaker [6] use this value

for the 4300 A line as the basis for their other results. We have therefore first renormalized the data

of Corliss and Shumaker with the same factor applied earlier to the Shumaker and Popenoe values

o for the 4s— 4p lines (since these measurements were based on the 6965 A (4s— 4p) line). Then the

material of Bues et al., and Wende was put on this same absolute scale by determining and applying

the respective mean arithmetic factors against the renormalized Corliss and Shumaker values;

these factors are 1.250 for Bues et al., and 1.329 for Wende.

o From our principal connection between the 4s—

4

/j and 4s— 5p arrays based on the 4300 A and

6965 A lines, a transition probability ratio of 0.059 may be derived for these two lines. For comparison, the arc measurements of Bott [17] produce a ratio of 0.050, while Coates and Gaydon [18]

with a shocktube obtain 0.062. It is also interesting to note that for another possible link, this one

° ° between the 4300 A and 7147 A lines, the here-obtained ratio of 0.61 is again bracketed by those

obtained by Coates and Gaydon (0.45) and Bues et al. (0.69).

The adopted 4s— 5p transition probabilities, combined with theoretical data for the far-infrared 5s — 5p and 3d — 5p transitions [11, 13], are completely consistent with the lifetime data for seven 5p levels measured by Klose [12].

For many other lines in the visible and near ultraviolet we have primarily drawn on the (renormalized) material of Bues et al. [5], and Malone and Corcoran [8]. The latter used a radio fre- quency induction coupled plasma source; their renormalization factor is 1.159. In the many cases,

where in addition to the material of Bues et al., data from Corliss and Shumaker were also available,

we have given preference to the values of Bues et al., since these were obtained photoelectrically

with a stabilized arc while Corliss and Shumaker’s data were usually derived from an analysis of

the relative intensity measurements of Dieke and Crosswhite [22]. For some 4p — 6s lines we have

listed the calculated absolute values of Johnston [7], based on intermediate coupling theory. We

have not used any of his other material, since the transition integrals are very small, indicating

cancellation, and his values usually disagree strongly with Bues et al., or Corliss and Shumaker,

when comparisons are possible. We have also not used the results of Desai and Corcoran [23],

obtained with a radio frequency plasma source, since — in comparison with other experimental

values [5, 6] — they seem to show a dependence on the upper energy level of the transition involved.

For numerous infrared lines, we have employed the relative arc measurements of Wiese

et al. [9], which are normalized again to Klose’s scale. In the case of the 4p — 5s array, we could

complete the data by using also the intermediate coupling calculations of Murphy [11]. These

theoretical data, presented on their own absolute scale, are in fairly good agreement with the arc measurements, in many cases within 30 percent.

In order to have a number of transition arrays complete or nearly complete, which is quite

useful for checks with the ./-file sum rule, we have listed in our compilation a number of mostly

weak lines which we normally do not include in these compilations (lines of class “E”). We feel

that none of these listed lines are very uncertain, i.e., we consider most of them probably to be

within a factor of two of the true values.

Finally, for the two principal resonance lines in the vacuum uv, 3p — 4s, we have taken the

average of a lifetime result by Lawrence [1] obtained with the delayed-coincidence method and

a value reported by Lewis [2] who has analyzed natural line width measurements, which essentially

constitute lifetime measurements, too. For several other lines in the vacuum uv we have deduced

transition probabilities from Lawrence’s lifetime measurements by subtracting out the smaller

contributions, ranging from about 6 percent to 40 percent, of numerous infrared transitions starting
from the same upper levels. To do this, we applied the arc measurements of Wiese et al. [9J. and

the intermediate coupling calculations of Murphy [1 1

J.

References

[1] Lawrence. G. M., Phys. Rev. 175 , 40-44 (1968).

[2] Lewis. E. L., Proc. Phys. Sue. London 92, 817-825 (1967).

[3] Shumaker, Jr., J. B. and Popenoe, C. H., J. Opt. Soc. Am. 57, 8-10 (1967).

[4] Wende, B„ Z. Physik 2 1 3 , 341-351 (1968).

[5| Bues, I., Haag, T., and Richter, J., Technical Report Inst. Experimentalphysik. Kiel Universitaet (1966-67).

[6 ] Corliss, C. H., and Shumaker. Jr., J. B., J. Res. NBS 71A (Phys. and Chem.) No. 6, 575-581 (1967).

[7] Johnston, P. D.. Proc. Phys. Soc. London 92 , 896-908 ( 1967).

[8] Malone, B. S., and Corcoran, W. H.. J. Quant. Spectrosc. Radiat. Transfer. 6, 443-449 (1966).

[9] Wiese, W. L., Bridges, J. M., Kornblith. R. L., and Kelleher, D. E. (to be published).

[10] Popenoe, C. H., and Shumaker. Jr., J. B., J. Res. NBS 69A (Phys. and Chem.) No. 6. 495-509 (1965).

[11] Murphy, P. W„ J. Opt. Soc. Am. 58, 1200-1208 (1968).

[12] Klose, J. Z.. J. Opt. Soc. Am. 57, 1242-1244 (1967).

[13] Klose. J. Z., J. Opt. Soc. Am. 58, 1509-1512 (1968).

[14] Wiese. W. L., Proc. Eighth International Conference on Phenomena in Ionized Gases, Vienna, Austria, 447 (Springer

Verlag, Vienna. 1967).

[15] Osherovich, A. L. & Veroleinen, Ya.F., Vestnik Leningrad. Univ. Fiz. i Khim. No. 1, 140-141 (1967).

[16] Bates, D. R. & Damgaard, A., Phil. Trans. Roy. Soc. London, Ser. A. 2 42, 101-122 (1949).

[17] Bolt, J. F„ Phys. Fluids 9, 1540-1547 (1966).

[18] Coates, P. B. & Gaydon, A. G., Proc. Roy. Soc. London A2 93 , 452-468 (1966).

[19] Landman. D. A., Phys. Rev. 173, 33-39 (1968).

[20] See, e.g., Wiese, W. L., Chapter 2.1 Vol. 7A, Methods of Experimental Physics, Academic Press, New York (1968).

[21] Garstang, R. H. and Van Blerkom. J., J. Opt. Soc. Am. 55, 1054-1057 ( 1 965).

[22] Dieke, G. H. and Crosswhite, H. M., Ordance Project No. TB2-0001 (488) (Dec. 1954).

[23] Desai, S. V., and Corcoran, W. H., J. Quant. Spectrosc. Radiat. Transfer 8, 1721-1730 (1968).

[24] Richter, J., Z. Astrophys. 61, 57-66 ( 1965).

*Note Added in Proof: New lifetime measurements by Veroleinen and Osherovich [Optics

and Spectroscopy (U.S.S.R.) 25 , 258-259 (1968)] for five 4p levels are in very close agreement

with our adopted absolute scale. If these results would be applied to the same 4p levels for which

we have used Klose’s data [12], our absolute scale would shift by 2 percent towards higher transition

probabilities.

Ar 1 . Allowed Transitions

No.

Transit ion

X(A) /(cm’1 ) /•/(cm- 1

) gk 4/(10*

sec

-1

)

/A- S(at.u.) l«>g Kf

Accu- racy

Source

/-coupling Paschen

1 3/>fi 'S-3r/[|]° l/>o — 3c/2 876.06 0 114148 1 3 2.70 0.093 0.269 - 1.032 C + 1. 9n 2 3/;K 'S—3d' [|]° 1/>o — 3s i 866.80 0 115367 1 3 3.13 0.106 0.302 -0.97 c+ 1. 9/t

3 3/>6 *S — 4s [i]

° lp0 ls.4 1066.66 0 93751 1 3 1.19 0.061 0.214 - 1.215 c + 1. 2 4 3p«>S-4S '[i]° l/>o— ls2 1048.22 0 95400 1 3 5.1 0.254 0.88 -0.60 c + 1. 2

5 3pfil S— 5s[f]° l />0 — 2s_, 879.95 0 113643 1 3 0.77 0.0268 0.078 - 1.57 c 1. 9//. 11 6 3/>H ’S — 5s' [i]° 1 /><) — 2s2 869.75 0 114975 1 3 0.350 0.0119 0.0341 - 1.92 c 1. 9//. 11

7 34i]°— 4/[i] 34 -4X 11733.3 111668 120188 1 3 0.0067 0.0416 1.60 - 1.381 c 9n

8 3d[|]°— 4/[f] 34 -4X 11943.5 111818 120188 3 8 0.046 0.26 31 -0.11 D + 9// 9 3<7[!]° — 4/[f] 34 -4V 13406.6 112750 120207 9 20 0.065 0.39 150 0.55 D 9n

10 3d[|]° — 4/' [f] 34 — 4W 11580.4 113020 121653 7 16 0.00346 0.0159 4.24 -0.95 C 9n

11 34ll°-4/Tfl 34-4Y 12356.8 112139 120230 5 12 0.035 0.19 39 -0.02 D 9n

12 3d[f]° — 4/' [f] 34 -4Z 10506.5 112139 121654 5 12 0.0158 0.063 10.9 -0.50 C 9n

13 34§]°- 4/m 34 -4X 16549.8 114148 120188 3 8 0.016 0.18 29 -0.27 D- 9n 14 34i]° — 4/[f] 34-4Y 16436.9 114148 120230 3 5 0.059 0.40 65 0.08 D 9n 15 34f]° —4/[f] .34 -4V 15402.6 113717 120207 7 9 0.014 0.064 23 -0.36 D- 9,i 16 34f]° — 4/[i] 34 -4U 15302.3 113717 120250 7 16 0.054 0.43 150 0.48 D- 9n

192
Arl. Allowed Transitions — Continued

Transition Ac- No. A( \) £’i(cm _l

) /7/,(cm _1

) fik Ti<io* Jik 5(at.u.) log £/' cu- Source

//-coupling Pasclien

sec

-1

) racy

17 1 MM o 3s;"' -4U 17823.3 114641 120250 5 7 0.0084 0.056 16 -0.55 E 9/1 18 3r/' [i]° — 4/' [|] 3s;" -4W 14634.1 114822 121653 7 16 0.090 0.66 220 0.66 I)- 9n

19 3r/' [l]° — 4/' [f] 3s'i' — 4Z 14596.3 114805 121654 5 12 0.053 0.41 98 0.30 D- 9,1 20 3r/'[i]°-4/'[f] 3s J — 4Z 15899.9 115367 121654 3 5 0.077 0.49 76 0.17 D 9/1

21 3r/[i]°-5p[f] 3d\ — '3/)i, 23844.8 112750 116943 9 7 0.012 0.079 56 -0.15 D 9fi 22 3r/[f]°-5,,[1] 3d\\ 3/A) 20812.0 112139 116943 5 7 8.5 X 10-4 0.0077 2.6 - 1.41 D- 9/j 23 3</[i]° — 5/> [|] 3(l-.\ — 3p> 15816.8 112139 118460 5 3 9.8 x lO-4 0.0022 0.57 - 1.96 E 9//

24 4.s[in°- 4/>r^i Is.-, — 2// 1( , 9122.97 93144 104102 5 3 0.212 0.159 23.8 -0.100 C 3/# 25 4s[f]°-4/,[i] Is.-, — 2//H 8115.31 93144 105463 5 7 0.366 0.51 68 0.407 C 3/i 26 45 m°- 4/; ft! 1 Sr,/—

2

/>h 8014.79 93144 105617 5 5 0.096 0.092 12.2 -0.337 C 3/j 27 4sm°-4/>m Is.-, — 2/>- 7723.76 93144 106087 5 3 0.057 0.0306 3.89 -0.82 C 3 n 28 1 W|M O

\S:, — 2/>ti 7635.11 93144 106238 5 5 0.274 0.239 30.

1

0.077 c 3n

29 <*3 o 1 ls-> — 2/>4 7147.04 93144 107132 5 3 0.0065 0.00299 0.351 -1.83 c 3/f 30 4s [|]

0 -4/>'[f] 1 5.-, 2//.i 7067.22 93144 107290 5 5 0.0395 0.0296 3.44 -0.83 c 3/i 31 4s[i]°-4/>Ti] Is.-) — 2/)> 6965.43 93144 107496 5 3 0.067 0.0292 3.35 -0.84 c 3// 32 4s [i]° — 4// [|] Is.) 2/>u) 9657.78 93751 104102 3 3 0.060 0.084 8.0 -0.60 c 3/i 33 4»[f]°-4//[i] ls4 — 2//H 8424.65 93751 105617 3 5 0.233 0.413 34.4 0.093 c 3/i

34 4s[i]°-4/di] lS4~ 2p- 8103.69 93751 106087 3 3 0.277 0.273 21.8 -0.087 c 3/t 35 4s[i]°-4/di] ls4 — 2/>h 8006.16 93751 106238 3 5 0.0468 0.075 5.9 -0.65 c 3/? 36 4s[f]°-4,di] ls4 — 2/>r> 7514.65 93751 107054 3 1 0.430 0.121 9.0 -0.440 c 3/i 37 4sffl°-4//[|] ls 4 — 2/>4 7471.17 93751 107132 3 3 2.5 x 10—* 2.1 X 10-4 0.015 -3.20 c- 3// 38 4s[i]°-4//[i] ls 4 — 2p:i 7383.98 93751 107290 3 5 0.087 0.119 8.6 -0.447 c 3//

39 4s[f]°-4//[i] ls4 2p> 7272.93 93751 107496 3 3 0.0200 0.0159 1.14 - 1.321 c 3n 40 4s[i]°-4p'[i] ls4 2p\ 6677.28 93751 108723 3 1 0.00241 5.4 x 10-4 0.0354 -2.79 c 3// 41 4s[i]°-4/di] ls;j 2/>io 10470.1 94554 104102 1 3 0.0117 0.058 1.99 - 1.237 c 3// 42 45'm o -4pm ls.i — 2/>7 8667.94 94554 106087 1 3 0.0280 0.095 2.70 - 1.022 c 3// 43 4s

, [i]°-4/>

, [f] ls;! — 2pA 7948.18 94554 107132 1 3 0.196 0.56 14.6 -0.252 c 3//

44 4s'[i]°-4//[i] Is,! - 2p-2 7724.21 94554 107496 1 3 0.127 0.341 8.7 -0.467 c 3// 45 4s'[i]°-4/di] 1 S‘> — 2/> 1

0

11488.1 95400 104102 3 3 0.0025 0.0049 0.56 -1.83 c- 3// 46 4s'[i]°-4/dt] Iso — 2/>s 9784.50 95400 105617 3 5 0.0161 0.0385 3.72 -0.94 c 3// 47 4s’ [i]° —4/df] 1 S-2 — 2/>7 9354.22 95400 106087 3 3 0.0115 0.0151 1.39 - 1.344 c 3// 48 4s'[i]°-4/di] lS2— 2/>,i 9224.50 95400 106138 3 5 0.059 0.125 11.4 -0.426 c 3//

49 4s'm°-4//[t] 1S2 — 2pA 8521.44 95400 107132 3 3 0.147 0.160 13.5 -0.319 c 3»

50 4s'[i]°-4,/ffl 1 S-2 — 2p'\ 8108.21 95400 107290 3 5 0.244 0.431 35.8 0.112 c 3// 51 4s'[i]°-4//[i] \s>—2p> 8264.52 95400 107496 3 3 0.168 0.172 14.0 -0.287 c 3// 52 4s'[i]°-4//[i] \s>—2pi 7503.87 95400 108723 3 1 0.472 0.133 9.8 -0.399 c 3//

53 4s[|]° — 5/;[i] lsr, — 3/>io 4251.18 93144 116660 5 3 0.00113 1.84 x 10-4 0.0129 -3.036 c 4/z . 5n . 6/f 54 4s[fT— 5/d§l ls,5 3/>h 4200.67 93144 116943 5 7 0.0103 0.00382 0.264 - 1.72 c 4/f . 5/i 55 4s[i]°-5/>[i] lss—

3

/> k 4190.71 93144 116999 5 5 0.00254 6.7 x 10-4 0.0461 -2.475 c 5/i 56 4s[f]° — 5/>[f] lSg —

3

/>t 4164.18 93144 117151 5 3 0.00295 4.60 x 10-4 0.0315 -2.64 c 4/f . 5/f . 6/f 57 4s[i]°-5/di] IS;,— 3/>« 4158.59 93144 117184 5 5 0.0145 0.00376 0.257 -1.73 c 4/z . 5/f . 6/f

58 4s[i]° — 5// [f] lsg —3/>;i 3947.50 93144 118469 5 5 6.3 x 10-4 1.47 x 10-4 0.0096 -3.134 c 4/f . 5/f 59 4s[i]° — 5// [i] 1 Sr, — ip> 3948.98 93144 118460 5 3 0.00467 6.6 x 10 -4 0.0426 -2.481 c 4/f. 5/f 60 4s[f]° — 5/di] 1 S4 — 3/> 1

0

4363.79 93751 116660 3 3 1.5 x 10-4 4.3 x 10-5 0.0018 -3.89 D 4/f .5n . 6// 61 4s[i]° — 5/df] IS4 — 3pn 4300.10 93751 116999 3 5 0.00394 0.00182 0.077 -2.263 c 4/f. 5/f. 6/f 62 Jdi]°-5/df] ls4 3/>7 4272.17 93751 117151 3 3 0.0084 0.00230 0.097 -2.161 c 4// . 5// . 6//

63 4s[fr-5/d§]

idi]°-5/dil

ls4 — 3/>h 4266.29 93751 117184 3 5 0.00333 0.00151 0.064 -2.344 c 4/f . 5/f . 6/f 64 ls4 — 3/;r> 4198.32 93751 1 1 7563 3 1 0.0276 0.00243 0.101 -2.137 c 4/f. 5/f 65 4s[i]

& — 5// [f] IS4 — 3/>4 4054.53 93751 118407 3 3 2.71 X 10 -4 6.7 x 10-- 0.00267 -3.70 c- 4/f. 5/f 66 4s[ir-5//[§] 1

S

4 — 3/>.i 4044.42 93751 118469 3 5 0.00346 0.00141 0.056 -2.374 c 4/f. 5/f 67 l5 [i]

0 — ^/' Li] 1 S4 — 3/>2 4045.96 93751 118460 3 3 4.38 X H) -4 1.08 x 10-4 0.00430 -3.489 c 4/f. 5//

193
Arl. Allowed Transitions — Continued

Transition AcNo. MA) filcirr 1

) fVfcm- 1

) gi A'a- /1a-, <10* fik S(at.u.) log A/ cu- Source

sec

-1

) racy

^/-coupling Paschen

68 Ts'M°-5pm 1 s.j 3// hi 4522.32 94554 116660 1 3 9.5 X lO- -1 8.7 X 10-4 0.0130 -3.060 C 4/? . 5 n

6/7 69 4s [i]

& — 5/di] lS;{ — 3/>7 4424.00 94554 117151 1 3 8.4 x 10-5 7.4 X lO-5 0.0011 -4.13 D 4/i . 5// . 6n

70 4s'[*]°-5/>'[f] ls.{ — 3/^4 4191.03 94554 118407 1 3 0.0056 0.00442 0.061 -2.355 C 5// 71 4s'm°-5//m 1 S.j — 3/^2 4181.88 94554 118460 1 3 0.0058 0.00456 0.063 -2.341 c 4//. 5/i 72 4s'm°-5/,m ls2 3/> 1

4702.32 95400 116660 3 3 0.00113 3.75 X 10-4 0.0174 -2.95 c 4// . 5/i . 6/i

73 4s'r*l°-5/dtl \s> — 3/)x 4628.44 95400 116999 3 5 4.25 X 10-4 2.28 X 10-4 0.0104 -3.165 c- 4/i . 5/i . 6/i 74 4s'[i]°-5/>[i] \s> — '3/>- 4596.10 95400 117151 3 3 0.00102 3.23 x 10-4 0.0147 -3.014 c 4/i . 5/i . 6/i 75 Is'tiV- 5//[i] ls2 — 3/>« 4589.29 95400 117184 3 5 5.1 X lO-- 2.7 x lO-- 0.0012 -4.09 D 4/i. 5/i. 6/i 76 fa'm°-5/> m l52 —3/>r, 4510.73 95400 117563 3 1 0.0123 0.00125 0.056 -2.426 C 4// . 5/i . 6/i 77 ndi]°-V[i] ls> — 3/>4 4345.17 95400 118407 3 3 0.00313 8.9 x 10-4 0.0380 -2.57 C 4/i . 5/i . 6/i

78 45 'm°-5//[f]

5/>'[«

1 s-> — 3/>;{ 4333.56 95400 118469 3 5 0.0060 0.00282 0.121 -2.073 C 4/i. 5/i 79 1s2 -3/>2 4335.34 95400 118460 3 3 0.00387 0.00109 0.0467 -2.485 C 4/i. 5/i 80 »/>'[« ls2 —3/>! 4259.36 95400 118871 3 1 0.0415 0.00376 0.158 - 1.95 c 4// . 5/i

6//

81 4sri]°-6/dfl 1 s-, — 4//» 3567.66 93144 121165 5 7 0.0012 3.2 X 10-4 0.019 - 2.80 D 8// 82 4s[f]° 6//[i]

4s[f]°-6p[|]

Is.-, — 4/>« 3554.30 93144 121271 5 5 0.0029 5.5 X 10-4 0.032 -2.56 D , 8// 83 1 S4 — 4/>i„ 3659.53 93751 121069 3 3 4.7 X lO-4 9.4 x 10-3 0.0034 — 3.55 D 8// 84 — 6/>[f] ls 4 —

/> h 3643.12 93751 121192 3 5 2.6 x 10-4 8.6 x 10-3 0.0031 -3.59 D 8n 85 4s[f]°-6/,[|] ls 4 — 4/>7 3634.46 93751 121257 3 3 0.0014 2.8 x 10-4 0.010 -3.08 D 8n

86 4s[i]°-6/di] ls4 — 4/>« 3632.68 93751 121271 3 5 7.0 x 10-4 2.3 x 10-4 0.0083 -3.16 D 8n 87 4s [i]° — 6i>[i] ls4 4/>5 3606.52 93751 121470 3 1 0.0081 5.3 x 10-4 0.019 -2.80 D 8n

88 4s[i]°-6//[i] ls4 4/>;{ 3461.08 93751 122635 3 5 7.1 x 10-4 2.1 x 10-4 0.0073 -3.20 D 8,i 89 4s [i ] ° 6/> [i] IS;} 4pi() 3770.37 94554 121069 1 3 7.4 x 10-4 4.7 x 10-4 0.0059 -3.33 D 8,i 90 45 'ffl°-6//[f] ls:s 4//4 3563.29 94554 122610 1 3 0.0013 7.4 x 10-4 0.0087 -3.13 D 8n

91 4s [ i ] 0 6/>» [ i ] ls-2 4/> 10 3894.66 95400 121069 3 3 6.1 x 10-4 1.4 x 10-4 0.0053 -3.38 D 8,i 92 4s [i]° — 6//[i] 1

2 — 4/>r> 3834.68 95400 121470 3 1 0.0080 5.9 x 10 -4 0.022 -2..75 D 8n

93 4s'[i]° —6//[i] 1 S2 4/>;i 3670.67 95400 122635 3 5 3.3 x 10-4 1.1 x 10 -4 0.0040 -3.48 D 8,i 94 4s'[±]°-6//ri] 1 S2 4/>2 3675.23 95400 122601 3 3 5.2 x 10-4 1.1 x lO-4 0.0038 -3.48 D 8,i 95 4s'[i]°-6/>'[i] 1 s2 4/> i 3649.83 95400 122791 3 1 0.0085 5.7 x 10-4 0.020 -2.77 D 8,i

96 4s'm°-7/>m ls2 — 5//-, 3572.30 95400 123385 3 1 0.0054 3.4 x 10 -4 0.012 -2.99 D 8/i 97 4s'[i]°-7//[J] ls2 — 5/>i 3406.18 95400 124750 3 1 0.0041 2.4 x 10-4 0.0080 -3.14 D 8,i

98 4/di] — 3t/[j]° 2pio 3r/« 13214.7 104102 111668 3 1 0.091 0.079 10 -0.63 D 9,i 99 41> [i] — 3r/[^]° 2/>io 3</:, 12956.6 104102 111818 3 3 0.083 0.21 27 -0.20 D 9,i 100 4/di] — 3r/[§]

° 2/; hi 3(1

12439.2 104102 112139 3 5 0.055 0.21 26 -0.20 D 9,i 101 4/d*]-344]° 2p9 — 3r/',' 125.54.4 105463 113426 7 5 0.0014 0.0024 0.68 - 1.77 D 9,i 102 4/dfl — 3//[f]° 2[h — 3d\ 12112.2 105463 113717 7 7 0.035 0.077 21 -0.27 D 9,i

103 4/dil— 3r/[2]

& 2pn ~ 3dh 16122.7 105617 111818 5 3 4.4 X 10-4 0.0010 0.27 -2.30 D- 9,i 104 4/di] — 3</LlJ° 2/>h 3r/4 13504.0 105617 113020 5 7 0.12 0.47 100 0.37 D 9,i 105 4/di]-3f/[i]° 2/>h 3c/;| 15329.6 105617 112139 5 5 0.0014 0.0049 1.2 -1.61 E 9,i 106 4/di]-3^[f]° 2i>h — 3(I> 11719.5 105617 114148 5 3 0.0107 0.0132 2.55 -1.180 C 9/i 107 4/di] — 3r/[§]

0 2/>H — 3<l'i 12802.7 105617 113426 5 5 0.064 0.16 33 -0.10 D 9,i

108 4/di] — 3r/[f]° 2/>k — 3r/,' 12343.7 105617 113717 5 7 0.022 0.071 14 -0.45 D 9n 109 4/di] ~~ 3</ [|]° 2/>s — 3sV" 11078.9 105617 114641 5 5 0.0093 0.0172 3.13 -1.066 C 9,i no 4/di] — 3</[f]° 2/>7 3r/.i 16520.1 106087 112139 3 5 0.0029 0.020 3.3 -1.22 D 9,i in 4/di] — 3r/[f]° 2/>7 3</> 12402.9 106087 114148 3 3 0.12 0.27 32 -0.09 D 9,i 112 4/di] — 3r/[i]° 2/)7 -3(l'; 13622.4 106087 113426 3 5 0.082 0.38 51 0.06 D- 9n

113 4/di] -'id' [f]° 2/>7 — 3s, 11467.5 106087 114805 3 5 0.00415 0.0136 1.54 -1.388 C 9n

114 4/di] -34f]° 2/>« — 3r/4 14739.1 106238 113020 5 7 9.9 x 10-4 0.0045 1.1 - 1.65 D 9,i 115 4p [i] 3r/ [d] 2/>« — 3di 16940.4 106238 112139 5 5 0.028 0.12 34 -0.22 D 9n

116 4/di] -3r/di]° 2/>h — 3s',' 11668.7 106238 114805 5 5 0.0423 0.086 16.6 -0.367 c 9n 117 4/di] ~~ 3// Li]° 2p« — 3s i 10950.7 106238 115367 5 3 0.00445 0.00480 0.87 -1.62 C 9„

194
Arl. Allowed Transitions — Continued

Transition

X(A)

AcNo. c m

-

1

) /^•(crrr 1 ) .#*,( 1 0* U S(at.u.) log Kf' cu- Source

sec-1

) racy

//-coupling Paschcn

118 4/>[£]-34i]° 2p:, —3d> 14093.6 107054 1 14148 1 3 0.048 0.43 20 -0.37 D 9„ 119 Mil —3c/' [|]° 2/>3 —3s,' 12026.6 107054 115367 1 3 0.0047 0.031 1.2 -1.51 D 9/? 120 41 > [i] —3r/[*]° 2p4 —3dti 22039.2 107132 111668 3 1 0.0014 0.0033 0.71 -2.00 D- 9„ 121 4P [il-3,/m° 2p4 — 3d 21332.2 107132 111818 3 3 3.6 x 10—* 0.0025 0.52 -2.12 D- 9/i 122 4//[i]-3,/'[f]° 2/o 3s'I" 13313.4 107132 114641 3 5 0.15 0.65 85 0.29 D 9n

123 4// [f] —3d' [i]° 2/o — 3si 12139.8 107132 115367 3 3 0.051 0.11 14 -0.48 D 9/i 124 4//[l]-3,/[*]° 2/; :i — 3,/, 22077.4 107290 111818 5 3 0.0016 0.0068 2.5 - 1.47 D 9,i 125 ip [4] — 3,/[|]° 2/>:, — 3,/;i 20616.5 107290 1 12139 5 5 0.0044 0.028 9.6 -0.85 D- 9/i 126 4/; [i]-Mf]° 2/>;t — 3,/J 15555.5 107290 113717 5 l 1.1 x 10-4 5.8 x 10-4 0.15 -2.54 D- 9/i 127 4p [i]-3r/di]° 2/> :t — 3s',"' 13599.2 107290 114641 5 5 0.025 0.070 16 -0.46 D- 9/i

128 4 n [i]-3r/df]° 2p:i — 3s'i 13273.1 107290 114822 5 7 0. 1

7

0.61 130 0.48 D- 911 129 4//m-3r/m° 2p2 — 3dn 23967.5 107496 111668 3 1 0.0041 0.012 2.8 - 1.44 D- 9,i 130 41> m-3,/m° 2p> — 3,/, 23133.4 107496 111818 3 3 0.0019 0.015 3.5 - 1 .35 D 9/i 131 4p [2] 3,/[ :J]° 2p> — 3d:i 21534.9 107496 112139 3 5 0.0012 0.013 2.9 - 1.41 D 9n

132 ip [1] ~3,/ [i]

L 2/o — 3s" 13678.5 107496 114805 3 5 0.070 0.33 44 -0.00 D- 9,i

133 ir'm-zd' [i]° 2p> — 3s[ 12702.4 107496 115367 3 3 0.080 0.19 24 -0.24 D 911 134 4//[i]-3,/'[|]° 2p t — 3sj 15046.4 108723 1 15367 1 3 0.058 0.59 29 -0.23 D 911

135 4/>[i] — 4./[i]° 2/^io — 4c/« 6937.67 104102 118512 3 1 0.0321 0.0077 0.53 - 1.64 C 3n

136 4p [IJ — 4r/[iJ

u 2/;,n — 4,/, 6871.29 104102 1 18651 3 3 0.0290 0.0205 1.39 -1.211 C 3n

137 4/>m-44ir

4/di]-4r/'[f]°

2/0 0 4c/;j 6752.84 104102 118907 3 5 0.0201 0.0229 1.53 - 1.163 C 3n

138 2/o » — 4s',"' 6052.73 104102 120619 3 5 0.0020 0.0018 0.11 -2.27 D + 3n

139 4p[i] -4,/'[i]° 2/o,)— 4s',' 6059.37 104102 120601 3 5 0.00423 0.00388 0.232 - 1.93 C 3n. 611

140 4/> [|] — 4,/' [|]

& 2/>,o — 4sj 5912.09 104102 121012 3 3 0.0105 0.0054 0.320 - 1.79 C 3/i. 611 141 4/dl] — 4</[|]° 2/o — 4r/^ 7372.12 105436 119024 7 9 0.020 0.021 3.5 -0.84 D + 3/i 142 4/;[!] — 4</[|]° 2/>9 4^/4 7270.66 106436 119213 7 7 0.0011 8.4 X 10-4 0.14 -2.23 D 3/i 143 Mi]-4,/m° 2/;., — 4,/: , 7436.25 105436 118907 7 5 0.0028 0.0016 0.28 - 1.94 D 5/, 144 4/di] — 4c/' [f j° 2/0) — 4s'," 6596.12 105436 120619 7 5 2.4 x 10-4 1.1 X 10-4 0.017 -3.11 D 6/1

145 4/di] — 4,/ [§]

J 2/o — 4s i "

6538. 1

1

105436 120754 7 7 0.0011 7.2 x 10-4 0.11 -2.30 D + 3/i 146 4/dt]-4./'m° 2/o — 4s',' 6604.02 105436 120601 7 5 0.0029 0.0013 0.20 -2.03 D + 3n

147 4/>m-4r/m° 2/o — 4d-, 7670.04 105617 118651 5 3 0.0029 0.0015 0.19 -2.12 D 3/i 148 4/di] — 4,/[f ] u 2/o 4^/4 7353.32 105617 119213 5 7 0.010 0.012 1.4 - 1.24 D + 3,i 149 4/dt] -4</[i]° 2/o — 4r/',' 7229.93 105617 119445 5 5 6.9 X 10-4 5.4 x 10-4 0.064 -2.57 D 3,i

150 4P [i] —id [i] 2/o -4s'," 6664.05 105617 120619 5 5 0.0016 0.001

1

0.12 -2.28 D + 3/i 151 4P :i]-wdt]° 2/)k — 4s,'" 6604.85 105617 120754 5 7 1.4 X 10-4 1.3 x 10-4 0.014 -3.19 D 3„

152 4p :ti-wdii° 2/>m — 4s i 6493.97 105617 121012 5 3 3.1 x 10-4 1.2 X 10-4 0.013 -3.22 D 6/1 153 ip i]-4,/[ir 2p7 -id, 8046.13 106087 118512 3 1 0.0117 0.00379 0.301 - 1.94 C 3,i 154 id [i] — 4,/[|]

& 2/> 7 — 4,/:, 7798.55 106087 119807 3 5 9.1 X 10-4 0.0014 0.11 -2.38 D + 3/i

155 4/di] ~ 4</[i]° 2p- — id> 7265. 1 7 106087 119848 3 3 0.0018 0.0015 0.10 -2.36 D 3/i 156 4/di] — 4</[i]° 2p- — id'i 7484.24 106087 119445 3 5 0.0035 0.0049 0.37 - 1.83 D + 311 157 4/di] — 4<-/' [IT 2/o -4s'," 6879.59 106087 120619 3 5 0.0019 0.0023 0.16 -2.16 D + 3n

158 4/di] — 4f/' [i]° 2/o — 4s',' 6888.17 106087 120601 3 5 0.0026 0.0031 0.21 -2.04 D + 3n

159 4/di] -4f/'[i]° 2/> 7 — 4s ,' 6698.47 106087 121012 3 3 2.6 x 10-> 1.7 x 10- 4 0.012 -3.29 D 3n

160 4/di] -4^/[i]° 2/o-4,/, 8053.31 106238 118651 5 3 0.0090 0.0053 0.70 - 1.58 C 3n

161 4/di] — 4./[i]° 2/o 4,/4 7704.81 106238 119213 5 7 6.6 x 10“ 4 8.2 X 10-* 0.10 -2.39 D 3/i 162 4/di] ~4,/[f]

& 2/0 — 4,/;, 7891.08 106238 1 18907 5 5 0.0099 0.0092 1.20 - 1.337 C 3n

163 4/di] — 4c/' [|]° 2/,(i — 4s','" 6951.46 106238 120619 5 5 0.0023 0.0016 0.19 -2.09 D 3n

164 4/di] -4,/'[i]° 2/o 4s'," 6887.10 106238 120754 5 7 0.0014 0.0014 0.16 -2.16 D + 3/i

165 4/di] —id fi]° 2/o- 4s

,

6960.23 106238 120601 5 5 0.0025 0.0018 0.21 -2.04 D 3/i 166 4/di] — id' [i]

&

2,,,i 4s 1 6766.61 106238 121012 5 3 0.0042 0.0017 0.19 -2.07 D + 3/i 167 4/di] —4,/[i]

& 2/,, — 4,/, 8620.46 107054 118651 1 3 0.0096 0.0321 0.91 - 1.493 C 3n

168 4p[i] — id' [i]° 2/0— 4s ; 7162.57 107054 121012 1 3 6.0 X 10~» 0.0014 0.033 -2.85 D 3n

169 4//[i]-4,/m° 2/o — 4,/(; 8784.61 107132 118512 3 1 0.0025 9.5 X 10- 4 0.082 - 2.55 D 3/i

195
Arl. Allowed Transitions — Continued

Transition

A(A)

AcNo. £(-(('m _1

) A- /tAidO8 fik S(at.u.) cu- Source

yV-coupling Paschen

sec

-1

) racy

170 4// [i] — 4 2/^4 — 4i/:j 8490.30 107132 118907 3 5 0.0010 0.0019 0.16 -2.25 D 5/; 171 4//[f]-4</'[i]° 2pA — 45',"' 7412.33 107132 120619 3 5 0.0041 0.0057 0.42 -1.77 D + 5/i 172 4//[f]-4,/'[ir 2pA — 4s',' 7422.26 107132 120601 3 5 6.9 X 10-4 9.5 x 10-* 0.070 -2.55 D 5/; 173 vm-4f/mo

2/>:t — 4//.-, 8799.08 107290 118651 5 3 0.0048 0.0033 0.48 - 1.78 D + 5n

174 4p' [§] — 4(/[|]

c 2/>:{ — 4//

8384.73 107290 119213 5 7 0.0025 0.0036 0.50 - 1.74 D 5/i

175 4//m-4<i[iy 2/>:( 4</;i 8605.78 107290 118907 5 5 0.0108 0.0120 1.70 -1.222 C 5/i 176 4,>'m-4r/'m° 2/>:i — 4.s,"' 7425.29 107290 120754 5 7 0.0032 0.0037 0.45 -1.73 D 5/i 177 4//[f]-T/'[I]° 2/>:J — 4si' 7510.42 107290 120601 5 5 0.0047 0.0040 0.49 -1.70 D 6/i 178 4//[f]-4r/'[i]° 2//;i — 4s,' 7285.44 107290 121012 5 3 0.0013 6.0 x 10-* 0.072 -2.52 D 5/i 179 41> [ 5 ] — 4//[|]° 2/,,-4,/h 9075.42 107496 118512 3 1 0.013 0.0051 0.46 - 1.82 D 5/i

180 • 4//m-4r/[4]° 2p-> 4r/.-> 8962.19 107496 118651 3 3 0.0017 0.0020 0.18 -2.22 D + 5/i 181 4//[l]-W[f]° 2/>-» — 4r/.-{ 8761.69 107496 118907 3 5 0.0099 0.019 1.6 -1.24 D + 5/i 182 4/>' [i] — 4r/' [f ]° 2/^-4si'" 7618.33 107496 120619 3 5 0.0030 0.0044 0.33 - 1.88 D 5n 183 4//m-4,/'[f]° 2/>-2 — 4s i

7628.86 107496 120601 3 5 0.0030 0.0044 0.33 -1.88 D 5/i

184 4/>mt[f]° 2pu\ — 2s.-, 10673.6 104102 113469 3 5 0.049 0.14 15 -0.38 D- 11 185 4/>[4] -5s[f] 2/>io 2$4 10178.0 104102 113643 3 3 0.0274 0.0451 4.67 -0.87 C 9/i 186 4/di] 2/^io 2,S:( 9291.53 104102 114862 3 1 0.0366 0.0158 1.45 - 1.324 C 9/i 187 4/di]--r«'[i]° 2//i«> 2i'2 9194.64 104102 114975 3 3 0.0198 0.0251 2.28 - 1.123 C 9/i 188 4/>[t]-Ss[i]° 2//H —25.-, 12487.6 105463 113469 7 5 0.12 0.19 56 0.12 D- 9/i

189 4/>[i]-5s[i] 2// H — 2s.-, 12733.6 105617 113469 5 5 0.012 0.030 6.3 - 0.82 D 9n 190 4/di]-^m° 2pH — 2sA 12456.1 105617 113643 5 3 0.10 0.14 28 -0.15 D- 9/i 191 4/>LiJ 2/>h — 2s> 10683.4 105617 114975 5 3 0.0021 0.0022 0.39 -1.96 E 11 192 4/dil-^[f]° 2,>- -2.5-3 13543.8 106087 113469 3 5 0.0046 0.021 2.8 -1.20 E 11 193 4/>ffl-^[i]° 2p7 — 2sA 13231.4 106087 113643 3 3 0.046 0.12 16 -0.44 D- 11

194 4/di] -^di]° 2p- — 2s:i 11393.7 106087 114862 5 1 0.0249 0.0162 1.82 -1.313 C 9/i- 195 4/>[i] — 5s'[i]° 2p7 — 2s> 11248.4 106087 114975 3 3 0.0028 0.0054 0.60 -1.79 E 11 196 4/di]-«[i] 2/>«j — 25:, 13825.7 106238 113469 5 5 0.033 0.095 22 -0.32 D- 11 197 4/df]-5s[i]° 2/>« — 2sa 13499.2 106238 113643 5 3 0.027 0.045 10 - 0.65 D- 11 198 4/di] -5s' [ *]° 2/>ti ~2s> 1 1441.8 106238 114975 5 3 0.0156 0.0184 3.46 - 1.036 C 9/i

199 4/di] -5s[§]° 2/>:, — 254 15172.3 107054 113643 1 3 0.015 0.15 7.5 -0.82 D 9/i 200 4/di] —5s' [i]

9 2p:, — 2si 12621.8 107054 114975 1 3 0.0038 0.027 1.1 - 1.57 E 11 201 4//[i]-5s[i]° 2/m — 25:, 15776.6 107132 113469 3 5 5.9 x 10-4 0.0037 0.58 -1.95 E 11 202 4//[l]-5s [f]° 2/>, — 254 15353.5 107132 113643 3 3 0.0045 0.016 2.4 -1.32 E 11 203 4//[l]-5s'[i]° 2/>a — 2sa 12933.3 107132 114862 3 1 0.11 0.091 12 -0.56 D 9/i 204 o l tO

«|M 2/>a — 2s•> 12746.3 107132 114975 3 3 0.022 0.053 6.7 -0.80 D 9/i 205 4/>'[i]-5s[i]° 2p-.\ — 25:, 16180.0 107290 113469 5 5 0.0014 0.0055 1.5 - 1.56 D 9/i 206 3/>'[i]-5s[i]° 2p:i — 2sA 15734.9 107290 113643 5 3 3.3 X 10-4 7.3 x 10- 4 0.19 -2.44 D- 9/i 207 4//[i]-5s'[i]° 2pA — 2s> 13008.5 107290 114975 5 3 0.10 0.15 33 -0.12 D 9/i 208 4/>di]-55 [f]° 2p> — 2s.-, 16739.8 107496 113469 3 5 0.0035 0.024 4.0 -1.14 D- 9/i

209 4// [i] —5s [i]° 2p> — 2sA 16264.1 107496 113643 3

l 3 3.4 x lO-4 0.0013 0.22 -2.41 D- 9/i 210 4/T [i] —5s' [i]°

4/' [i] — 5s [i]°

2p> — 25.t 13573.6 107496 114862 3 1 0.051 0.047 6.3 -0.85 D- 11 211 2p> — 2s> 13367.1 107496 114975 3 3 0.034 0.090 12 -0.57 D- ] 1 212 4/> [i] —5s[f ]° 2p\ — 2sA 20317.0 108723 113643 1 3 0.0018 0.033 2.2 - 1.48 D 9/i 213 4P [i] — 5s [i]° 2pi —2s> 15989.3 108723 114975 1 3 0.021 0.24 12 -0.62 D- 9/i

214 4/di]-5</[i]° 2/>, 0 — 5</« 5650.70 104102 121794 3 1 0.0333 0.0053 0.297 - 1.80 C 5// 215 4/di] ~5</[i]° 2/>io — 5r/.-, 5606.73 104102 121933 3 3 0.0229 0.0108 0.60 - 1.489 C 5// 216 4/di]-5r/[f]° 2/>jo — 5di 5558.70 104102 122087 3 5 0.0118 0.0114 0.63 -1.466 C 5/i 217 4/di] — 5</ [f]° 2/;io— 5s7" 5152.30 104102 123506 3 5 0.0011 7.2 x lO-4 0.037 -2.67 D 5/i 218 4/di]-5</di]° 2/>io —55j' 5187.75 104102 123373 3 5 0.0138 0.0092 0.476 - 1.55 C 5/i. 6/i

219 4/dl] ~~ 5</[i ]° 2/>h — 5r/4 6032.13 105463 122036 7 9 0.0246 0.0173 2.40 -0.91 C 5/i . 6/i 220 4/di]-5f/[i]° 2/;» —5r/4 5987.30 105463 122160 7 7 0.0013 6.9 x 10-4 0.095 -2.32 D 5/i 221 4/di] — 5(/[f]° 2p» — 5r/;J 6013.68 105463 122087 7 5 0.0015 5.7 x lO-4 0.078 -2.40 D + 5/i 222 4/di]-5f/[i]° 2p<t m 5(1[' 5943.89 105463 122282 7 5 3.8 x 10-4 1.4 x 10-4 0.020 -3.01 D- 5/i 223 4/df] — 5</[f]° 2pit~ 5</| 5927.11 105463 122330 7 7 3.9 x 10-4 2.1 x 10-> 0.028 -2.83 D + 5//

196
Arl. Allowed Transitions — Continued

No.

Transition

X(A) filcm' 1 ) £V(cm_1

) A- .4a-,-< 10" sec

-1

) h S(at.u.) log/d'

Accu- racy

Source

'//-coupling Paschen

224 i/dti — 5<-/ m° 2/>a 5s ] 5540.87 105463 123506 7 5 4.3 X 10—

•

1.4 x 10- 4 0.018 - 3.01 D 5/i 225 4/di] — 5(1 [|]° 2/>» — 5s j" 5524.96 105463 123557 7 7 0.0018 8.1 x 10- 4 0.10 -2.25 D + 5/i 226 4/di]-5f/'[i]° 2//» — 5s" 5581.87 105463 123373 7 5 5.8 X 1.9 X 10- 4 0.025 -2.88 D + 5n 227 4/di]--W[i]° 2/>h — 5(/r, 6127.42 105617 121933 5 3 0.0011 3.9 x |0-4 0.039 -2.72 D + 5n 228 4/di] ~ 5</[f]° 2i>h — 5(I4 6043.22 105617 122160 5 7 0.0153 0.0117 1.17 - 1.233 C 5/i

229 4/di] -541]° 2/>h — 5d> 5916.58 105617 122514 5 3 6.1 x 10—* 1.9 x 10- 4 0.019 -3.02 D 5/i 230 4/di] — 5r/ [i]

° 2/;« — 5d/ 5999.00 105617 122282 5 5 0.0015 8.1 x 10-4 0.080 -2.39 D 5/i 231 4/di]-54i]° 2i>h — 5(I[ 5981.90 105617 122330 5 7 1.3 x 10—

•

9.8 X 10* 0.0096 -3.31 D- 5n 232 4/> [i] —5<l [|]° 2/>« — 5s'j'" 5588.72 105617 123506 5 5 0.0016 7.3 x 10- 4 0.067 -2.44 D + 5 n 233 4/di] —5d [f]° 2//* — 5si" 5572.54 105617 123557 5 7 0.0069 0.00450 0.413 - 1.65 C 5n

234 4p[i] —5r/[i]° 2/>7 — 5r/« 6364.89 106087 121794 3 1 0.0058 0.0012 0.074 -2.46 D + 5/i 235 4/di] — 5</[i]° 2// 7 — 5f/3 6309.14 106087 121933 3 3 7.9 X 10-' 4.7 X 10-4 0.029 -2.85 D 5/i 236 4/> [i] — 5r/[i]° 2//7 — 5r/;i 6248.41 106087 122087 3 5 7.1 x 10-* 6.9 x 10-4 0.043 -2.68 D 5/i 237 4/di] — 5f/[i]° 2/>7 — 5r/2 6085.86 106087 122514 3 3 9.4 X 10-* 5.2 x 10-* 0.0031 -3.81 D 611 238 4p [i] — 5r/[f]

° 2//7 — 5//i' 6173.10 106087 122282 3 5 0.0070 0.0067 0.406 - 1.70 C 5 11

239 4/di] -5rf'[i]° 2// 7 - 5s'/" 5739.52 106087 123506 3 5 0.0091 0.0075 0.43 - 1.65 D 511 240 41> [i ] — 5d Li]

° 2/>7 — 5sT 5783.54 106087 123373 3 5 8.4 X 10—

•

7.0 x 10-4 0.040 -2.68 D- 5n 241 4/di] — 5r/[i]

0 2//« — 5d5 6369.58 106238 121933 5 3 0.0044 0.0016 0.17 -2.10 D + 5/i 242 4/di] — 5r/[|]° 2//« — 5r/4 6278.65 106238 122160 5 7 2.1 x 10 4 1.7 x 10-4 0.018 -3.07 D 5 11 243 4/di]--W[i]° 2/>« — 5r/3 6307.66 106238 122087 5 5 0.0063 0.0038 0.39 - 1.73 D + 511

244 4/di]-5r/[f]° 2/>« — 5d/ 6230.93 106238 122282 5 5 1.3 x 10—4 7.6 x 10-* 0.0078 -3.42 D 611 245 4/di]-5</[i]° 2/>« — 5#/; 6212.50 106238 122330 5 7 0.0041 0.0033 0.34 - 1.78 D + 5/i 246 4/>[i] —5d' [i]° 2/>« —5s',"' 5789.48 106238 123506 5. 5 4.8 X 10—» 2.4 X 10-4 0.023 -2.92 D 5 11 247 4/di] —5r/' [§]° 2/>« — 5s/' 5772.11 106238 123557 5 7 0.0021 0.0015 0.14 -2.14 D 5n 248 4/di]-.w'[i]° 2//« — 5s/ 5834.26 106238 123373 5 5 0.0052 0.00268 0.257 - 1.88 C 511 . 6 n

249 4/d*]-.w[*]° 2/>r> — 5f/5 6719.22 107054 121933 1 3 0.0025 0.0051 0.11 -2.29 D 5n 250 4/di] — 5t/[i]° 2//s — 5//2 6466.55 107054 122514 1 3 0.0016 0.0029 0.062 -2.53 D 5/i 251 4/di]--Wdi]° 2/)-1 —5s\ 5964.48 107054 123816 1 3 8.0 X 10—1 0.0013 0.025 -2.89 D 5n 252 4p [i] — 5//[i]° 2p4 — 5(k 6818.29 107132 121794 3 1 0.0021 4.9 X 10-4 0.033 -2.83 D 5n 253 4/>'[i]-5r/[i]° 21> 4 — 5(1-r, 6754.37 107132 121933 3 3 0.0022 0.0015 0.10 -2.35 D 511

254 4//[i]-5f/[i]° 2i>4 — 5(k 6684.73 107132 122087 3 5 4.1 X 10-4 4.6 x 10-4 0.030 -2.86 D 5 n 255 0

1

5s 1 1 lO 2/>4 — 5s/" 6105.64 107132 123506 3 5 0.0126 0.0117 0.71 - 1 .455 C 5,i 256 4//[i]-5<m° 2//;! - 5r/3 6827.25 107290 121933 5

O 0.0025 0.0011 0.12 -2.28 D 5/i 257 4/> Li] — 5//[f]° 2//;t 5d

4

6722.88 107290 122160 5 7 3.3 x 10—4 3.1 x 10-4 0.035 -2.81 D 5/i 258 4// [i] — 5f/[i]° 2/>:i — 5(1-4 6756.10 107290 122087 5 5 0.0038 0.0026 0.29 -1.88 D + 5/i

259 4/>'[i]-5f/' [i]° 2,>4-

5

s/" 6165.12 107290 123506 5 5 0.00103 5.9 x 10-4 0.060 -2.53 C 5/i 260 4/>di]-5t/dil° 2/>3 — 5si" 6145.44 107290 123557 5 7 0.0079 0.0063 • 0.63 - 1.50 c 511 261 4/> Li] — 5r/ Li

J

r 2/^3 — 5s V 6215.94 107290 123373 5 5 0.0059 0.0034 0.35 - 1.77 D + 5,i 262 4// [i] — 5r/LiJ° 21>2 — 5(Ih 6992.17 107496 121794 3 1 0.0078 0.0019 0.13 -2.24 D + 511 263 4/> [i] — 5f/[i] 2/>2 — 5<7S 6925.01 107496 121933 3 3 0.0012 8.9 X 10-4 0.061 -2.57 D + 5/i

264 4/>' [i] — 5r/[i]° 2/>-> — 5(1-4 6851.88 107496 122087 3 5 7.0 x 10-* 8.2 X 10-> 0.056 -2.61 D 5 n 265 4// [i] -5r/[i]° 21)2-5(1-2 6656.88 107496 122514 3 3 3.2 x 10 4 2.1 x 10-4 0.014 -3.20 D 6/1 266 41> Li] — 5d Li]° 2/>-2 — 5si" 6244.73 107496 123506 3 5 2.1 x 10- 4 2.0 x 10-4 0.013 -3.22 D 5n 267 4//[i]-5,/di]° 2/)-2-5s'i 6296.87 107496 123373 3 5 0.0094 0.0093 0.58 - 1.55 D + 5/i

268 4/di] — 65 Li]° 2/> w — 3s 6416.31 104102 119683 3 5 0.0121 0.0124 0.79 - 1.429 C 511 269 4/di] ~6sLi]° 2/>m — 3s^ 6384.72 104102 119760 3 3 0.00439 0.00268 0.169 -2.095 C 5/i 270 4/>[i] -6s di]° 2/^0 — 3s.i 5882.62 104102 121097 3 1 0.0128 0.00221 0.129 -2.178 C 511 271 4/di] —6s' [i]° 2/> 1 0 3s2 5860.31 104102 121161 3 3 0.00285 0.00147 0.085 -2.357 C 511. 6/i 272 4/di] — 6s[i]° 2/>9 — 3s3 7030.25 105463 119683 7 5 0.0278 0.0147 2.38 -0.99 C 511

273 4/di] -6s ti ] 0 2/>k — 3s5 7107.48 105617 119683 5 5 0.0047 0.0035 0.41 - 1.75 D + 511 274 4/di] —6s [i]° 2i>h —‘3s4 7068.73 105617 119760 5 3 0.021 0.0094 1.09 - 1.33 D + 5/i 275 4/di] —6s [i]° 2/>h — 3s-2 6431.56 105617 121161 5 3 5.3 X 10-4 2.0 X 10-* 0.021 -3.00 D 5/i 276 4/di] —6s Li] 21>7 — 3s,

5

7353.18 106087 119683 3 5 0.0021 0.0028 0.21 -2.08 E 7 277 4/di] — 6sLi]° 2/> 7 — 3s4 7311.72 106087 119760 3 3 0.018 0.014 1.0 -1.37 D + 5/i

197
Arl. Allowed Transitions — Continued

Transition AcNo. A(A) Eilcm-1

) ftlcnr 1

) T( ( 10* Jik Slat.u.) •«»g zf cu- Source

sec

-1

) racy

^/-coupling Paschen

278 4i>m -6sdi]° 2/^7 3s:s 6660.68 106087 121097 3 1 0.0081 0.0018 0.12 -2.27 D 5/? 279 4i>m — 6s [i]° 2p-i — 3s2 6632.09 106087 121161 3 3 5.5 X 10-* 3.6 x 10-4 0.024 -2.97 D 5/i 280 4/di] -6s[f]° 2/>f> 355 7435.33 106238 119683 5 5 0.0094 0.0078 0.95 - 1.41 D + 5/i 281 4/di] -6s[f]° 2/m — 3s4 7392.97 106238 119760 5 3 0.0075 0.0037 0.45 - 1.73 D + 5 n 282 4/di] — 6s' [i]° 2/m — 3s2 6698.88 106238 121161 5 3 0.0017 6.8 x 10-4 0.075 -2.47 D + 5n

283 4/di] -6s[i]° 2/>.-, — 3s 4 7868.20 107054 119760 1 3 0.00365 0.0102 0.263 - 1.99 C 5/i 284 4/dil — 6s'[i]° 2/m — 3s-> 7086.70 107054 121161 1 3 0.0016 0.0036 0.083 -2.4.5 D + 5/t 285 4// [i ]

6s[i]° 2/m — 3s.-> 7965.08 107132 119683 3 5 3.4 x 10—* 5.4 x 10-4 0.042 -2.79 E 7 286 4// [i] — 6s[|]° 2/ m - 3s4 7916.45 107132 119760 3 3 0.0013 0.0012 0.093 -2.45 D + 5n 287 4/>'[i] — 6s'[il° 2/>4 — 3s.{ 7158.83 107132 121097 3 1 0.022 0.0055 0.39 - 1.78 D + 5n

288 4/> [i] —65 [i]° 2/m — 3s2 7125.83 107132 121161 3 3 0.0063 0.0048 0.34 - 1.84 D + 5/i 289 i/>'[i]-6s[f]° 2/M — 3sr, 8066.60 107290 119683 5 5 0.0015 0.0015 0.20 -2.13 D + 5/t 290 4/>'[i]-6s[f]° 2/m — 3s4 8016.74 107290 119760 5 3 4.2 x 10-5 2.4 x lO-5 0.0032 -3.92 E i 291 4// [i] — 6s [i]° 2/>;! — 3s2 7206.98 107290 121161 5 3 0.0258 0.0121 1.43 - 1.218 C 5/t 292 4//[i]-6s[i]° 2/>-2 — 3S5 8203.42 107496 119683 3 r> 0.0016 0.0027 0.22 -2.09 E 7

293 4//[i] -6s[f]° 2/m — 3s4 8151.86 107496 119760 3 3 3.3 X 10—* 3.3 x 10-4 0.026 -3.00 E 7 294 4//[i]-6sdi]° 2/M — 3s:i 7350.78 107496 121097 3 1 0.012 0.0032 0.23 - 2.02 D + 5/t 295 4// [i] 6s [i]° 2/m — 3s» 7316.01 107496 121161 3 3 0.010 0.0080 0.58 -1.62 D + 5/t 296 4/>'[i]-6s[i]° 2//, — 3s4 9057.51 108723 119760 1 3 9.7 X 10—• 0.0036 0.11 -2.44 E 7 297 4/>' [i] — 6s'[i]° 2/>i — 3s2 8037.23 108723 121161 1 3 0.00374 0.0109 0.288 - 1.96 C 5/t

298 4/di — 6//[i]° 2/; 10 6r/« 5151.39 104102 123509 3 1 0.0249 0.00330 0.168 -2.004 C 5/t 299 4/di] — 6^/[i]° 2p\o—6(h 5162.29 104102 123468 3 3 0.0198 0.0079 0.403 - 1.63 C 5/t 300 4/di] -6j\ir 2pu) —6(i.\ 5073.08 104102 1 23809 3 5 6.1 X KM 3.9 x 10-4 0.020 -2.93 D 6tt 301 4/di] — 6d' [i]° 2 />k» —6s',' 4768.68 104102 125067 3 5 0.0090 0.00.51 0.24 - 1.82 D 5/t 302 4/di] — 6</[|]° 2//<( — 6t /4 5495.87 105463 123653 7 9 0.0176 0.0102 1.30 - 1.46 C 5/t

303 4/;

rs2 - 6r/[i]° 2/>» — 6r /4 5459.65 105463 123774 7 7 4.0 x 10-*

I. 8 XIO-4 0.022 -2.90 D 5/t 304 4/'

’ 5

2 - 6r/[^]° 2/>h — 6r/J 5442.24 105463 123833 7 7 9.7 X 10-1 4.3 x 10-4 0.054 -2.52 D 6/t 305 4//

’ 5

2 - 6,/'[i]° 2/m — 6s i " 5078.03 105463 125150 7 7 4.9 x 10-* 1.9 x 10-4 0.022 - 2.88 E 6/t 306 4P

54

2 -6d[ir 2/>h — 6(Ia 5506.11 |105617 123774 5 7j 0.0037 0.0023 0.21 - 1.93 D + 5/t 307 4p 5

2 -6d[iY 2/m — 6f/" 5490.12 105617 123827 5 5 8.9 X 10-« 4.0 x 10 4 0.036 -2.70 D 6/t

308 4/>[l] 6d [1]° 2/m — 6s','" 5127.80 105617 125113 5 5 3.4 X 10—

1.3 x 1() -4 0.011 -3.19 D 5tt 309 4/di — 6d' [|]° 2/>k — 6s

'

i " 5118.21 105617 125150 5 7 0.0028 0.0015 0.13 - 2.11 D + 5/t 310 4/di' 2/> 7 — 6</;! 5641.39 106087 123809 3 5 9.1 x 10 -4 7.2 x 10 -4 0.040 -2.67 D 6/t 311 4/di] o</[i]° 2p- — 6d'l

' 5635.58 106087 123827 3 0 0.0010 7.9 x 10-4 0.044 -2.63 D 611 312 4/di] — 6r/' [f]° 2/> 7 — 6s 1 "' 5254.47 106087 125113 3 5 0.0038 0.0026 0.14 - 2.11 E 6/t

313 4/di ] — 6</[i]° 2/m — 6r /-, 5802.08 106238 123468 5 3 0.0044 0.0013 0.13 -2.18 D 5/t 314 4/dt ] — 6//[|]° 2/>« — 6</4 5700.87 106238 123774 5 7 0.0061 0.0042 0.39 - 1.68 D 5/t 315 4/di ] — 6//[f]° 2/>o — 6</]' 5683.73 106238 123827 5 5 0.0021 0.0010 0.097 -2.29 D 5/t 316 4/di ]- 6t/m° 2/m — 6</i 5681.90 106238 123833 5 7 0.0021 0.0014 0.13 -2.15 D 5/t 317 4/di] — 6f/' [f]° 2/> ); — 6s

','' 5286.07 106238 125150 5 7 0.0010 5.9 x 10 -4 0.0.51 -2.53 E 6tt

318 4/> [i] — 6d [f

]°

2/>« —6s',' 5309.52 106238 125067 5 5 0.0012 4.9 x 10-4 0.043 -2.61 E 611 319 4/di ]-6r/[i]° 2/>-> — 6d-> 6090.79 107054 123468 1 3 0.0031 0.0052 0.10 -2.28 D r>n 320 4/>di]-6./[i]° 2/m — 6f /.-, 6119.66 107132 123468 3 3 5.3 x 10-4 3.0 x 10-4 0.018 -3.05 D + 5/t 321 4//[i]-6J[|]°. 2pA — 6d:t 5994.66 107132 123809 3 5 2.7 x 10-4 2.4 x 10 4 0.014 -3.14 D 6tt 322 4// Til — 6</[f]° 2p4 — 6</',' 5988.13 107132 123827 3 5 6.4 x 10-4 5.7 x 10-4 0.034 -2.77 D- 5/t

323 4// '[i]- 6r/'[t]° 2/m — 6s',"' 5559.66 107132 125113 3 5 0.0023 0.0018 0.099 -2.27 D + 5/t 324 4//[il-6r/Til° 2/m — 6s , 5574.22 107132 125067 3 5 4.8 X 10-4 3.7 X 10 -4 0.021 -2.95 D 5/t 325 V[f]- 6//[i]°

4p [i] —6r/[|]°

2/m — 6<7.-> 6179.41 107290 123468 5 3 6.9 x 10 -4 2.4 x 10 -4 0.024 -2.92 D 5/t 326 2p:t - 6J4 6064.76 107290 123774 5

n

( 6.0 x 10 -4 4.6 x 10 -4 0.046 -2.64 D 5/t 327 4//[i]-6^[i]° 2/m — 6s',” 5597.48 107290 125150 5 7 0.0044 0.0029 0.27 -1.84 E 6/1

328 4//[i]-6rf'[i]° 2/m -6s," 5623.78 107290 125067 5 5 0.0015 7.1 x 10 -4 0.066 -2.45 D- 5/t 329 4/>' [i] — 6r/[i]° 2p> — 6dti 6243.40 107496 123509 3 1 0.0014 2.6 X 10 -4 0.016 -3.10 D 5/t 330 4/>' [i] — 6(/[f ]° 2p>—6d-.i 6128.73 107496 123809 3 5 9.0 X 10 -4 8.4 x 10 -4 0.051 -2.60 D 6 /t 331 4/> [i] — 6(/[f]° 2/m—6<7," 6121.86 107496 123827 3 5 1.4 x 10 -4 1.3 x 10 -4 0.0079 -3.41 D 6n 332 4/>

' [i ] 6r/ [i ] 0 2/>, —6r/.-> 6779.93 108723 123468 1 3 0.00126 0.00261 0.058 -2.58 C 6/t

198
Arl. Allowed Transitions — Continued

No.

Transition

mA) £/(cm_l

) Ek-(cm~ l

) 4*,

(

10" sec-1

)

fik S(at.u.) l‘>g gf

Accu- racy

Source

//-coupling Paschen

333 4/Ti]-75[f]° 2/>u> —45.-, 5451.65 104102 122440 3 5 0.0049 0.0036 0.20 -1.96 D + 5n 334 4p[i]-74 [f]° 2pU) —45-i 5439.99 104102 122479 3 3 0.0020 8.7 x 10-4 0.047 -2.58 D + 5n

335 4P [ij —75' [ij° 2pU) — 4s:{ 5056.53 104102 123873 3 1 0.0059 7.5 x 10 -4 0.038 -2.65 D 5n 336 4/di] —Is' [ 5]

0 2/>|(| — 452 5054.18 104102 123882 3 3 0.0047 0.0018 0.089 -2.27 D 5 n 337 4/>[t]-7s[i]° 2p\» —4s.-, 5888.58 105463 122440 7 5 0.0134 0.00498 0.68 -1.458 C 5n

338 4/>[f]-7s[i]° 2ps — 45.-, 5942.67 105617 122440 5 5 0.0019 9.8 x 10-4 0.096 -2.31 D 5n 339 4p [f] — Is [f]° 2pH —

4

s4 5928.81 105617 122479 5 3 0.011 0.0034 0.33 -1.77 D + 5 n 340 4/di] — is [i]° 2pn 452 5473.46 105617 123882 5 3 0.0021 5.7 x 10 -4 0.052 -2.55 D 5n

341 4/Tf]-75[|]° 2p7 —4s5 6113.46 106087 122440 3 5 4.9 X 10-4 4.6 x 10 -4 0.028 - 2.86 D + 5n

342 4p[t]-7s[f]° 2p7 —454 6098.81 106087 122479 3 3 0.0054 0.0030 0.18 -2.05 D + 5n

343 4p[i]-7s'[i]° 2/>7 —45:j 5620.92 106087 123873 3 1 0.0038 6.0 x 10 -4 0.033 -2.74 D 5 n 344 4/di] — 7s' [i ] 0 2p7 —4s2 5618.01 106087 123882 3 3 0.0022 0.0010 0.057 -2.51 D 5 n 345 4p \¥\ — 7s[i]° 2/;« —4s.-, 6170.17 106238 122440 5 5 0.0052 0.00297 0.301 -1.83 C 5n 346 4p [i ] ~ 7s[f]° 2p(i — 4s4 6155.24 106238 122479 5 3 0.0053 0.0018 0.18 -2.04 D 5 n 347 4p[*]-75 Lf]° 2

4

s4 6481.14 107054 122479 1 3 9.8 x 10 -4 0.0019 0.040 -2.72 D 5n

348 4/di] — 7s [i]° 2/>d —4s2 5940.86 107054 123882 1 3 0.0012 0.0019 0.037 -2.72 D 5n 349 4//[i]-75[|]° 2/;4 — 454 6513.85 107132 122479 3 3 5.6 X 10-4 3.6 x 10-4 0.023 -2.97 D 6n 350 4p'

[1 ] —Is [i]° 2/>4 — 4s:t 5971.60 107132 123873 3 1 0.011 0.0020 0.12 - 2.22 D + 5n

351 4//[f]-75'[i]° 2/>4 —452 5968.32 107132 123882 3 3 0.0019 9.9 x 10 -4 0.058 -2.53 D 5n 352 4p'[f]-75[i]° 2 p* —45.-, 6598.68 107290 122440 5 5 3.8 X 10-4 2.5 X 10 -4 0.027 -2.90 D 6n

353 4//[fl-75'[|]° 2/>.j —45> 6025.15 107290 123882 5 3 0.0094 0.0031 0.30 -1.81 D + 5n 354 4//m-75'[i]° 2p-> — 45:) 6104.58 107496 123873 3 1 0.0035 6.6 X 10 -4 0.040 -2.70 D 5n

355 4//m-75'm° 2p> —452 6101.16 107496 123882 3 3 0.0034 0.0019 0.12 -2.24 D + 5 n

356 4p[i]-7rf[i]° 2pu) 7(/« 4894.69 104102 124527 3 1 0.019 0.0023 0.11 -2.16 D 5 n 357 4p[i]-7rf[i]° 2/> 1

0

7<i; 4887.95 104102 124555 3 3 0.014 0.0049 0.24 -1.84 D 5 rt 358 4p[i]-7rfR]° 2/nn 7 (/) 4876.26 104102 124604 3 5 0.0081 0.0048 0.23 -1.84 D 5n 359 4/di] — 7d' [|]° 2pio— 7s” 4554.32 104102 126053 3 5 4.0 x 10 -4 2.1 X 10-4 0.0093 -3.20 E 6 n 360 rc|cn T^4 0 2/>9 — 7r/4 5221.27 105463 124610 7 9 0.0092 0.0048 0.58 - 1.47 D 6n

361 4/di] — 7r/[|]° 2pit—7(U 5210.49 105463 124650 7 7 0.0011 4.6 x 10-4 0.055 -2.50 D- 6n 362 4p [1] 7 r/ [§]

0 2p$ — ld\ 5192.72 105463 124715 7 7 1.3 X 10-4 5.3 X 10-5 0.0063 -3.43 D- 5 n 363 4/> [f] 7(/[f]° 2pH — 7(l4 5252.79 105617 124650 5 7 0.0056 0.0032 0.28 - 1.79 D- 6n 364 4/dnl7r/[f]° 2pH — 7(1-2 5214.77 105617 124788 5 3 0.0022 5.3 x lO -4 0.046 -2.58 D- bn

365 4p [f] — 7</[f ]° 2pH -7d'; 5241.09 105617 124692 5 5 0.0014 5.6 x 10-4 0.049 -2.55 D- 6n

366 4p [i] — 7(/[f]° 2p--7d'[ 5373.50 106087 124692 3 5 0.0028 0.0020 0.11 - 2.22 D- 6n 367 4/di] — 7u

, [f]° 2pfi — 7d\ 5410.48 106238 124715 5 7 0.0021 0.0013 0.12 -2.19 D- bn

368 4/> [i] — 7r/[i]° 2ps -7d* 5712.51 107054 124555 1 3 9.1 X 10-4 0.0013 0.025 -2.89 D- bn

369 4p[±]-7rf[i]° 2/>5 — 7(1-2 5637.33 107054 124788 1 3 9.5 x 10-4 0.0014 0.025 -2.85 D- bn

370 4p' [i] — 7</[i]° 2p3 — 7da 5790.40 107290 124555 5 3 3.5 x 10-4 1.1 x 10-4 0.010 -3.26 D 5n

371 4//[i]-7f/[i]° 2pa- 7d-2 5773.99 107290 124604 5 5 0.0011 5.5 x 10 -4 0.053 -2.56 D 5n 372 4//[l]-7r/'[|]° 2p:i — 7s'l " 5317.73 107290 126090 5 7 0.0027 0.0016 0.14 -2.09 E bn

373 4//[i]-7r/[i]° 2p-2~ 7(l.\ 5843.77 107496 124604 3 5 3.4 X 10-4 2.9 x 10-4 0.017 -3.06 D bn

374 4p[il-8s[i]° 2/no— 55s 5048.81 104102 123903 3 5 0.0048 0.0031 0.15 -2.04 D bn

375 4/> [i] —8s[f]° 2/; h — 553 5421.35 105463 123903 7 5 0.0062 0.0020 0.24 - 1.86 D bn

376 4/df] — 8s[f]° 2p« — 5s5 5467.16 105617 123903 5 5 7.9 X 10 -4 3.5 x 10 -4 0.032 -2.76 D bn

377 4/di] — 8s[f]° 2/> h — 554 5457.42 105617 123936 5 3 0.0037 9.9 x 10-4 0.089 -2.31 D bn

378 4/di]-85'm° 2p7 — 5sa 5194.02 106087 125335 3 1 0.0081 0.0011 0.056 -2.49 D bn

379 4/dfl-85[fl

0 2/>h — 5.s' 5 5659.13 106238 123903 5 5 0.0027 0.0013 0.12 -2.19 D bn

380 4/dfl-85m° 2/>« — 554 5648.69 106238 123936 5 3 0.0013 3.8 x 10-4 0.035 -2.73 D bn

381 4//[f]-85[f]° 2/>4 — 5s4 5949.26 107132 123936 3 3 0.0016 8.4 x 10 -4 0.049 -2.60 D bn

382 4// [i] — 85 ' [i]° 2/>4 — 55:5 5492.09 107132 125335 3 1 0.0058 8.7 x 10-4 0.047 -2.58 E bn

383 4// [1] — 8s[f]° 2p-2 — 554 6005.73 107290 123936 5 3 0.0015 4.7 x 10-4 0.047 -2.63 D + bn

384 4/>' [i] — 85 ' [i]° 2p:i — 552 5534.49 107290 125353 5 3 0.0028 7.7 x 10 -4 0.070 -2.42 D + bn

385 4p [i] — 8s[f]° 2/>2 — 554 6081.25 107496 123936 3 3 7.8 x 10-4 4.3 x 10 -4 0.026 -2.89 D bn

199
Arl. Allowed Transitions — Continued

Transition

\(A)

AcNo. fit cm-1

) E/cirr 1 ) & ffk 4 a, < 10* Jik S(at.u.) log// cu- Source

.//-coupling Paschen

sec

-1

) racy

386 4/>m-8r/m° 2/>u) — 8(Ik 4746.82 104102 125163 3 1 0.0037 4.2 x 10-4 0.020 -2.90 E 6/) 387 4/> [i ] 8a/[|]° 2/>io — 8f/s 4752.94 104102 125136 3 3 0.0047 0.0016 0.075 -2.32 E 6/; 388 4/dt]-8cliir 2p4 — 8il'i 5060.08 105463 125220 7 9 0.0039 0.0019 0.22 -1.87 E 6n 389 t/di] — 8f/[J]° 2/>h -8(U 5087.09 105617 125270 5 7 0.0017 9.4 x 10- 4 0.079 -2.33 E 6n 390 4/> [f ] — 8^/[i]° 2/>« — 8r/5 5290.00 106238 125136 5 3 9.4 X 10—1 2.4 x 10~* 0.021 -2.92 E bn

391 4/df]-8r/[f]° 2/>« — 8r/:} 5249.20 106238 125283 5 5 8.2 X 10 ~ 4 3.4 x 10-4 0.029 -2.77 E bn

392 4/>[f]8,/[f]° 2/>« — 8r/

5246.24 106238 125294 5 7 0.0012 6.6 x 10-4 0.057 -2.48 E bn

393 4/dil-8f/[i] 0 2/>5 - 8r/, 5528.97 107054 125136 1 3 0.0012 0.0017 0.031 -2.77 E bn

394 o

Hn W|M 1 CO 2p4 - 8J, 5552.77 107132 125136 3 3 8.2 x 10-* 3.8 x 10- 4 0.021 -2.94 E bn

395 4p[i]-95 [i]

& 2pn> —65.-, 4836.70 104102 124772 3 5 0.00106 6 . 2 X 10-4 0.0296 -2.73 C bn

396 4/Tf]-95[f]° 2p» —653 5177.54 105463 124772 7 5 0.0025 7.3 x 10-4 0.087 -2.29 D 5n

397 4/df]-95 [fl° 2/>h — 654 5216.28 105617 124783 5 3 0.0014 3.4 x 10 -4 0.029 -2.77 D- bn

398 4pm -Mir 2/>b 65.3 5393.27 106238 124772 5 5 0.0010 4.5 X 10-4 0.040 -2.65 D- bn

399 4/>m-94i]° 2/):, — 654 5639.12 107054 124783 1 3 0.0022 0.0031 0.058 -2.50 D- bn

400 4pm-wm° 2p,„-9r/, 4647.49 104102 125613 3 3 0.0013 4.2 x 10-4 0.020 -2.90 E bn

401 4pm-9r/[i]° 2/>i„ — 9r/:t 4642.15 104102 125638 3 5 0.0010 5.4 x 10 - 4 0.025 -2.79 E bn

402 4p[f]-W[l]° 2/>i, — 9(l'A 4956.75 105463 125632 7 9 0.0019 9.0 x 10 - 4 0.10 - 2.20 E bn

403 4p[f]-M!l° 2/>h —9c/4 4989.95 105617 125652 5 7 0.0011 5.6 x 10-4 0.046 -2.55 E bn

404 4pg]-wm° 2p--9r/'I 5104.74 106087 125672 3 5 9.1 x 10~ 4 5.9 x 10 -4 0.030 -2.75 E bn

405 4pm-i05m o 2p>| — 7s.3 5032.03 105463 125330 7 5 8.5 x 10

- 4 2.3 X 10-* 0.027 -2.79 E bn

406 4/di] — 10s[i]° 2/> x — 754 5070.99 105617 125332 5 3 0.0027 6.3 x 10~> 0.053 -2.50 E bn

407 4/>m-ior/m° 2pni — 4587.21 104102 125896 3 1 0.0051 5.4 x 10-4 0.024 -2.79 E bn

1 0f/(j 408 4/>[i]-HW[i]° 2/Po — 4586.61 104102 125899 3 3 0.0024 7.6 x 10-4 0.034 -2.64 E bn

1 Or/3 409 4p [i] ~ 10r/[i]° 2pi„ — 4584.96 104102 125907 3 5 0.0017 8.9 x 10-4 0.040 -2.57 E bn

10r/, 410 4/di] — 10</[|]° 2/h — 4886.29 105463 125923 7 9 0.0012 5.5 x 10-4 0.062 -2.42 E bn

1 Or/4 411 4/di] — 10f/[|]° 2/>3 - 4921.04 105617 125933 5 7 6.1 X 10- 4 3.1 x 10-4 0.025 -2.81 E bn

10r/4

412 4/>[i]-ll5[i]° Kj 'l 02On 4937.72 105463 125709 7 5 3.8 x 10- 4 9.9 x 10-> 0.011 -3.16 E bn

413 4puj-i^/m° 2/> 1

— 4544.75 104102 126099 3 3 8.6 x 10"4 2.7 x 10-4 0.012 -3.09 E bn

lid-,

414 lrt|M T o 2/>i,— 4835.97 105463 126135 7 9 9.7 x 10-4 4.4 x 10-4 0.049 -2.51 E bn

lh/4

415 4/di] 1 2 r/ [2 ] ° 2/>«, — 4798.74 105463 126296 7 9 9.2 X 10-4 4.1 x 10-4 0.045 -2.54 E bn

12r/4

416 •^[i]°-4/m 253 -4X 14876.6 113469 120188 5 8 6.0 x 10-4 0.0032 0.77 -1.80 D- 9n 417 fc[i]°-4/[i] 25.3 -4Y 14786.3 113469 120230 5 12 0.0021 0.017 4.1 -1.07 D 9n

200
Aril

Ground State ls*2s22p63s*3p 5 *PS/2

Ionization Potential 27.63 eV = 222848.2 cm"1

Allowed Transitions

List of tabulated lines:

Wavelength [A | No. Wavelength [A] No. Wavelength [A] No.

718.091 3 3476.75 34 3765.27 63

723.361 3 3487.32 38 3770.52 63

725.550 3 3491.24 34 3780.84 37

730.929 3 3491.54 34 3786.38 6

737.457 2 3499.48 8 3796.60 61

740.270 2 3509.78 34 3799.38 37

745.323 2 3514.39 34 3803.17 61

748.198 2 3517.89 8 3808.58 6

919.782 1 3520.00 38 3809.46 63

932.053 1 3521.26 38 3819.02 60

3000.44 44 3535.32 34 3825.68 60

3028.91 50 3545.60 45 3826.81 37

3093.40 50 3545.84 55 3830.39 6

3139.02 36 3548.52 38 3841.52 37

3161.37 54 3550.03 43 3844.57 23

3169.67 36 3559.51 45 3844.74 37

3181.04 36 3561.03 55 3845.41 21

3194.23 35 3562.19 55 3850.58 22

3204.32 46 3565.03 39 3855.16 47

3212.52 36 3576.61 38 3868.52 52

3225.97 35 3581.61 38 3872.14 37

3236.81 49 3582.36 38 3875.26 5 3243.69 36 3588.45 38 3880.34 37

3249.80 36 3600.22 58 3891.40 5 3263.57 35 3603.46 39 3891.98 5

3273.32 46 3622.14 63 3900.62 37

3281.70 36 3639.83 59 3911.57 37

3293.64 49 3650.89 64 3914.77 5

3307.23 49 3655.28 48 3922.36 23

3350.93 57 3656.05 42 3925.72 73

3361.75 57 3669.61 63 3928.63 22

3365.54 57 3671.01 58 3931.24 5 3366.59 49 3678.27 63 3932.55 52

3370.93 39 3680.06 59 3944.27 5 3376.44 57 3706.94 7 3946.10 73

3379.46 40 3709.92 42 3952.73 51

3388.53 53 3714.74 6 3958.38 41

3397.90 40 3717.17 42 3968.36 5 3414.46 56 3718.21 62 3974.48 21 3421.62 39 3720.43 63 3974.75 20

3429.62 56 3724.52 62 3979.36 52

3430.42 40 3729.31 22 3988.16 41 3432.59 56 3737.89 62 3992.05 5 3454.10 34 3750.49 6 3994.79 33

3464.13 45 3763.50 37 4011.20 66

201
Aril. Allowed Transitions —Continued

Wavelength [A) No. Wavelength [A] No. Wavelength [A] No.

4013.86 5 4370.75 17 5017.63 25

4033.82 65 4371.33 4 5062.04 18

4035.46 32 4375.95 29 5141.79 16 4038.81 5 4379.67 19 5145.32 25

4042.90 32 4383.75 28 5215.11 25

4052.92 33 4400.10 4 5286.90 25

4057.67 21 4400.99 4 5724.33 24

4060.6 21 4420.91 4 5843.78 24

4065.11 41 4426.01 19 5950.91 24

4072.01 32 4430.19 19 6077.43 24

4076.64 65 4431.00 4 6103.55 13

4076.94 68 4448.88 75 6138.66 10

4079.58 32 4460.56 4 6212 24

4082.39 20 4481.81 17 6243.13 10

4103.91 65 4535.49 72 6399.22 10

4103.91 68 4545.05 27 6483.08 13

4112.82 20 4547.76 69 6638.23 9

4131.73 31 4564.42 71 6639.74 9

4147.38 21 4579.35 29 6643.72 9

4156.09 65 4587.90 28 6666.36 12

4178.37 19 4589.90 30 6684.31 9

4179.30 65 4609.56 30 6756.55 9

4201.97 20 4637.25 30 6808.53 11 4218.67 68 4657.89 27 6861.27 12 4222.64 70 4721.59 71 6863.54 9

4226.99 74 4726.86 26 6886.62 9

4228.16 20 4735.91 18

4237.22 31 4764.86 27

4255.60 67 4806.02 18 4266.53 19 4847.82 18

4275.16 70 4865.92 71 4277.52 31 4879.86 26

4282.90 19 4889.03 27

4300.65 15 4904.75 14

4331.20 19 4933.21 18

4332.03 4 4952.92 25

4337.07 74 4965.07 26

4348.06 19 4972.16 18

4352.20 4 5009.33 18

4362.07 17 5017.16 16

For some vacuum uv lines of this spectrum we could utilize the radiative lifetime measurements

of Lawrence [1], based on the delayed-eoineidence technique, and the intermediate-coupling

calculations of Statz et al. [2], based on Hartree-Fock wavefunctions in the radial integral. In the visible region, many experimental and theoretical determinations of transition probabilities have been carried out. As a common absolute basis for much of our tabulated data in this

region, we have chosen the accurate lifetime determinations of the 4/; levels by Bennett et al. [7 1

This experiment is considered the most advanced of the three recent lifetime measurements

(Bakos et al. [8| and Matilsky and Hesser [9)) since, in contrast to the others, it completely eliminates

cascading effects by using electron excitation of the atomic states at the corresponding threshold

energies.
Of the other experiments which provide many individual transition probabilities, we have

adopted the recent wall-stabilized arc measurements of Shumaker and Popenoe [3| and Schnapauff

[5]. (Schnapauff has also employed in some cases a hollow cathode as a light source.) Shumaker

and Popenoe’s values have been chosen, where available, in preference to those of Schnapauff

(with whom they are normally in good agreement), because they employ more advanced data

processing and evaluating techniques. The expected increased precision appears to be reflected

in their results which provide a better fulfillment of the 7-file sum rule for the 4s — 4p array and

exhibit the apparent slow variation of the radial transition integral in this array. Shumaker and

Popenoe’s values are also in better agreement with the theoretical calculations described below

and their’ measured absolute scale is very close (within about 10%) to our adopted scale provided

by the lifetime measurements of Bennett et al. [7]. However, as a single exception, values for the

4s 4 P —

4

/j 4 S

& multiple! do not satisfy the 7-file sum rule very well and, consequently, we have

reduced our accuracy-estimates for these lines.

For many other lines of moderate strength in the visible where no reliable measurements are

available, we have applied the intermediate-coupling calculations of Statz et al. [2), described

above, as well as those of Rudko and Tang [4] and Garstang [6], Both the results of Statz et al., and Garstang have been placed on the absolute scale described above. Finally, it should be mentioned that the Coulomb approximation is expected to provide a fairly reliable radial transition

integral for many other lines, but since the individual line strengths probably would be unreliable

due to the suspected breakdown of LS-coupling, we have refrained from tabulating these.

References

[1| Lawrence, G. M., Twentieth Gaseous Electronics Conference, San Francisco (1967) (to be published).

[2| Statz, H., Horrifian, F. A., Koozekanani, S. H., Tan<t, C. L., and Foster, G. F., J. App. Physics 36, 2278-2286 (1965); and Foster, G. F., Statz, H., and Tan<t, C.. L., J. App. Physics 39, 4045-4046 (1968).

[31 Shumaker, J. B., Jr., and Popenoe, C. H., J. Opt. Soc. Am. 59 (1969) (to be published).

[4| Rudko, R. I., and Tan", C. L., J. App. Physics 3j8, 4731-4739 (1967); and 39, 4046 (1968); and Marantz, H., thesis Cornell U niversity.

[5 1 Schnapauff, R., Z. Astrophys. 68, 431-444 (1968).

[6| Garstan*:, R. H., Monthly Notices Roy. Astron. Soc. 114, 118-133 (1954).

[7| Bennett, W. R., Jr., Findlmann, P. J., and Mercer, G. N., Applied Optics Supplement 2 of Chemical Lasers 34-57 (1965).

[8| Bakos, J., Szi"eti, J., and Varjra, L., Phys. Letters 20 , 503-504 (1966).

[9| Matilsky, T. A., and Hesser, J. E„ J. Opt. Soc. Am. 59 , 579-582 (1969).

Ar H. Allowed Transitions

No. Transition

Array

Multiplet A(A) Ej( cm-1

) £i-(cm“‘) zb'/do* sec

-1

)

fik S(at.u.) log gf Accuracy

Source

1 3s23/>5 — 3s3/r6 o jof) 923.84 477 108721 6 2 2.08 0.0089 0.162 -1.272 C 1 (1 uv)

919.782 0 108721 4 2 1.41 0.0089 0.108 -1.449 C Is 932.053 1431 108721 2 2 0.67 0.0088 0.054 - 1.75 C Is

2 3/F' — 3/>4

( 3 P)4s 2po _ 4 p

(3 uv)

748.198 1431 135086 2 4 0.059 9.9 X 10-4 0.0049 -2.70 E 2 740.270 0 135086 4 4 0.31 0.0025 0.025 -2.00 E 2 745.323 1431 135602 2 2 0.073 6.1 x 10-4 0.0030 -2.91 E 2 737.457 0 135602 4 2 0.038 1.5 x 10-4 0.0015 -3.22 E 2

3 >po_2p 724.09 477 138582 6 6 28 0.22 3.1 0.12 D 9

(4 uv)

723.361 0 138244 4 4 23 0.18 1.7 -0.14 D 2 725.550 1431 139258 2 2 19 0.15 0.72 -0.52 D 2 718.091 0 139258 4 2 9.5 0.037 0.35 -0.83 D 2 730.929 1431 138244 2 4 4.5 0.072 0.35 -0.84 D 2

^ , 203

308-022 0-69—16
Aril. Allowed Transitions — Continued

No. Transition Multiplet x(A> E,( cm-1

) £i(cm_l

) 4/,;(10* U S(at.u.) log £/' Accu- Source

Array sec

-1

) racy

4 ip4id— 4 D — 4 P° 4388.2 132475 155257 20 12 0.440 0.076 22.0 0.182 C 3// 3/>4

( 3 P)4/> (1) 4400.99 132327 155043 8 6 0.322 0.070 8.1 -0.252 C in

4371.33 132481 155351 6 4 0.233 0.0445 3.84 -0.57 c 3n

4332.03 132631 155708 4 2 0.20 0.028 1.6 -0.95 c- in

4431.00 132481 155043 6 6 0.110 0.0324 2.83 -0.71 c in

4400.10 132631 155351 4 4 0.164 0.0476 2.76 -0.72 c in

4352.20 132738 155708 2 2 0.228 0.065 1.85 -0.89 c in

4460.56 132631 155043 4 6 0.0156 0.0070 0.410 - 1.55 c 3n 4420.91 132738 155351 2 4 0.033 0.019 0.56 - 1.42 c- in

5

4 D — 4 D° 3967.6 132475 157672 20 20 0.115 0.0272 7.1 -0.264 c in

(2) 4013.86 132327 157234 8 8 0.107 0.0258 2.73 -0.69 c in

3968.36 132481 157673 6 6 0.0467 0.0110 0.86 -1.180 c in

3914.77 132631 158168 4 4 0.0320 0.0074 0.379 - 1.53 c in

3891.40 132738 158428 2 2 0.039 0.0089 0.23 -1.75 c- in

3944.27 132327 157673 8 6 0.0403 0.0070 0.73 - 1.252 c in

3891.98 132481 158168 6 4 0.073 0.011 0.85 - 1.18 c- in

3875.26 132631 158428 4 2 0.076 0.0086 0.44 - 1.46 c- in

4038.81 132481 157234 6 8 0.0127 0.00414 0.330 -1.60 c in

3992.05 132631 157673 4 6 0.0153 0.0055 0.288 - 1.66 c in

3931.24 132738 158168 2 4 0.020 0.0093 0.24 -1.73 c- in

6

4 D — -D°

(3) 3786.38 132327 158730 8 6 0.012 0.0019 0.19 - 1.82 c- in

3714.74 132481 159393 6 4 0.0065 9.0 x 10-4 0.066 -2.27 D- 4

3808.58 132481 158730 6 6 0.0073 0.0016 0.12 -2.02 c- 3 n 3830.39 132631 158730 4 6 0.0062 0.0020 0.10 -2.10 D- 4

3750.49 132738 159393 2 4 0.0027 0.0011 0.028 -2.66 D- 4

7

4 D_ >p°

(4) 3706.94 132738 159706 2 2 0.0070 0.0014 0.035 -2.55 D- 4

8

4 D — 4 S°

(5) 3499.48 132481 161049 6 4 0.0053 6.5 X 10-4 0.045 -2.41 D- 4

3517.89 132631 161049 4 4 0.0020 3.7 x 10-4 0.017 -2.83 D- 4

9

u 1 a

o

(20)

6643.72 142186 157234 10 8 0.167 0.088 19.3 -0.056 C in

6684.31 142717 157673 8 6 0.113 0.057 10.0 -0.341 c in

6638.23 143108 158168 6 4 0.129 0.057 7.4 -0.466 c in

6639.74 143371 158428 4 2 0.181 0.060 5.2 -0.62 c in

6886.62 142717 157234 8 8 0.0098 0.0070 1.26 - 1.252 c in

6863.54 143108 157673 6 6 0.0218 0.0154 2.09 -1.034 c in

6756.55 143371 158168 4 4 0.0091 0.0062 0.55 -1.61 c- in

10 4 F--D°

(21)

6243.13 142717 158730 8 6 0.029 0.013 2.1 -0.98 c- in

6138.66 143108 159393 6 4 0.010 0.0038 0.46 - 1.64 c- in

6399.22 143108 158730 6 6 0.0055 0.0034 0.43 -1.69 c- in

11 -P — -D°

(24)

6808.53 144710 159393 2 4 0.0064 0.0089 0.40 - 1.75 c- in

12 ,p _ ,po

(25)

6861.27 145669 160239 4 4 0.0242 0.0171 1.54 -1.165 c in

6666.36 144710 159706 2 2 0.071 0.047 2.1 -1.03 c- in

204
Aril. Allowed Transitions — Continued

No. Transition Multiplet A(A) filcnr 1 ) Ek( cm-1

) Pi 4(10" Jik S(at.u.) log A/ \ccu- Source

Array sec

-1

) racy

13 2 P — "S° 635/.

5

145849 161089 6 2 0.118 0.0238 2.99 -0.85 C 3n

(27)

6483.08 145669 161089 4 2 0.101 0.0318 2.72 -0.90 c 3n 6103.55 144710 161089 2 2 0.012 0.0067 0.27 -1.87 c- 3n

14- 3// 4

( 3 P)3//- -F--F°

3//4 ('D)4//' (34)

4904.75 150148 1 70530 6 8 0.045 0.022 2.1 -0.88 D 5n

IS 2 F — 2 D°

(36)

4300.65 150148 1 73393 6 6 0.061 0.017 1.4 -0.99 D 5/i

16

O

u, 1 CM Q

CM

(37)

5141.79 151087 1 70530 6 8 0.095 0.050 5.1 -0.52 C 5n 5017.16 150475 170401 4 6 0.231 0.131 8.6 -0.281 c 3/?

1.7 -D_ 2 D°

(39)

4481.81 151087 1 73393 6 6 0.494 0.149 13.2 -0.049 c 5/i 4370.75 150475 1 73348 4 4 0.65 0.186 10.7 -0.128 c 3// 4362.07 150475 1 73393 4 6 0.057 0.024 1.4 - 1.02 D 5/i

18 3//4 4s — 4P_4P° 4875.0 184 750 155257 12 12 0.93 0.332 64 0.60 C 3n

3//4

(

:i P)4// (6) 4806.02 134242 155043 6 6 0.79 0.274 26.0 0.216 c + 3/) 4933.21 135086 155354 4 4 0.143 0.052 3.39 -0.68 c + 3/i 4972.16 135602 155708 2 2 0.096 0.0356 1.16 -1.148 c 3// 4735.91 134242 155354 6 4 0.58 0.130 12.2 -0.108 c 3/? 4847.82 135086 155708 4 2 0.85 0.150 9.6 -0.222 c 3// 5009.33 135086 155043 4 6 0.147 0.083 5.5 -0.479 c 3// 5062.04 135602 155354 2 4 0.221 0.170 5.7 -0.469 c + 3//

19 4- *3 1 •U o

o 4861.4 184750 157672 12 20 1.14 0.54 93 0.81 c 3/i (7) 4348.06 134242 157234 6 8 1.24 0.469 40.2 0.449 c 3 /; 4426.01 135086 157673 4 6 0.83 0.366 21.3 0.166 c 3/i 4430.19 135602 1.58168 2 4 0.53 0.312 9.1 -0.205 c 3/i 4266.53 134242 157673 6 6 0.156 0.0426 3.59 -0.59 c 3 n 4331.20 135086 158168 4 4 0.56 0.158 9.0 -0.199 c 3n 4379.67 135602 158428 2 2 1.04 0.299 8.6 -0.233 c 3/i 4178.37 134242 158168 6 4 0.013 0.0023 0.19 -1.86 c- 3/i 4282.90 135086 158428 4 2 0.120 0.0165 0.93 - 1.180 c 3//

20 4 P — 2 D° '

r

(8) 4082.39 134242 158730 6 6 0.027 0.0067 0.54 -1.40 c- 3/? 4112.82 135086 159393 4 4 0.0082 0.0021 0.11 -2.08 c- 3/i 3974.75 134242 159393 6 4 0.0041 6.5 x 10-4 0.051 -2.41 D- 4

4228.16 135086 158730 4 6 0.130 0.052 2.91 -0.68 c 3/i 4201.97 135602 159393 2 4 0.035 0.019 0.51 -1.42 D- 4

21 4P_2p°

(9) 3974.48 135086 160239 4 4 0.0068 0.0016 o:o84 -2.19 D- 4

4147.38 135602 159706 2 2 1.8 x 1()- 4 4.6 x 10-5 0.0013 -4.04 E 2n 3845.41 134242 160239 6 4 0.0091 0.0013 0.10 -2.11 D- 4

[4060.6] 135086 158706 4 2 3.2 X 10-- 4.0 x l()-« 2.1 x l()—« -4.80 E 2n 4057.67 135602 160239 2 4 0.0038 0.0019 0.050 -2.42 E 2 n

22 4 P — 4 S° 8801.4 184750 161049 12 4 1.4 0.10 15 0.08 D 3n

(10)

3729.31 134242 161049 6 4 0.60 0.083 6.1 -0.30 D 3/i 3850.58 135086 161049 4 4 0.47 0.10 5.3 -0.40 D 3/i 3928.63 135602 161049 2 4 0.30 0.14 3.6 -0.55 D 3/i

205
Aril. Allowed Transitions — Continued

No. Transition Multiplet aiA) filcnr 1 ) ^•(cm- 1

) £a* .^•,•< 10* fik S(at.u.) •<>g gf Accu- Source

Array sec

-1

) racy

23 4 P- 2 S°

( 11 ) 3844.57 135086 161089 4 2 0.0071 7.9 x 10-4 0.040 - 2.50 E 2/i 3922.36 135602 161089 2 2 0.0019 4.4 x 10-4 0.011 - 3.06 E 2/f

24 -P- 4 P°

( 12 ) 5843.78 138244 155351 4 4 3.8 x 10-4 1.9 x 10“ 4 0.015 - 3.12 E 2/? 6077.43 139258 155708 2 2 9.8 X 10-4 5.4 x 10-4 0.022 - 2.97 E 2 n 5724.33 138244 155708 4 2 0.0014 3.4 x 10-4 0.026 - 2.87 E 2 n 5950.91 138244 155043 4 6 7.0 X 10-4 5.6 x 10-4 0.044 - 2.65 E 2/i 6212 139258 155351 2 4 2.1 x 10-5 2.4 x 10-S 9.9 X 1()-4 - 4.32 E 2/?

25 2 P — 4 D°

( 13 ) 5145.32 138244 157673 4 6 0.097 0.058 3.91 - 0.63 C 3// 5286.90 139258 158168 2 4 0.0156 0.0131 0.455 - 1.58 c 3// 5017.63 138244 158168 4 4 0.0085 0.0032 0.21 - 1.89 c- 3// 5215.11 139258 158428 2 2 1 .6 x 10 4 6.5 x 10-5 0.0022 - 3.89 E 2n 4952.92 138244 158428 4 2 3.2 x 10-5 5.9 X 10-« 3.8 X 10-4 - 4.63 E 2 n

26 2 P- 2 D° 4897.5 188582 158995 6 10 0.79 0.471 45.6 0.451 C 3//

( 14 ) 4879.86 138244 158730 4 6 0.78 0.418 26.8 0.223 C 3// 4965.07 139258 159393 2 4 0.347 0.256 8.4 - 0.291 C 3// 4726.86 138244 159393 4 4 0.50 0.167 10.4 - 0. 1 75 C 3//

27 2 p 2 p

° 4654.4 188582 160061 6 6 1.00 0.325 29.9 0.290 c + 3/?

( 15 ) 4545.05 138244 160239 4 4 0.413 0.128 7.66 - 0.291 B 3 // 4889.03 139258 159706 2 2 0.159 0.057 1.83 - 0.94 C 3 // 4657.89 138244 159706 4 2 0.81 0.132 8.1 - 0.277 C 3// 4764.86 139258 160239 2 4 0.575 0.391 12.3 - 0.107 B 3n

28 2p _ 4 S°

( 16 ) 4383.75 138244 161049 4 4 0.011 0.0032 0.18 - 1.89 C- 3/i 4587.90 139258 161049 2 4 1.4 x 10-4 8.8 X 10-3 0.0027 - 3.75 E 2//

29 2 P — 2 S° 4441.8 188582 161089 6 2 1.10 0.108 9.5 - 0.188 C 3 /i

( 17 ) 4375.95 138244 161089 4 2 0.200 0.0287 1.65 - 0.94 C 3 /i 4579.35 139258 161089 2 2 0.82 0.258 7.8 - 0.287 C 3//

30 3//44s' — 2 D-2 F° 4602.8 148758 170475 10 14 0.91 0.403 61 0.61 c- 5/i 3/>4(' D) 4//' ( 31 ) 4609.56 148842 170530 6 8 0.91 0.387 35.2 0.366 c 5/? 4589.90 148620 170401 4 6 0.82 0.389 23.5 0.192 c 5/i 4637.25 148842 170401 6 6 0.090 0.029 2.7 - 0.76 D 5/i

31 2 D — 2 P° 4225.0 148758 172415 10 6 1.3 0.20 28 0.30 D 4

( 32 ) 4277.52 148842 172214 6 4 1.0 0.18 15 0.03 D 4

4131.73 148620 172816 4 2 1.4 0.18 9.7 - 0.14 D 4

4237.22 148620 172214 4 4 0.21 0.057 3.2 - 0.64 D 4

32 2 D — 2 D° 4060.8 148758 1788 75 10 10 1.0 0.25 34 0.40 D 4 . 5/i

( 33 ) 4072.01 148842 173393 6 6 0.57 0.142 11.4 - 0.070 C 5/i 4042.90 148620 173348 4 4 1.4 0.34 18 0.13 D 4

4079.58 148842 173348 6 4 0.26 0.043 3.5 - 0.59 D 4

4035.46 148620 173393 4 6 0.045 0.016 0.88 - 1.19 D 5/i

33 3//

44s" — 2 S — 2 P° 4088.4 167308 192094 2 6 1.5 1.1 30 0.34 E 6/i 3/

t 4 (' S )4//' ( 101 ) 4052.92 167308 191975 2 4 1.5 0.75 20 0.18 E 6n 3994.79 167308 192333 2 2 1.6 0.37 9.8 - 0.13 E 6/i

206
Aril. Allowed Transitions — Continued

No. Transition Multiplet A(A) Ej(c m

_1

) Array

34 3//44/> — 1 T Q

O

Oh

3/>4 (-*P)4r/ (44)

3491.54 155043 183676

3514.39 155351 183797

3535.32 155708 183986

3476.75 155043 183797

3491.24 155351 183986

3509.78 155708 184192

3454.10 155043 183986

35 4 P°— 4 F

(46)

3194.23 155043 186340

3225.97 155351 186340

3263.57 155708 186340

36 4p°_4p 3181.4 155257 186681

(47)

3139.02 155043 186891

3212.52 155351 186470

3281.70 155708 186171

3181.04 155043 186470

3243.69 155351 186171

3169.67 155351 186891

3249.80 155708 186470

37 4 D°— 4 D 3822.4 157672 183826

(54)

3780.84 157234 183676

3826.81 157673 183797

3872.14 158168 183986

3880.34 158428 184192

3763.50 157234 183797

3799.38 157673 183986

3841.52 158168 184192

3844.74 157673 183676

3900.62 158168 183797

3911.57 158428 183986

38 4 D°— 4 F

(56)

3588.45 157234 185093

3576.61 157673 185625

3582.36 158168 186074

3581.61 158428 186340

3521.26 157234 185625

3520.00 157673 186074

3548.52 158168 186340

3487.32 157673 186340

39 4 D°— 4 P

(57)

3370.93 157234 186891

3421.62 157673 186891

3603.46 158428 186171

3565.03 158428 186470

40 0

o 1

(59)

3379.46 157234 186816

3430.42 157673 186816

3397.90 158168 187589

41 a

o l Oh o

(65)

3988.16 158730 183797

4065. 1

1

159393 183986

3958.38 158730 183986

4 W(10« sec

-1

)

.//A S(at.u.) l«>g Zf Accuracy

Source

8 3.0 0.73 50 0.64 D 4

6 1.23 0.342 15.8 0.136 C 5/i 4 0.82 0.31 7.2 -0.21 D 4

6 1.34 0.243 16.7 0.164 C 5/i 4 2.2 0.40 18 0.20 D 4

2 2.5 0.46 11 -0.04 D 4

4 0.45 0.054 3.7 -0.49 D 4

4 0.24 0.024 1.5 -0.84 D- 4

4 0.046 0.0072 0.30 -1.54 D- 4

4 0.35 0.11 2.4 -0.66 D- 4

12 2.0 0.30 38 0.56 D 4

6 1.0 0.15 9.2 -0.05 D 4

4 0.096 0.015 0.63 -1.22 D 4

2 0.73 0.12 2.5 -0.62 D 4

4 0.63 0.064 4.0 -0.42 D 4

2 2.0 0.16 6.7 -0.19 D 4

6 0.82 0.19 7.7 -0.12 D 4

4 1.0 0.32 6.8 -0.19 D 4

20 0.65 0.14 36 0.45 D 4, 5//

8 0.94 0.20 20 0.20 D 4

6 0.15 0.033 2.5 -0.70 D 5/7 4 0.19 0.043 2.2 -0.76 D 4

2 0.22 0.050 1.3 -1.00 D 4

6 0.14 0.022 2.2 -0.75 D 5/7 4 0.23 0.033 2.5 -0.70 D 4

2 0.27 0.030 1.5 -0.92 D 4

8 0.047 0.014 1.1 - 1.08 D 4

6 0.082 0.028 1.4 -0.95 D 4

4 0.088 0.040 1.0 -1.10 D 4

10 3.39 0.82 77 0.82 C 5/7 8 2.77 0.71 50 0.63 C 5/7 6 3.72 1.07 51 0.63 c 5/7 4 1.8 0.69 16 0.14 D 4

8 0.23 0.043 4.0 -0.46 D 5/i 6 0.80 0.15 10 -0.05 D 5/7 4 1.1 0.21 9.7 -0.08 D 4

4 0.027 0.0033 0.23 -1.70 D 4

6 0.059 0.0075 0.67 - 1.22 D 4

6 0.093 0.016 1.1 -1.02 D 4

2 0.065 0.013 0.30 -1.59 D 4

4 1.1 0.42 9.8 -0.08 D 4

8 0.020 0.0034 0.30 - 1.57 D- 4

8 0.058 0.014 0.92 -1.08 D — • 4

6 0.027 0.0070 0.31 -1.55 D- 4

6 0.050 0.012 0.94 - 1.14 D- 4

4 0.015 0.0037 0.20 -1.83 D- 4

4 0.033 0.0052 0.40 - 1.51 D- 4

6

4

26

4

26

6

4

2

12

6

4

26

4

4

2

20

8

6

4

28

6

4

6

4

2

8

6

4

28

6

4

6

8

6

2

2

8

6

4

6

4

6

207
Ar II . Allowed Transitions — Continued

No. Transition Multiplet A( A) E-,( cm-1

) }Zi 4 a-, <10* ftk S(at.u.) *<>£ a/ AccuArray sec

-1

) racy

42 2 D° — 4 F

(67)

3717.17 158730 185625 6 8 0.030 0.0083 0.61 -1.30 D3656.05 158730 186074 6 6 0.13 0.026 1.9 -0.81 D

3709.92 159393 186340 4 4 0.053 0.011 0.53 - 1.36 D43 2 D° — 4 P

(68)

3550.03 158730 186891 6 6 0.024 0.0045 0.32 - 1.57 D44 2 D° — 2 D

(69)

3000.44 159393 192712 4 4 1.5 0.20 8.0 -0.10 D

45 2 D° — 2 F 3.55/./ 158995 187147 10 14 3.9 1.0 120 1.00 D

(70)

3559.51 158730 186816 6 8 3.9 0.99 69 0.77 D

3545.60 159393 187589 4 6 3.4 0.96 45 0.58 D

3464.13 158730 187589 6 6 0.37 0.067 4.6 -0.40 D

46 2 D

0 — 2 P

(71)

3273.32 159393 189935 4 2 0.37 0.030 1.3 -0.92 D

3204.32 159393 190592 4 4 0.40 0.062 2.6 -0.61 D

47 2 P° — 4 P

(81)

3855.16 160239 186171 4 2 0.015 0.0017 0.085 -2.17 D48 2 P° — 2 F

(82)

3655.28 160239 187589 4 6 0.23 0.069 3.3 -0.56 D49 2p& — 2p 3298.1 160061 190373 6 6 2.7 0.45 29 0.43 D

(83)

3293.64 160239 190592 4 4 1.7 0.28 12 0.05 D

3307.23 159706 189935 2 2 3.4 0.56 12 0.05 D

3366.59 160239 189935 4 2 0.41 0.035 1.5 -0.85 D

3236.81 159706 190592 2 4 0.52 0.16 3.5 -0.49 D

50 2 P° —2 D

3093.40 160239 192557 4 6 4.4 0.95 39 0.58 D

3028.91 159706 192712 2 4 2.3 0.63 13 0.10 D

51 4 S° — 4 F

(89)

3952.73 161049 186340 4 4 0.35 0.082 4.3 -0.48 D52 4S°_4p 39(HU 161049 186681 4 12 1.5 1.1 54 0.64 D

(90)

3868.52 161049 186891 4 6 1.9 0.64 33 0.41 D

3932.55 161049 186470 4 4 1.1 0.26 13 0.02 D

3979.36 161049 186171 4 2 1.3 0.15 8.1 -0.22 D

53 2 S°_2 P

(96)

3388.53 161089 190592 2 4 1.9 0.65 15 0.11 D

54 2 S° — 2 D

3161.37 161089 192712 2 4 1.8 0.54 11 0.03 D55 •W- 2 F°-2( ; 35.54.5 170475 198600 14 18 4.0 0.98 160 1.14 D

3/>4 ('D)4,/' (106)

3561.03 1 70530 198604 8 10 4.0 0.95 89 0.88 D

3545.84 170401 198595 6 8 3.9 0.98 69 0.77 D

3562.19 1 70530 198595 8 8 0.15 0.029 2.7 -0.63 D

Source

4

5n4

4

4

4

208

4-

+*

.fi.

.f-

+*

4-

+-

4^

4^

4^

4-

4-4-

4-

4-

4^

4-»

4-.

4-

4-

+*4-

4^

4-

4-
Aril. Allowed Transitions — Continued

No. Transition

Array

Multiplet

56 2 F°--’D

(107)

57 -tr° —

(109)

58 «po_,p

(115)

59 -P°— -D

(116)

60 "D° — -P

(128)

61 -D°— -D

(129)

62 -D°--F

(131)

63 3/;44/> —

3/;4

(

:! P)5s

64 4 P°- 2 P

(43)

65 4 D° — 4 P

(52)

66 4 D° — 2 P

(53)

67 -D°— 4 P

(63)

M \) /s,(cm_1

) AV(cm_1

) A'

i

4 a-, (10* see

-1

)

.//A- .S’lat.u.) I"!! Zf Accuracy

.1409.0 170473 199801 14 10 0.31 0.039 6.1 -0.26 D

3429.62 1 70530 199680 8 6 0.22 0.029 2.6 -0.63 D

3432.59 170401 1 99982 6 4 0.32 0.038 2.6 -0.64 D

3414.46 170401 199680 6 6 0.077 0.013 0.91 - 1.1

1

D

3365.5 1704 73 200180 14 14 1.6 0.27 42 0.58 D

3376.44 170530 200139 8 8 1.5 0.26 23 0.32 1) 3350.93 170401 200235 6 6 1.5 0.25 17 0.18 D

3365.54 1 70530 200235 8 6 0.13 0.017 1.5 -0.87 D

3361.75 170401 200139 6 8 0.039 0.0088 0.59 - 1.28 D

3600.22 172214 199525 4 4 2.2 0.43 20 0.24 D

3671.01 172214 199447 4 2 0.71 0.072 3.5 -0.54 D

3639.83 172214 199680 4 6 1.4 0.42 20 0.23 D

3680.06 172816 199982 O 4 1.2 0.49 12 -0.01 D

3825.68 173393 199525 6 4 0.76 0.11 8.4 -0.18 D

3819.02 173348 199525 4 4 0.0036 7.9 X 10-4 0.040 -2.50 D

3803.17 173393 199680 6 6 1.5 0.33 24 0.30 D

3796.60 173348 199680 4 6 0.25 0.081 4.1 -0.49 D

3729.6 1733 73 200180 10 14 2.3 0.67 82 0.83 D

3737.89 173393 200139 6 8 2.3 0.64 47 0.58 D

3718.21 173348 200235 4 6 2.0 0.62 30 0.39 D

3724.52 173393 200235 6 6 0.34 0.071 5.2 -0.37 D

3734.0 135237 182030 12 12 1.1 0.23 34 0.44 D

3765.27 155043 181594 6 6 0.98 0.21 15 0.10 D

3720.43 155354 182222 4 4 0.17 0.035 1.7 -0.85 D

3669.61 155708 182951 2 2 0.13 0.026 0.63 - 1.28 D

3678.27 155043 182222 6 4 0.25 0.034 2.5 -0.69 D

3622.14 155354 182951 4 2 0.64 0.063 3.0 -0.60 D

3809.46 155354 181594 4 6 0.44 0.14 7.2 -0.25 D

3770.52 155708 182222 2 4 0.41 0.17 4.3 -0.47 D

3650.89 155708 183091 2 4 0.12 0.048 1.2 -1.02 D4103.91 157234 181594 8 6 1.2 0.23 25 0.26 D

4033.82 158168 182951 4 2 0.98 0.12 6.3 -0.32 D

4179.30 157673 181594 6 6 0.13 0.034 2.8 -0.69 D

4156.09 158168 182222 4 4 0.39 0.10 5.5 -0.40 D

4076.64 158428 182951 2 2 0.80 0.20 5.3 -0.40 D

4011.20 158168 183091 4 4 0.031 0.0075 0.40 -1.52 D4255.60 158730 182222 6 4 0.021 0.0038 0.32 -1.64 DSource

4

4

4

4

4

4

4

4

209

P*

-P4^-

4^4^-

4^4^

4^4^

4^4^

4^

4^^.4^.
Aril. Allowed Transitions — Continued

No. Transition Multiplet A(A) £7lcm-1

) filcm-1

) £a* T,(10* Jik S(at.u.) ,( »g zf Aceu- Source

Array sec

-1

) racy

68 "D° — "P 4102.1 158995 183366 10 6 1.5 0.22 30 0.34 D 4

(64)

4103.91 158730 183091 6 4 1.3 0.22 18 0.12 D 4

4076.94 159393 183915 4 2 0.99 0.12 6.6 -0.32 D 4

4218.67 159393 183091 4 4 0.36 0.096 5.3 -0.42 D 4

69 2 P°- 4 P

(76) 4.547.76 160239 182222 4 4 0.077 0.024 1.4 -1.02 D- 4

70 2 P° — "P

(77)

4222.64 160239 183915 4 2 0.69 0.092 5.1 -0.43 D 4

A 4275.16 159706 183091 2 4 0.26 0.14 4.0 -0.5.5 D 4

71 4 S°- 4 P 4764.9 161049 182030 4 12 0.17 0.18 11 -0.14 D 4

(85)

4865.92 161049 181594 4 6 0.15 0.080 5.1 -0.49 D 4

4721.59 161049 182222 4 4 0.15 0.050 3.1 -0.70 D 4

4564.42 161049 182951 4 2 0.29 0.045 2.7 -0.74 D 4

72 4 g°_ 2 p

(86)

4535.49 161049 183091 4 4 0.074 0.023 1.4 -1.04 D- 4

73 •W - 2 K° — 2 D

3/>4 ('D)5s' (105)

3946.10 170.530 195865 8 6 1.4 0.25 2.5 0.30 D 4

3925.72 170401 195867 6 4 1.4 0.22 17 0.12 D 4

74 2 P° — 2 D

(113)

4226.99 172214 195865 4 6 0.41 0.16 9.2 -0.19 D 4

4337.07 172816 195867 2 4 0.34 0.19 5.5 -0.42 D 4

75 2 D°— 2 D

(127)

4448.88 173393 195865 6 6 0.65 0.19 17 0.06 D 4

Aril

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1J. The transition probability should also be quite accurate,

since the energy level difference is accurately known.

Reference

[1] Naqvi. A. M., Thesis Harvard (1951). Ar II. Forbidden Transitions

No.

Transition

Array Multiplet mA) £;(e m ') /7a (cm 1 ) (fi Type of

Transition

4a/

(

sec ') S ( at.u.

Accuracy Source

1 3/r’ - 3p

5 2 p° 2 p°

[69842] 0 1431.41 4 2 m 0.0526 1.33 A 1

210
Arlll

Ground State ls22s2 2p63s2 3/P 3 P2

Ionization Potential 40.90 eV = 329965.80 cm" 1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

871.099 1 2345.17 6 3344.72 10

875.534 1 2484. 1

1

4 3352.2 10

878.728 1 2493.0 4 3358.49 10

879.622 1 2499.9 4 3361.3 10

883.179 1 2508.91 4 3368.8 10

887.404 1 2518.2 4 3391.85 7 1669.1 2 2524.5 4 3424.3 7 1669.3 2 2533.92 4 3438.0 7 1669.67 2 2631.90 5 3471.4 7 1673.2 2 2632.4 5 3472.6 9

1673.43 2 2660.2 5 3480.55 9

1673.5 2 2677.9 5 3498.1 7 1675.6 2 2678.38 5 3498.3 7 1675.64 2 2724.84 5 3499.67 9

1914.40 3 2743.9 5 3500.5 9

1914.7 3 3024.05 11 3502.7 9

1915.56 3 3027.1 11 3503.58 9

1918.1 3 3037.0 11 3511.7 9

1918.6 3 3054.82 11 1919.5 3 3064.77 11

2242.29 6 3078.15 11 2248.7 6 3285.85 8

2263.2 6 3301.88 8

2282.21 6 3311.25 8

2297.1 6 3336.13 10

Lawrence [1] has accurately measured the lifetime of the first excited state with the delayedcoincidence method. Using LS-coupling, we have derived the /-values for all components of the resonance multiplet. For numerous other transitions, including those involving shell-equivalent

electrons, the Coulomb approximation has been employed in order to have data available for some

of the more prominent lines in this spectrum. From the general success of this method and from

comparisons with analogous transitions in other ions, uncertainties of 50 percent are normally

expected; however, the uncertainties should be somewhat larger for those transitions involving

shell-equivalent electrons.

Reference

[1] Lawrence, G. M., private communication (1968) and to be published.

211
Arm. Allowed Transitions

No. Transition

Array

Multiplet \<A) £i(cm_1

) £t(cnr] ) gk Al;i (W

sec

-1

)

fik S(at.u.) loggf Accuracy

Source

1 3s23p4 — 3p 3p° 879.06 545 114303 9 9 2.82 0.0327 0.85 -0.53 c 1 3s3/r’ (1 uv)

878.728 0 113801 5 5 2.11 0.0245 0.354 -0.91 c Is 879.622 1112 114798 3 3 0.70 0.0082 0.071 -1.61 c Is 871.099 0 114798 5 3 1.21 0.0082 0.118 -1.387 c Is 875.534 1112 115328 3 1 2.84 0.0109 0.094 -1.485 c Is 887.404 1112 113801 3 5 0.68 0.0135 0.118 -1.393 c Is 883.179 1570 114798 11 3 0.92 0.0323 0.094 -1.491 c Is

2 3p33d- 5D°- 5 P

3p3

( 4 S°)4p (6 uv)

1669.67 144907 204797 9 7 1.7 0.054 2.7 -0.31 E ca , Is 1673.43 144893 204649 7 5 1.2 0.036 1.4 -0.59 E ca, Is 1675.64 144886 204563 5 3 0.76 0.019 0.53 -1.02 E ca, Is [1669.3] 144893 204797 7 7 0.43 0.018 0.70 -0.90 E ca. Is [1673.5] 144893 204649 5 5 0.76 0.032 0.88 -0.80 E ca. Is [1675.6] 144883 204563 3 3 0.97 0.041 0.68 -0.91 E ca. Is [1669.1] 144886 204797 5 7 0.062 0.0036 0.10 -1.74 E ca. Is [1673.2] 144883 204649 3 5 0.20 0.014 0.23 -1.39 E ca. Is

3

:i D°- 3 P 1915.6 156943 209145 15 9 2.1 0.071 6.7 0.03 E ca

(7 uv)

1914.40 156918 209152 7 5 1.8 0.071 3.1 -0.31 E Is 1915.56 156925 209127 5 3 1.6 0.053 1.7 -0.58 E Is [1918.1] 157031 209166 3 1 2.1 0.039 0.75 -0.93 E Is [1914.7] 156925 209152 5 5 0.32 0.018 0.56 -1.05 E Is [1919.5] 157031 209127 3 3 0.54 0.030 0.56 -1.05 E Is [1918.6] 157031 209152 3 5 0.021 0.0020 0.037 -2.23 E Is

4 3p33d' - 3 jr° 3p 2504.1 186606 226529 21 21 0.31 0.029 5.1 -0.21 E ca 3p3(-B°)4p' (8 uv)

2484. 1186402 226646 9 9 0.30 0.027 2.0 -0.61 E Is 2508.91 186657 226503 7 7 0.26 0.025 1.4 -0.76 E Is 2533.92 186903 226356 5 5 0.27 0.026 1.1 -0.88 E Is [2493.0] 186402 226503 9 7 0.025 0.0018 0.14 -1.78 E Is [2518.2] 186657 226356 7 5 0.034 0.0023 0.14 -1.79 E Is [2499.9] 186657 226646 7 9 0.020 0.0024 0.14 -1.78 E Is [2524.5] 186903 226503 5 7 0.025 0.0033 0.14 -1.79 E Is

5

3 D°— 3 D 2690.3 188108 225268 15 15 0.48 0.052 7.0 -0.10 E ca

(9 uv)

2724.84 188714 225403 7 7 0.42 0.047 3.0 -0.48 E Is 2678.38 187823 225148 5 5 0.34 0.036 1.6 -0.74 E Is 2631.90 187171 225155 3 3 0.37 0.039 1.0 -0.93 E Is [2743.9] 188714 225148 7 5 0.073 0.0059 0.37 -1.39 E Is [2677.9] 187823 225155 5 3 0.12 0.0078 0.35 -1.41 E Is [2660.2] 187823 225403 5 7 0.055 0.0081 0.36 -1.39 E Is [2632.4] 187171 225148 3 5 0.075 0.013 0.34 -1.41 E Is

6 3D°- 3P 2304.8 188108 231483 15 9 0.65 0.031 3.5 -0.33 E ca

(10 uv)

2345.17 188714 231342 7 5 0.54 0.032 1.7 -0.66 E Is 2282.21 187823 231627 5 3 0.49 0.023 0.87 -0.94 E Is 2242.29 187171 231755 3 1 0.67 0.017 0.37 -1.30 E Is [2297.1] 187823 231342 5 5 0.098 0.0077 0.29 -1.41 E Is [2248.7] 187171 231627 3 3 0.17 0.013 0.28 -1.42 E Is [2263.2] 187171 231342 3 5 0.0066 8.5 X 10- -

1 0.019 -2.60 E Is

7 3d33d"~ 3p° 3p 3432.6 214152 243276 9 9 0.25 0.044 4.4 -0.41 E ca 3p3

( 2 P

c )4p" (6) 3391.85 213951 243425 5 5 0.19 0.033 1.8 -0.79 E Is [3471.4] 214347 243146 3 3 0.060 0.011 0.37 -1.49 E Is [3424.3] 213951 243146 5 3 0.10 0.011 0.61 -1.26 E Is [3498.3] 214347 242924 3 1 0.24 0.015 0.50 -1.36 E Is [3438.0] 214347 243425 3 5 0.062 0.018 0.62 - 1.26 E Is [3498.1] 214568 243147 1 3 0.079 0.044 0.50 -1.36 E Is

212
Arlll. Allowed Transitions — Continued

No. Transition

Array

Multiplet mA) Ei( cm-1

) ftlcm-1

) A'a- /Ci(10* sec-1

)

fik S(at.u.) l<*g gf Accuracy Source

8 3/>34s — 5 S°-5p 3296.6 174375 204701 5 15 2.0 0.99 54 0.69 D ca 3p3

( 4 S°)4/; (1) 3285.85 174375 204797 5 7 2.0 0.46 25 0.37 D Is 3301.88 174375 204649 5 5 2.0 0.33 18 0.22 D Is 3311.25 174375 204564 5 3 2.0 0.20 11 -0.01 D Is

9 3p34.s' - ! D° — 3 D 3492.1 196640 225268 15 15 1.7 0.32 54 0.68 D C(l 3p3

( 2 D°)4// (2) 3480.55 196680 225403 7 7 1.6 0.28 23 0.29 D Is 3503.58 196614 225148 5 5 1.2 0.22 13 0.04 D Is 3499.67 196589 2251.55 3 3 1.3 0.24 8.1 -0.15 D Is [3511.7] 196680 225148 7 5 0.26 0.035 2.8 -0.61 D- Is [3502.7] 196614 225155 5 3 0.43 0.047 2.7 -0.63 D- Is [3472.6] 196614 225403 5 7 0.20 0.049 2.8 -0.61 D- Is [3500.5] 196589 225148 3 5 0.26 0.078 2.7 -0.63 D- Is

10 Q

o 1 3344.8 196640 226529 15 21 2.0 0.46 76 0.84 D ca

(3) 3336.13 196680 226646 7 9 2.0 0.43 33 0.47 D Is 3344.72 196614 226503 5 7 1.8 0.41 23 0.31 D Is 3358.49 196589 226356 3 5 1.6 0.46 15 0.14 D Is [3352.2] 196680 226503 7 7 0.22 0.037 2.8 -0.59 D- Is [3361.3] 196614 226356 5 5 0.30 0.051 2.8 -0.59 D- Is [3368.8] 196680 226356 7 5 0.0085 0.0010 0.081 -2.15 E Is

11 3/r34.s" - w *0o I 6 3041.4 207382 240252 9 15 2.5 0.58 52 0.72 D ca 3p3

( 2 P)4//' (4) 3024.05 207233 240292 5 7 2.6 0.49 24 0.39 D Is 3054.82 207532 240258 3 5 1.9 0.44 13 0.11 D Is 3078.15 207673 240151 1 3 1.4 0.58 5.9 -0.24 D- Is [3027.1] 207233 240258 5 5 0.64 0.088 4.4 -0.36 D- Is 3064.77 207532 240151 3 3 1.0 0.15 4.4 -0.36 D- Is [3037.0] 207233 240151 5 3 0.070 0.0058 0.29 -1.54 E Is

Arm

Forbidden Transitions

The adopted values have been derived from Naqvi [1], and Czyzak and Krueger [2]. Since

their methods are essentially alike, Naqvi’s and Czyzak and Krueger’s magnetic dipole transitions

have been averaged, except for the 3 P — ‘S transition where configuration interaction is important.

In this case Czyzak and Krueger’s empirically derived value has been preferred over Naqvi’s, which

is based purely on theory (see also General Introduction).

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Czyzak. S. J. & Krueger, T. K., Monthly Notices Roy. Astron. Soc. 126, 177-194 (1963).

213
Ar III. Forbidden Transitions

No.

Transition

Array Multiplet M A) £j(cm 1 ) Fa-

(

cm ') gi gk

Type of

Transition 4 a/ (sec ') S( at.u.)

Accuracy

1 3p

4 —3p4 3p 3p

[ 89896] 0.00 1112.1 5 3 e 3.62 x 10- 7 3.80 C

[ 89896 ] 0.00 1112.1 5 3 m 0.0308 2.49 B

[ 63669] 0.00 1570.20 5 1 e 2.72 x 10-6 1.69 C

[ 21.823 x 104

] 1112.1 1570.20 3 1 m 0.00519 2.00 A

2 3p_ip

( IF) 7135.80 0.00 14010.0 5 5 e 0.0014 0.077 D

7135.80 0.00 14010.0 5 5 m 0.0321 0.00216 C

7751.06 1112.1 14010.0 3 5 e 1.3 x 10-4 0.011 D

7751.06 1112.1 14010.0 3 5 m 0.083 0.0072 C

[ 8036. 5 ] 1570.20 14010.0 1 5 e 2.9 x 10-5 0.0029 D

3

3 p — i S

( 2F) 3005.1 0.00 33265.7 5 1 e 0.043 0.0062 D

3109.0 1112.1 33265.7 3 1 m 4.02 0.00448 C

4 *D — >S

( 3F) 5191.82 14010.0 33265.7 5 1 e 3.10 7.0 C

Source

1 ,

1 ,

2

2

2

Ar IV

Ground State ls22s22p63s2 3p3 4 S3/ 2 Ionization Potential 59.79 eV = 482400 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

840.029 1 2640.34 3 2809.44 2 843.772 1 2682.6 3 2818.3 2 850.602 1 2757.92 5 2830.3 -2 2562.1 3 2776.26 2 2852.0 2 2565.5 3 2782.9 5 2874.4 2

2568.1 3 2784.47 5 2913.0 4

2608.06 3 2788.96 2 2926.3 4

2615.7 3 2797.1 2 3037.98 4

Lawrence [11 has accurately measured the lifetime of the first excited state with the delayedcoincidence method. Using LS-coupling, we have derived the /-values for all components of the resonance multiplet. For several other transitions the Coulomb approximation has been employed

in order to have some data on the more prominent lines in this spectrum. From the general success

of this method and from comparisons with analogous transitions in other ions, uncertainties of

50 percent are expected; however these estimates should be regarded as provisional.

Reference

[1] Lawrence, G. M., private communication (1968) and to be published.

214

N5

tOM

Is5

N2

i—

'

S3

^

NO
ArIV. Allowed Transitions

No. Transition

Array

Multiplet X(A) E,(cm-1

) £*(cm_1) ft ft- /GidO*

sec

-1

)

S(at.u.) log Sf Accuracy

Source

1 3s23/>3 — 3s3p4 4$°_4p 846.54 0 118128

' 4 12 2.67 0.086 0.96 - 0.463 C 1 (1 uv)

850.602 0 117564 4 6 2.63 0.0429 0.480 -0.77 C Is 843.772 0 118515 4 4 2.70 0.0288 0.320 -0.94 C Is 840.029 0 119044 4 2 2.73 0.0145 0.160 - 1,237 C Is

2 3/;

24s — 4 P — 4 D° 2810.9 251325 286890 12 20 2.6 0.51 57 0.79 D Cll 3p2

( 3 P)4p (4 uv)

2809.44 251972 287556 6 8 2.6 0.41 23 0.39 D Is 2788.96 250907 286752 4 6 1.9 0.32 12 0.11 D Is 2776.26 250219 286229 2 4 1.1 0.26 4.7 -0.29 D- Is [2874.4] 251972 286752 6 6 0.73 0.091 5.1 -0.27 D- Is [2830.3] 250907 286229 4 4 1.4 0.16 6.0 -0.19 D- Is [2797.1] 250219 285960 2 2 2.2 0.26 4.7 -0.29 D- Is [2818.3] 251972 286229 6 4 0.13 0.010 0.57 -1.21 E Is [2852.0] 250907 285960 4 2 0.41 0.025 0.94 -0.99 E Is

3 4 p 4 p° 2617.5 251325 289518 12 12 3.2 0.33 34 0.60 D ca

(5 uv)

2640.34 251972 289835 6 6 2.2 0.23 12 0.14 D Is 2608.06 250907 289238 4 4 0.43 0.044 1.5 -0.75 E Is [2565.5] 250219 289126 2 2 0.57 0.056 0.94 -0.95 E Is [2682.6] 251972 289238 6 4 1.4 0.097 5.2 -0.23 D- Is [2615.7] 250907 289126 4 2 2.7 0.14 4.7 -0.26 D- Is [2568.1] 250907 289835 4 6 1.0 0.15 5.1 -0.22 D- Is [2562.1] 250219 289238 2 4 1.4 0.28 4.7 -0.25 D- Is

4

65 1 65 O

0 2925.4 256930 291103 6 10 2.4 0.52 30 0.49 D ca

(2)

[2913.0] 257349 291668 4 6 2.5 0.47 18 0.27 D Is [2926.3] 256093 290256 2 4 2.0 0.51 9.9 0.01 D Is 3037.98 257349 290256 4 4 0.36 0.050 2.0 -0.70 E Is

5 3//24s' — 3 D-2 F° 2769.2 268159 304260 10 14 2.7 0.44 40 0.64 D ca

3/t2 (’D)4// (6 uv)

2757.92 268151 304400 6 8 2.8 0.42 23 0.40 D Is 2784.47 268171 304074 4 6 2.5 0.44 16 0.24 D Is [2782.9] 268151 304074 6 6 0.18 0.021 1.1 -0.90 E Is

Ar IV

Forbidden Transitions

All the values for this ion are taken from Czyzak and Krueger [1], since they have included

the important effects of configuration interaction and have used self-consistent field wavefunctions with exchange to obtain their value of sq

. (For a more complete discussion see General

Introduction.)

Reference

[1] Czyzak, S. J. & Krueger, T. K., Monthly Notices Roy. Astron. Soc. 126, 177-194 (1963).

215
ArlV. Forbidden Transitions

No.

Transition

Array Multiplet MA) Ej (cm ') Ek ( cm ') g> gk

Type of

Transition Aki (sec ') S(at.u.)

Accuracy Source

1 3p3 — 3p3 4 S°- 2 D°

(IF)

4711.33 0.00 21219.5 4 6 m 0.00160 3.72 X 10-s C 1 4711.33 0.00 21219.5 4 6 e 0.0080 0.066 D 1 4740.20 0.00 21090.3 4 4 m 0.072 0.00113 C 1 4740.20 0.00 21090.3 4 4 e 0.0051 0.029 D 1

2 S°- 2 P°

[2853.6] 0.00 35032.3 4 4 in 2.55 0.0088 C 1 [2853.6] 0.00 35032.3 4 4 e 1.6 X 10-s 7.0 X 10-6 D 1 [2868.2] 0.00 34855.4 4 2 m 0.97 0.00170 C 1 [2868.2] 0.00 34855.4 4 2 e 1.2 x 10-4 2.8 X 10-5 D 1

3

o 1 QO Q

[77.38 x 104

] 21090.3 21219.5 4 6 m 2.33 x 10-s 2.40 A 1 [77.38 X 104

] 21090.3 21219.5 4 6 e 1.1 x 10- 13 0.11 D 1

4 2£)° __2p°

(2F)

7237.26 21219.5 35032.3 6 4 m 0.444 0.0249 C 1 7237.26 21219.5 35032.3 6 4 e 0.226 10.7 C 1 7262.76 21090.3 34855.4 4 2 m 0.488 0.0139 C 1 7262.76 21090.3 34855.4 4 2 e 0.190 4.57 C 1 7332.0 21219.5 34855.4 6 2 e 0.122 3.08 C 1 7170.62 21090.3 35032.3 4 4 m 0.81 0.0445 C 1 7170.62 21090.3 35032.3 4 4 e 0.098 4.42 C 1

5 2po _>po [56.51 x 104

] 34855.4 35032.3 2 4 m 4.97 X 10-5 1.33 A

[56.51 X 104] 34855.4 35032.3 2 4 e 4.1 X 10- 13 0.055 D 1

Ar V

Ground State ls22s22p63s23p2 3 P0

Ionization Potential 75.0 eV = 605100 cm-1

Allowed Transitions

A value is available for one multiplet of this ion from the screening-approximation calculations

of Varsavsky [1]. This result should he quite uncertain (probably too high, as judged from comparisons in other ions), since the possibly important effects of configuration interaction have not

been taken into account.

Reference

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).

216
ArV. Allowed Transitions

No. Transition

Array

Multiplet x(A) Ei( cm ')

k\\

Edcm-1 ) gi gk Aki( 10“ sec

-1

)

fik S(at.u.) •og gf Accuracy

Source

1 3s23p2 —3s3p3 3 P-*D° 830.94 1384 121730 9 15 29 0.50 12 0.66 E 1 (1 uv)

834.878 2032 121810 5 7 29 0.42 5.8 0.32 E Is 827.055 765 121678 3 5 22 0.38 3.1 0.06 E Is 822.159 0 121632 1 3 17 0.51 1.4 -0.29 E Is

, [835.80] 2032 121678 5 5 7.2 0.075 1.0 -0.43 E Is [827.36] 765 121632 3 3 12 0.13 1.0 -0.42 E Is [836.12] 2032 121632 5 3 0.80 0.0051 0.070 -1.60 E Is

Ar V

Forbidden Transitions

The adopted values have been derived from Naqvi [1], and Czyzak and Krueger [2]. Since

their methods are essentially alike, Naqvi’s and Czyzak and Krueger’s magnetic dipole transitions have normally been averaged, except for the 3 P — *S transition where configuration interaction is important. In this case Czyzak and Krueger’s empirically derived value has been preferred over Naqvi’s, which is based purely on theory (see also General Introduction).

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Czyzak, S. J. & Krueger, T. K., Monthly Notices Roy. Astron. Soc. 126, 177-194 (1963).

ArV. Forbidden Transitions

Transition Type of AccuNo. Array Multiplet MA) £i(cm 1 ) Ek( cm ') g> gk Transi- • 4ki{sec~') S(at.u.) racy Source

tion

1 3p2 — 3p2 3p _ ap

[13.07 x 104

] 0 765 1 3 tii 0.00805 2.00 A 1 [49199] 0 2032 1 5 e 1.33 X 10-6 1.14 C 2 [78905] 765 2032 3 5 m 0.0273 2.49 B 1 [78905] 765 2032 3 5 e '2.79 X 10-7 2.54 C 2

2 3 P — >D

(IF)

6131.0 0 16301 1 5 e 4.9 X 10-5 0.0013 D 2 6435.10 765 16301 3 5 m 0.223 0.0110 C 1, 2 6435.10 765 16301 3 5 e 3.5 x 10-4 0.011 D 2 7005.67 2032 16301 5 5 m 0.52 0.0329 C 1. 2 7005.67 2032 16301 5 5 e 0.0016 0.079 D 2

3 3 P _1 S

[2691.1] 765 37914 3 1 m 6.8 0.00493 C 2 [2786.1] 2032 37914 5 1 e 0.081 0.0081 D 2

4 >D->S

(2F) 4625.54 16301 37914 5 1 e 3.8 4.8 D 2

217
ArVl

Ground State ls2 2s22p63s23p 2 P°/2

Ionization Potential 91.3 eV = 736600 cm-1

Allowed Transitions

The screening-approximation calculations of Varsavsky [1] for the 3s2 3p 2 P° — 3s3p2 2 D multiplet are considered to be rather uncertain (probably too high, as judged from comparisons in other

ions) since the important effects of configuration mixing are neglected entirely. Gruzdev and Prokofev [2] have carried out Coulomb approximation calculations modified with the Seaton correction for the 3p

2 P° —4s 2 S multiplet; these results should be reliable to within 25 percent, as judged

from plots depicting /-value dependence on nuclear charge.

References

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).

[2] Gruzdev, P. F., and Prokofev, V. K., Optics and Spectroscopy (U.S.S.R.) 21, 151-152 (1966). Ar vi. Allowed Transitions

No. Transition

Array

Multiplet MA) Ei(cm ') Ek{ cm-1 ) gi gk dfci (108 sec

-1

)

fi* S(at.u.) log gf Accuracy

Source

1 3s23p —3s3p2 2 p

o _2D 763.00 1473 132534 6 10 33 0.48 7.3 0.46 E 1

[767.06] 2210 132578 4 6 33 0.44 4.4 0.25 E Is [754.93] 0 132468 2 4 28 0.48 2.4 -0.02 E Is [767.71] 2210 132468 4 4 5.4 0.048 0.48 -0.72 E Is

2 3p — ( l S)4s 2 P°- 2 S 293.42 1473 342286 6 2 205 0.088 0.51 -0.277 C 2

[294.05] 2210 342286 4 2 136 0.088 0.341 -0.453 c Is [292.15' 0 342286 2 2 69 0.088 0.169 -0.75 c Is

Ar VI

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number, tabulated for example by Naqvi [1]. The transition probability should also be quite accurate,

since the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

ArVI. Forbidden Transitions

No.

Transition

Array Multiplet M A) Ei (cm 1 ) £7 (cm ') t-'k Type of

Transition

4ki( sec *) S(at.u.)

Accuracy Source

1 3p-(‘S)3p 2po 2po

[45237] 0 2210 2 4 m 0.097 1.33 A 1

218
Ar VII

Ground State ls22s22p63s2 'So

Ionization Potential 124.0 eV= 1000400 cm-1

Allowed Transitions

The charge-expansion technique of Crossley and Dalgarno [1 J, which includes limited configuration mixing, has been employed for the majority of the transitions in this spectrum; while

Gruzdev and Prokofev [2] have carried out Coulomb approximation calculations modified with

the Seaton correction for the 3s3p 3 P° — 3s4s 3 S multiplet. For many of these transitions, the dependence of oscillator strength on nuclear charge has served as an aid in estimating accuracies.

References

[lj Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soc. London A286, 510 (1965).

[2] | Gruzdev, P. F., and Prokofev, V. K., Optics and Spectroscopy (U.S.S.R.) 21, 151-152 (1966).

ArVII. Allowed Transitions

No. Transition

Array

Multiplet y(A) Eiicm -

'

)

Fa-

(

cm ') g> gk /G/(10«

sec

-1

)

fix S(at. u.) log^ Accuracy

Source

1 3s2 —3s(2 S)3p iS_ip° [585.75] 0 170720 1 3 78.3 1.21 2.33 0.083 B 1

2 3s3p — 3p

2 3p° 3p 637.30 [ 114744

]

[271657] 9 9 67 0.408 7.7 0.56 c + 1

[637.05] [115581] [272554] 5 5 50 0.306 3.21 0.185 c + Is [637.47] [113900] [270770] 3 3 16.7 0.102 0.64 -0.51 c Is [644.38] [115581] [270770] 5 3 27.0 0.101 1.07 -0.297 c Is [641.32] [113900] [269829] 3 1 66 0.136 0.86 -0.389 c Is [630.30] [113900] [272554] 3 5 17.3 0.172 1.07 -0.287 c Is [634.22] [113095] [270770] 1 3 22.8 0.412 0.86 -0.385 c Is

3 3s3p — 3s(2 S)3d w 13O 1 CO a 477.55 [114744] [324147] 9 15 99.2 0.565 8.00 0.706 B 1

[479.38] [115581] [324184] 5 7 98.0 0.473 3.73 0.374 B Is [475.66] [113900] [324136] 3 5 75.3 0.426 2.00 0.107 B Is [473.97] [113095] [324079] 1 3 56.4 0.570 0.889 -0.244 B Is [479.49] [115581] [324136] 5 5 24.5 0.0845 0.667 -0.374 B Is [475.78] [113900] [324079] 3 3 41.8 0.142 0.667 -0.371 B Is [479.62] [115581] [324079] 5 3 2.7 0.0056 0.044 -1.55 D Is

4 3s3p — 3s( 2 S)4s 3p°_3g 250.41 [114744] [514083] 9 3 278 0.087 0.65 -0.106 C 2

[250.94] [115581] [541083] 5 3 154 0.087 0.359 -0.362 C Is [249.89] [113900] [541083] 3 3 93 0.087 0.215 -0.58 C Is [249.38] [113095] [514083] 1 3 31.1 0.087 0.071 -1.060 C Is

Ar VII

Forbidden Transitions

Naqvi’s calculations [1] are the only available source. The results for the 3P° — 3P° transitions are essentially independent of the choice of the interaction parameters. For the 3 P° — 'P°

transitions, Naqvi uses empirical term intervals, i.e., the effects of configuration interaction should

be partially included.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

308-022 0-69—17

219
ArVll. Forbidden Transitions

No.

Transition

Array Multiplet MA) Ej( cm ') £t(cm 1 ) & gk

Type of

Transition Am (sec ') S(at.u.)

Accuracy Source

1 3s3p —3s(2 S)3p 3p°_3p°

[12.42 X 104

] [113095] [113900] 1 3 m 0.00939 2.00 B 1 [59470] [113900] [115581] 3 5 m 0.0641 2.50 B 1

2 3p°_ip°

[1735.4] [113095] 170720 1 3 m 1.34 7.8 x 10 -4 C- 1 [1759.9] [113900] 170720 3 3 m 48.8 0.0296 C- 1 [1813.6] [115581] 170720 5 3 m 1.47 9.7 X 10- 4 C- 1

Ar VIII

Ground State ls2 2s22pH3s 2 S 1/2

Ionization Potential 143.46 eV = 1157400 cm 1

Allowed Transitions

List of tabulated lines:

Wavelength [AJ No. Wavelength [A] No. Wavelength [A] No.

120.09 3 337.09 6 545.90 11 120.16 3 337.26 6 700.24 1 158.92 2 338.22 6 713.81 1 159.17 2 519.43 4 1444.4 10

184.30 8 526.45 4 1463.9 10

229.44 5 526.87 4 1465.5 10

230.88 5 542.94 11 1875.2 9

260.30 7 1910.9 9

The only source available for this ion are the charge-expansion calculations of Crossley and

Dalgarno [1] which include limited configuration mixing. Graphical comparisons of this work with

more refined values within the isoelectronic sequence indicate accuracies within 25 percent. A

number of additional values have been obtained from studies of the f-value dependence on nuclear

charge. The reliable material available for other ions of this isoelectronic sequence in these cases

permits the determination of reliable values simply by graphical interpolation.

Reference

[1] Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soc. London A2 86 , 510-518 (1965). 220
ArviII. Allowed Transitions

No. Transition

Array

Multiplet mA) Fifcnr1

) cm-1

)

1 3s — 3/; 2 S- 2 P° 704.87 0 141870

[700.24] 0 142776

[713.81] 0 140058

2 3s — 4/;

2 S — 2 P° 159.01 0 628905

[158.92] 0 629237

[159.17] 0 628240

3 3s — 5/>

2 S — 2 P° 120.11 0 832542

[120.09] 0 832691

[120.16] 0 832245

4 3/> — 3r/ 2 P°— 2 D 524.12 141870 332667

[526.45] 142776 332727

[519.43] 140058 332576

[526.87] 142776 332576

5 3/; — 4s 2 P°_ 2g 250.89 141870 575910

[230.88] 142776 575910

[229.44] 140058 575910

6 3</ — 4/> 2 D _2p° 237.57 332667 628905

[337.26] 332727 629237

[338.22] 332576 628240

[337.09] 332576 629237

7 3(7 — 4/ 2D- 2 F° 260.30 332667 716837

8 3*7—5/ 2D-2F° 184.30 332667 875265

9 4s — 4/>

2 S - 2 po

1887.0 575910 628905

[1875.2] 575910 629237

[1910.9] 575910 628240

10 4/; — 4</ 2 P°- 2 D 1457.5 628905 69751 7

[1463.9] 629237 697548

[ 1444.4] 628240 697471

[1465.5] 629237 697471

11 4/> — 5s 2 p°_2S 544.91 628905 812422

[545.90] 629237 812422

[542.94] 628240 812422

gk //*,•( 10“ fik S(at.u.) log gf Accu- Source

sec

-1

) racy

6 25.4 0.57 2.63 0.057 C 1

4 25.8 0.380 1.75 -0.119 c . Is 2 24.5 0.187 0.88 -0.427 c is

6 110 0.12 0.13 -0.62 c interp

4 110 0.083 0.087 -0.78 c Is 2 110 0.041 0.043 -1.09 c Is

6 60 0.039 0.031 - 1.11 D interp

4 61 0.027 0.021 -1.27 D Is 2 58 0.013 0.010 -1.59 D Is

10 73 0.50 5.2 0.477 C 1

6 72 0.450 3.12 0.255 C Is 4 63 0.51 1.73 0.009 C Is 4 12 0.050 0.35 -0.70 D Is

2 350 0.093 0.42 -0.25 C interp

2 230 0.092 0.28 -0.43 C Is 2 120 0.093 0.14 -0.73 C Is

6 120 0.12 1.3 0.08 C interp

4 100 0.12 0.78 -0.14 C Is 2 110 0.097 0.43 -0.41 C Is 4 12 0.020 0.087 -1.10 D Is

14 650 0.92 7.9 0.96 c+ interp

14 240 0.17 1.0 0.23 c interp

6 5.1 0.82 10 0.21 c interp

4 5.1 0.54 6.7 0.03 c Is 2 4.8 0.26 3.3 -0.28 c Is

10 17 0.92 26 0.74 c interp

6 17 0.83 16 0.52 c Is 4 15 0.91 8.7 0.26 c Is 4 2.7 0.088 1.7 -0.45 D Is

2 110 0.16 1.7 -0.02 C interp

2 68 0.15 1.1 -0.22 c Is 2 36

1 0.16 0.57 -0.49 c Is

gi

2

22

2

2

2

2

2

2

6

4

24

6

4

2

10

6

4

4

10

10

2

2

2

6

4

24

6

4

2

221
Ar IX

Ground State ls22s2 2p6 J So

Ionization Potential 422.6 eV

Allowed Transitions

Calculations by Kastner, Omidvar, and Underwood [1], employing Hartree-Fock wave functions and including intermediate coupling, are available. Since the calculations are based on a single-configuration approximation only, uncertainties of up to 50 percent are expected for the

strong lines and even higher uncertainties for the weak lines, the latter being more affected by

assumptions about the coupling.

Reference

[1] Kastner, S. O., Omidvar. K., and Underwood, J. H., Astrophys. J. 148, 269-273 (1967).

ArlX. Allowed Transitions

No. Transition

Array

Multiplet X(A) £,(cm-') Ek ( cm-') gi gk d A-, (10* sec

-1

) fik S(at.u.) log gf Accuracy

Source

1 2p

6 -

2p5( 2 P3/2 )3s

1 S _3 P

°

[49.180] 0 2033350 1 3 480 0.052 0.0084 -1.28 E 1

2 2p6 —

2p5

(2 P?/2 )3s 'S->P° [48.730] 0 2052120 1 3 1300 0.14 0.022 -0.85 D 1

Ar X

Ground State ls2 2s2 2p5 2 P,3/2

Ionization Potential ? Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1], The transition probability is not as accurate, since the energy

level difference is not accurately known.

Reference

[1| Naqvi, A. M., Thesis Harvard (1951).Ar x. Forbidden Transitions

No.

Transition

Array Multiplet A(A) E; (cm ') Fa-

(

cm ') gi gk

Type of

Transition A (sec ') S ( at.u.)

Accuracy Source

1 2p5 - 2p5 •>po 2p°

(IF) 5536 0 [18059] 4 2 m 106 1.33 B 1

222
Ar XI

Ground State ls22s22p4 3Pa

y Ionization Potential

Forbidden Transitions

The sources used in deriving the adopted values are Naqvi [1], and Malville and Berger [2]. The electric quadrupole value of Naqvi has been modified by substituting Malville and Berger s quadrupole moment sq , since this is obtained from self-consistent field wave functions, while Naqvi

used the less elaborate screened hydrogenic wave functions.

References

[1| Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M. and Berber, R. A., Planetary and Space Science 13, 1131 (1965).

Ar XI. Forbidden Transitions

Transition

MA)

Type of AccuNo. Array Multiplet Fdcirr 1 ) Ek ( cm 1 ) g< gk Transi- AA-, ( sec ') S(at.u.) racy Source

tion

1 2/r4 — 2p4 3 P- 3 P

(IF)

6919 0 14449 5 3 e 3.9 X KG4 0.011 D 1,2

6919 0 14449 5 3 m 66.5 2.45 B 1

Ar XIII

Ground State ls2 2s2 2p2 3 P0

Ionization Potential ? Forbidden Transitions

Krueger and Czyzak’s [1] values have been used for this ion, except for the magnetic dipole

3 P0> , — 3 Pi,s transitions where Naqvi’s [2] results have been applied. Some wavelength data are from observed coronal lines. The electric quadrupole moment (sq) is based on self-consistent

field wave functions with exchange.

References

[1] Krueger, T. K. and Czyzak, S. J., Astrophys. J. 144, 1194-1202 (1966).

[2| Naqvi, A. M., Thesis Harvard (1951). 223
ArXIll. Forbidden Transitions

Transition

MA)

Type of AccuNo. Array Multiplet fi(cm ’) Ek(c m ') AT Transition A^isec-1 ) S(at.u.) racy Source

1 2p2 — 2p2 3P- 3P

[9960] 0 [10040] l 3 m 17.9 1.97 B- 2

[4579] 0 [21835] l 5 e 7.9 x 10- 4 0.0047 C- 1 8475.7 [10040] [21835] 3 5 m 21.5 2.43 B 2

8475.7 [10040] [21835] 3 5 e 7.4 x 10- 5 0.0097 C 1

3P — rD

[1165] 0 [85840] 1 5 e 0.0022 1.4 X lO-5 D- 1 [1319] [10040] [85840] 3 5 m 242 0.103 C 1 [1319] [10040] [85840] 3 5 e 0.035 4.2 x 10- 4 D 1 [1562] [21835] [85840] 5 5 m 420 0.296 C 1 [1562] [21835] [85840] 5 5 e 0.10 0.0028 D 1

3 P-iS

[675.3] [10040] [158100] 3 1 m 3030 0.0346 C 1 [733.7] [21835] [158100] 5 1 e 2.7 3.4 x 10- 4 D 1 'D-'S

[1383] [85840] [158100] 5 1 e 5.5 0.017 D 1

Ar XIV

Ground State ls2 2s2 2p 2 P°/2

Ionization Potential

Forbidden Transitions

?

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi[l]. The transition probability should also be quite accurate, since

the energy level difference is accurately known

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

ArXIV. Forbidden Transitions

No.

Transition

Array Multiplet mA) fi(cm 1 ) Ek (cm ') gi gk

Type of

Transition Aki (sec ') S(at.u.)

Accuracy Source

1 2p — 2p S5c 1 to 4412.9 0 22657 2 4 m 104 1.33 A 1

224
POTASSIUM

Ki

Ground State ls22s22p63s23p64s 2 S 1/2

Ionization Potential 4.339 eV = 35009.78 cm' 1 Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

2927.5 24 6964.18 35 10904 73

2942.7 23 6964.69 35 10925 81

2963.2 22 7541.5 66 10927 73

2992.2 21 7618.9 65 10948 81

3034.8 20 7664.91 15 11022.3 10

3101.9 19 7698.98 15 11237 72

3217.15 18 7722.3 64 11261 72

3217.62 18 7865.5 63 11270 80

3246.38 17 8037.3 8 11294 80

3247.41 17 8038.9 8 11690.2 34

4044.15 16 8039.3 8 11744 71 4047.21 16 8072.5 62 11769.7 34

4741.6 33 8192.5 7 11770 71 4744.4 42 8194.1 7 11772.8 34

4754.6 33 8194.6 7 11793 79

4757.4 42 8250.2 14 11820 79

4786.9 32 8251.7 14 12432.2 25

4791.0 41 8390.3 61 12522.1 25

4800.2 32 8391.5 61 12526 58

4804.3 41 8417.3 6 12540 58

4850.0 31 8419.0 6 12580 70

4856.1 40 8419.8 6 12610 70

4863.6 31 8503.5 13 12659 78

4869.8 40 8505.3 13 12690 78

4942.0 30 8763.6 5 13377.9 2

4950.8 39 8765.4 5 13382 2 4956.1 30 8766.8 5 13397.1 2 4965.0 39 8902.2 12 14153 69

5084.3 29 8904.1 12 14191 69

5097.2 38 8923.5 60 14293 77

5099.2 29 8925.6 60 14332 77

5112.2 38 9347.0 4 14807 50

5323.4 28 9349.1 4 14810 50

5339.8 28 9351.4 4 14811 50

5343.1 37 9595.60 11 15163 9

5359.6 37 9597.76 11 15163.1 9

5359.7 37 9950.5 59 15168.4 9

5782.4 27 9955.2 59 15203 49

5801.8 27 10479 3 15205 49

5812.2 36 10484 3 15207 49

5831.7 36 10487 3 15768 48

5831.9 36 10672 74 15770 48

6911.1 26 10686 82 15772 48

6936.27 35 10693 74 15984 56

6938.8 26 10707 82 16622 47

225
Ki. Allowed Transitions — Continued

Wavelength [A] No.

16625 47

16628 47

16963 55

17939 68

18000 68

18029 46

18033 46

18038 46

18229 76

18292 76

18298 76

18627 54

Wavelength [A] No.

20685 45

20690 45

20701 45

21945 53

27068 57

27185 44

27193 44

27206 57

27226 44

31162 52

31381 1 31404 1

Wavelength [A] No.

31591 1 36363 67

36613 67

37072 75

37333 75

37348 75

62068 43

62110 43

62436 43

136900 51

The value for the 45 — 4/9 resonance doublet is the average of three experimental and two

theoretical determinations. The experiments include an absolute anomalous dispersion measure- ment by Ostrovskii and Penkin [2] and lifetime determinations using the phase-shift method by

Link [3] and the Hanle effect by Schmieder, et al. [4]. The theoretical approaches considered the

most refined available are a self-consistent field calculation (SCF), done in both the length and

velocity approximations and including core-relaxation effects, by Weiss [5] and a similar SCF

calculation, but instead including core polarization effects, by Hameed et al. [6], Very good agreement among the averaged values suggests an accuracy within 10 percent.

For the 4s — np series the anomalous dispersion measurements of Filippov [7] are chosen in

preference to the available theoretical calculations which are considered unreliable due to cancellation in the radial integral for these transitions. Filippov’s values are normalized such that his

value for the 45 — 4/9 transition agrees with the above adopted value. Based mainly on the reliability

of Filippov’s values for the similar 3s — np series in Nal, the accuracy for these transitions is estimated to be within 25 percent. Values for a few of the higher members of this series are obtained by graphical extrapolation. Schmieder, et al. T41 have measured the lifetime of the 5/9 state which confirms Filippov’s adopted value for 45 — 5/9 (see fig. 7 in the General Introduction), if Anderson and Zilitis’ [1] results are used to take account of the 55 — 5/9 and 3d—5p transitions.

Weiss has included the 4/9 — 3d transition in his SCF calculations described above. Dipole

length and velocity approximations agree well and their average is within 10 percent of the value

calculated by Villars [8] using the SCF approach and including a polarization potential.

Values for most of the members for the 4/9 — ns and 4p — nd series are available from Villar’s

SCF calculations and from the absolute flame intensity measurements of Van der Held and Heierman [9], For the 4p — ns series, agreement is usually good and the results have been averaged

(see fig. 9 in General Introduction). For the 4p — nd series the values are obtained by graphically

averaging the two results (fig. 8 in General Introduction). Whenever these sources are not available

for these series, the semi-empirical calculations of Anderson and Zilitis [1] are employed or the

results are obtained by means of extrapolation or interpolation.

For all other transitions in the remaining series, the semi-empirical calculations of Anderson

and Zilitis are adopted with accuracies expected to be within 50 percent.

References

[1] Anderson, E. M., and Zilitis, V. A., Optics and Spectroscopy (U.S.S.R.) 16, 99-101 (1964).

[2] Ostrovskii, Yu. I., and Penkin, N. P., Optics and Spectroscopy (U.S.S.R.) 12, 379 (1962).

[3] Link, J. K., J. Opt. Soc. Am. 56, 1195—1199 (1966).

[4] Schmieder, R. W., Lurio, A., and Happer, W., Phys. Rev. 173, 76-79 (1968).

[5] Weiss, A. W., J. Res. NBS 71 A (Phys. and Chem.) No. 2, 157-162 (1967).

[6] Hameed, S., Herzenberg, A., and James, M. G., J. Phys. B (Proc. Phys. Soc.) Ser. 2, 1, 822-830 (1968).

[ 7 ] Filippov, A. N., Zhur. Eksptl. i. Teoret. Fiz. 3, 520-523 (1933) (translated in “Optical Transition Probabilities,” Vol. 1).

[8] Villars, D. S., J. Opt. Soc. Am. 42, 552-558 (1952).

[9] Van der Held, E. F. M., and Heierman, J. H., Physica 3,31-41 (1936).
K I. Allowed Transitions

No Transition

Array

Multi plot A (A) Ej( cm -

1

) /:’/,( cm- 1 ) .4 a, (10* sec

-1

)

Jik .S' (at. u.) log A/ Accuracy Source

1 3d — 5p 2J) _ 2po 31453 21535.4 24713.9 10 6 0.016 0.14 140 0.15 D 1

[31381] 21534.4 24720.2 6 4 0.014 0.14 84 -0.08 D Is [31591] 21536.8 24701.4 4 2 0.015 0.11 47 -0.36 D Is [31404] 21536.8 24720.2 4 4 0.0015 0.022 9.3 -1.06 D Is

2 3d — 6p

2£) 2 po 13384 21535.4 29004.9 10 6 0.0041 0.0066 2.9 -1.18 D 1

13377.9 21534.4 29007.7 6 4 0.0037 0.0066 1.7 -1.40 D Is 13397.1 21536.8 28999.3 4 2 0.0041 0.0055 0.97 -1.66 D Is [13382] 21536.8 29007.7 4 4 4.1X10- 4 0.0011 0.19 -2.36 D Is

3 3d — Ip 2£) 2 po 10482 21535.4 31073.0 10 6 0.0019 0.0019 0.66 -1.72 D 1

[10479] 21534.4 31074.5 6 4 0.0017 0.0019 0.39 -1.94 D Is [10487] 21536.8 31070.0 4 2 0.0019 0.0016 0.22 -2.20 D Is [10484] 21536.8 31074.5 4 4 1.9X10- 4 3.2X10-4 0.044 -2.90 D Is

4 3d — 8p 2J) 2 po 9348.6 21535.4 32229.2 10 6 0.0011 8.4X10- 4 0.26 -2.08 D 1

[9347.0] 21534.4 32230.1 6 4 9.6X10"4 8.4X10-4 0.16 -2.30 D Is [9351.4] 21536.8 32227.4 4 2 0.0011 7.0X10- 4 0.086 -2.55 D Is [9349.1] 21536.8 32230.1 4 4 1.1X10-4 1.4X10-4 0.017 -3.25 D Is

5 3d-9p 2J) _ 2po 8764.8 21535.4 32941 .5 10 6 6.7 x 10- 4 4.6X10"4 0.13 -2.34 D 1

[8763.6] 21534.4 32942.1 6 4 6. OX 10~ 4 4.6X10- 4 0.080 -2.56 D Is [8766.8] 21536.8 32940.3 4 2 6.7 x 10-4 3.8X10-4 0.044 -2.81 D Is [8765.4] 21536.8 32942.1 4 4 6.7X10- 5 7.7X10-5 0.0089 -3.51 D Is

6 3d— lOp 2 D _2p° 8418.2 21535.4 33411.1 10 6 4.4 x 10- 4 2.8 X 10- 4 0.078 -2.55 D 1

[8417.3] 21534.4 33411.5 6 4 4.0 x 10- 4 2.8 X 10- 4 0.047 -2.77 D Is [8419.8] 21536.8 33410.3 4 2 4.4 x 10- 4 2.4 X 10- 4 0.026 -3.03 D Is [8419.0] 21536.8 33411.5 4 4 4.4 x 10- 3 4.7 x 10“ 5 0.0052 -3.72 D Is

7 3d-\\p 2 D — 2 P° 8193.3 21535.4 . 33 737.1 10 6 3.1 X 10- 4 1.9 x 10- 4 0.050 -2.73 D 1

[8192.5] 21534.4 33737.4 6 4 2.8 x 10- 4 1.9 x 10- 4 0.030 -2.95 D Is [8194.6] 21536.8 33736.6 4 2 3.1 x 10- 4 1.6 x 10- 4 0.017 -3.21 D Is [8194.1] 21536.8 33737.4 4 4 3.1 x 10- 5 3.1 x 10-s 0.0034 -3.90 D Is

8 3d— \2p 2 £)_ 2 po 8038.1 21535.4 33972.7 10 6 2.3 x 10- 4 1.3 X 10- 4 0.035 -2.88 D 1

[8037.3] 21534.4 33972.9 6 4 2.0 x 10- 4 1.3 X 10- 4 0.021 -3.11 D Is [8039.3] 21536.8 33972.3 4 2 2.3 x 10- 4 1.1 x 10- 4 0.012 -3.36 D Is [8038.9] 21536.8 33972.9 4 4 2.3 X 10- 5 2.2 x lO-5 0.0023 -4.06 D Is

9 3d-4f 2 D _2F

° 15165 21535.4 28127.7 10 14 0.16 0.75 370 0.88 D 1

15163.1 21534.4 28127.7 6 8 0.15 0.71 210 0.63 D Is 15168.4 21536.8 28127.7 4 6 0.15 0.75 150 0.48 D Is [15163] 21534.4 28127.7 6 6 0.010 0.036 11 -0.67 D Is

10 3d- 5/ 2 D — 2p° 11022.3 21535.4 30605.6 10 14 0.066 0.17 61 0.23 D 1 (9)

11 3d-6f 2 D _2F

° 9596.5 21535.4 31953.0 10 14 0.035 0.068 22 -0.17 D 1 (10)

9595.60 21534.4 31953.0 6 8 0.035 0.065 12 -0.41 D Is 9597.76 21536.8 31953.0 4 6 0.033 0.068 8.6 -0.57 D Is 9595.60 21534.4 31953.0 6 6 0.0024 0.0032 0.61 -1.71 D Is

12 3d — If 2 D _ 2 F

o 8903.0 21535.4 32764.5 10 14 0.021 0.035 10 -0.45 D 1

[8902.2] 21534.4 32764.5 6 8 0.021 0.034 5.9 -0.70 D Is [8904. 1 ] 21536.8 32764.5 4 6 0.020 0.035 4.1 -0.85 D Is [8902.2] 21534.4 32764.5 6 6 0.0014 0.0017 0.30 -1.99 D Is 227
Kl. Allowed Transitions — Continued

No. Transition Multiplet \(A) Ej( cm -1

) Fa-

(

cm- 1 ) Array

13 3d— 8/

" D - -F° 8504.2 21535.4 33291.0

[8503.5] 21534.4 33291.0

[8505.3] 21536.8 33291.0

[8503.5] 21534.4 33291.0

14 3d -9/ 2 D _2F

° 8250.9 21535.4 33652.0

[8250.2] 21534.4 33652.0

[8251.7] 21536.8 33652.0

[8250.2] 21534.4 33652.0

15 4s — 4/;

2 S _ 2 po 7676.2 0.0 13023.7

(1)

7664.91 0.0 13042.9

7698.98 0.0 12985.2

16 45 — 5/;

2 S _ 2 po 4045.2 0.0 24713.9

(3)

4044.15 0.0 24720.2

4047.21 0.0 24701.4

17 4s — 6/; 2 S -2P

o 3446.7 0.0 29004.9

(4) 3446.38 0.0 29007.7

3447.41 0.0 28999.3

18 45 — Ip 2 S _2P

o 3217.3 0.0 31073.0

(1 uv)

3217.15 0.0 31074.5

3217.62 0.0 31070.0

19 4.s — 8/; 2 S _2P

0 3101.9 0.0 32229.0

(2 uv)

20 4s — 9p

2 S _2P

° 3034.8 0.0 32941 .5 (3 uv)

21 4s — 10/; 2 S _2P

o 2992.2 0.0 33411.1

(4 uv)

22 45 — 11/; 2g _ 2po 2963.2 0.0 33737.1

(5 uv)

23 4s — 12/; 2g 2po 2942.7 0.0 33972.7

(6 uv)

24 45 — 13/; 2g 2p° 2927.5 0.0 34148.5

25 4/; — 55 2po 2g 12492 13023.7 21026.8

(5) 12522.1 13042.9 21026.8

12432.2 12985.2 21026.8

26 4/; — 65 2 P°-2S 6929.5 13023.7 27450.7

[6938.8] 13042.9 27450.7

[6911.1] 12985.2 27450.7

27 4/; — 75 *0 0 1 to CD 5795.3 13023.7 30274.3

[5801.8] 13042.9 30274.3

[5782.4] 12985.2 30274.3

28 4/; — 85 2 P

o_2S 5334.3 13023.7 31756.0

[5339.8] 13042.9 31756.0

[5323.4] 12985.2 31756.0

r-*k -TuOO8 sec

-1

)

Jik S( at. u.) log Accuracy

Source

14 0.014 0.021 5.9 -0.68 D 1

8 0.014 0.020 3.4 -0.92 D Is 6 0.013 0.021 2.4 -1.08 D Is 6 9.2X10 -4 0.0010 0.17 -2.22 D Is

14 0.0095 0.014 3.7 -0.87 D 1

8 0.0096 0.013 2.1 -1.11 D Is 6 0.0089 0.014 1.5 -1.26 D Is 6 6.4X10 -4 6.5X10 0.11 -2.41 D Is

6 0.385 1.02 51.6 0.310 B+ 2.3.4.

! 5.1 4 0.387 0.682 34.4 0.135 B+ Is 2 0.382 0.339 17.2 -0.169 B+ Is

6 1 0.0124 0.0091 0.242 -1.74 C In

4 0.0124 0.0061 0.161 -1.91 C Is 2 0.0124 0.00305 0.081 -2.215 C Is

6

| 0.00168 9.OXIO- 4 0.0204 -2.74 C In

4

' 0.00168 6.OXIO- 4

' 0.0136 -2.92 C Is 6 0.00168 2.99X10-4 0.0068 -3.223 C Is

6

’ 4.60 X 10 -4 2.14X10-4 0.00453 -3.369 C In

4 4.61 XIO -4 1.43X10-4 0.00303 -3.54 C Is 2 4.57X10 -4

7.1 x 10 -3 0.00150 -3.85 C Is

6 1.84X10 -4 8.OXIO-5 0.00164 -3.80 c 7 n

6 9.4X10 -5 3.90X10 -5 7.8X10-4 -4.108 c In

6 5.4X10 -5 2.19X10-5 4.31X10-4 -4.359 c In

6 3.3X10 -5 1.3X10 -5 2.5X10-4 -4.59 D extrap.

6 2.4X10 -5 9.2X10 -6 I.8XIO-4 -4.74 D extrap.

6 1.7X10 -5 6.7X10 - ' 1.3X10-4 -4.87 D extrap.

2 0.235 0.183 45.1 0.041 C 8

2 0.156 0.183 30.2 -0.136 C Is 2 0.079 0.183 15.0 -0.437 C Is

2 0.082 0.0196 2.69 -0.93 C 8. 9

2 0.054 0.0196 1.78 -1.108 c Is 2 0.0272 0.0196 0.89 -1.409 c Is

2 0.0369 0.0062 0.71 -1.430 c 8. 9

2 0.0246 0.0062 0.474 -1.61 c Is 2 0.0123 0.0062 0.235 -1.91 c Is

2 0.0189 0.00269 0.283 -1.79 c 8, 9

2 0.0126 0.00269 0.189 -1.97 c Is 2 0.0063 0.00268 0.094 -2.271 c Is

10

6

4

6

10

6

4

6

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

6

4

2

6

4

2

6

4

2

6

4

2 228
Kl. Allowed Transitions — Continued

No. Transition

Array

Multiplet A (A) £i(cm _l

) Ek (cm-') f*i 4Aw (10* sec

-1

)

Jik S (at. u.) log fif Accuracy Source

29 4p — 9s 2 P

o_2S 5094.3 13023.7 32648.2 6 2 0.0105 0.00136 0.137 -2.088 c 8, 9

[5099.2] 13042.9 32648.2 4 2 0.0070 0.00136 0.092 -2.263 c Is [5084.3] 12985.2 32648.2 2 2 0.00350 0.00136 0.0454 -2.57 c Is

30 4p— 10s 2 P° — “S 4951 .4 13023.7 33214.4 6 2 0.0064 7.8 X 10-4 0.077 -2.327 c- 8, 9

[4956.1] 13042.9 33214.4 4 2 0.00425 7.8 x 10-4 0.051 -2.50 c- Is [4942.0] 12985.2 33214.4 2 2 0.00213 7.8 X 10-4 0.0254 -2.81 c- Is

31 4p — 1 Is 2 P°- 2 S 4859.0 13023.7 33598.2 6 2 0.0043 5.1 x 10-4 0.049 -2.51 c- interp.

[4863.6] 13042.9 33598.2 4 2 0.0029 5.1 x 10-4 0.033 -2.69 c- Is [4850.0] 12985.2 33598.2 2 2 0.0014 5.1 x lO"4 0.016 -2.99 c- Is

32 4// — 12s 2 P° — 2 S 4795.7 13023.7 33869.7 6 2 0.00310 3.57 x 10~4 0.0338 -2.61 c- 1, 9

[4800.2] 13042.9 33869.7 4 2 0.00207 3.57 x 10-4 0.0225 -2.78 c- Is [4786.9] 12985.2 33869.7 2 2 0.00103 3.57 x 10-4 0.0112 -3.083 c- Is

32 4p— 13s 2 P° — 2 S 4750.3 13023.7 34069.3 6 2 0.0024 2.7 x 10-4 0.025 -2.79 c- extrap.

[4754.6] 13042.9 34069.3 4 2 0.0016 2.7 x 10-4 0.017 -2.97 c- Is [4741.6] 12985.2 34069.3 2 2 8.0 X lO"4 2.7 X 10-4 0.0084 -3.27 c- Is

34 4p — 3d

2 P°2 D 11745 13023.7 21535.4 6 10 0.262 0.90 209 0.73 c 5,8

(6) 11772.8 13042.9 21534.4 4 6 0.259 0.81 125 0.51 c Is 11690.2 12985.2 21536.8 2 4 0.220 0.90 69 0.255 c Is 11769.7 13042.9 21536.8 4 4 0.0434 0.090 14.0 — 0.444 c Is

35 4/> —4d

2 P° — 2 0 6955.2 13023.7 27397.4 6 10 3.1 x 10-4 3.7 x 10-4 0.051 -2.65 E 8n , 9/? (7) 6964.69 13042.9 27397.0 4 6 3.1 x 10-4 3.4 X lO"4 0.031 -2.87 E Is 6936.27 12985.2 27398.1 2 4 2.6 X 10-4 3.7 X 10-4 0.017 -3.13 E Is 6964.18 13042.9 27398.1 4 4 5.1 x 10-5 3.7 X 10-5 0.0034 -3.83 E Is

36 4/; — 5d 2 P° — 2 D 5825.3 13023.7 30185.4 6 10 0.0033 0.0028 0.32 - 1.77 D 8n. 9n

[5831.9] 13042.9 30185.2 4 6 0.0032 0.0025 0.19 -2.00 D Is [5812.2] 12985.2 30185.7 2 4 0.0028 0.0029 0.11 -2.24 D Is [5831.7] 13042.9 30185.7 4 4 5.4 X 10-4 2.7 x 10-4 0.021 -2.97 D Is

37 4p —6d 2 P° — 2 D 5354.1 13023.7 31695.6 6 10 0.0046 0.0033 0.35 -1.70 D 8n. 9n

[5359.7] 13042.9 31695.5 4 6 0.0046 0.0030 0.21 -1.92 D Is [5343.11 12985.2 31695.8 2 4 0.0040 0.0034 0.12 -2.17 D Is [5359.6] 13042.9 31695.8 4 4 7.6 X 10-4 3.3 X lO” 4 0.023 -2.88 D Js

38 4/> — 7r/ 2 P° — 2 D 5107.2 13023.7 32598.5 6 10 0.0035 0.0023 0.23 -1.86 D 8/i.9/i

[5112.2] 13042.9 32598.5 4 6 0.0035 0.0021 0.14 -2.08 D Is [5097.2] 12985.2 32598.5 2 4 0.0029 0.0023 0.077 -2.34 D Is [5112.2], 13042.9 32598.5 4 4 5.7 X 10- 4 2.2 X 10-4 0.015 -3.06 D /<

39 4 2 P°- 2 D 4960.2 13023.7 33178.4 6 10 0.0026 0.0016 0.16 -2.02 D 8/1.9/

[4965.0] 13042.9 33178.4 4 6 0.0026 0.0015 0.096 -2.22 D Is [4950.8] 12985.2 33178.4 2 4 0.0022 0.0016 0.053 -2.49 D Is [4965.0] 13042.9 33178.4 4 4 4.6 X 10-4 1.7 X 10-4 0.011 -3.17 D Is

229
Kl. Allowed Transitions — Continued

No. Transition

Array

Multiplet mA) E,( cm- 1 ) ft(cnr') £*k Tn-(10 8 sec

-1

)

Jik S (at. u.

log a/ Accuracy Source

40 4p —g?

2 P°- 2 D 4865.2 13023.7 33572.1 6 10 0.0020 0.0012 0.12 -2.14 D 8n, 9n

[4869.8] 13042.9 33572.1 4 6 0.0021 0.0011 0.072 -2.36 D Is [4856.1] 12985.2 33572.1 2 4 0.0018 0.0013 0.040 -2.59 D Is [4869.8] 13042.9 33572.1 4 4 3.5 X 10-4 1.2 X lO-4 0.0080 -3.32 D Is

41 4p— 10c? 2 P°- 2 D 4799.9 13023.7 33851.8 6 10 0.0016 9.0 X lO-4 0.085 -2.27 D ln.9n

[4804.3] 13042.9 33851.8 4 6 0.0016 8.1 x lO-4 0.051 -2.49 D Is [4791.0] 12985.2 33851.8 2 4 0.0013 8.9 x lO-4 0.028 -2.75 D Is [4804.3] 13042.9 33851.8 4 4 2.6 x 10-4 9.0 x lO-5 0.0057 -3.44 D Is

42 4p — 11c? 2 P°- 2 D 4753.1 13023.7 34056.9 6 10 0.0012 6.6 X lO-4 0.062 -2.40 D 1

[4757.4] 13042.9 34056.9 4 6 0.0012 5.9 X lO-4 0.037 -2.63 D Is [4744.4] 12985.2 34056.9 2 4 9.8 x 10-4 6.6 x lO -4 0.021 -2.88 D Is [4757.4] 13042.9 34056.9 4 4 1.9 x 10-4 6.6 x 10-5 0.0041 -3.58 D Is

43 4c?— 6p 2 D — 2 P° 62191 27397.4 29004.9 10 6 0.0086 0.30 610 0.48 D 1

[62068] 27397.0 29007.7 6 4 0.0078 0.30 370 0.26 D Is [62436] 27398.1 28999.3 4 2 0.0083 0.24 200 -0.02 D Is [62110] 27398.1 29007.7 4 4 8.7 x lO -4 0.050 41 -0.70 D Is

44 4c?— Ip 2 D _2P

° 27199 27397.4 31073.0 10 6 0.0029 0.019 17 -0.72 D 1

[27185] 27397.0 31074.5 6 4 0.0025 0.019 10 -0.94 D Is [27226] 27398.1 31070.0 4 2 0.0029 0.016 5.7 -1.19 D Is [27193] 27398.1 31074.5 4 4 2.8 x lO -4 0.0031 1.1 -1.91 D Is

45 4c?— 8p 2 D_2P

° 20691 27397.4 32229.0 10 6 0.0015 0.0059 4.0 -1.23 D 1

[20685] 27397.0 32230.1 6 4 0.0014 0.0059 2.4 -1.45 D Is [20701] 27398.1 32227.4 4 2 0.0015 0.0048 1.3 -1.72 D Is [20690] 27398.1 32230.1 4 4 1.5 x 10-4 9.9 x lO-4 0.27 -2.40 D Is

46 4c? — 9p 2D- 2 P

° 18032 27397.4 32941 .5 10 6 9.2 x lO-4 0.0027 1.6 -1.57 D 1

[18029] 27397.0 32942.1 6 4 8.3 X lO -4 0.0027 0.96 - 1.79 D Is [18038] 27398.1 32940.3 4 2 9.1 x-10-4 0.0022 0.53 -2.06 D Is [18033] 27398.1 32942.1 4 4 9.5 X lO-5 4.6 X lO-4 0.11 -2.74 D Is

47 4c?— lOp 2 D _2P

° 16624 27397.4 33411.1 10 6 6.0 X lO-4 0.0015 0.82 -1.82 D 1

[16622] 27397.0 33411.5 6 4 5.4 x lO-4 0.0015 0.49 -2.05 D Is [16628] 27398.1 33410.3 4 2 6.0 X lO-4 0.0012 0.27 -2.32 D Is [16625 27398.1 33411.5 4 4 6.1 x lO-5 2.5 X lO-4 0.055 -3.00 D Is

48 4c? — 1 lp 2 D _2P

° 15769 27397.4 33737.1 10 6 4.2 X lO -4 9.5 x lO-4 0.49 -2.02 D 1

[15768] 27397.0 33737.4 6 4 3.7 x 10-4 9.3 x lO-4 0.29 -2.25 D Is [15772] 27398.1 33736.6 4 2 4.1 x lO-4 7.7 x lO-4 0.16 -2.51 D Is [15770] 27398.1 33737.4 4 4 4.3 x lO-5 1.6 X 10-4 0.033 -3.19 D Is

49 4c?— 12p 2 D_2P

° 15204 27397.4 33972.7 10 6 3.1 X lO-4 6.4 X lO-4 0.32 -2.19 D 1

[15203] 27397.0 33972.9 6 4 2.7 x lO-4 6.3 x lO-4 0.19 -2.42 D Is [15207] 27398.1 33972.3 4 2 3.2 x lO-4 5.5 x lO-4 0.11 -2.66 D Is [15205] 27398.1 33972.9 4 4 3.0 X lO-5 1.0 x 10-4 0.021 -3.40 D Is

50 4c?— 13p 2 D _2P

° 14808 27397.4 34148.5 10 6 2.3 x lO-4 4.6 x 10-4 0.22 -2.34 D 1

[14807] 27397.0 34148.6 6 4 2.1 X lO-4 4.6 x lO-4 0.13 -2.56 D Is [14811] 27398.1 34148.2 4 2 2.3 x lO -4 3.8 X lO-4 0.075 -2.82 D Is [14810] 27398.1 34148.6 4 4 2.3 X lO-5 7.6 X lO-5 0.015 -3.52 D Is

51 4c?— 4/ 2D- 2 F° 136900 27397.4 28127.7 10 14 8.9 x 10-4 0.35 1600 0.54 D 1

230
Kl. Allowed Transitions — Continued

No. Transition

Array

Multiplet a(A) Ej{ cm -

1

) /'/•(cm -1) ft ft' 4 a/

(

10 H sec

-1

)

//*• .S' (at. u.) Accuracy

Source

52 4<i—5/ 2 D- 2 F° 31162 27397.4 30605.6 10 14 0.020 0.40 410 0.60 D 1

53 4(7—6/ 2 D- 2 F° 21945 27397.4 31953.0 10 14 0.014 0.14 100 0.15 D 1

54 4(7-7/ 2 D- 2 F° 18627 27397.4 32764.5 10 14 0.0088 0.064 39 -0.19 D 1

55 4(7-8/ 2 D- 2F° 16963 27397.4 33291.0 10 14 0.0060 0.036 20 -0.44 D 1

56 4(7-9/ 2 D- 2 F° 15984 27397.4 33652.0 10 14 0.0043 0.023 12 -0.64 D 1

57 5s — 5p "S — 2p° 27114 21026.8 24713.9 2 6 0.045 1.5 270 0.48 D 1

[27068] 21026.8 24720.2 2 4 0.046 1.0 180 0.30 D Is [27206] 21026.8 24701.4 2 2 0.045 0.50 90 0.00 D Is

58 5s — 6p "S — 2p° 12531 21026.8 29004.9 2 6 0.0045 0.032 2.6 -1.20 D 1

[12526] 21026.8 29007.7 2 4 0.0045 0.021 1.7 -1.38 D Is [12540] 21026.8 28999.3 2 2 0.0045 0.011 0.87 -1.68 D Is

59 5s — 7p

2 S~ 2 P° 9951 .3 21026.8 31073.0 2 6 0.0014 0.0060 0.39 -1.92 D 1

[9950.5] 21026.8 31074.5 2 4 0.0014 0.0040 0.26 -2.10 D Is [9955.2] 21026.8 31070.0 2 2 0.0014 0.0020 0.13 -2.40 D Is

60 5s — 8p 2 S- 2 P° 8924.4 21026.8 32229.0 2 6 5.9 X 10-4 0.0021 0.13 -2.37 D 1

[8923.5] 21026.8 32230.1 2 4 5.9 x 10-4 0.0014 0.083 -2.55 D Is [8925.6] 21026.8 32227.4 2 2 5.9 X 10-4 7.1 X 10“4 0.042 -2.85 C Is

61 5s — 9p 2 S _2P

° 8390.7 21026.8 32941 .5 2 6 3.2 x 10-4 0.0010 0.056 - 2.69 D 1

[8390.3] 21026.8 32942.1 2 4 3.2 x 10-4 6.7 X 10~4 0.037 -2.87 D Is [8391.5] 21026.8 32940.3 2 2 3.2 x 10-4 3.3 X lO -4 0.019 -3.17 D Is

62 5s — lOp 2 S- 2 P° 8072.5 21026.8 33411.1 2 6 1.9 X 10 -4 5.7 X lO -4 0.030 -2.94 L 1

63 5s — 1 lp 2 S _2P

o 7865.5 21026.8 33 737.1 2 6 1.3 x 10-4 3.5 X lO -4 0.018 -3.15 D 1

64 5s — 12p 2 S- 2 P° 7722.3 21026.8 33972.7 2 6 8.9 x 10-5 2.4 x lO -4 0.012 -3.32 D 1

65 5s — 13p 2 S _2P

° 7618.9 21026.8 34148.5 2 6 6.5 x 10-3 1.7 X 10-4 0.0085 -3.47 D 1

66 5s— 14p 2 S _2P

o 7541 .5 21026.8 34283.1 2 6 4.9 x 10-3 1.3 x 10~4 0.0063 -3.60 D 1

67 5p — 6s 2 P

°_2S 36529 24713.9 27450.7 6 2 0.048 0.32 230 0.28 D 1

[36613] 24720.2 27450.7 4 2 0.032 0.32 150 0.11 D Is [36363] 24701.4 27450.7 2 2 0.016 0.32 77 -0.19 D Is

68 5p — 7s 2 p

°_,S 17979 24713.9 30274.3 6 2 0.017 0.027 9.6 -0.79 D 1

[18000] 24720.2 30274.3 4 2 0.011 0.027 6.4 -0.97 D Is [17939] 24701.4 30274.3 2 2 0.0056 0.027 3.2 -1.27 D Is

69 5p — 8s 2po_,S 14178 24713.9 31765.0 6 2 0.0087 0.0087 2.4 -1.28 D 1

[14191] 24720.2 31765.0 4 2 0.0058 0.0087 1.6 -1.46 D Is [14153] 24701.4 31765.0 2 2 0.0029 0.0087 0.81 -1.76 D Is

70 5p — 9s 2 P° — "S 7 2600 24713.9 32648.2 6 2 0.0052 0.0041 1.0 -1.61 D 1

[12610] 24720.2 32648.2 4 2 0.0034 0.0041 0.68 -1.79 D Is [12580] 24701.4 32648.2 2 2 0.0017 0.0041 0.34 -2.09 D Is

231
K I. Allowed Transitions — Continued

No. Transition

Array

Multiplet A(A) £/(cm->) Ek ( cm-') ffi Ted 10* sec

-1

)

Jik S( at. u.) log df Accuracy

Source

71 5p — 10s "P° — "S 11761 24713.9 33214.4 6 2 0.0033 0.0023 0.54 -1.85 D 1

[11770] 24720.2 33214.4 4 2 0.0022 0.0023 0.36 -2.03 D Is [11744] 24701.4 33214.4 2 2 0.0011 0.0023 0.18 -2.33 D Is

72 5p — 11s “P° — “S 11253 24713.9 33598.2 6 2 0.0023 0.0015 0.33 -2.06 D 1

[11261] 24720.2 33598.2 4 2 0.0015 0.0015 0.22 -2.23 D Is [11237] 24701.4 33598.2 2 2 7.7 X lO-4 0.0015 0.11 -2.53 D Is

73 5p — 12s “P° — “S 10919 24713.9 33869.7 6 2 0.0016 9.6 x lO-4 0.21 -2.24 D 1

[10927] 24720.2 33869.7 4 2 0.0011 9.6 x 10-4 0.14 -2.42 D Is [10904] 24701.4 33869.7 2 2 5.4 x lO-4 9.6 X 10-4 0.069 -2.72 D Is

74 5p — 13s “P° — “S 10686 24713.9 34069.3 6 2 0.0012 6.6 x lO-4 0.14 -2.40 D 1

[10693] 24720.2 34069.3 4 2 7.7 X lO-4 6.6 X lO-4 0.093 -2.58 D Is [10672] 24701.4 34069.3 2 2 3.9 x 10"4 6.6 x 10-4 0.046 -2.88 D Is

75 5p — 4c? 2 p° — ” D 37255 24713.9 27397.4 6 10 0.035 1.2 880 0.86 D 1

[37348] 24720.2 27397.0 4 6 0.034 1.1 530 0.64 D Is [37072] 24701.4 27398.1 2 4 0.029 1.2 290 0.38 D Is [37333] 24720.2 27398.1 4 4 0.0057 0.12 59 -0.32 D Is

76 5p — 5d 2 P

°_>D 18272 24713.9 30185.4 6 10 9.3 X 10"4 0.0078 2.8 -1.33 D 1

[18298] 24720.2 30185.2 4 6 9.4 x 10-4 0.0071 1.7 -1.55 D Is [18229] 24701.4 30185.7 2 4 7.8 X 10-4 0.0077 0.93 -1.81 D Is [18292] 24720.2 30185.7 4 4 1.6 X 10~4 7.9 x 10-4 0.19 -2.50 D Is 77 5p — 6d 2p°_,D 14319 24713.9 31695.6 6 10 2.9 X lO-6 1.5 x 10-3 0.0042 -4.05 D- 1

[14332] 24720.2 31695.5 4 6 2.9 x 10 -6 1.3 x lO -3 0.0025 -4.28 D- Is [14293] 24701.4 31695.8 2 4 2.4 X lO -6 1.5 x 10-3 0.0014 -4.52 D- Is [14332] 24720.2 31695.8 4 4 4.8 X lO-7 1.5 x 10-6 2.8 X lO-4 -5.22 D- Is 78 'Up — Id 2 P°_2D 12679 24713.9 32598.5 6 10 1.2 x 10"4 4.6 x lO-4 0.12 -2.56 D 1

[12690] 24720.2 32598.5 4 6 1.2 x lO-4 4.2 x lO-4 0.070 -2.78 D Is [12659] 24701.4 32598.5 2 4 9.7 X lO-5 4.6 x 10 -4 0.039 -3.03 D Is [12690] 24720.2 32598.5 4 4 1.9 x lO-5 4.6 x lO-5 0.0078 -3.73 D Is

79 5p — 8d 2 P° — ^ D 11811 24713.9 33178.4 6 10 1.7 x lO-4 6.0 X lO-4 0.14 — 2.44 D 1

[11820] 24720.2 33178.4 4 6 1.7 x lO-4 5.4 x lO-4 0.084 -2.67 D Is [11793] 24701.4 33178.4 2 4 1.4 x lO-4 6.0 x lO-4 0.047 -2.92 D Is [11820] 24720.2 33178.4 4 4 2.9 X 10- 5 6.0 x 10- 3 0.0093 -3.62 D Is

80 5p-9d to -13O 1 rc o 11286 24713.9 33572.1 6 10 1.8 x lO-4 5.7 x lO-4 0.13 -2.47 D 1

[11294] 24720.2 33572.1 4 6 1.8X lO -4 5.1 x lO -4 0.076 -2.69 D Is [11270] 24701.4 33572.1 2 4 1.5 X lO -4 5.7 x lO-4 0.042 -2.94 D Is [11294] 24720.2 33572.1 4 4 3.0 x lO-5 5.7 x 10-3 0.0085 -3.64 D Is

81 5p — 10f/ 2 p°_2 D 10940 24713.9 33851.8 6 10 1.6 x lO-4 4.8 x lO-4 0.10 -2.54 D 1

[10948] 24720.2 33851.8 4 6 1.6 x lO-4 4.3 x lO-4 0.062 -2.76 D Is [10925] 24701.4 33851.8 2 4 1.3 x lO-4 4.8 X lO -4 0.035 -3.02 D Is [10948] 24720.2 33851.8 4 4 2.7 x lO -5 4.8 x lO-3 0.0069 -3.72 D Is

82 5p — llr/ 2 po_2D 10700 24713.9 34056.9 6 10 1.4 x 10-4 4.1 x lO-4 0.087 -2.61 D 1

[10707] 24720.2 34056.9 4 6 1.4 x lO-4 3.7 x lO-4 0.052 -2.83 D Is [10686] 24701.4 34056.9 2 4 1.2 x 10-4 4.1 x lO -4 0.029 -3.09 D Is [10707] 24720.2 34056.9 4 4 2.4 x 10-3 4.1 x lO-3 0.0058 -3.78 D Is

232
Km

Ground State ls22s22p63s23/r5 2 P^/2

Ionization Potential 46 eV^ 369000 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A) No. Wavelength [A] No. Wavelength [A] No.

765.644 1 2992.24 3 3289.06 5 778.528 1 3023.4 3 3322.40 2 2550.02 4 3052.07 3 3358.5 2 2635.11 4 3056.84 3 3364.22 6

2689.90 4 3061.2 6 3420.82 2

2877.4 3 3201.95 6 3421.83 5 2938.45 3 3209.34 6 3448.0 2 2954.3 3 3254.0 5 3468.32 2 2986.20 3 3278.79 2 3513.88 2

Bagus [1J has calculated a value for one multiplet of this ion using the self-consistent field

method; this number should be uncertain since the possibly important effects of configuration interaction have been neglected entirely. For several other transitions the Coulomb approximation has

been employed in order to have some data available for the more prominent lines in this spectrum.

From the general success of this method and from comparisons with analogous transitions in other

ions, uncertainties of 50 percent are expected; however these estimates should be regarded as

provisional.

Reference

[1] Bagus. P. S., U.S. Atomic Energy Commission ANL—6959 (1964).

Kill. Allowed Transitions

No. Transition

Array

Multiplet A (A) Ei(rm ~'

)

Fa (cm- 1 ) A' A' C/(10«

sec-'

)

.//A- S( at. u.) log fif Accuracy Source

1 3s2 3//’ — 2 P° — 2 S 769.89 721 130609 6 2 73 0.22 3.3 0.11 E 1 3s3p6 (1 uv)

765.644 0 130609 4 2 50 0.22 2.2 -0.06 E Is 778.528 2162 130609 2 2 23 0.21 1.1 -0.37 E Is

2 3/>44s — U *0 1 *0o 3375.2 208184 237803 12 12 1.8 0.30 40 0.56 D C(l 3/>4

( 3 P)4/> (1) 3322.40 207422 237512 6 6 1.3 0.21 14 0.10 D Is 3420.82 208688 237912 4 4 0.23 0.040 1.8 -0.80 E Is [3448.0] 209461 238455 2 2 0.28 0.050 1.1 -1.00 E Is 3278.79 207422 237912 6 4 0.86 0.092 6.0 -0.26 D- Is [3358.5] 208688 238455 4 2 1.5 0.13 5.6 -0.30 D- Is 3468.32 208688 237512 4 6 0.48 0.13 5.9 -0.28 D- Is 3513.88 209461 237912 2 4 0.65 0.24 5.6 -0.32 D- Is

3

4 P

4 D° 3005.1 208184 241451 12 20 2.5 0.56 67 0.83 D ca

(2) (7 uv) 2992.24 207422 240830 6 8 2.5 0.45 27 0.43 D Is 3052.07 208688 241444 4 6 1.7 0.35 14 0.15 D Is 3056.84 209461 242165 2 4 1.0 0.28 5.6 -0.25 D- Is 2938.45 207422 241444 6 6 0.77 0.10 5.8 -0.22 D- Is 2986.20 208688 242165 4 4 1.3 0.18 7.1 -0.14 D- Is [3023.4] 209461 242527 2 2 2.1 0.29 5.7 -0.24 D- Is [2877.4] 207422 242165 6 4 0.14 0.012 0.66 - 1.15 E Is [2954.3] 208688 242527 4 2 0.44 0.029 1.1 -0.94 E Is

233
Kill. Allowed Transitions — Continued

No. Transition Multiplet mA) E,( cm ') Ek( cnr 1 ) gi gk ^•(io8 fik S(at.u.) log gf Accu- Source

Array sec *) racy

4 2 P-2 D° 2600.5 208184 246626 12 4 3.8 0.13 13 0.19 D ca

(8 uv)

2550.02 207422 246626 6 4 2.0 0.13 6.5 -0.11 D Is 2635.11 208688 246626 4 4 1.2 0.13 4.5 -0.28 D Is 2689.90 209461 246626 2 4 0.60 0.13 2.3 -0.59 D Is

5

2 P _ 2 p° 3329.6 213227 243252 6 10 1.9 0.53 35 0.50 D ca

(4) 3289.06 212725 243121 4 6 2.0 0.49 21 0.29 D Is 3421.83 214232 243448 2 4 1.5 0.53 12 0.03 D Is [3254.0] 212725 243448 4 4 0.35 0.055 2.4 -0.66 E Is

6 1 o 3204.4 213227 244425 6 6 2.2 0.34 22 0.31 D ca

(5) 3201.95 212725 243947 4 4 1.8 0.28 12 0.05 D Is 3209.34 214232 245382 2 2 1.5 0.23 4.9 -0.34 D Is [3061.2] 212725 245382 4 2 0.88 0.062 2.5 -0.61 D- Is 3364.22 214232 243947 2 4 0.32 0.11 2.4 -0.66 D- Is

K III. Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).Kill. Forbidden Transitions

No.

Transition

Array Multiplet MA) Ed cm 1 ) EM cm v

) gi gk

Type of

Transition Aki ( sec ’) S(at.u.)

Accuracy Source

1 3p 3 — 3p5 2p° 2p°

[46240] 0 2162 4 2 m 0.181 1.33 A 1

Kiv

Ground State ls22s2 2p63s2 3p4 3 Po

Ionization Potential 60.90 eV = 491300 cm-1

Allowed Transitions

A value is available for one multiplet of this ion from the screening-approximation calculations

of Varsavsky [ 1] . This result should be quite uncertain (probably too high, as judged from comparisons in other ions), since the possibly important effects of configuration interaction have not been

taken into account.

234
Reference

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).

K IV. Allowed Transitions

No. Transition

Array

Multiplet a(A) £,(cm ') Edcm ') gi 1 0* sec

-1

) fx S(at.u.) log gf Accuracy

Source

1 3s23p4 — 3 p 3 p° 745.66 816 134926 9 9 87 0.72 16 0.81 E 1 3s3/r5 [745.26] 0 134181 5 5 64 0.53 6.5 0.42 E Is [746.35] 1673 135659 3 3 21 0.18 1.3 -0.27 E Is [737.14] 0 135659 5 3 37 0.18 2.2 -0.05 E Is [741.95] 1673 136453 3 1 84 0.23 1.7 -0.18 E Is [754.67] 1673 134181 3 5 21 0.30 2.2 -0.05 E Is [749.99] 2324 135659 1 3 27 0.69 1.7 -0.16 E Is

Kiv

Forbidden Transitions

As in the case of NalV the adopted values are taken from Naqvi [1], and Malville and Berger

[2]. For a discussion on the selection of values see Na IV, since the same criteria have been applied.

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M. and Berger, R. A., Planetary and Space Science 13, 1131 (1965).

K IV. Forbidden Transitions

No.

Transition

Array Multiplet MA) Ej {cm 1 ) Fa-

(

cm ') gi gk

Type of

Transition Aki{ sec ') S ( at.u.) Accuracy Source

1 3p4 —3p4 3p_sp

[59757] 0 1673 5 3 e 1.77 X 10-6 2.41 c- 1. 2 [59757] 0 1673 5 3 m 0.105 2.49 B 1 [43018] 0 2324 5 1 e 1.22 X lO-5 1.07 c- 2 [15.36 x 104

] 1673 2324 3 1 m 0.0148 1.99 B 1

2 3P — >D

(IF)

6101.83 0 16384.0 5 5 e 0.0032 0.080 D- 1. 2 6101.83 0 16384.0 5 5 m 0.83 0.0351 C 1. 2 6794.8 1673 16384.0 3 5 e 2.6 X 10-4 0.011 D- 1. 2 6794.8 1673 16384.0 3 5 m 0.201 0.0117 C 1. 2 [7110.4] 2324 16384.0 1 5 e 6.0 X 10-5 0.0032 D- 2

3

3 p_is

[2593.5] 0 38546 5 1 e 0.086 0.0060 D- 2 [2711.2] 1673 38546 3 5 m 10.4 0.0077 C 2

4 ‘D-iS

(2F)

4510.9 16384.0 38546 5 1 e 3.9 4.34 c- 2

308-022 0-69—18

235
Kv

Ground State ls2 2s22p63s2 3p3 4 S£/2

Ionization Potential 82.6 eV

Allowed Transitions

A value is available for one multiplet of this ion from the screening-approximation calculations

of Varsavsky [1]. This result should be quite uncertain (probably too high, as judged from comparisons in other ions), since the possibly important effects of configuration interaction have not been

taken into account.

Reference

[1] Varsavsky. C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).

Kv. Allowed Transitions

No. Transition

Array

Multiplet \(A) EKcm-1

) G(cm-‘) gk Aki (lW

sec

-1

)

fik S(at.u.) log gf Accuracy

Source

1 3s2 3p3 —3s3p4 4 S° — 4 P 727.44 0 137468 4 12 40 0.96 9.2 0.58 E 1

[731.86] 0 136639 4 6 40 0.48 4.6 0.28 E Is [724.42] 0 138042 4 4 41 0.32 3.1 0.11 E Is [720.43] 0 138806 4 2 41 0.16 1.5 -0.19 E Is

K v

Forbidden Transitions

For this ion all the values have been taken from Garstang [1] who has applied refined methods

for calculating the magnetic dipole and electric quadrupole line strengths.

Reference

[1 ] Garstang, R. H., I.A.U. Symposium #34 on Planetary Nebulae held at Tatranska Lomnica. Czechoslovakia, Sept. (1967).

236
Kv. :Forbidden Transitions

No.

Transition

Array Multiplet x(A) Ei( cm ') ft(cin^) gi gk

Type of

Transition /Msec ') S(at.u.)

Accuracy Source

1 3/r3 — 3/>3 4 S° — 2 D°

(IF)

4122.63 0 24249.5 4 6 m 0.0025 3.90 X 10-5 C 1 4122.63 0 24249.5 4 6 e 0.0044 0.019 D 1 4163.30 0 24012.7 4 4 m 0.109 0.00117 C 1 4163.30 0 24012.7 4 4 e 0.0027 0.0080 D 1

2 4g°_ -2p° [2495.3] 0 40064 4 4 m 6.5 0.0150 C 1 [2495.3] 0 40064 4 4 e 7.2 x 10-5 1.7X 10-s D 1 [2515.3] 0 39745 4 2 m 2.4 0.00283 C 1 [2515.3] 0 39745 4 2 e 5.1 x 10-4 6.1 X 10-5 D 1

3

2 D° — 2 D°

[42.22 X 104

] 24012.7 24249.5 4 6 m 1.43 x 10-4 2.40 A 1 [42.22 X 104

] 24012.7 24249.5 4 6 € 3.2 x 10-i'2 0.15 D 1

4 2D°_2P°

(2F)

6316.6 24249.5 40064 6 4 m 1.1 0.0411 C 1 6316.6 24249.5 40064 6 4 e 0.36 8.6 C 1 6349.5 24012.7 39745 4 2 m 1.2 0.0228 C 1 6349.5 24012.7 39745 4 2 e 0.30 3.69 C 1 6446.5 24249.5 39745 6 2 e 0.19 2.52 C 1 6223.4 24012.7 40064 4 4 m 2.1 0.075 C 1 6223.4 24012.7 40064 4 4 e 0.16 3.56 c 1

5 2po 2p°

[31.3 X 104

] 39745 40064 2 4 m 2.91 X 10-4 1.33 B 1 [31.3 x 104

] 39745 40064 2 4 e 9.2 X IO-12 0.066 D 1

Kvi

Ground State ls22s22p63s23p2 3 P0

Ionization Potential 99.7 eV = 804513 cm-1

Allowed Transitions

A value is available for one multiplet of this ion from the screening-approximation calculations

of Varsavsky [1 J. This result should be quite uncertain (probably too high, as judged from comparisons in other ions), since the possibly important effects of configuration interaction have not been

taken into account.

Reference

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).

237
Kvi. Allowed Transitions

Vo. Transition

Array

Multiplet \(A) fifcnr1 ) ftlcnr 1

) gi gk dti (10« sec

-1

) /« S(at.u.) |loggf Accuracy

Source

1 3s23p2 —3s3p3 3p_3J)° 720.13 2001 140865 9 15 35 0.46 9.8 0.62 E 1

[724.42] 2924 140966 5 7 35 0.39 4.6 0.29 E Is [716.00] 1131 140796 3 5 28 0.35 2.5 0.02 E Is [710.51] 0 140743 1 3 21 0.47 1.1 -0.33 E Is [725.31] 2924 140796 5 5 8.7 0.069 0.82 -0.46 E Is [716.27] 1131 140743 3 3 15 0.12 0.82 -0.44 E Is [725.59] 2924 140743 5 3 0.97 0.0046 0.055 -1.64 E Is

K vi

Forbidden Transitions

As in the case of Naiv the adopted values are taken from Naqvi [1], and Malville and Berger [2]. For a discussion on the selection of values see Naiv, since the same criteria have been

applied.

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M., and Berger, R. A., Planetary and Space Science 13 , 1131 (1965).

K VI. Forbidden Transitions

No.

Transition

Array Multiplet x(A) £i(cm _1

) Ek ( cm ') gi gk

Type of

Transi

tion

Aki { sec

-1

) S(at.u.)

Accuracy Source

1 3p2 — 3p

2 3p _ 3p

>

[88390] 0 1131 1 3 m 0.0259 1.99 B 1 [34190] 0 2924 1 5 e 5.4 x 10-6 0.75 C- 2

[55760] 1131 2924 3 5 > m 0.0772 2.48 B 1 [55760] 1131 2924 3 5 e 1.05 x 10-6 1.68 C- 1. 2

2 sp — ip

(IF)

[5269.2] 0 18973 1 5 e 1.1 x 10 -4 0.0013 D- 2

5603.2 1131 18973 3 5 m 0.54 0.0177 C 1, 2 5603.2 1131 18973 3 5 e 7.4 x 10-4 0.012 D- 1, 2 6229.3 2924 18973 5 5 m 1.17 0.052 C 1, 2 6229.3 2924 18973 5 5 e 0.0030 0.085 D- 1, 2

3

3 P->S

[2367]? 1131 [43374]? 3 1 m 15.7 0.0077 c- 2 [2471]? 2924 [43374]? 5 1 e 0.14 0.0077 D- 2

4 >D->S

(2F)

4097? 18973 [43374]? 5 1 e 4.1 2.8 D- 2

238
K vii

Ground State ls22s2 2p63s23/> 2 P°/2

Ionization Potential 113 eV = 950200 cm-1

Allowed Transitions

The screening-approximation calculations of Varsavsky [1] for the 3s2 3p 2 P° — 3s3p2 2 D multiplet are considered to be rather uncertain (probably too high, as judged from comparisons in other ions)

since the important effects of configuration mixing are neglected entirely. Gruzdev and Prokofev [2] have carried out Coulomb approximation calculations modified with the Seaton correction for the

3p 2 P° — 45 2 S multiplet; these results should be reliable to within 25 percent, as judged from plots

depicting /-value dependence on nuclear charge.

References

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).

[2] Gruzdev, P. F., and Prokofev, V. K., Optics and Spectroscopy (U.S.S.R.) 21, 151-152 (1966). K VII . Allowed Transitions

No. Transition

Array

Multiplet y(A) £i(cm 1 ) ^•(cm' 1 ) gi gk /fiw(10« sec

-1

)

fik S(at. u.) log gf Accuracy

Source

1 3s23p — 3s3p2 2 P°_ >D 667.13 2086 151982 6 10 40 0.44 5.8 0.42 E 1

[671.50] 3129 152049 4 6 39 0.40 3.5 0.20 E Is [658.41] 0 151882 2 4 34 0.44 1.9 -0.06 E Is [672.26] 3129 151882 4 4 6.5 0.044 0.39 -0.75 E Is

2 3p — 0S)4s 2 P°

2 s 228.72 2086 439297 6 2 325 0.085 0.384 -0.292 C 2

[229.27] 3129 439297 4 2 l 216 0.085 0.257 - 0.469 C Is [227.64] 0 439297 2 2 109 0.085 0.127 -0.77 c Is

K vii

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).K vii. Forbidden Transitions

No.

Transition

Array Multiplet mA) 1 B Ek ( cm- 1 ) gi gk

Type of

Transition

Aki ( sec" 1 ) S(at.u.)

Accuracy Source

1 3p — FS)3p 2 p° 2 p°

[31950] 0 3129 2 4 m 0.275 1.33 A 1

239
Kviii

Ground State ls-2s-2p6 3.s- 'So

Ionization Potential 155 eV 1247000 cm

Allowed Transitions

The charge-expansion technique of Crossley and Dalgarno [1], which includes limited configuration mixing, has been employed for the majority of the transitions in this spectrum; while

Gruzdev and Prokofev [2] have carried out Coulomb approximation calculations modified with

the Seaton correction for the 3s3p 3 P° — 354s 3 S multiples For many of these transitions, the dependence of oscillator strength on nuclear charge has served as an aid in estimating accuracies.

References

[1] Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soc. London A2 86, 510 (1965).

[2] Gruzdev, P. F., and Prokofev, V. K., Optics and Soertroscopy (U.S.S.R.) 2 1 , 151-152 (1966). K vm. Allowed Transitions

No. Transition

Array

Multiplet MA) Zsdcm -1

) Ek { cm" 1 ) gi gk Aki ( 10 s sec

-1

)

fik

! 5 (at. u.

)

log gf AccuracySource

1 3s'2 — 3s{ 2 S)3p O [519.37] 0 192540 1 3 94.0 1.14

1 1.95 0.057 B 1

2 3s3p — 3p2 3p° 3p 564.85 130274 307313 9 9 81 0.388 6.5 0.54 c + 1

[564.47] 131452 308608 5 5 61 0.292 2.71 0.164 c + Is [565.12] 129080 306035 3 3 20.2 0.097 0.54 -0.54 c Is [572.79] 131452 306035 5 3 [ 32.3 0.095 0.90 -0.323 c Is [569.51] 129080 304669 3 1 79 0.128 0.72 -0.416 c Is [557.02] 129080 308608 3 5 21.1 0.164 0.90 -0.308 c Is [561.59] 127968 306035 1 3 27.5 0.389 0.72 -0.410 c Is

3 3s3p-3s(2 S)3d 3p°_3£) 420.51 130274 368082 9 15 116 0.511 6.37 0.663 B 1

[422.51] 131452 368132 5 7 114 0.427 2.97 0.329 B Is [418.45 129080 368060 3 5 87.9 0.385 1.59 0.063 B Is [416.60 127968 368004 1 3 -66.1 0.516 0.708 -0.287 B Is [422.64' 131452 368060 5 5 28.5 0.0763 0.531 -0.419 B Is [418.54 129080 368004 3 3 48.9 0.128 0.531 -0.416 B Is [422.74] 131452 368004 5 3 3.2 0.0051 0.035 -1.59 D Is

4

o 1 6 [464] 192540 [408000] 3 5 160 0.87 4.0 0.42 D 1

5 3s3p — 3s(2 S)4s 3p° 3C 199.45 130274 631654 9 3 423 0.084 0.496 -0.121 C 2

[199.92] 131452 631654 5 3 234 0.084 0.276 -0.377 C Is [198.98] 129080 631654 3 3 142 0.084 0.165 -0.60 C Is [198.54] 127968 631654 1 3 47.4 0.084 0.055 -1.076 C Is

K vm

Forbidden Transitions

Naqvi’s calculations [1] are the only available source. The results for the 3 P° — 3 P° transitions are essentially independent of the choice of the interaction parameters. For the 3 P°— 'P°

transitions, Naqvi uses empirical term intervals, i.e., the effects of configuration interaction should

be partially included.

Reference

[ 1] Naqvi, A. M., Thesis Harvard (1951).
K VIII. Forbidden Transitions

No.

Transition

Array Multiplet

r

"

mA) £i(cm_l

) Ek ( cm-') gi gk

Type of

Transition “Msec- 1 ) S(at.u.)

Accuracy Source

1 3s3p — 3s(2S)3p CO o 1 CO TJ0 [89900] 127968 129080 1 3 rn 0.0247 2.00 A j 1 [42147] 129080 131452 3 5

rn 0.180 2.50 A 1

2 3po j po

[1548.7] 127968 192540 1 3 m 3.51 0.00145 C 1 [1575.8] 129080 192540 3 3 m 93 0.0404 C 1 [1637.0] 131452 192540 5 3 m 3.71 0.00181 C 1

Kix

Ground State ls 22s22p63s 2 Si/2

Ionization Potential 175.94 eV= 1419425 cnr1 Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

131.65 2 260.05 5 621.41 1 131.90 2 260.83 5 636.40 1 145.73 7 451.01 10 1273.4 9

184.59 4 453.96 10 1294.6 9

185.88 4 459.50 3 1297.2 9

205.83 6 466.95 3 1647.1 8

259.86 5 467.59 3 1687.1 8

The only source available for this ion are the charge-expansion calculations of Crossley and

Dalgarno [1] which include limited configuration mixing. Graphical comparisons of this work

with more refined values within the isoelectronic sequence indicate accuracies within 25 percent.

A number of additional values have been obtained from studies of the /-value dependence on

nuclear charge. The reliable material available for other ions of this isoelectronic sequence in these cases permits the determination of reliable values simply by graphical interpolation.

Reference

[1 1 Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soc. London A2 86 , 510-518 (1965).

241
K IX. Allowed Transitions

No. Transition

Array

Multiplet x(A) Ei(c m_1

) Fa-

(

cm- 1

) gk Aki( 108 sec

-1

)

fik S ( at. u.

)

log*/' Accuracy

Source

1 3s —3p 2 S — 2 P° 629.29 0 159670 2 6 , 30.1 0.54 2.22 0.033 c 1

[621.41] 0 160925 2 4 31.2 0.362 1.48 -0.140 c Is [636.40] 0 157159 2 2 29.1 0.177 0.74 -0.451 c Is

2 3s — 4p 2g _2p° 131.73 0 759135 2 6 , 180 0.14 0.12 -0.55 c interp

[131.65] 0 759615 2 4 180 0.092 0.080 -0.74 c Is [131.90] 0 758174 2 2 180 0.046 0.040 -1.04 c Is

3 3p — 3d 2p° 2p 464.50 159670 374963 6 10 85 0.459 4.21 0.440 c 1

[466.95] 160925 375080 4 6 84 0.411 2.53 0.216 c Is [459.50] 157159 374788 2 4 73 0.463 1.40 -0.033 c Is [467.59] 160925 374788 4 4 14 0.046 0.28 -0.74 D Is

4 3p —4s 2p° 2g 185.45 159670 698902 6 2 520 0.090 0.33 -0.27 c interp

[185.88] 160925 698902 4 2 350 0.090 0.22 -0.44 c Is [184.59] 157159 698902 2 2 180 0.091 0.11 -0.74 c Is

5 3d— 4p 2 D — 2 P° 260.30 374963 759135 10 6 200 0.12 1.0 0.08 c interp

[260.05] 375080 759615 6 4 170 0.12 0.60 -0.14 c Is [260.83] 374788 758174 4 2 190 0.096 0.33 -0.42 c Is [259.86] 374788 759615 4 4 19 0.020 0.067 -1.10 D Is

6 3d —4/ 2 D — 2 F 205.83 374963 860808 10 14 1000 0.92 6.2 0.96 c+ interp

7 3d — 5/ 2D_2F° 145.73 374963 1061150 10 14 380 0.17 0.82 0.23 c interp

8 4s —4p 2 S — 2 P

° 1660.2 698902 759135 2 6 6.2 0.77 8.4 0.19 c interp

[1647.1] 698902 759615 2 4 6.3 0.52 5.6 0.02 c Is [1687.1] 698902 758174 2 2 5.9 0.25 2.8 -0.30 c Is

9 4p —4d 2 P° —2 J) 1287.6 759135 836798 6 10 21 0.86 22 0.71 c interp

[1294.6] 759615 836861 4 6 20 0.76 13 0.48 c Is [1273.4] 758174 836703 2 4 18 0.87 7.3 0.24 c Is [1297.2] 759615 836703 4 4 3.5 0.088 1.5 -0.45 D Is

10 4p —5s 2 P° —2 S 452.97 759135 979901 6 2 150 0.15 1.3 -0.05 C interp

[453.96] 759615 979901 4 2 96 0.15 0.89 -0.22 c Is [451.01] 758174 979901 2 2 50 0.15 0.45 -0.52 c Is

Kx

Ground State ls2 2s2 2p6 ’So

Ionization Potential 503.8 eV = 4064300 cm-'

Allowed Transitions

Calculations by Kastner, Omidvar, and Underwood [1], employing Hartree-Fock wave functions and including intermediate coupling, are available. Since the calculations are based on a single-configuration approximation only, uncertainties of up to 50 percent are expected for the

strong lines and even higher uncertainties for the weak lines, the latter being more affected by

assumptions about the coupling.

242
Reference

[1 1 Kastner, S. O., Omidvar, K., and Underwood, J. H., Astrophys. J. 148, 269-273 (1967). Kx. Allowed Transitions

No. Transition

Array

Multiplet a(A) Ed cm-1

) £V(cm-1

) gi gk ^i(10*

sec

-1

)

fik S(at.u.) log gf Accuracy

Source

1 2p« —

2p5

( 2 P3°/2 )35

!

O

0- 1 cc CO

[41.540] 0 2407300 1 3 770 0.060 0.0082 -1.22 E 1

2 2p

6 —

2p5

( 2 P°/2 )3s >S-'P° [41.147] 0 2430300 1 3 1600 0.12 0.016 -0.92 D 1

3 2p

6 -

2p5

( 2 P.°/2 )3dr >S- 3 P°

[36.229] 0 2760200 1 3 110 0.0065 7.8 X 10-4 -2.19 E 1

4 2p

6 —

2/A(2 P3°

/2 )3d

i S _ip° [35.779] 0 2794900 1 3 3.3 X 104 1.9 0.22 0.28 D 1

5 2p

6 —

2p5

( 2P?/2 )3d

1 S _3D

°

[35.307] 0 2832300 1 3 3900 0.22 0.026 -0.66

1 D 1

Kxi

Ground State ls22s22p5 2Pg/2 Ionization Potential

9 Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[ 1] Naqvi, A. M., Thesis Harvard (1951).

KXI. Forbidden Transitions

No.

Transition

Array Multiplet A(A) F (cm -1

) Ek { cm ’) g> gk

Type of

Transition Aki ( sec

-1

) S(at.u.)

Accuracy Source

1 2/X-2/U 2po 2po

[4256.4] 0 23475 4 2 m 231 1.33 A 1

243
KxiV

Ground State ls22s22p23Po

Ionization Potential ? Forbidden Transitions

Krueger and Czyzak’s [1] values have been used for this ion, except for the magnetic dipole

3p0 j_3Pj 3 transitions where Naqvi’s [2] results have been applied. Some wavelength data are from observed coronal lines. The electric quadrupole moment ( sq) is based on self-consistent field

wave functions with exchange.

References

[1| Krueger, T. K., and Czyzak, S. J., Astrophys. J. 144, 1194^1202 (1966).

[2] Naqvi, A". M., Thesis Harvard (1951).

K XIV. Forbidden Transitions

No.

Transition

Array Multiplet x(Ai 1 s Ek ( cm ') Si gk

Type of

Transition

Aki ( sec

-1

) S(at.u.)

Accuracy Source

1 2p2 -2p2 <p _ sp [7474] 0 [13380] 1 3 m 42.2 1.96 B- 2 [3545] 0 [28210] 1 5 e 0.00222 0.00370 C- 1 6740 [13380] [282101 3 5 m 42.1 2.39 B 2

6740 [13380] [28210] 3 5 e 1.79 X 10-4 0.0074 C 1

CO 1 6

[1033] 0 [96810] 1 5 e 0.0051 1.8 X 10-5 D- 1 [1199] [13380] [96810] 3 5 m 412 0.131 C 1 [1199] [13380] [96810] 3 5 e 0.056 4.2 x 10-4 D 1 [1458] [28210] [96810] 5 5 m 650 0.373 C 1 [1458] [28210] [96810] 5 5 e 0.14 0.0028 D 1

3P->S

[625.3] [13380] [173310] 3 1 m 5200 0.0469 C 1 [689.2] [28210] [173310] 5 1 e 3.5 3.2 x 10“4 D 1

'D — *S [1307] [96810] [173310] 5 1 e 5.9 0.013 D 1

244
CALCIUM

Ca I

Ground State ls2 2s22p63s2 3p64s2 ’So

Ionization Potential 6.11 eV = 49305.72 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

2150.80 29 3630.97 32 4585.96 1 2200.73 28 3644.41 32 4586.1 1 2275.46 14 3644.77 32 4685.27 36

2398.56 27 3644.99 32 4878.13 2 2541.40 13 3673.42 11 5041.62 7

2617.66 12 3675.29 11 5188.85 33

2721.65 26 3678.21 11 5260.39 24

2994.96 15 3748.35 10 5261.71 24

2997.31 15 3750.29 10 5262.24 24

2999.64 15 3753.34 10 5264.24 24

3000.86 15 3870.48 8 5265.56 24

3006.86 15 3872.54 8 5270.27 24

3009.21 15 3872.56 8 5512.98 20

3102.35 42 3875.78 8 5581.97 23

3107.39 42 3875.8 8 5588.76 23

3117.65 42 3875.80 8 5590.12 23

3136.02 40 3948.90 34 5594.47 23

3140.79 40 3957.05 34 5598.49 23

3141.16 40 3973.71 34 5601.29 23

3150.75 40 4092.63 5 5602.85 23

3151.27 40 4094.93 5 5857.45 19

3151.64 40 4094.96 5 6102.72 31

3164.60 41 4098.53 5 6122.22 31

3169.84 41 4098.57 5 6156.02 3

3180.52 41 4098.6 5 6161.29 3

3209.96 38 4108.53 9 6162.17 31

3215.17 38 4226.73 17 6163.76 3

3215.34 38 4283.01 18 6166.44 3

3225.90 38 4289.36 18 6169.06 3

3226.15 38 4298.99 18 6169.56 3

3226.32 38 4302.53 18 6439.07 21 3269.08 39 4307.74 18 6449.81 22

3274.67 39 4318.65 18 6455.60 22

3286.07 39 4355.08 6 6462.57 21 3344.51 35 4425.44 30 6471.66 21

3350.21 35 4434.96 30 6493.78 21

3350.36 35 4435.69 30 6499.65 21

3361.92 35 4454.78 30 6508.85 21 3362.14 35 4455.89 30 6572.78 16

3362.28 35 4456.61 30 6717.69 4

3468.48 37 4526.94 25

3474.76 37 4578.55 1 3487.60 37 4581.40 1 3624.11 32 4581.47 1 3630.75 32 4585.87 1

245
Ca I

For this spectrum we have exclusively used experimental material since even recent theoretical efforts [10, 111 have not provided a consistent set of data. The /-value for the resonance line

has been taken from three lifetime experiments, namely the Hanle effect measurements of Lurio,

de Zafra, and Goshen [6], as well as Smith and Gallagher [7], and the phase-shift measurements

of Hulpke, Paul, and Paul [8]. The very close agreement of the three results suggests the aver- aged value should be uncertain by no more than 10 percent. Another lifetime result, this one by

Karstensen and Schramm [12], using delayed coincidence techniques for the 4f'F0 level, allows

a determination of the transition probability for the 3rf 1 D —4/ 1 F° line, but in a less direct manner,

since the contribution of the 4d

1 D—4/^° line had to be estimated via a Bates-Damgaard cal- culation and subtracted. Fairly precise relative oscillator strengths are available for a few lines

from the anomalous dispersion experiments of Filippov and Kremenevsky [3], Prokof ’ev [5], and

Shabanova [9] and for a larger number of lines from the work of Ostrovskii and Penkin [4]. The

relative values are normalized to the value chosen for the resonance line. Further data could be

taken from an emission experiment with a stabilized arc by Kdstlin [2] and an absorption experiment by Olsen, Routly, and King [1]. The relative values of Olsen et al. have been normalized to Ostrovskii and Penkin’s value for the 4289 A line which in turn has been normalized to the above

adopted value for the resonance line. (This simple normalization procedure leads here to the same

result as a least-squares fit between the overlapping data of Olsen et al. and Ostrovskii and Penkin.)

A detailed comparison of the data of Olsen et al. with all other available material indicates a wavelength dependence of Olsen’s data for wavelengths greater than 4600 A; hence, these values have

not been used for these wavelengths except where no other source is available.

References

[1] Olsen, K. H., Routly, P. M., and King, R. B., Astrophys. J. 130, 688-692 (1959).

[2] Kdstlin, H„ Z. Physik 178, 200-215 (1961).

[3] Filippov, A., and Kremenevsky, N., Physik. Z. Sowjetunion 1, 299-301 (1932).

[4] Ostrovskii, Yu. I., and Penkin, N. P., Optics and Spectroscopy (U.S.S.R.) 10, 219-222 (1961).

[5] Prokof ’ev, V. K„ Z. Physik 50, 701-715 (1928).

[6] Lurio, A., de Zafra, R. L., and Goshen, R. J., Phys. Rev. 134, A119&-A1203 (1964).

[7] Smith, W. W., and Gallagher, A., Phys. Rev. 145 , 26-35 (1966).

[8] Hulpke, E., Paul, E., and Paul, W., Z. Physik 177 , 257-268 (1964).

[9] Shabanova, L. N., Optics and Spectroscopy (U.S.S.R.) 15, 450-451 (1963).

[10] Friedrich, H., and Trefftz, E., J. Quant. Spectrosc. Radiat. Transfer 9, 333-359 (1969).

[11] Weiss, A. W., private communication (1968).

[12] Karstensen, F., and Schramm, J. Z. Astrophys. 68, 214-221 (1968).

Ca I. Allowed Transitions

No. Transition

Array

Multiplet mA) fifcm-1 ) Ek ( cm”1

) gi gk /iwdO8 sec

-1

)

fik S(at.u.) iog gf Accuracy

Source

1 4s3d— 4s(2 S)4/ 3D_3F

° 4582.7 20356 42171 15 21 0.226 0.099 22.5 0.172 C In.

(23)

4585.87 20371 42171 7 9 0.229 0.093 9.8 -0.186 C In, Is 4581.40 20349 42171 5 7 0.209 0.092 6.9 -0.337 C In, Is 4578.55 20335 42170 3 5 0.176 0.092 4.16 -0.56 c In, Is 4585.96 20371 42171 7 7 0.025 0.0079 0.83 -1.26 D Is 4581.47 20349 42170 5 5 0.035 0.011 0.83 -1.26 D Is [4586.1] 20371 42170 7 5 9.8 X 10 -4 2.2 X 10 -4 0.023 -2.81 E Is

2 'D-'F° 4878.13 21850 42344 5 7 0.188 0.094 7.5 -0.328 C 12

(35)

3 4s3d— 4s(2 S)5p 3J) _ 3p° 6167.7 20356 36565 15 9 0.22 0.076 23 0.06 D 2

(20)

6169.56 20371 36575 7 5 0.19 0.076 11 -0.27 D Is 6169.06 20349 36555 5 3 0.17 0.057 5.8 -0.55 D Is 6166.44 20335 36548 3 1 0.22 0.042 2.6 -0.90 D- Is 6161.29 20349 36575 5 5 0.033 0.019 1.9 -1.02 D- Is 6163.76 20335 36555 3 3 0.056 0.032 1.9 -1.02 D- Is 6156.02 20335 36575 3 5 0.0023 0.0021 0.13 -2.20 E Is

246
Cal. Allowed Transitions — Continued

No. Transition

Array

Multiplet A(A) £/(cm->) Fa-

(

cm *) P'i 4a-/

(

10* sec -1

)

//A- S(at. u.) log (if Accuracy

Source

4

1 D- 1 P° 6717.69 21850 36732 5 3 0.12 0.049 5.4 -0.61 E In

(32)

5 4s3g?— 4s(2 S)5/ 3£) _ 3JT° 4096.0 20356 44763 15 21 0.13 0.046 9.3 -0.16 D In

(25)

4098.53 20371 44763 7 9 0.13 0.041 3.9 -0.54 D In 4094.93 20349 44763 5 7 0.12 0.041 2.8 -0.69 D In 4092.63 20335 44763 3 5 0.11 0.048 1.9 -0.84 D In 4098.57 20371 44763 7 7 0.015 0.037 0.35 -1.59 D- Is 4094.96 20349 44763 5 5 0.021 0.0052 0.35 -1.59 D- Is [4098.6] 20371 44763 7 5 5.8 X 10- 4 1.0X io- 4 0.0098 -3.15 E Is

6 >D->F° 4355.08 21850 44805 5 7 0.19 0.074 5.3 -0.43 D In

(37)

7 453(7— 4s(2 S)6p i D -ip° 5041.62 21850 41679 5 3 0.33 0.076 6.3 -0.42 D 2

(34)

8 453(7— 45( 2 S)6/ 3J) _ 3jp° 3873.5 20356 46165 15 21 0.075 0.024 4.5 -0.44 D In

(26)

3875.78 20371 46165 7 9 0.079 0.023 2.1 -0.79 D In, Is 3872.54 20349 46165 5 7 0.054 0.017 1.1 -1.07 D In, Is 3870.48 20335 46165 3 5 0.072 0.027 1.0 -1.09 D In 3875.80 20371 46165 7 7 0.0089 0.0020 0.18 -1.85 D- In, Is 3872.56 20349 46165 5 5 0.0098 0.0022 0.14 -1.96 D- In, Is [3875.8] 20371 46165 7 5 3.5 X 10- 4 5.7 X 10- 5 0.0051 -3.40 E 1 n. Is

9 ip -iF° 4108.53 21850 46182 5 7 0.90 0.32 22 0.20 D In

(39)

10 453(7- 45(2 S)7/ 3D — -‘*F 0 3751.3 20356 47006 15 21 0.040 0.012 2.2 -0.74 D In

(27)

3753.34 20371 47006 7 9 0.041 0.011 0.95 -1.11 D In, Is 3750.29 20349 47006 5 7 0.034 0.010 0.62 -1.30 D In, Is 3748.35 20335 47006 3 5 0.034 0.012 0.44 -1.44 D In, Is 3753.34 20371 47006 7 7 0.0044 9.3 x 10- 4 0.080 -2.19 D- In, Is 3750.29 20349 47006 5 5 0.0062 0.0013 0.080 -2.19 D- In, Is 3753.34 20371 47006 7 5 1.7 X 10- 4 2.6 x 10- 3 0.0022 -3.74 E 1 n. Is

11 4s3(7— 45(2 S)8/ 3D — 3jr° 3676.2 20356 47550 15 21 0.025 0.0072 1.3 -0.97 D In

(28)

3678.21 20371 47550 7 9 0.023 0.0061 0.52 -1.37 D In, Is 3675.29 20349 47550 5 7 0.022 0.0062 0.38 -1.51 D In, Is 3673.42 20335 47550 3 5 0.022 0.0075 0.27 -1.65 D In 3678.21 20371 47550 7 7 0.0026 5.3 X 10- 4 0.045 -2.43 D- In, Is 3675.29 20349 47550 5 5 0.0038 7.7 x 10- 4 0.047 -2.41 D- 1 n. Is 3678.21 20371 47550 7 5 1.0X 10- 4 1.5 X IO" 3 0.0013 -3.98 E In, Is

12 4s2 — 3(7(

2 D)4p' o Q 1 CO UT)

(3 uv)

2617.66 0 38192 1 3 1.6X 10- 4 5.0 X IO-3 4.3 X 10- 4 -4.30 D- 3n

13 >S- 3 P°

(4 uv)

2541.40 0 39335 1 3 1.7X 10- 4 5.0 X 10- 3 4.2 x 10- 4 -4.30 D- 3n

14 0 1Oh cp 2275.46 0 43933 1 3 0.301 0.070 0.52 -1.155 C + 3n, 4n

(6 uv)

15 4s4p —3d2 3p° _ 3p 3003.2 15263 48551 9 9 1.08 0.146 13.0 0.119 c In,

2

(17)

3006.86 15316 48564 5 5 0.75 0.101 5.0 -0.297 c In, Is 2999.64 15210 48538 3 3 0.279 0.0376 1.11 -0.95 c 1 n. Is 3009.21 15316 48538 5 3 0.430 0.0350 1.73 -0.76 c In. Is 3000.86 15210 48524 3 1 1.58 0.071 2.10 -0.67 c 1 n. Is 2997.31 15210 48564 3 5 0.241 0.054 1.60 -0.79 c In, Is 2994.96 15158 48538 1 3 0.367 0.148 1.46 -0.83 1 c 1 n. Is

247
Ca I. Allowed Transitions — Continued

No. Transition Multiplet x (A) £i(cm-‘) ^•(cm-') X O jik S(at. u.) log /<f Accu- Source

Array sec

-1

) racy

16 4s2 —4s(2 S)4p >S- 3 P°

(1) 6572.78 0 15210 l 3 2.6 X 10-5 5.1 x 10~ 5 0.0011 -4.29 D + 4n, 5r

17 cn 1 o 4226.73 0 23652 l 3 2.18 1.75 24.4 0.243 B+. 6,7,1

(2)

18 4s4p —4p2 3p° _ 3p 4300.8 15263 38508 9 9 1.81 0.50 64 0.65 C + In, 2

(5) 4302.53 15316 38552 5 5 1.36 0.377 26.7 0.275 C +

4r

In, 4n

/, In, 4n

/. In, 4n

l. In, 4n

L

In, 4n

/. In, 4n

l.

4298.99 15210 38465 3 3 0.466 0.129 5.5 -0.412 c +

4318.65 15316 38465 5 3 0.74 0.124 8.8 -0.208 c +

4307.74 15210 38418 3 1 1.99 0.185 7.9 -0.256 c +

4283.01 15210 38552 3 5 0.434 0.199 8.4 -0.224 c +

4289.36 15158 38465 1 3 0.60 0.498 7.0 -0.303 c +

19 >P°-'D 5857.45 23652 40720 3 5 0.66 0.57 33 0.23 D

(47)

20 *0O j_in 5512.98 23652 41786 3 1 1.1 0.17 9.3 -0.29 E 1 (48)

21 4s3d — 3e?( 2 D)4p' 3J) — 3p° 6460.3 20356 35831 15 21 0.54 0.47 150 0.85 D

(18)

6439.07 20371 35897 7 9 0.53 0.42 62 0.47 D t 6462.57 20349 35819 5 7 0.47 0.41 44 0.31 D t 6493.78 20335 35730 3 5 0.44 0.46 30 0.14 D

6471.66 20371 35819 7 7 0.059 0.037 5.5 -0.59 D6499.65 20349 35730 5 5 0.081 0.051 5.5 -0.59 D6508.85 20371 35730 7 5 0.0024 0.0011 0.16 -2.11 E

22 3 D-'D°

(19)

6455.60 20349 35835 5 5 0.014 0.0090 0.96 -1.35 E 1 6449.81 20335 35835 3 5 0.090 0.094 6.0 -0.55 D

23 3 D — 3 D° 5592.5 20356 38232 15 15 0.56 0.26 73 0.59 D

(21)

5588.76 20371 38259 7 7 0.49 0.23 30 0.21 D

5594.47 20349 38219 5 5 0.38 0.18 17 -0.05 D

5598.49 20335 38192 3 3 0.43 0.20 11 -0.22 D

5601.29 20371 38219 7 5 0.086 0.029 3.7 -0.69 D5602.85 20349 38192 5 3 0.14 0.040 3.7 -0.70 D5581.97 20349 38259 5 7 0.060 0.039 3.6 -0.71 D5590.12 20335 38219 3 5 0.083 0.065 3.6 -0.71 D24 3 J) _ 3p° 5266.7 20356 39338 15 9 0.60 0.15 39 0.35 D

(22)

5270.27 20371 39340 7 5 0.50 0.15 18 0.02 D

5265.56 20349 39335 5 3 0.44 0.11 9.5 -0.26 D

5262.24 20335 39333 3 1 0.60 0.083 4.3 -0.60 D5264.24 20349 39340 5 5 0.091 0.038 3.3 -0.72 D5261.71 20335 39335 3 3 0.15 0.062 3.2 -0.73 0-

5260.39 20335 39340 3 5 0.0061 0.0042 0.22 -1.90 E

25 1 D — 1 P° 4526.94 21850 43933 5 3 0.41 0.075 5.6 -0.43 D 1 (36)

26 4s2 —4s(2 S)5p > S -ip° 2721.65 0 36732 1 3 0.0027 9.0 X 10~ 4 0.0081 -3.05 D 3

(2 uv)

IsIs

Is

Is

Is

Is

2

2

IsIs

Is

Is

Is

IsIs

Is

Is

Is

IsIs

Is

248
Ca I, Allowed Transitions — Continued

No. Transition Multiplet A (A) £/(<• m

_1

) /',’/,•( em - 1 ) A'

A

1 h-i( 10* U- ,S (at. u.

)

log fif Aeeu- Array sec

-1

) racy

27 4s2 -4s(2 S)6/;

0 CO 1Oh 2398.56 0 41679 l 3 0.167 0.0433 0.342 -1.364 c +

(5 uv)

28 4s2 —4s(2 S)7p CO 1 *6o 2200.73 0 45425 l 3 0.153 0.0333 0.241 -1.478 c

(7 uv)

29 4s2 -4s(2 S)8p 0 co 10. 2150.80 0 46480 l 3 0.061 0.0126 0.089 -1.90 c

(8 uv)

30 4s4p —4s(2 S)4r/ 3 P° — 3 D 4445.0 15263 3 7754 9 15 0.85 0.418 55 0.58 c +

(4) 4454.78 15316 37757 5 7 0.86 0.357 26.2 0.252 c +

4434.96 15210 37752 3 5 0.63 0.312 13.7 -0.029 c +

4425.44 15158 37748 1 3 0.468 0.412 6.0 -0.385 c +

4455.89 15316 37752 5 5 0.208 0.062 4.55 -0.51 c +

4435.69 15210 37748 3 3 0.356 0.105 4.60 -0.50 c +

4456.61 15316 37748 5 3 0.0245 0.00437 0.321 -1.66 c +

31 4s4p — 4s(2 S)5s 3p° _ 3g 6141.9 15263 31539 9 3 0.66 0.125 22.8 0.051 c

(3) 6162.17 15316 31539 5 3 0.354 0.121 12.3 -0.218 c

6122.22 15210 31539 3 3 0.231 0.130 7.9 -0.409 c

6102.72 15158 31539 1 3 0.077 0.129 2.59 -0.89 c

32 4s4p — 4s(2 S)5c/ 3p° _ 3J) 3637.6 15263 42746 9 15 0.370 0.122 13.2 0.041 c +

(9) 3644.41 15316 42747 5 7 0.355 0.099 5.9 -0.305 c +

3630.75 15210 42745 3 5 0.297 0.098 3.51 -0.53 c +

3624.11 15158 42743 1 3 0.212 0.125 1.49 -0.90 c +

3644.77 15316 42745 5 5 0.094 0.0188 1.13 -1.027 c +

3630.97 15210 42743 3 3 0.153 0.0302 1.08 -1.043 c +

3644.99 15316 42743 5 3 0.0095 0.00114 0.068 -2.244 c +

33 *0 0 1 6 5188.85 23652 42919 3 5 0.40 0.27 14 -0.09 D

(49)

34 4s4p —4s(2 S)6s 3p° _ 3g 3965.4 15263 40474 9 3 0.305 0.0240 2.82 -0.67 c

(6) 3973.71 15316 40474 5 3 0.175 0.0248 1.62 -0.91 c

3957.05 15210 40474 3 3 0.098 0.0231 0.90 -1.159 c

3948.90 15158 40474 1 3 0.0334 0.0234 0.304 -1.63 c

35 4s4p —4s(2 S)6d 3p° _ 3£) 3356.1 15263 45051 9 15 0.239 0.067 6.7 -0.220 c

(ID

3361.92 15316 45052 5 7 0.223 0.053 2.93 -0.58 c

3350.21 15210 45050 3 5 0.178 0.050 1.65 -0.82 c

3344.51 15158 45049 1 3 0.151 0.076 0.84 -1.119 c

3362.14 15316 45050 5 5 0.065 0.0110 0.61 -1.260 c

3350.36 15210 45049 3 3 0.111 0.0187 0.62 -1.251 c

3362.28 15316 45049 5 3 0.0059 6. OX 10-* 0.0332 -2.52 c

36 S30 1 6 4685.27 23652 44990 3 5 0.080 0.044 2.0 -0.88 D

(51)

Sou roe

3n, 4

n

9n

9n

In, 2,

4n

In, 4n,

Is In, 4n,

Is In, 4n,

Is In, 4n,

Is In, 4n,

Is In, 4n,

Is

2,4n

4n, Is 4n, /s 4n, /s

In, 2,

4n

In, 4n,

Is In, 4n,

Is In , 4n,

Is In, 4n,

Is In, 4n,

Is

1 n , 4n

,

Is2

In, 4n

In, 4n

1 n , 4n

1 n , 4n

In. 4n

1 n , 4n

In, 4n

In, 4n

1 n , 4n

1 n . 4n

4n

2

249
Ca I. Allowed Transitions — Continued

No. Transition Multiplet MA) is, (cm- 1 ) £a- ( c m

- 1

) /a;(H)« fik S{ at. u.

Accu- Source

Array sec

-1

) racy

37 4s4p —45(2 S)7s 3p° _ 3g 3481.1 15263 43981 9 3 0.14 0.0082 0.85 -1.13 D In

(10)

3487.60 15316 43981 5 3 0.078 0.0085 0.49 -1.37 D In 3474.76 15210 43981 3 3 0.046 0.0083 0.28 -1.60 D In 3468.48 15158 43981 1 3 0.013 0.0071 0.081 -2.15 D In

38 4s4p — 4s(2 S)7d 3p° — 3 J) 3220.5 15263 46305 9 15 0.15 0.040 3.8 -0.44 D In

(13)

3225.90 15316 46306 5 7 0.16 0.035 1.9 -0.76 D In 3215.17 15210 46304 3 5 0.11 0.028 0.89 -1.08 D In 3209.96 15158 46302 1 3 0.073 0.034 0.36 -1.47 D In 3226.16 15316 46304 5 5 0.040 0.0062 0.33 -1.51 D In 3215.34 15210 46302 3 3 0.051 0.0079 0.25 -1.63 D In 3236.32 15316 46302 .5 3 0.0042 4.0 x 10- 4 0.021 -2.70 E Is

39 4s4p —4s(2 S)8s 3p° _ 3g 3280.3 15263 45739 9 3 0.094 0.0050 0.49 -1.35 D In

(12)

3286.07 15316 45739 5 3 0.053 0.0051 0.28 -1.59 D In 3274.67 15210 45739 3 3 0.030 0.0048 0.16 -1.84 D In 3269.08 15158 45739 1 3 0.0094 0.0045 0.048 -2.35 D In

40 4s4p —4s(2 S)8d 3p° _ 3J) 3145.8 15263 47042 9 15 0.078 0.019 1.8 -0.77 D In

(15)

3150.75 15316 47045 5 7 0.086 0.018 0.93 -1.05 D In 3140.79 15210 47040 3 5 0.049 0.012 0.37 -1.44 D In 3136.02 15158 47036 1 3 0.041 0.018 0.19 -1.74 D In 3151.27 15316 47040 5 5 0.018 0.0027 0.14 -1.87 D In 3141.16 15210 47036 3 3 0.030 0.0044 0.14 -1.88 D In 3151.64 15316 47036 5 3 0.0022 1.9X lO" 4 0.010 -3.02 E Is

41 4s4p —4s(2 S)9s 3p°_3g 3175.2 15263 46748 9 3 0.055 0.0028 0.26 -1.60 D In

(14)

3180.52 15316 46748 5 3 0.029 0.0026 0.14 -1.89 D In 3169.84 15210 46748 3 3 0.020 0.0030 0.094 -2.05 D In 3164.60 15158 46748 1 3 0.0053 0.0024 0.025 -2.62 D In

42 4s4p — 4s(2 S)10s 3p° 3g 3112.5 15263 47382 9 3 0.034 0.0016 0.15 -1.84 D In

(16)

3117.65 15316 47382 5 3 0.017 0.0015 0.077 -2.12 D In 3107.39 15210 47382 3 3 0.010 0.0015 0.046 -2.35 D In 3102.35 15158 47382 1 3 0.0062 0.0027 0.028 -2.57 D In

Call

Ground State ls2 2s22p63s2 3p64s 2 Si /2 Ionization Potential 11.87 eV = 95748.0 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

1287.2 10 1330.9 8 1455.5 28

1288.2 10 1368.4 7 1460.2 28

1304.6 9 1369.5 7 1461.2 27

1305.7 9 1433.1 6 1466.0 27

1329.8 8 1434.3 6 1468.3 26

250
Ca II. Allowed Transitions — Continued

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

1473.1 26 1814.6 18 4220.13 32

1477.3 25 1815.04 18 5001.49 34

1482.1 25 1838.08 4 5019.98 34

1488.8 24 1840.21 4 5021.14 34

1493.7 24 1843.6 14 5285.34 31

1504.2 23 1851.10 14 5307.30 31

1509.2 23 2103.24 17 8203.2 33

1525.3 22 2112.76 17 8250.2 33

1530.4 22 2113.19 17 8256.1 33

1553.5 5 2128.73 2 8498.02 1

1555.1 5 2131.43 2 8542.09 1 1555.3 21 2132.25 2 8662.14 1 1560.6 21 2197.79 13 9856.7 30

1600.5 20 2208.61 13 9933.3 30

1606.1 20 3158.87 16 11836.4 29

1606.2 20 3179.33 16 11947.0 29

1642.8 3 3181.28 16

1643.8 3 3706.03 12 1644.4 3 3736.90 12 1673.8 19 3933.66 11

1680.0 19 3968.47 11 1680.1 19 4097.12 35

1691.7 15 4109.83 35

1698.1 15 4110.33 35

1807.74 18 4206.21 32

The great majority of the values are taken from the extensive calculations of Trefftz [1] which

are based on the self-consistent field method and include core polarization effects. Her results for

the 3d— 4p and 4s — 4p transitions are supported by excellent agreement (2-5%) with similar cal- culations of Weiss [3] (SCF with core relaxation) and Douglas and Garstang [4] (SCF with core

polarization). For the 4s — 4p transition, an experimental value is available from the lifetime meas- urements by Gallagher [2] employing the Hanle effect, which agrees with 10 percent with the

theoretical results. Thus the average of the measured value and Trefftz’ calculated result is adopted.

References

[1 ] Trefftz, E., private communication (1968) and to be published.

[2] Gallagher, A., Phys. Rev. 157,24-30(1967).

[3] Weiss, A. W., J. Res. NBS 71 A (Phys. and Chem.) 157-162 (1967).

[4] Douglas, A. S., and Garstang, R. H., Proc. Cambridge Phil. Soc. 58, 377-381 (1962).

Ca II. Allowed Transitions

No. Transition

Array

Multiplet mA) E-,( cnr 1 ) filcnr 1 ) dfci (10 8 sec

-1

)

Jik S( at. u.

)

log A'/ Accuracy Source

1 3d— 4p - D — “P° 8579.1 13687 25340 10 6 0.109 0.072 20.3 -0.143 c, 1 (2) 8542.09 13711 25414 6 4 0.099 0.072 12.2 -0.365 c Is 8662.14 13650 25192 4 2 0.106 0.060 6.8 -0.62 c Is 8498.02 13650 25414 4 4 0.0111 0.0121 1.35 -1.315 c Is

2 3d — 5p 2D __>p° 2131.5 13687 60587 10 6 0.020 8.1 X 10~4 0.057 -2.09 D 1 (3 uv)

2131.43 13711 60613 6 4 0.018 8.1 X 10-4 0.034 -2.31 D Is 2132.25 13650 60535 4 2 0.020 6.8 X 10-4 0.019 -2.57 D Is 2128.73 13650 60613 4 4 0.0020 1.4 x 10-4 0.0038 -3.25 D Is

308-022 0-69—19

251
Call. Allowed Transitions — Continued

\<>. Transition Multiplet MA) £,( cm -1

) Fa) cm" 1 ) Array

3 3d— 6p 2 D — 2P° 1644.1 13687 74510

(5 uv)

1644.4 13711 74522

1643.8 13650 74486

1642.8 13650 74522

4 3d- 4/ 2 D — 2 F° 1839.2 13687 68057

(4 uv)

1840.21 13711 68057

1838.08 13650 68057

1840.21 13711 68057

5 3d- 5/ 2 D- 2 F° 1554.2 13687 78028

(6 uv)

1555.1 13711 78028

1553.5 13650 78028

1555.1 13711 78028

6 3d- 6/

2 D

2 F° 1433.3 13687 83458

(7 uv)

1434.3 13711 83458

1433.1 13650 83458

1434.3 13711 83458

7 3d- 7/

2 0 — 2F° 1369.1 13687 86728

[1369.5] 13711 86728

[1368.4] 13650 86728

[1369.5] 13711 86728

8 3d- 8/

2 D — 2F° 1330.5 13687 88848

[1330.9] 13711 88848

[1329.8] 13650 88848

[1330.9] 13711 88848

9 3d- 9/ 2 D — 2 F° 1305.3 13687 90300

[1305.7] 13711 90300

[1304.6] 13650 90300

[1305.7] 13711 90300

10 3d- 10/ 2 D-2F° 1287.8 13687 91338

[1288.2] 13711 91338

[1287.2] 13650 91338

[1288.2] 13711 91338

11 4s —4/> 2 S

2 P

° 3945.2 0 25340

(1) 3933.66 0 25414

3968.47 0 25192

12 4p — 5s 2 P° —2 S 3726.5 25340 52167

(3) 3736.90 25414 52167

3706.03 25192 52167

13 4/; —6s 2 P° — 2 S 2205.0 25340 70678

(8 uv)

2208.61 25414 70678

2197.79 25192 70678

14 4p — 7s 2 p°_2S 1848.1 25340 79450

(10 uv)

1851.10 25414 79450

1843.6 25192 79450

dk 4 a; ( 10* sec

-1

)

Jik 5’ ( at. u.

)

•"g gf Accu- racy

Source

6 0.014 3.3 x 10-4 0.018 - 2.48 D 1

4 0.013 3.4 x 10-4 0.011 - 2.69 D Is 2 0.014 2.8 x 10-4 0.0060 - 2.95 D Is 4 0.0014 5.5 x 10~5 0.0012 - 3.66 D Is

14 2.61 0.185 11.2 0.267 C 1

8 2.60 0.176 6.4 0.024 C Is 6 2.44 0.185 4.48 - 0.131 C Is 6 0.173 0.0088 0.320 - 1.277 c Is

14 1.70 0.086 4.40 - 0.066 c 1

8 1.69 0.082 2.51 - 0.308 c Is 6 1.59 0.086 1.76 - 0.463 c Is 6 0.113 0.00410 0.126 - 1.61 c Is

14 1.08 0.0465 2.19 - 0.333 c 1

8 1.07 0.0441 1.25 - 0.58 c Is 6 1.01 0.0466 0.88 - 0.73 c Is 6 0.072 0.00222 0.063 - 1.88 c Is

14 0.71 0.0280 1.26 - 0.55 c 1

8 0.71 0.0266 0.72 - 0.80 c Is 6 0.66 0.0277 0.50 - 0.96 c Is 6 0.0473 0.00133 0.0360 - 2.098 c Is

14 0.490 0.0182 0.80 - 0.74 c 1

8 0.491 0.0174 0.457 - 0.98 c Is 6 0.459 0.0182 0.320 - 1.138 c Is 6 0.0328 8.7 x 10-4 0.0229 - 2.282 c Is

14 0.350 0.0125 0.54 - 0.90 c 1

8 0.352 0.0120 0.309 - 1.143 c Is 6 0.328 0.0126 0.216 - 1.298 c Is 6 0.0234 6.0 x 10-4 0.0154 - 2.444 c Is

14 0.259 0.0090 0.382 - 1.046 c 1

8 0.258 0.0086 0.218 - 1.287 c Is 6 0.242 0.0090 0.153 - 1.444 c Is 6 0.0172 4.28 x 10-4 0.0109 - 2.59 c Is

6 1.48 1.04 27.0 0.318 c + 1 . 2

4 1.50 0.69 18.0 0.140 c + Is 2 1.46 0.344 9.0 - 0.162 c+ Is

2 2.49 0.173 12.7 0.016 c 1

2 1.65 0.173 8.5 - 0.160 c Is 2 0.84 0.173 4.22 - 0.461 c Is

2 0.93 0.0227 0.99 - 0.87 c 1

2 0.62 0.0227 0.66 - 1.042 c Is 2 0.313 0.0227 0.328 - 1.343 c Is

2 0.463 0.0079 0.288 - 1.324 c 1

2 0.308 0.0079 0.193 - 1.50 c Is 2 0.155 0.0079 0.096 - 1.80 c Is

10

6

4

4

10

6

4

6

10

6

4

6

10

6

4

6

10

6

4

6

10

6

4

6

10

6

4

6

10

6

4

6

2

2

2

6

4

2

6

4

2

6

4

2

252
Call. Allowed Transitions — Continued

No. Transition

Array

Multiplet x(A) Ej( cm -1

) Ek( cm-') t*k ^«( 10® sec -1

)

fik S ( at. u.) log A/' Accuracy Source

15 4p —85 2 P°- 2 S 1696.0 25340 84303 6 2 0.269 0.00387 0.130 -1.63 C 1

[1698.1] 25414 84303 4 2 0.179 0.00387 0.087 -1.81 C Is [1691.7] 25192 84303 2 2 0.090 0.00387 0.0431 -2.111 c Is

16 4p —4d

2 P°- 2 D 3172.6 25340 56851 6 10 3.62 0.91 57 0.74 c 1 (4) 3179.33 25414 56859 4 6 3.59 0.82 34.2 0.52 c Is 3158.87 25192 56839 2 4 3.05 0.91 19.0 0.260 c Is 3181.28 25414 56839 4 4 0.60 0.091 3.80 -0.439 c Is

17 4p — 5d 2 P°— 2 D 2109.6 25340 72727 6 10 1.10 0.122 5.1 -0.135 c 1 (9 uv)

2112.76 25414 72731 4 6 1.10 0.110 3.06 -0.357 c Is 2103.24 25192 72722 2 4 0.93 0.123 1.70 -0.61 c Is 2113.19 25414 72722 4 4 0.182 0.0122 0.340 -1.312 c Is

18 4p — 6d 2P°

2 D 1812.1 25340 80526 6 10 0.490 0.0402 1.44 -0.62 c 1 (11 uv)

1815.04 25414 80528 4 6 0.486 0.0360 0.86 -0.84 c Is 1807.74 25192 80523 2 4 0.412 0.0403 0.480 -1.094 c Is [1814.6] 25414 80523 4 4 0.081 0.00402 0.096 -1.79 c Is

19 4p — 7d 2 P°

2 D 1677.9 25340 84937 6 10 0.266 0.0187 0.62 -0.95 c 1

[1680.0] 25414 84938 4 6 0.265 0.0168 0.372 -1.173 c Is [1673.8] 25192 84935 2 4 0.224 0.0188 0.207 -1.425 c Is [1680.1] 25414 84935 4 4 0.0441 0.00187 0.0413 -2.126 c Is

20 1 00 2 P°

2 D 1604.2 25340 87677 6 10 0.162 0.0104 0.330 -1.205 c 1

[1606.1] 25414 87676 4 6 0.161 0.0094 0.198 -1.425 c Is [1600.5] 25192 87674 2 4 0.136 0.0104 0.110 -1.68 c Is [1606.2] 25414 87674 4 4 0.0269 0.00104 0.0220 -2.381 c Is

21 "13 £1 0 1 Q

O CL, 1558.8 25340 89491 6 10 0.105 0.0064 0.197 -1.416 c 1

[1560.6] 25414 89491 4 6 0.105 0.0057 0.118 -1.64 c Is [1555.3] 25192 89490 2 4 0.089 0.0064 0.066 -1.89 c Is [1560.6] 25414 89490 4 4 0.0175 6.4 x 10-4 0.0131 -2.59 c Is

22 4p — 10</ 2 P° — 2 D 1528.7 25340 90756 6 10 0.073 0.00428 0.129 -1.59 c 1

[1530.4] 25414 90756 4 6 0.073 0.00382 0.077 -1.82 c Is [1525.3] 25192 90755 2 4 0.061 0.00428 0.0430 -2.068 c Is [1530.4] 25414 90755 4 4 0.0122 4.27 x 10-4 0.0086 -2.77 c Is

23 4p-Ud 2 P° — 2 D 1507.5 25340 91674 6 10 0.053 0.00302 0.090 -1.74 c 1

[1509.2] 25414 91674 4 6 0.053 0.00272 0.054 -1.96 c Is [1504.2] 25192 91674 2 4 0.0446 0.00303 0.0300 -2.218 c Is [1509.2] 25414 91674 4 4 0.0088 3.02 x 10-4 0.0060 -2.92 c Is

24 4p — V2d 2 P° — 2 0 1492.1 25340 92361 6 10 0.0399 0.00222 0.065 -1.88 c 1

[1493.7] 25414 92361 4 6 0.0395 0.00198 0.0390 -2.101 c Is [1488.8] 25192 92361 2 4 0.0333 0.00221 0.0217 -2.355 c Is [1493.7] 25414 92361 4 4 0.0066 2.20 X 10-4 0.00433 -3.056 c Is

25 4p — 13d 2 p°_2 D 1480.5 25340 92885 6 10 0.0305 0.00167 0.0488 -2.000 c 1

[1482.1] 25414 92885 4 6 0.0304 0.00150 0.0293 -2.222 c Is [1477.3] 25192 92885 2 4 0.0256 0.00168 0.0163 -2.474 c Is [1482.1] 25414 92885 4 4 0.0051 1.67 X 10-4 0.00325 -3.175 c Is
Call. Allowed Transitions — Continued

No. Transition Multiplet mA) EAcm-1) ^(cnr 1 ) gi gk /f*i(10 8 fik S(at. u.) log gf Accu- Source

Array sec

-1

) racy

26 4p — 14</ 2 p°_2 D 1471.5 25340 93300 6 10 0.0240 0.00130 0.0378 -2.108 C 1

[1473.1] 25414 93300 4 6 0.0240 0.00117 0.0227 -2.330 C Is [1468.3] 25192 93300 2 4 0.0202 0.00130 0.0126 -2.59 C Is [1473.1] 25414 93300 4 4 0.00399 1.30 X 10-4 0.00252 -3.284 C Is

27 4p— 15o? 2 p° — ”0 1464.4 25340 93629 6 10 0.0192 0.00103 0.0298 -2.209 C 1

[1466.0] 25414 93629 4 6 0.0192 9.3 X lO-4 0.0179 -2.429 c Is [1461.2] 25192 93629 2 4 0.0161 0.00103 0.0099 -2.69 c Is [1466.0] 25414 93629 4 4 0.00320 1.03 x lO-4 0.00199 -3.385 c Is

28 4p— 16d

2 p°_ 2D 1458.7 25340 93896 6 10 0.0156 8.3 x lO-4 0.0239 -2.303 c 1

[1460.2] 25414 93896 4 6 0.0155 7.4 x 10-4 0.0143 -2.53 c Is [1455.5] 25192 93896 2 4 0.0131 8.3 x lO-4 0.0080 -2.78 c Is [1460.2] 25414 93896 4 4 0.00259 8.3 X 10~5 0.00159 -3.479 c Is

29 5s — 5p

2 S — 2po 11873 52167 60587 2 6 0.23 1.5 110 0.48 D ca

(5) 11836.4 52167 60613 2 4 0.23 0.98 76 0.29 D Is 11947.0 52167 60535 2 2 0.23 0.49 38 -0.01 D Is

30 5p — 6s 2 po_2S 9907.1 60587 70678 6 2 0.58 0.28 55 0.23 D ca

(12)

9933.3 60613 70678 4 2 0.38 0.28 37 0.05 D Is 9856.7 60535 70678 2 2 0.19 0.28 18 -0.25 D Is

31 5p — 7s 2 p°_2S 5299.9 60587 79450 6 2 0.23 0.033 3.4 -0.70 D ca

(14)

5307.30 60613 79450 4 2 0.15 0.033 2.3 -0.88 D Is 5285.34 60535 79450 2 2 0.078 0.033 1.1 -1.18 D Is

32 5p — 8s 2p°_2S 4215.4 60587 84303 6 2 0.13 0.011 0.95 -1.18 D ca

(16)

4220.13 60613 84303 4 2 0.085 0.011 0.63 -1.36 D Is 4206.21 60535 84303 2 2 0.043 0.011 0.32 -1.66 D Is

33 5p — 5d “P° — “D 8235.0 60587 72727 6 10 0.61 1.0 170 0.78 C- ca

(13)

8250.2 60613 72731 4 6 0.61 0.93 100 0.57 C- Is 8203.2 60535 72722 2 4 0.51 1.0 56 0.30 C- Is 8256.

60613 72722 4 4 0.10 0.10 11 -0.40 C- Is

34 5p — 6d

2 p°_2D 5013.9 60587 80526 6 10 0.24 0.15 15 -0.05 D ca

(15)

5019.98 60613 80528 4 6 0.23 0.13 8.8 -0.28 D Is 5001.49 60535 80523 2 4 0.20 0.15 4.9 -0.52 D Is 5021.14 60613 80523 4 4 0.039 0.015 0.98 -1.22 D Is

35 'bp — ld 2 p°_2D 4105.6 60587 84937 6 10 0.12 0.050 4.0 -0.52 D ca

(17)

4109.83 60613 84938 4 6 0.12 0.045 2.4 -0.74 D Is 4097.12 60535 84935 2 4 0.099 0.050 1.3 -1.00 D Is 4110.33 60613 84935 4 4 0.019 0.0049 0.27 -1.71 D Is

254
Ca II Forbidden Transitions

The line strength for the magnetic dipole 3d— 3d transition is a straight number, tabulated

for example by Osterbrock [1]. The transition probability should also be quite accurate, since the

energy level difference is accurately known. Osterbrock’s electric quadrupole values are regarded

as quite uncertain since in cases where more recent data are available he has not compared very

well.

Reference

[1] Osterbrock, D. E., Astrophys. J. 114, 469-472 (1951).

Call. Forbidden Transitions

Transition

mA)

Type of AccuNo. Array Multiplet Ei( cm 1 ) Ek ( cm ') gi Transi- Aki ( sec 1 ) S(at.u.) racy Source

tion

1 3d-('S)3d 2 D —2 D

[16.477 x 105

] 13650.2 13710.9 4 6 m 2.41 x 10-6 2.40 A 1

2 4s-(>S)3d 2 S—2 D

(IF)

7291.46 0.00 13710.9 2 6 e 1.3 96 E 1 7323.88 0.00 13650.2 2 4 e 1.3 65 E 1

Ca IV

Ground State ls22s22p«3s2 3p5 2 P3/2

Ionization Potential 67 eV = 542000 cm- 1 Allowed Transitions

A value is available for one multiplet of this ion from the screening-approximation calculations

of Varsavsky [1]. This result should be quite uncertain (probably too high, as judged from comparisons in other ions), since the possibly important effects of configuration interaction have not been

taken into account.

Reference

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).

CalV. Allowed Transitions

No. Transition

Array

Multiplet X(A) fi(cnr’) ficfcnr 1

) gi gk ^•ao8 sec

-1

)

fik S(at. u.) log gf Accuracy

Source

1 3s23p5 —3s3/>6 2 P° —2 S 660.54 1038 152430 6 2 170 0.37 4.8 0.35 E 1

[656.04] 0 152430 4 2 120 0.37 3.2 0.17 E Is [669.73] 3115 152430 2 2 54 0.36 1.6 -0.14 E Is

255
Ca IV

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1], The transition probability should also be quite accurate, since

the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

Ca IV. Forbidden Transitions

No.

Transition

Array Multiplet mA) filcm' 1 ) Ek (e m *) gi gk

Type of

Transition

4ki (sec ') S(at.u.)

Accuracy Source

1 3/>5 — 3p5 2 p° 2 p°

[32090] 0 3115 4 2 m 0.543 1.33 A 1

Ca v

Ground State ls22s22p63s23p4 3 P2

Ionization Potential 84.39 eV = 680800 cm-1

Allowed Transitions

A value is available for one multiplet of this ion from the screening-approximation calculations

of Varsavsky [1]. This result should be quite uncertain (probably too high, as judged from comparisons in other ions), since the possibly important effects of configuration interaction have not been

taken into account.

Reference

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).

CaV. Allowed Transitions

No. Transition

Array

Multiplet mA) £7 (cm -1

) £fc(cm -1

) gi gk dfci (10« sec

-1

)

fik S(at. u.) log gf Accuracy

Source

1 3s-3p4 —3s3p5 3 p 3 p° 647.01 1165 155721 9 9 100 0.63 12 0.75 E 1

[646.56] 0 154664 5 5 76 0.48 5.1 0.38 E Is [647.87] 2404 156756 3 3 25 0.16 1.0 -0.32 E Is [637.93] 0 156756 5 3 44 0.16 1.7 -0.10 E Is [643.12] 2404 157897 3 1 110 0.22 1.4 -0.18 E Is [656.77 2404 154664 3 5 24 0.26 1.7 -0.11 E Is [651.55 3276 156756 1 3 34 0.65 1.4 -0.19 E Is

256
Ca V

Forbidden Transitions

As in the case of Na IV the adopted values are taken from Naqvi [1], and Malville and Berger [2]. For a discussion on the selection of values see Naiv, since the same criteria have been applied.

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M., and Berger, R. A., Planetary and Space Science 13 , 1131 (1965).

Ca V. Forbidden Transitions

Transition

x(A)

Type of AccuNo. Array Multiplet Ei(cm -1

) Ek ( cm- 1 ) gi gk Transi- Aki( sec *) S(at.u.) racy Source

tion

1 3/P-3/;4 3 P — P

[41551] 0 2406.0 5 3 e 7.1 x 10-6 1.57 c- 1, 2 [41551] 0 2406.0 5 3 m 0.311 2.48 B 1, 2 [30517] 0 3276 5 1 e 4.5 x 10-5 0.71 c- 2 [11.49 X 104

] 2406.0 3276 3 1 m 0.0354 1.99 B 1 , 2

2

3 P — >D

(IF)

5309.18 0 18830.1 5 5 e 0.0063 0.079 D- 1 , 2 5309.18 0 18830.1 5 5 m 1.93 0.054 C 1, 2 6086.92 2406.0 18830.1 3 5 e 4.6 X 10-4 0.011 D- 1 . 2 6086.92 2406.0 18830.1 3 5 m 0.431 0.0180 C 1 . 2 [6427.4] 3276 18830.1 1 5 e 1.1 X 10- 4 0.0037 D- 2

3 3 P — 1

S

[2280.0] 0 43847 5 1 e 0.16 0.0057 D- 2 [2412.3] 2406.0 43847 3 1 m 24 0.0125 C 2

4 D— J S

(2F)

3996.3 18830.1 43847 5 1 e 4.6 2.79 C- 2

Ca VI

Ground State ls2 2s22p63s23p3 4 S3/ 2

Ionization Potential 109 eV

Allowed Transitions

A value is available for one multiplet of this ion from the screening-approximation calculations

of Varsavsky [1J. This result should be quite uncertain (probably too high, as judged from comparisons in other ions), since the possibly important effects of configuration interaction have not been

taken into account.

Reference

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).

257
CaVI. Allowed Transitions

No. Transition

Array

Multiplet A(A) Ei (cm 1 ) Ek (c m ! ) Si gk ^•(io8 sec 1 ) fk S( at. u.) log gf Accuracy

Source

1 3s23p3 — 3s3p4 4 S°- 4 P 637.10 0 156960 4 12 48 0.88 7.4 0.55 E 1

[641.88] 0 155792 4 6 47 0.44 3.7 0.25 E Is [633.81] 0 157775 4 4 50 0.30 2.5 0.08 E Is [629.59] 0 158833 4 2 49 0.14 1.2 -0.25 E Is

Ca VI

Forbidden Transitions

For this ion, the only available source is Pasternack [1]. Reference

[1] Pasternack, S., Astrophys. J. 92, 129-155 (1940).

Ca vi. Forbidden Transitions

No.

Transition

Array Multiplet A(A) £i(cm *) Ek ( cm >) g> gk

Type of

Transition

Aki ( sec >) S(at.u.)

Accuracy Source

1 3p3 — 3p3 4 S°- 2 D°

(IF)

3646.3 0 [27417 4 6 m 0.0066 7.1 X 10-5 C- 1 3646.3 0 [27417' 4 6 e 0.013 0.030 D- 1 3702.7 0 [27000' 4 4 m 0.28 0.00211 C- 1 3702.7 0 [27000 1 4 4 e 0.0081 0.013 D- 1

2 4g°_ 2po

[2206.3] 0 [45310] 4 4 m 12 0.0191 C 1 [2206.3] 0 [45310] 4 4 e 2.9 x 10-4 3.6 X 10~5 D- l [2233.7] 0 [44754] 4 2 m 4.8 0.00397 C 1 [2233.7] 0 [44754] 4 2 e 0.0020 1.3 x 10-4 D- 1

3

2 D°_2D

° [24.0 x 104

] [27000] [27417] 4 6 m 7.83 x 10-4 2.40 B 1 [24.0 x 104

] [27000] [27417] 4 6 e 8.2 x 10-" 0.23 D- 1

4 2 J)° 2 p°

(2F)

5587.2 [27417] [45310] 6 4 m 2.1 0.054 C 1 5587.2 [27417] [45310] 6 4 e 0.78 10. D- 1 5631.0 [27000] [44754] 4 2 m 2.3 0.0305 C 1 5631.0 [27000] [44754] 4 2 e 0.64 4.3 D- 1 5766.4 [27417] [44754] 6 2 e 0.39 3.0 D- 1 5460.0 [27000] [45310] 4 4 m 3.9 0.094 C 1 5460.0 [27000] [45310] 4 4 e 0.35 4.0 D- 1

5 2p° 2p°

[17.98 x 104

] [44754] [45310] 2 4 m 0.00154 1.33 B 1 [17.98 x 104

] [44754] [45310] 2 4 e 2.2 x 10->° 0.098 D- 1

258
Ca VII

Ground State ls2 2s2 2p63s2 3p2 3P0

Ionization Potential 128 eV= 1030000 cm-1

Allowed Transitions

A value is available for one multiplet of this ion from the screening-approximation calculations

of Varsavsky [1]. This result should be quite uncertain (probably too high, as judged from comparisons in other ions), since the possibly important effects of configuration interaction have not been

taken into account.

Reference

[1]

Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).

Ca VII. Allowed Transitions

No. Transition

Array

Multiplet MA) £i(cnr') ft(cnr') gi gk ^•(io8 sec

-1

)

fik S(at. u.) log gf Accuracy

Source

1 3s2 3p2 — 3s3p3 3p_3J}° 634.72 2803 160354 9 15 42 0.43 8.0 0.59 E 1

[639.15] 4070 160527 5 7 41 0.35 3.7 0.24 E Is 630.51] 1627 160228 3 5 32 0.32 2.0 -0.02 E Is 624.38] 0 160160 1 3 25 0.43 0.89 -0.37 E Is '640.38] 4070 160228 5 5 10 0.064 0.67 -0.49 E Is '630.78] 1627 160160 3 3 18 0.11 0.67 -0.48 E Is [640.66] 4070 160160- 5 3 1.1 0.0042 0.044 -1.68 E Is

Ca VII

Forbidden Transitions

Since their methods are essentially the same, the averaged values of Naqvi [1], Malville and

Berger [2], and Krueger and Czyzak [3] have been normally used for the magnetic dipole lines. Naqvi

has not been included for the 3 P — *S transition, where the effects of configuration interaction

become important (see General Introduction). All values for the electric quadrupole transition

probabilities have been taken from Krueger and Czyzak, since their electric dipole moment sq has

been obtained by using self-consistent field wavefunctions with exchange.

References

[1] Naqvi, A. M., Thesis Harvard (1951).

[2] Malville, J. M. and Berger, R. A., Planetary and Space Science 13, 1131 (1965).

[3] Krueger, T. K. and Czyzak, S. J., Astrophys. J. 144, 1194 (1966).

259
CaVII. Forbidden Transitions

No.

Transition

Array Multiplet x(A) Ei( cm J ) Ek (cm ') gi gk

Type of

Transition An (sec *) S(at.u.)

Accuracy Source

1 3p2 -3p2 3p 3p

[61450] 0 1627 1 3 m 0.0771 1.99 B

[24460] 0 [4087] 1 5 e 1.9 X 10-5 0.50 D

[40640] 1627 [4087] 3 5 m 0.199 2.47 B

[40640] 1627 [4087] 3 5 e 3.3 X 10-6 1.1 D

2

3 p — i D

(IF) [4571.8] 0 [21867] 1 5 e 1.8 X 10-4 0.0011 D

[4939.3] 1627 [21867] 3 5 m 1.25 0.0280 C 1, 2, [4939.3] 1627 [21867] 3 5 e 0.0015 0.013 D

5621.4 [4087] [21867] 5 5 m 2.56 0.084 C 1, 2,

5621.4 [4087] [21867] 5 5 e 0.0053 0.089 D

3

3 p_is

[2133.8]? 1627 [48477]? 3 1 m 33.2 0.0120 C- 2,

[2252.1]? [4087] [48477]? 5 1 e 0.27 0.0093 D-

»D-‘S

(2F)

[3756.9]? [2186.9] [48477]? 5 1 e 4.4 2.0 DCa VIII

Ground State ls22s22p63523p 2 P°/2

Ionization Potential 147 eV = 1189000 cm-1

Allowed Transitions

The screening-approximation calculations of Varsavsky [1] for the 3s23p 2P° — 3s3p2 2 D multiplet are considered to be rather uncertain (probably too high, as judged from comparisons in other

ions) since the important effects of configuration mixing are neglected entirely. Gruzdev and

Prokofev [2] have carried out Coulomb approximation calculations modified with the Seaton

correction for the 3p 2 P° — 4s 2 S multiplet; these results should be reliable to within 25 percent,

as judged from plots depicting/-value dependence on nuclear charge.

References

[1] Varsavsky, C. M., Astrophys. J. Suppl. Ser. 6, No. 53, 75 (1961).

[2] Gruzdev, P. F., and Prokofev, V. K., Optics and Spectroscopy (U.S.S.R.) 21 , 151-152 (1966).

Gaj vm. Allowed Transitions

No. Transition

Array

Multiplet mA) E-,( cm -1

) Ek (c m" 1 ) gi gk sec 1 )

fik S(at. u.

)

logs/ Accuracy

Source

1 3s23p —3s3p2 2p° 2jy 592.22 2870 171726 6 10 47 0.41 4.8 0.39 E 1

[596.93] 4305 171828 4 6 46 0.37 2.9 0.17 E Is [582.84] 0 171573 2 4 41 0.42 1.6 -0.08 E Is [597.84] 4305 171573 4 4 7.6 0.041 0.32 -0.79 E Is

2 3p — ('S)4s 2 P°_ 2§ 183.68 2870 547308 6 2 480 0.081 0.294 -0.313 C 2

[184.16] 4305 547308 4 2 320 0.081 0.196 -0.489 C Is [182.71] 0 547308 2 2 160 0.081 0.097 -0.79 C Is

260

CO

CO

CO

CO
Ca VIII

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi f 1 ]. The transition probability should also be quite accurate,

since the energy level difference is accurately known.

Reference

[1| Naqvi, A. M., Thesis Harvard (1951).Ca VIII. Forbidden Transitions

No.

Transition

Array Multiplet mA) Ej (cm ') Fa-

(

cm ') gi gk

Type of

Transition

4 a; (sec ') S ( at.u.)

Accuracy Source

1 3p-(‘S)3p o 1 65 13 O [23222] 0 4305 2 4 m 0.716 1.33 A 1

Ca IX

Ground State ls22s22p63s2 ‘So

Ionization Potential 188 eV= 1519000 cm"1

Allowed Transitions

List of tabulated lines:

Wavelength [A] No. Wavelength [A] No. Wavelength [A] No.

100.65 7 161.98 5 398.7 4

100.96 7 162.37 5 466.23 1 100.97 7 163.23 5 498.00 2 129.20 6 371.90 3 503.28 2

129.42 6 373.80 3 506. 16 2

129.45 6 373.98 3 507.09 2 129.93 6 378.09 3 512.06 2 129.97 6 378.38 3 515.57 2 129.99 6 378.57 3

The two available sources for this ion are the calculations of Zare [1], which include configuration interaction employing Hartree-Fock-Slater wave functions as a starting point, and the

charge-expansion method of Crossley and Dalgarno [2] which also includes configuration interaction but in a more limited way. For many of these transitions, the dependence of oscillator

strength on nuclear charge has served as an aid in estimating accuracies.

References

[1] Zare, R. N„ J. Chem. Phys. 47, 3561-3572 (1967). [2] Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soc. London A2 86 , 510 (1965).

261
CalX. Allowed Transitions

No. Transition

Array

Multiplet \(A) £i(cm _1

) Ek ( cm" 1 ) gi gk /h,-(10 8 sec

-1

)

fik S(at. u.) log^ Accuracy

Source

1 3s2 — 3s(2 S)3p i S _ip° [466.23] 0 214488 1 3 112 1.09 1.68 0.037 B 1

2 3s3p — 3

p

2 3p° 3p 506.69 145764 343122 9 9 95 0.366 5.5 0.52 c + 2

[506.16] 147370 344935 5 5 72 0.275 2.29 0.138 c + Is [507.09] 144130 341333 3 3 23.7 0.091 0.458 -0.56 c Is [515.57] 147370 341333 5 3 37.5 0.090 0.76 -0.347 c Is [512.06] 144130 339420 3 1 92 0.121 0.61 -0.440 c Is [498.00] 144130 344935 3 5 24.9 0.155 0.76 -0.333 c Is [503.28] 142635 341333 1 3 32.3 0.368 0.61 -0.434 c Is

3 3s3p-3s(2 S)3d 3p°_3J) 376.00 145 764 411723 9 15 152 0.54 6.0 0.69 c 1

[378.09] 147370 411858 5 7 150 0.450 2.80 0.352 c Is [373.80] 144130 411652 3 5 116 0.406 1.50 0.086 c Is [371.90] 142635 411525 1 3 88 0.55 0.67 -0.260 c Is [378.38] 147370 411652 5 5 37.4 0.080 0.50 -0.398 c Is [373.98] 144130 411525 3 3 65 0.135 0.50 -0.393 c Is [378.57] 147370 411525 5 3 4.1 0.0053 0.033 -1.58 E Is

4 ip°-'D [398.7] 214488 [465300] 3 5 220 0.89 3.5 0.43 D 1

5 3s3p-3s(2 S)4s 3p° _ 3g 162.80 145764 760002 9 3 680 0.090 0.436 -0.092 C 1

[163.23] 147370 760002 5 3 376 0.090 0.242 -0.347 c Is [162.37] 144130 760002 3 3 229 0.090 0.145 -0.57 c Is [161.98] 142635 760002 1 3 77 0.091 0.0484 -1.041 c Is

6 3s3p — 3s(2S)4d 3p° 3][) 129.69 145764 916852 9 15 510 0.22 0.83 0.29 D 1

[129.93] 147370 916990 5 7 510 0.18 0.39 -0.04 D Is [129.42] 144130 916780 3 5 390 0.16 0.21 -0.31 D Is [129.20] 142635 916652 1 3 290 0.22 0.092 -0.67 D- Is [129.97] 147370 916780 5 5 130 0.032 0.069 -0.79 D- Is [129.45] 144130 916652 3 3 220 0.054 0.069 -0.79 D- Is [129.99] 147370 916652 5 3 14 0.0022 0.0046 -1.97 E Is

7 3s3p — 3s( 2 S)5d 3p°_3J)

[100.96] 147370 1137880 5 7 240 0.051 0.085 -0.59 D 1, Is [100.65] 144130 1137720 3 5 180 0.046 0.046 -0.86 D 1, Is [100.97] 147370 1137720 5 5 60 0.0091 0.015 -1.34 D 1, Is

Ca IX

Forbidden Transitions

Naqvi’s calculations [1] are the only available source. The results for the ,! P° — 'P° transitions are essentially independent of the choice of the interaction parameters. For the ’P° — 'P°

transitions, Naqvi uses empirical term intervals, i.e., the effects of configuration interaction should

be partially included.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

262
Ca IX. Forbidden Transitions

No.

Transition

Array Multiplet mA) 1 5 £ Ek(cm~') gi gk

Type of

Transition Aki ( sec ') S(at.u.)

Accuracy Source

1 3s3p — 3p°_:(p°

3s( 2 S)3p

[66870] 142635 144130 1 3 m 0.0601 2.00 A 1 [30860] 144130 147370 3 5 m 0.459 2.50 A 1

2 3p° ip°

[1391.7] 142635 214488 1 3 m 7.5 0.00225 C 1 [1421.3] 144130 214488 3 3 m 158 0.050 C 1 [1489.9] 147370 214488 5 3 m 7.7 0.00282 C 1

CaX

Ground State ls2 2s22p63s 2 Si /2

Ionization Potential 211.29 eV = 1704660 cm-1

Allowed Transitions

List of tabulated lines:

Wavelength [A) No. Wavelength [A] No. Wavelength [A] No.

110.96 2 206.75 5 557.74 1 111.20 2 207.39 5 574.01 1 118.20 7 369.29 10 1137.0 9

151.83 4 371.90 10 1159.1 9

153.01 4 411.69 3 1162.1 9

167.00 6 419.76 3 1462.6 8

206.57 5 420.49 3 1504.5 8

Two sources of data are available for this ion: the calculations of Stewart and Rotenberg [1],

employing a scaled Thomas-Fermi potential, and the charge-expansion formulation of Crossley

and Dalgarno [2], which includes limited configuration mixing. Graphical comparisons of both works

with more refined values within the isoelectronic sequence indicate accuracies within 25 percent.

A number of additional values have been obtained from studies of the f-value dependence on nuclear

charge. The reliable material available for other ions of this isoelectronic sequence in these cases permits the determination of reliable values simply by graphical interpolation.

References

[1] Stewart, J. C., and Rotenberg, M., Phys. Rev. 140, 1508A-1519A (1965). [2] Crossley, R. J. S., and Dalgarno, A., Proc. Roy. Soc. London A286, 510-518 (1965).

263
CaX. Allowed Transitions

No. Transition

Array

Multiplet x(A) Ei( cm-1

) £t(cm-‘) gi gk /Gi(10«

sec

-1

)

fik S(at. u.) log gf Accuracy

Source

1 3s — 3p 2 S _ 2 po 563.06 0 177601 2 6 37.2 0.53 1.96 0.025 C 1 37.5 0.350 1.29 -0.155 C Is [557.74] 0 179295 2 4 35.4 0.175 0.66 -0.456 C Is [574.01] 0 174214 2 2

2 3s — 4p 2 S _2p° 111.04 0 900575 2 6 261 0.145 0.106 -0.54 C 1

[110.96] 0 901210 2 4 263 0.097 0.071 -0.71 C Is [111.20] 0 899305 2 2 261 0.0483 0.0354 -1.015 C Is

3 3p — 3d 2 P° — 2 D 417.08 177601 417361 6 10 97 0.420 3.46 0.401 C 2

[419.76] 179295 417527 4 6 95 0.376 2.08 0.177 C Is [411.69] 174214 417113 2 4 83 0.424 1.15 -0.072 C Is [420.49] 179295 417113 4 4 16 0.042 0.23 -0.78 D Is

4 3p — 4s 2 po_2S 152.62 177601 832838 6 2 740 0.086 0.26 0.29 C interp

[153.01] 179295 832838 4 2 480 0.084 0.17 0.47 C Is [151.83] 174214 832838 2 2 250 0.087 0.087 0.76 C Is

5 3d— 4p 2 D — 2 P° 206.95 417361 900575 10 6 290 0.11 0.75 0.04 C interp

[206.75] 417527 901210 6 4 260 0.11 0.45 -0.18 C Is [207.39] 417113 899305 4 2 280 0.092 0.25 -0.43 c Is [206.57] 417113 901210 4 4 29 0.018 0.050 -1.14 D Is

6 3d— 4/ 2 D — 2p° 167.00 417361 1016167 10 14 1600 0.93 5.1 0.97 c + interp

7 3d— 5/ 2 0 — 2p° 118.20 417361 1263357 10 14 580 0.17 0.66 0.23 c interp

8 4s —4p 2g _ 2po 1476.3 832838 900575 2 6 7.3 0.72 7.0 0.16 c interp

[1462.6] 832838 901210 2 4 7.6 0.49 4.7 -0.01 c Is [1504.5] 832838 899305 2 2 6.8 0.23 2.3 -0.34 c Is

9 4p —4d 2p0 _2J) 1151.8 900575 987394 6 10 25 0.83 19 0.70 c interp

[1159.1] 901210 987484 4 6 24 0.72 11 0.46 c Is [1137.0] 899305 987259 2 4 22 0.84 6.3 0.23 c Is [1162.1] 901210 987259 4 4 4.2 0.085 1.3 -0.47 D Is

10 4p —5s 2P°_ 2g 371.03 900575 1170098 6 2 220 0.15 1.1 -0.05 C interp

[371.90] 901210 1170098 4 2 140 0.15 0.73 -0.22 c Is [369.29] 899305 1170098 2 2 74 0.15 0.37 -0.52 c Is

Ca XI

Ground State ls22s22pfi 'So

Ionization Potential 591.8 eV = 4774300 cmH

Allowed Transitions

Calculations by Kastner, Omidvar, and Underwood [1], employing Hartree-Fock wave function and including intermediate coupling, are available. Since the calculations are based on a single-configuration approximation only, uncertainties of up to 50 percent are expected for the

strong lines and even higher uncertainties for the weak lines, the latter being more affected by

assumptions about the coupling.

264
Reference

[1] Kastner, S. O., Omidvar, K., and Underwood, J. H., Astrophys. J. 148, 269-273 (1967). CaXI. Allowed Transitions

No. Transition

Array

Multiplet A(A) Zsdcm -1

) Ek { cm- 1 ) gk /G,(10H sec

-1

)

fik S(at. u.) log gf Accuracy Source

1 2p

6 -

2/>5

( 2 P.°/2)3s

CO 1 co "do

[35.576] 0 2810900 l 3 1200 0.066 0.0077 -1.18 E 1

2 2p

6 -

2p5

( 2 P?/2 )3S

i S _.p° [35.213] 0 2839900 l 3 2000 0.11 0.013 -0.96 D 1

3 2p

6 -

2p5

( 2 P£/2 )3d

>S- 3 P°

[31.257] 0 3199300 l 3 170 0.0074 7.6 X 10-4 -2.13 E 1

4 2p

6 -

2p5

( 2 P3°

/2 )3d

>S-'P° [30.867] 0 3239700 l 3 4.9 x 104 2.1 0.21 0.32 D 1

5 2p

6 -

2p5

(2P°/2 )3d

>S- :i D°

[30.448] 0 3284300 l 3 6200 0.26 0.026 -0.59 D 1

CaXlI

Ground State ls22s2 2p5 2P°3/2

Ionization Potential 655 eV

Forbidden Transitions

The line strength for the one transition in the ground state configuration is a straight number,

tabulated for example by Naqvi [1]. The transition probability should also be quite accurate,

since the energy level difference is accurately known.

Reference

[1] Naqvi, A. M., Thesis Harvard (1951).

CaXII. Forbidden Transitions

No.

Transition

Array Multiplet mA) Ej( cm ') Ek ( cm” 1 ) gi gk

Type of

Transition Aki{sec

-1

) S(at.u.)

Accuracy Source

1 2p5 — 2p5 2po 2p°

(1 F)

3329.5 0 30028 4 2 m 486 1.33 A 1

265
Ground State

Ionization Potential

Ca XIII

ls2 2s2 2p43 P2

Forbidden Transitions

Krueger and Czyzak’s [1] values have been used for this ion, except for the magnetic dipole

3p0 !_3pj 3 transitions where Naqvi’s [2] results have been applied. Some wavelength data are from observed coronal lines. The electric quadrupole moment (s 9 ) is based on self-consistent field

wave functions with exchange.

References

[1] Krueger, T. K. and Czyzak, S. J., Astrophys. J. 144, 1194-1202 (1966).

[2] Naqvi, A. M. Thesis Harvard (1951).

CaXII. Forbidden Transitions

No.

Transition

Array Multiplet mA) Ei{ cm ') Ek ( cm ') g> gk

Type of

Transition Aki (sec ') S ( at.u.)

Accuracy Source

1 21> 4 — 2/H ap_ 3 p

(IF)

4086.5 0 24464 5 3 e 0.00362 0.0074 C 1 4086.5 0 24464 5 3 m 317 2.41 B 2 [3484] 0 [28660] 5 1 e 0.0111 0.00340 c- 1 [23810] 24464 [28660] 3 1 m 3.84 1.92 B- 2

03 T) 1 5

[1124] 0 [89000] 5 5 e 0.30 0.0016 D- 1 [1124] 0 [89000] 5 5 m 850 0.223 c- 1 [1550] 24464 [89000] 3 5 e 0.0089 2.4 x 10 -4 D- 1 [1550] 24464 [89000] 3 5 m 111 0.077 c- 1 [1658] [28660] [89000] 1 5 e 0.0068 2.5 x 10~ 4 D 1 3p_lS

[560.2] 0 [178500] 5 1 e 1.2 3.9 x 10- 5 D- 1 [649.4] 24464 [178500] 3 1 m 8200 0.083 C- 1

! D — >S [1117] [89000] [178500] 5 1 e 7.4 0.0076 D 1

Ca XV

Ground State

Ionization Potential

ls22s2 2/P 3 P0?

Forbidden Transitions

Krueger and Czyzak's [ 1 J values have been used for this ion. except for the magnetic dipole

3 Po.i- 3 Pi.3 transitions where Naqvi's [2] results have been applied. Some wavelength data are from observed coronal lines. The electric quadrupole moment (5,7) is based on self-consistent field

wave functions with exchange.

References

266

[1] Krueger. T. K. and Czyzak. S. J., Astrophys. J. 144, 1194-1202 (1966).

[2] Naqvi. A. M. Thesis Harvard (1951).
Ca XV. Forbidden Transitions

No.

Transition

Array Multiplet mA) £j(cm ') gi gk

Type of

Transition Aki (sec~') S(at.u.)

Accuracy Source

1 2p

2 - 2

p

2 3 P- 3 P

5694.44 0 17556 1 3 m 94.9 1.95 B 2 [2783.8] 0 35911 1 5 e 0.0060 0.00297 C 1 5446.44 17556 35911 3 5 m 77.8 2.33 B 2 5446.44 17556 35911 3 5 e 4.00 X 10- 4 0.0057 C 1

2

W "T3 1 6

[916.7] 0 [109070] 1 5 e 0.015 2.8 X 10-5 D- 1 [1093] 17556 [109070] 3 5 m 670 0.163 C- 1 [1093] 17556 [109070] 3 5 e 0.087 4.0 X 10- 4 D- 1 [1367] 35911 [109070] 5 5 m 960 0.455 C- 1 [1367] 35911 [109070] 5 5 e 0.19 0.0026 D- 1

3

3 P-'S

[581.3] 17556 [189570] 3 1 m 8500 0.062 C- 1 [650.8] 35911 [189570] 5 1 e 4.4 3.0 X 10- 4 D- 1

4 'D-'S

[1242] [109070] [189570] 5 1 e 5.9 0.010 D 1

308-022 0-69 20 267
LIST OF RECENT ADDITIONAL MATERIAL

(New material which would have been considered if received before cut-off date)

Spectrum References Spectrum References

Na I 1,2, 10 Piv 11

Mg I 9, 11 Ar I 7

Mg II 10

Kl 10

All 3

A1 ii 11 Ca I 11

Ca II 10

Si i 4, 5, 6, 8

Si ii 4

Si ill 4. 11

Si iv 12

References and Comments

[1] Hameed, S., Herzenberg, A., and James, M. G., J. Phys. B (Proc. Phys. Soe.) Ser. 2, 1, 822-830

(1968). Na I Self-consistent field calculations with core polarization for the resonance transition. Results agree within a few percent with our tabulated value.

[2J Wolff, R. J., and Davis, S. P., J. Opt. Soe. Am. 58, 490-495 (1968). Na I Lifetime of 3p

2 P° state. Agrees exactly with our listed number.

[3] Cunningham, P. T., J. Opt. Soe. Am. 58, 1507-1509 (1968). All

Phase-shift lifetime of 4s 2 Si/2 and 3d 2D states. Supports within 2-4 percent our adopted absolute

scale.

[4] Hofmann, W., Max Planck Institut fur Physik und Astrophysik MPI-PAE/Extraterr. (January,

1969). Si I, II, III Vacuum uv stabilized-arc experiment. Agreement with our tabulated data is quite good for

Si I, although Hofmann has values for many more lines. The absolute values appear to be

low for Si II, but the relative values agree quite well with ours. Does not agree with our listed value (and systematic trends) for Si III. [5] Schulz-Gulde, E., J. Quant. Spectrosc. Radiat. Transfer 9, 13-29 (1969). Si I, II Wall-stabilized arc experiment. The values are in poor agreement with our listed values and

the calculations of refs. [6] and [8] below. We recommend these new experimental values over

those of refs. [6] and [8] and our tabulated data.

[6] Armstrong, Jr., L., and Liebermann, R., J. Quant. Spectrosc. Radiat. Transfer 9, 123-128 (1969). Si IIntermediate coupling calculations with absolute scale from wavefunctions with self-consistent

field type potential. Should be considered along with ref. [8] when values are not available from ref. [5]. \1\ Veroleinen, Ya. F., and Osherovich, A. L., Optics and Spectroscopy (U.S.S.R.) 25, 258-259

(1968). Ar I Delayed-coincidence lifetimes. See comment under Ar I. [8] Warner, B., Monthly Notices Roy. Astron. Soc. 139, 1-34 (1968)

Si IIntermediate coupling calculations with wavefunctions from Thomas-Fermi-Dirac potential

and with configuration mixing. Should be considered along with ref. [6] when values are not

available from ref. [5]. [9] Warner, B., Monthly Notices Roy. Astron. Soc. 139, 103-113 (1968). Mg I Calculations similar to those of ref. [8]. Results agree usually very well with our values.

[10] Warner, B., Monthly Notices Roy. Astron. Soc. 139, 115-128 (1968). Na i. Mg ii, K I, Ca II Calculations similar to those of ref. [8]. The results agree within a few percent with our values.

[11] Warner, B., Monthly Notices Roy. Astron. Soc. 140, 53-59 (1968). Mg I, A1 II, Si III, P IV, Ca I Intermediate coupling calculations with Thomas-Fermi-Dirac wavefunctions. Results usually agree well with our listed data where one would expect.

[12] Warner, B., Monthly Notices Roy. Astron. Soc. 141, 273-276 (1968). Si iv Calculations based on scaled Thomas-Fermi wavefunctions. The agreement with our tabulated

material is excellent.
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numerical analysis, theoretical physics and chemistry, logical design and programming of computers

and computer systems. Short numerical tables.

Issued quarterly. Annual subscription: Domestic,

$5.00; foreign, $6.25*.

• Engineering and Instrumentation

Reporting results of interest chiefly to the engineer

and the applied scientist. This section includes many

of the new developments in instrumentation resulting

from the Bureau’s work in physical measurement,

data processing, and development of test methods.

It will also cover some of the work in acoustics,

applied mechanics, building research, and cryogenic

engineering. Issued quarterly. Annual subscription:

Domestic, $5.00; foreign, $6.25*.

TECHNICAL NEWS BULLETIN

The best single source of information concerning

the Bureau’s research, developmental, cooperative

and publication activities, this monthly publication

is designed for the industry-oriented individual whose

daily work involves intimate contact with science

and technology

for engineers, chemists, physicists , research managers, product-development managers, and

company executives. Annual subscription: Domestic,

$3.00; foreign, $4.00*.

'Difference in price is due to extra cost of foreign mailing. Order NBS publications from:

NONPERIODICALS

Applied Mathematics Series. Mathematical

tables, manuals, and studies.

Building Science Series. Research results, test methods, and performance criteria of building materials, components, systems, and structures. Handbooks. Recommended codes of engineering

and industrial practice (including safety codes) developed in cooperation with interested industries,

professional organizations, and regulatory bodies.

Special Publications. Proceedings of NBS conferences, bibliographies, annual reports, wall charts,

pamphlets, etc. Monographs. Major contributions to the technical literature on various subjects related to the

Bureau’s scientific and technical activities.

National Standard Reference Data Series.

NSRDS provides quantitative data on the physical

and chemical properties of materials, compiled from

the world’s literature and critically evaluated.

Product Standards. Provide requirements for

sizes, types, quality and methods for testing various

industrial products. These standards are developed

cooperatively with interested Government and industry groups and provide the basis for common

understanding of product characteristics for both

buyers and sellers. Their use is voluntary.

Technical Notes. This series consists of communications and reports (covering both other agency

and NBS-sponsored work) of limited or transitory

interest.

Federal Information Processing Standards

Publications. This series is the official publication

within the Federal Government for information on

standards adopted and promulgated under the Public Law 89—306, and Bureau of the Budget Circular

A-86 entitled, Standardization of Data Elements

and Codes in Data Systems.

CLEARINGHOUSE

The Clearinghouse for Federal Scientific and

Technical Information, operated by NBS, supplies

unclassified information related to Governmentgenerated science and technology in defense, space,

atomic energy, and other national programs. For

further information on Clearinghouse services, write:

Clearinghouse

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Springfield, Virginia 22151

Superintendent of Documents

Government Printing Office

Washington, D.C. 20402
Announcement of New Publications in

National Standard Reference Data Series

Superintendent of Documents,

Government Printing Office,

Washington, D.C. 20402

Dear Sir:

Please add my name to the announcement list of new publications to be issued

in the series: National Standard Reference Data Series — National Bureau of

Standards.

Name

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(Notification key N-337)

(cut

here)

Publications in the National Standard Reference Data Series

National Bureau of Standards

You may use this listing as your order form by

checking the proper box of the publication(s) you

desire or by providing the full identification of the

publication you wish to purchase. The full letter

symbols with each publication number and full

title of the publication and author must be given in

your order, e.g., NSRDS-NBS-17, Tables of

Molecular Vibrational Frequencies, Part 3, by

T. Shimanouchi.

Pay for publications by check, money order, or Superintendent of Documents coupons or deposit

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must cover postage. Therefore, one-fourth of the

price of the publication should be added for postage.

Send your order together with remittance to Superintendent of Documents, Government Printing Office, Washington, D.C. 20402.

NSRDS-NBS 1, National Standard Reference Data System — Plan of Operation, by

E. L. Brady and M. B. Wallenstein, 1964 (15

cents).

NSRDS-NBS 2, Thermal Properties of

Aqueous Uni-univalent Electrolytes, by

V. B. Parker, 1965 (45 cents).

NSRDS-NBS 3, Sec. 1, Selected Tables of

Atomic Spectra, Atomic Energy Levels and

Multiplet Tables, Sill, Si III, Si IV, by C. E.

Moore, 1965 (35 cents).

NSRDS-NBS 3, Sec. 2, Selected Tables of

Atomic Spectra, Atomic Energy Levels

and Multiplet Tables, Si I, by C. E. Moore,

1967 (20 cents).

NSRDS-NBS 4, Atomic Transition Probabilities, Volume 1, Hydrogen Through

Neon, by W. L. Wiese, M. W. Smith and B. M.

Glennon, 1966 ($2.50).

NSRDS-NBS 5, The Band Spectrum of

Carbon Monoxide, by P. H. Krupenie, 1966

(70 cents).

NSRDS-NBS 6, Tables of Molecular Vibrational Frequencies, Part 1, by T.

Shimanouchi, 1967 (40 cents).

NSRDS-NBS 7, High Temperature Properties and Decomposition of Inorganic

Salts, Part 1, Sulfates, by K. H. Stern and

E. L. Weise, 1966 (35 cents).

NSRDS-NBS 8, Thermal Conductivity of

Selected Materials, by R. W. Powell, C. Y.

Ho, and P. E. Liley, 1966 ($1).

NSRDS-NBS 9, Bimolecular Gas Phase Reactions, by A. F. Trotman-Dickenson and G. S. Milne, 1967 ($2).

NSRDS-NBS 10, Selected Values of Electric Dipole Moments for Molecules in the

Gas Phase, by R. D. Nelson, Jr., D. R. Lide,

Jr., and A. A. Maryott, 1967 (40 cents).

NSRDS-NBS 11, Tables of Molecular Vibrational Frequencies, Part 2, by T. Shimanouchi, 1967 (30 cents).

NSRDS-NBS 12, Tables for the Rigid Asymmetric Rotor: Transformation Coefficients

From Symmetric to Asymmetric Bases and

Expectation Values of Pf, Pf, and P®, by

R. H. Schwendeman, 1968 (60 cents).

NSRDS-NBS 13, Hydrogenation of Ethylene on Metallic Catalysts, by J. Horiuti and

K. Miyahara, 1968 ($1).

NSRDS-NBS 14, X-Ray Wavelengths and

X-Ray Atomic Energy Levels, by J. A.

Bearden, 1967 (40 cents).

NSRDS-NBS 15, Molten Salts, Vol. 1. Electrical Conductance, Density, and Viscosity

Data, by G. Janz, F. W. Dampier, G. R. Lakshiminarayanan, P. K. Lorenz, and R. P. T.

Tomkins, 1968 ($3).

NSRDS-NBS 16, Thermal Conductivity of

Selected Materials, Part 2, by C. Y. Ho,

R. W. Powell, and P. E. Liley, 1968 ($2).

NSRDS-NBS 17, Tables of Molecular Vibration Frequencies, Part 3, by T. Shimanouchi,

1968 (30 cents).

NSRDS-NBS 18, Critical Analysis of the

Heat-Capacity Data of the Literature and

Evaluation of Thermodynamic Properties

of Copper, Silver, and Gold From 0 to

300 K, by G. T. Furukawa, W. G. Saba, and

M. L. Reilly, 1968 (40 cents).

NSRDS-NBS 19, Thermodynamic Properties of Ammonia as an Ideal Gas, by L. Haar, 1968 (20 cents).

NSRDS-NBS 20, Gas Phase Reaction Kinetics of Neutral Oxygen Species, by H. S. Johnston, 1968 (45 cents).

NSRDS-NBS 21, Kinetic Data on Gas Phase

Unimolecular Reactions, by S. W. Benson

and H. E. O’Neal (in press).

U.S. GOVERNMENT PRINTING OFFICE 1969 OL— 308-022
.