Distributions in Aluminum and

Copper Irradiated by

Point-Monodirectional Electron

Beams With Energies From

1 to 60 MeV

U.S. DEPARTMENT OF COMMERCE

National Bureau of Standards

Washington, DC 20234

October 1982

Prepared for; Office of Naval Research

Arlington, Virginia 22217

-QC

100

.U56

r pace Science Data Center

ASA Goddard Space Flight Center

reenbelt, Maryland 20771

82-2579
V
NBSIR 82-2579

TABLES OF ENERGY DEPOSITION

DISTRIBUTIONS IN ALUMINUM AND

COPPER IRRADIATED BY

POINT-MONODIRECTIONAL ELECTRON

BEAMS WITH ENERGIES FROM

1 TO 60 MeV

r

WATIONAL BUREAU

OF STANDARDS

UDRARY

MAR 15 1983

M. J. Berger and S. M. Seltzer

U.S. DEPARTMENT OF COMMERCE

National Bureau of Standards

Washington, DC 20234

October 1982

Prepared for: Office of Naval Research

Arlington, Virginia 22217

Space Science Data Center

NASA Goddard Space Flight Center

Greenbelt, Maryland 20771

U.S. DEPARTMENT OF COMMERCE, Malcolm Baldrige, Secretary

NATIONAL BUREAU OF STANDARDS, Ernest Ambler, Director

i

Tables of Energy Deposition Distributions in Aluminum and Copper Irradiated

* by Point-Monodi recti onal Electron Beams with Energies from 1 to 60 MeV

M. J. Berger and S. M. Seltzer

National Bureau of Standards

Washington, D.C. 20234

This report presents tables of energy deposition distributions in

aluminum and copper media irradiated by monoenergetic point-monodi recti onal

electron beams. The distributions are given as functions of the depth in

the medium and of the radial distance from the incident beam. Results are given for 7 beam energies between 1 MeV and 60 MeV. As shown earlier in

National Bureau of Standards Report NBSIR 82-2451 (1982), the tabulated

results from monoenergetic, point-monodi rectional sources can be used, by

superposition, to obtain spatial distributions of the energy imparted to

the medium by parallel beams with arbitrary spectra and finite arbitrary

cross sections.

Key words: absorbed-dose distribution; aluminum; copper; electron; pointmonodi rectional beam; superposition.

This work was supported by the Office of Naval Research and by the Space Science Data

Center at the NASA Goddard Space Flight Center.
1. INTRODUCTION

The spatial distribution of energy imparted to a medium irradiated by an electron

beam depends on the electron stopping power and on the multiple scattering of the

electrons in the medium. Even when the incident beam is narrowly collimated (pointmonodirectional ) , the distribution of imparted energy spreads laterally with depth in

the medium, as the result of multiple scattering. The higher the atomic number of

the medium, the greater are the effects of multiple scattering.

In a previous report [1]^ we have presented comprehensive tables of the spatial

distribution of imparted energy in a water medium irradiated by point-monodirectional

monoenergetic electron beams with energies from 1 to 60 MeV. It was also shown in

reference [1] how these "elementary" distributions can be combined by superposition

to obtain the spatial distribution of imparted energy from parallel electron beams

with finite cross sections of arbitrary shape. Of course one can also use weighted

sums of elementary distributions for monoenergetic sources to obtain results for

incident electron beams with arbitrary spectra.

The results for water were generated mainly with a view towards applications in

biomedical dosimetry, for example in radiation treatment planning. In the present

report the calculations are extended to other media of higher atomic number (aluminum

and copper) to provide information of interest for radiation damage studies in terms

of imparted energy.

The calculations were, as in reference [1], carried out with the Monte Carlo

transport program ETRAN [2]. A point-monodirectional electron beam with kinetic

energy T^ was assumed to be incident along the z-axis onto a semi -infinite medium

that occupies the region z > 0. The electron tracks simulated by random sampling were analyzed to obtain an estimate of the elementary distribution function F(p,z).

This distribution is defined such that F(p,z)dpdz represents the average fraction

of the incident beam energy that is deposited at depths between z and z + dz and

at radial distances between p and p + dp from the z-axis. This distribution is

normalized such that

The Monte Carlo results were actually obtained, and were tabulated, in the form

of the following histogram distributions:

2. CONDITIONS OF CALCULATION

(

1 )

Numbers in brackets indicate literature references at the end of this paper.

2
a) Distribution of imparted energy in depth intervals.

H„ =100 f dz f dp' F(p'.z) . (2)

•^^n-1

0

b) Cumulative radial distribution of imparted energy in indicated depth

intervals.

'F^(p) = 100

dp'F(p' ,z)

dp'F(p' ,z)

(3)

The boundaries of the depth intervals were chosen such that

Zn = nr^/20, n = 0, 1, 2 ... (4)

where r^ is the c.s.d.a. range (rectified pathlength computed in the continuousslowing-down approximation) at the incident-beam energy T^. Similarly, tabular

values of i|^^(p) are given for p-values that are specified fractions of r^. The

distributions of imparted energy are thereby "scaled" in the sense that their

dependence on the incident beam energy T^ is minimized, which facilitates interpolation with respect to T^.

3. ELECTRON RANGES

The Monte Carlo calculations for this report were done some time ago, with the

best cross sections then available for the electron energy loss per unit pathlength.

Since then, the collision stopping power (mean energy loss per unit pathlength due to

excitations and ionizations) and the radiative stopping power (mean energy loss per

unit pathlength due to the emission of bremsstrahlung) have been revised [3]. For the

collision stopping power, more up-to-date experimental values were used for the mean

excitation energy (the key parameter of the Bethe stopping power formula). Moreover,

the density-effect correction (reduction of energy loss due to the polarization of the

medium) was improved. The universal approximation formula of Sternheimer and Peierls

[4] was no longer used. Instead, the density-effect was evaluated according to the

original method of Sternheimer [5], using up-to-date values of the mean excitation

3
energy and of the atomic binding energies needed for the modeling of the dispersion

properties of the medium. In regard to the radiative stopping power, the principal

changes consist of the use of the new theoretical cross sections of Pratt et al. [6]

below 2 MeV, the re-evaluation of the cross sections of Davies, Bethe, Maximon, and

Olsen [7] above 50 MeV, and the use of interpolation with respect to electron energy

to cover the region from 2 to 50 MeV.

Fortunately the use of improved cross sections resulted in relatively small

changes in the stopping powers for aluminum and copper compared to those used in the

Monte Carlo calculations, and the corresponding changes of the c.s.d.a. ranges, shown

in table 1, are equally small. It is expected to be a good approximation to assume

that the scaled spatial distributions of imparted energy, expressed in terms of the

variables p/r^ and z/r^, are not affected by the change of cross sections. The

appropriate adjustment to the new cross sections can then be made simply by using the new range values when converting the spatial distributions from the scaled form into

unsealed distributions as functions of p and z.

4. RESULTS

Spatial distributions of imparted energy from point monodi recti onal electron

beams, are given for 7 beam energies from 1 MeV to 60 MeV. The results at each

energy are based on a sample of 10,000 tracks of primary electrons as well as the

tracks of all generations of secondary electrons (including those set in motion by

bremsstrahlung photons). Tables 2A and 2B give the histogram distributions

with respect to depth, for aluminum and copper. Tables 3A and 3B give the cumulative

histogram distributions ^^(p) with respect to radial distance from the incident

beam, in various depth intervals, for aluminum and copper.

4
REFERENCES

[1] Berger, M. J. and Seltzer, S. M. , National Bureau of Standards Report

NBSIR 82-2451 (1982).

[2] Berger, M. J. and Seltzer, S. M., National Bureau of Standards Report 9837

(1968).

[3] Berger, M. J. and Seltzer, S. M., National Bureau of Standards Report

NBSIR 82-2550 (1982).

[4] Sternheimer, R. M. and Peierls, R. F., Phys. Rev. B^, 3681 (19.71).

[5] Sternheimer, R. M. , Phys. Rev. 851 (1952).

[6] Pratt, R. H. , Tseng, H. K. , Lee, C. M., Kissel, L., MacCallum, C., and Riley, M.,

Atomic Data and Nuclear Data Tables 175 (1977); errata in 477 (1981).

[7] Davies, H., Bethe, H. A., and Maximon, L. C., Phys. Rev. W, 788 (1954); and

Olsen, H., Phys. Rev. 99, 133 (1955).

I

5
Table 1. Electron ranges in aluminum and copper

Aluminum Copper

To

(HeV)

2 Tq (g/cm )

01 d^ Nev/"

Percent

Difference

Tq (g/cm^)

01 d"^ Nev/"

Percent

Difference

60 23.68 23.56 - 0.5 20.27 20.29 0.1

40 18.00 17.90 - 0.6 16.20 16.24 0.2

20 10.63 10.56 - 0.7 10.36 10.43 0.7

10 5.898 5.861 - 0.6 6.116 6.183 1.1

5 3.107 3.092 - 0.5 3.358 3.408 1.5

2 1.221 1.224 0.2 1.364 1.384 1.8

1 0.5508 0.5546 0.7 0.6249 0.6367 1.9

* Ranges are computed in continuous-sl owing-down approximation and represent

rectified pathlengths traveled by electrons in the course of slowing down to

rest. a

Old: used in Monte Carlo calculations.

•t ^New: From reference [3].
TABLE 2A. Distribution of energy deposition in aluminum as a function

of depth. The numbers in the column headed "Scaled depth

interval" are the depth boundaries in units of the Cisld.a.

range ro. The other columns give the quantity Hp as defined by Eq (2), i.e. , the percentage of the beam

energy that is deposited in the indicated depth interval.

Energy Deposition as a Function of Depth in Aluminum

Beam energy. MeV

Scaled depth

interval

60 40 20 10 5 2 1

0.0 _ 0.05 2.97 3.38 3.91 4.29 4.61 4.91 5.04

0.05 - 0.10 3.16 3.58 4.18 4.68 5.20 5.97 6.45

0.10 - 0.15 3.23 3.73 4.35 5.03 5.88 7.06 7.81

0.15 - 0.20 3.35 3.76 4.51 5.21 6.43 8.15 8.74

0.20 - 0.25 3.47 3.88 4.58 5.61 6.95 8.78 9.17

0.25 - 0.30 3.63 3.98 4.76 6.01 7.64 9.00 9.26

0.30 - 0.35 3.64 4.07 5.05 6.35 7.99 8.89 8.88

0.35 - 0.40 3.69 4.14 5.09 6.65 8.06 8.41 8.31

0.40 - 0.45 3.76 4.16 5.33 6.97 7.76 7.60 7.60

0.45 - 0.50 3.75 4.19 5.39 6.89 7.31 6.82 6.57

0.50 - 0.55 3.75 4.27 5.48 6.70 6.58 5.92 5.42

0.55 - 0.60 3.71 4.25 5.49 6.17 5.81 4.77 4.27

0.60 - 0.65 3.64 4.20 5.31 5.64 4.92 3.62 3.15

0.65 - 0.70 3.54 4.07 5.01 4.91 3.89 2.64 2.07

0.70 - 0.75 3.45 3.82 4.52 3.95 2.80 1 .78 1 .31

0.75 - 0.80 3.25 3.60 3.95 3.02 1 .87 1 .04 0.75

0.80 - 0.85 3.03 3.38 3.25 2.12 1 .06 0.53 0.40

0.85 - 0.90 2.84 2.99 2.55 1.35 0.54 0.21 0.14

0.90 - 0.95 2.55 2.56 1 .82 0.71 0.24 0.06 0.04

0.95 - 1 .00 2.26 2.11 1 .21 0.30 0.07 0.02 0.01

1 .00 - 1 .05 1.98 1 .69 0.71 0.13 0.03 0.00 0.00

1 .05 - 1 .10 1 .69 1.33 0.40 0.06 0.02 0.01 0.00

1 .10 - 1.15 1 .43 0.98 0.23 0.05 0.01 0.00 0.00

1.15 - 1 .20 1 .16 0.72 0.16 0.05 0.02 0.00 0.00

1 .20 - 1 .25 0.99 0.52 0.14 0.05 0.01 0.01 0.00

1 .25 - 1 .30 0.83 0.40 0.13 0.04 0.01 0.00 0.00

1 .30 - 1 .35 0.72 0.33 0.13 0.03 0.01 0.00 0.00

1 .35 - 1 .40 0.60 0.32 0.12 0.03 0.01 0.00 0.00

1 .40 - 1 .45 0.56 0.31 0.10 0.03 0.01 0.00 0.00

1 .45 - 1 .50 0.53 0.29 0.10 0.02 0.01 0.00 0.0

1 .50 - 1 .55 0.51 0.28 0.10 0.02 0.01 0.00 0.00

1.55 - 1 .60 0.48 0.28 0.09 0.02 0.01 0.00 0.00

1 .60 - 1 .65 0.48 0.29 0.07 0.02 0.00 0.00 0.00

1 .65 - 1 .70 0.47 0.26 0.08 0.03 0.01 0.00 0.00

1 .70 - 1 .75 0.44 0.27 0.07 0.02 0.00 0.00 0.0

1 .75 - 1 .80 0.42 0.28 0.07 0.02 0.01 0.00 0.0

1 .80 - 1 .85 0.39 0.26 0.07 0.02 0.00 0.00 0.00

1 .85 - 1 .90 0.39 0.24 0.07 0.02 0.00 0.00 0.00

1 . 90 - 1 .95 0.39 0.23 0.07 0.02 0.00 0.00 0.0

1 .95 - 2.00 0.34 0.23 0.06 0.02 0.00 0.00 0.0

7
TABLE 2B. Distribution of energy deposition in copper as a function

of depth. The numbers in the column headed "Scaled depth

interval" are the depth boundaries in units of the c.s.d.a.

range ro- The other columns give the quantity as defined by Eq (2), i.e. , the percentage of the beam energy

that is deposited in the indicated depth interval.

Energy Deposition as a Function of Depth in Copper

Beam energy » MeV

Scaled depth

interval

60 40 20 10 5 2 1

0.0 - 0.05 2.23 2.66 3.48 4.41 5.62 7.12 7.61

0.05 - 0.10 2.47 2.95 3.90 5.31 7.37 9.70 10.73

0.10 - 0.15 2.64 3.13 4.32 6.16 8.68 11 .33 12.01

0.15 - 0.20 2.84 3.42 4.65 6.84 9.56 1

1

.43 11.63

0.20 - 0.25 3.02 3.60 5.06 7.50 9.67 10.56 10.54

0.25 - 0.30 3.20 3.75 5.40 7.81 9.32 9.38 9.04

0.30 - 0.35 3.36 3.96 5.64 7.74 8,55 7.82 7.37

0.35 - 0.40 3.44 4.04 5.78 7.42 7.62 6.28 5.43

0.40 - 0.45 3.60 4.16 5.84 6.80 6.38 4.87 4.18

0.45 - 0.50 3.55 4.13 5.57 6.05 5.16 3.45 2.87

0.50 - 0.55 3.55 4.11 5.08 5.19 3.94 2.44 1 .87

0.55 - 0.60 3.41 3.83 4.69 4.13 2.85 1 .52 1 .07

0.60 - 0.65 3.33 3.60 4.08 3.32 1 .88 0.91 0.58

0.65 - 0.70 3.14 3.42 3.45 2.42 1 .18 0.41 0.27

0.70 - 0.75 2.94 3.08 2.86 1 .73 0.65 0.17 0.08

0.75 - 0.80 2.76 2.78 2.24 1.12 0.33 0.06 0.03

0.80 - 0.85 2.58 2.41 1 .73 0.70 0.14 0.02 0.02

0.85 - 0.90 2.33 2.01 1 .24 0.36 0.08 0.02 0.00

0.90 - 0.95 2.15 1 .72 0.92 0.19 0.03 0,01 0.00

0.95 - 1 .00 1 .86 1 .44 0.65 0.14 0.04 0.01 0.00

1 .00 - 1 .05 1 .70 1 .25 0.41 0.10 0.03 0.01 0.00

1 .05 - 1 .10 1.52 1 .06 0.33 0.09 0.03 0.00 0.00

1.10 - 1.15 1 .37 0.93 0.27 0.08 0.02 0.01 0.00

1.15 - 1 .20 1.19 0.84 0.23 0.10 0.03 0.00 0.00

1 .20 - 1 .25 1 .03 0.74 0.20 0.08 0.02 0.00 0.00

1 .25 - 1 .30 0.94 0.63 0.20 0.07 0.03 0.00 0.00

1 .30 - 1 .35 0.89 0.57 0.19 0.06 0.01 0.00 0.00

1 .35 - 1 .40 0.79 0.55 0.17 0.05 0.02 0.00 0.00

1 .40 - 1 .45 0.76 0.55 0.17 0.05 0.02 0.00 0.00

1.45 - 1 .50 0.70 0.53 0.19 0.06 0.02 0.00 0.00

1 .50 - 1 .55 0.66 0.52 0.17 0.06 0.02 0.00 0.00

1 .55 - 1 .60 0.61 0.47 0.16 0.05 0.01 0.00 0.00

1 .60 - 1 .65 0.60 0.45 0.16 0.05 0.01 0.00 0.00

1 .65 - 1 .70 0.60 0.43 0.14 0.05 0.01 0.00 0.0

1 .70 - 1 .75 0.59 0.40 0.14 0.04 0.01 0.00 0.00

1 .75 - 1 .80 0.55 0.38 0.14 0.03 0.01 0.00 0.00

1 .80 - 1 .85 0.53 0.38 0.14 0.04 0.01 0.00 0.00

1 .85 - 1 .90 0.55 0.34 0.15 0.04 0.01 0.00 0.00

1.90 - 1 .95 0.52 0.33 0.15 0.03 0.01 0.00 0.00

1 .95 - 2.00 0.48 0.30 0.13 0,02 0.01 0.00 0.00

8
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10
Cumulative

Radial

Energy-Deposition

Distribution

in

Aluminum^

Beam

Energy

=

60

MeV

lOO (lOfOr-cMoioeomr'in «^cM*3•ro^oc^c^)<r^oroe>too'^o^o

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<^so<'**in(^ioso(^>— si^^o^'•(^o*~

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o o o o (SI to sd- SO 00 os so o in o in o in o sd- CO in CO to OO (SI sd- OS (SI K) sds in in so r. r% OO CO OS OS OS Ch OS Os OS o

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in o

so (S' 1^ n. CO »- (SI o CO •- m to sa* co (si o- co to os i>^ •- (?s o> o o co

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o o in o- o (SI to (SI (Js so (sj t^ O' (SI in o* csi in so t>- co co os os o

o o oo»-(siioinr«»<»* CsIsO O' si- O so S- so •- so O si- (N. s3- so O' lO sO CO O (SI lO sj" m in sO CO CO s— (SI to to sd* ^ in in so so so n> co co co O' cts os os os os (ts (as os os os os COO^C^OsO^Os^Os(7sO

oin

so so (si(siior>.cococoisiintN, (sicooinioioinososctos in sd- sd- in 1^ O' 1^ t>- o o* o s- in so m m (si so co h* to co •- os o <as (<»sd" 00 ^ sd" O' CO O' in sd- <Ts O' m so in sd* co so ^ o i^ to o» to rv os csi to in hsincocsisd-soins— soo

cascsiioinsot^coososo

CQ=C

ho o e>o(siioint^<a'(sisd'r». to <as in (SI CO to CO to i>. ^ sd- r>. o (SI sd- n. (»s to sd- in in so so («• r>. (•» co co co

(SI (SI to >0 ^ in in so so hs' hs CO CO CO co co <as (as os os os os os (^ cn cas o« os os cO^^^ososososca^o

(^ 0^ O'

*0 Minoinoinoinomo

e D o — t- (M (SI to to sd- srin iH-HOOOOOOOOOO

I8T3 u rOoooooooooo

tn M

ooooooooooooooo

soh-coiasos— (sitosd-insor^cooso

oooos-s- — <— •-•-•-•- — ^(si

ooooooooooooooo

ooooooooooooooo

(Sisd-socoo(sisd-s(acoo(sisd-socoo

(si(si(si(siioioioioiosi‘^>a-sd-^in

ooooooooooooooo

oooooooooo inoinoinoinoino

insDsoi^r^cocotascaso

ooooooooo*-

11
Cumulative

Radial

Energy-Deposition

Distribution

in

Aluminum*

Beam

Energy

=

^0

MeV

CQchin O <r *a- CM in OS OS «— hs so OS OS in SO in to to CM CM CM si- in CM Os CM CO CM s;f to 00 r— tx tx Os SO si o tx o in CO CM CM *— in CO o

in O — VP to CM SO CM o •- si- r-s CM CO si- Os — •- rx o so *- CM OS si SO si- si OS OS in CO CO so to CO to tx in OS in o to in |x CO O' OS os o

e> o o O CM to in n. Os to OS si- o in fss CM SO si- CO to sD CO CM in tx OS CM to si in in sO sO rx tx CO OS Os as OS OS O' Os Os o

r— CM to to sa- in in so SO SO rx rx r>- |x CO CO CO CO Os Os Os OS os OS as Os OS Os Os OS Os Os O' O' Os OS as as o

o in fv) Ov •i- 00 SO in CM to to sa- OS CO tn Cx to o in m si- to in in tx to CM rx o OS sD in si to 00 O tx to CM CO CM tx CM so o

in in (SJ to *- to OS CO CO in in to sa- r-. CM CM sa- to rx — SO in CM tx CO in SO si CO to SO o si |x Os CM SO o CM i- in n* 00 O' Os o

o o o o to in C' Os CM in CO m CM Os in CM so o K) SO os to in OS CM to si in in so SO |X tx |x tx 00 00 OS OS OS O' O' Os as as o

CM to to si- in in so so n- rx tx tx CO CO CO CO CO OS OS O' Os Os OS OS Os Os Os Os OS OS O' Os Os Os OS os OS as Os o

in o si- si- m in SO OS r- 00 o in CO sa- sa- o si- os o OS OS to to CM so to Os SO tx |x CM O to to as CO o Os tn o CO in tx o

<a- in to CM CM stf* o i- CM o •- SO n* 00 o l-x si- CO si- SO in — sa- in in CO »“ o so CM SO O to r>- o CM sa- SO |x o to vi sO «0 OO OS OS OS o

o o o (M in O in to CO in fx. in CO *- to in fN. CO V- CM si in in SO SO IX tx CO CO 00 00 00 OS OS Os Os Os Os as OS OS o

•— CM CM to si- sa- m so SO tx. rx r> CO CO CO CO CO CO OS Os Os OS Os Os Os OS OS Os OS Os os O' OS Os OS as OS OS OS as OS Os o

o in N as •o as n- OS o SO to CO OS CO OS •i- CO CO si- o CO tx CM O CM SO CM (M »a- to CM OS to 00 o CM Os OS tx sa- o m o

«a- si- m Os OS so n- — CM to *- — CO so O SO Os in si- SO CM tx OS OS rs. in CO tx in »- SO o si Os — to si so tx OS CM sa- m nO r*. CO as Os Os o

o o o to sO o si- Os Os si- CM o n- CM so o to m tx CO OS O r* CM to •i in SO so tx |X lx CO CO CO 00 00 CO OS os OS Os Os as os as Os o

f— CM CM to si- in so SO CO CO CO CO CO CO Os o» C7S OS OS Os Os Os OS Os OS Os Os OS Os Os Os OS OS os Os O' Os Os Os as Os o

in o CS) si- si- o o o CM to CM in CO in o CO si- Os OS Os SO so CM si- to o CO |x CO CM to si in si O CM OS SO tx to rx to to o CO to NO CO o

to »a- o NO t-^ CM tN. in in sO OS SO CO OS o CO CO CM o in CO tx m so •- CO si Os CM in tx Os •- to in SO tx OS o *- to sa- NO tx 00 CO os as OS o

o o o CM in o in V- fv to Os in in sa* CM 1-^ si- hx OS o CM to sa- in in SO SO tx n- tx 00 CO CO CO 00 00 OS O' OS os O' OS OS O' OS as OS o

iHm

•— CM CM to to stf* in so CO CO CO CO Os OS Os OS Os OS OS OS Os OS OS Os Os Os OS OS OS Os Os OS OS Os OS os o» Os Os OS O' as Os o

M

0) o in so CO CM in Os CO o OS sa- os si SO to si- o in OS in si- o tx OS CO to to o in SO to CM O OS si |X o o CM CO CM CO i so CO o

+>C

K> ro r- si- t'' OS si- si- to sO NO t'' CO SO OS m CM «i- in to OS in o sa- CO o si CO to in so rx 00 OS O CM to to in so hs. hs. CO CO OS as Os o

H O O •— O'JStOCX' 0«r^C\)00''-C\llO>d->d’mOvOvOh« t^t^OOOOOOOOCOOOOOCT'O'CT'CT'O'O' CTNCT'CTNO'tT'CT'CT'tT'CT'O •“CNllOIOsJ'irim CO OO V' CT* O** Ov C* ^ CT^ CT' O^O^CF' 0*» ^ C7^ CT' CT' CF* o

X

+>a

0) in o in CO 00 CO in rs. CM to o vi o o OS vi CO tx so CO CO |X CO CM K) ro CM Os OS m to o lO CM NO o lO r>. tx vi OS NO tn in OS o

•o CM to CM tx Os o in o *- to to NO o NO i- to in in CM 00 to tx o to in tx o to in r>. CO o o *- CM to to vi •i in in in NO n- rs. CO as os OS Os Os o

T3 o o CM rx m so NO n- NO si o in to |x o CM lO »a- in in NO SO tx tx CO CO CO CO CO OS OS OS OS OS OS OS ON OS OS OS Os as os OS as O' ON O' Os o

0) rH

•— CM to sa- in NO r- tx CO CO Os Os Os os OS OS OS OS OS Os Os OS OS OS OS Os OS OS Os OS OS OS Os Os o* OS OS OS Os O' Os Os as Os OS Os Os o

u

in o in OS in n* in Os tx to NO lO o CO CO CM NO NO O Os NO o CM o vi vi in in to Os NO to tx o to in tx Os CM o eo sa- CO o to sO 00 o

CM CM CO — CM o NO lO OS o OS CM vi vi »“ NO o in tx o CM to in NO tx CO Os o *- CM CM to vi vi m in in in in NO tx tx CO CO CO OS Os OS OS o

o o to >i CO vi tx in o in |X to vi in NO NO tx tx CO CO 00 00 CO 00 CO CO OS OS. OS Os OS OS Os OS OS OS OS OS OS OS Os ON OS OS Os Os OS OS o

CM sa- m NO n* CO CO CO Os OS OS Os OS OS OS OS as OS OS Os Os OS OS Os Os OS OS Os Os OS OS OS Os OS OS OS as OS OS Os Os OS ON Os Os OS Os o

in o NO sa- sa- NO NO CO sa- CO CM o OS tx tx CO tx NO CM so CO tx lO CO CM in o in Os in in tx OS m NO IX OS o CM NO CO in O in o to vO CO o

•— CM CM •- to to CO o NO os to to in CM hv OS CM vi SO tx CO OS o o — •- CM CM CM to <i sa- vi vi in in in in in NO NO NO NO tx CO CO OS Os OS OS o

o o O' o CM Os Os NO Os m sa- in SO CO CO 00 CO CO CO OS OS OS CTv OS OS OS OS OS Os OS Os OS Os ON OS OS OS o» Os ON OS as Os OS Os Os ON o

to in VO CO OO OS as os OS as OS os os OS OS OS OS as OS OS Os OS OS Os OS Os Os OS OS OS OS OS OS OS O' OS OS Os OS O' ON a> OS Os Os OS O' o

o in CM »i NO O tx NO o o tx vi vi so to in CM vi tx vi <r tx CO o CM in o to in tx vi NO IX o CM sa- in lx CM NO O' CM >i m n- OS o

•- — *a- tx 00 o NO CO NO •“ NO to eo CM sa- SO |x 00 Os o CM to to to i- vi i- in in in NO NO NO NO n. tx tx tx tx 00 CO CO ON OS Os ON OS o

o o in o 00 CM to sa- in NO NO rs. CO CO CO CO 00 CO Os OS OS OS OS Os OS OS OS OS OS OS OS OS ON Os OS OS Os OS OS OS ON Os Os Os Os OS O' Os o

CM NO 00 00 Os Os Os Os OS Os Os os Os Os Os OS Os OS Os O' Os OS OS OS OS OS Os Os o* OS OS OS Os OS Os OS ON as OS OS ON as 0^ OS Os Os Os Os OS o

in o in CM CM Os tx |x in vi o to NO in CM OO NO 00 CM vi 00 CM in lx Os CM to vi in tx CO OS o to vi in ON to so CO O sa- in tx OS o

o to *- to o nO CM NO CTs v- in tx Os O — CM CM to to to sa- sa- in in in in in NO NO so NO NO NO NO rs, t^ tx CO CO CO Os Os Os ON OS o

o o OS O' to in NO NO tx tx 00 CO CO 00 OS OS OS OS os O' Os OS OS OS OS Os OS as OS OS OS Os OS Os Os OS OS O' Os Os OS Os ON OS OS O' Os Os as Os o

SO 00 OS Os O' OS OS os OS On OS Os os O' OS OS OS OS Os OS OS OS OS OS Os Os Os Os OS Os OS OS OS OS OS OS OS O' OS ON Os as OS Os Os Os Os ON ON o

in in sa- CM OS CM O in m CM NO M in CO Os O' CM CM CM lO vi in vO tx CO Os o to to vi m in tx eo O' O (M to SO 00 OS o

o o CM CM NO CO CM to to sa- in in nO NO NO so so NO NO tx n. n. rs. n. n- h* CO 00 CO 00 CO CO CO CO CO CO OS OS OS Os Os ON o

o o nO 00 00 00 OS OS OS Os os OS os Os OS Os as OS OS OS OS OS OS OS OS OS OS OS OS Os OS Os OS OS Os Os OS OS as as ON ON OS Os OS os Os Os ON o

Os os Os Os o* as Os Os OS OS OS Os Os Os o* OS as OS Os O' Os OS Os OS OS Os OS Os OS OS OS Os Os as Os OS as OS as as Os as O' Os OS OS Os ON OS o

V in o in o in o in o in o o o o o o O o O o o o o o o o o o o o o o o o o o o o o o o o o o O O O o O o o

4) o •— •— CM CM to to sa- vi in NO hv CO Os o CM to vi in NO 00 Os o CM sa- NO eo o CM sa- NO CO o CM so 00 o in o in o in O in O in o

•H o o o o o o o o o o o O o O CM CM CM CM CM to to to to to •a* S3- sa- sa- sa- in in NO so n* CO 00 Os os o

U ta o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o O o —

to n

12
Cumulative

Radial

Energy-Deposition

Distribution

in

Aluminum.

Beam

Energy

=

20

MeV

in o cj (V to h«. w CO cs (m co o m to co e^ r^- o* oo oo o o o» o t>. m in to (sj to ir> c^njrocOvewh'OOLno

ro o o o (V >d‘ so to n> o o m so ^ C\J cMn co in in «cr in cv co in os m <n so to to eo o co o os os to os o o

>— r- OOOOOOO CM to sT in so 00 o to in o (M so* so CO •- r-r-^r-CMCMCMCMCMtO

s^os(MinoscN]incooioincoocMs3* cocMf^ostoinsoeocoo

to to sa- «{r in in in so so so so ns eo co co o* os os os os o

o in <Motoinmi^.-oo«o

Os-CMstf-COmCMsOCslt^ socMeoossa-os— ror^CMCTsfMsooom

coooo>cMr«ssa-to — socon-to-a-osin

os sr so o cs) so in CO os hs so o n. in ss- oo eo s— n- h> so rs. sao

os o Os in m n* sa* in 1^ to sa* r«. 00 CM in so sa- os m o ento o

S- •— ooooo CM CM to to sa’socoos-toinhs.osr-tosooo^sa’ r-r-.-.-.— .-(MCMCMCMIOtO

CO sS" CO to 00 •- Sir so CO o CM in CO •- to so oo •- cm sa- in cn o

to sa* sa* m in so so so so n>> r>- ns CO CO co co os os os os os os os o

in o

o s— to sa* sa- CO to CO to CM in in sa- to o ns sa- o« o to sa- sa- cn n^ sa- ts. so © .- in fs. s— hs so so to to sa* © CM sa- m sa* to to O' so CO n^ n- to ^ so sa' to 00 sS" in o to to so so in to to to co to ns sa- so •-

©

•— nsnscoorosa-oOsa-os.— mos.— sa- »-CMsoin — som»-ooo — •— ©©©© CM to sj- in © CM sa* © © CM in oo o to so os r— o* s-r-.-r-CMCMCMtOtOtOtOsa-s3- ©s^©tocO'-»^so©^sa"inns© —

sa'ininsosors-nsnshscocococo©©

to>a-mson-n>co©©o

CN GN

© m

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16
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in

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22
TABLE

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4) CQ oooooooooo OOOOOOOOOOOOOOO OOOOOOIDlDOOOOOCPO'

CMCMIDlDlDlDlDt^p'

O* r^rs-r^r^r^r^t^r^r^o

e

s

c

ID O

CP O oooooooooo <3"IOIDlD — COtOt^CPsOP'IDCOP^CO

p»eOIDIDlDtO'3-«— CPCPsOCO — veto IO'3'>3‘>3‘lD'D'OCPOtDor^PpCPCP

O' — — T-CO'O'OO — CO — CMCM — •— 0*0*9»C*^^0000

•— *-f— •— ooeooooo

c

•HC

o

•H

+>

O •— fHa

>M

4) O ID

+» O' O' C • • •H O O

J3

CL

oooooooooo IO»— lDIDIOO»eOCJvD>jMDeMOsa-lD

r-»-»-(SJCMtO«jr«iriDlDIDO '^0

O O sO ^ sO O Ov K> vO %o

vot^r'-^'>•^^ 40 oocooo€^o^c^aFC7^o« O ^ O' eo >ir ID CM vO •- O' D. O t>. O •— •— ID O CO CO «— »- O >a- •— O 'S- *d- •- O CM CM CM O' o> O O O CM CO *d- CO CO •— CO •— lO O •- O ID O

3- ID lO to

1- to CO CO ID lO CO CM CO D* CO O lO sO 'O t>- OOOrOrO'TlDvDO'CM h> O' tO CO O •— ID ID lO vO O ID CO CO — CM CM ID lO to lO '3- >3- Fif ID ID ID ID OI^»— »-'3-'00'0'tOCOCOCOCOCOCO

'O'OC'-COCOCOCOCOC^O'O'O'CT'O'O'

'O'O'O'OD-r'-oooo

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O'CNO'O'CT'O'O'OOO

r^r'Fr^r^D>r^r^ooo

CO CO CO CO co'co CO o o o

O'O'O'O^C^O'O'OOO

D 4) ID o o ID fp 00 CO r- CM 00 ro CM to CM IP CO '3- to so sO CO pp CM CM m to in to CM ID CM CM o to ID a* t— pp o O O O o o o o o

XI 73 00 a* o CM «3- in S£> o — SO to IP CO o to to in O as IP so *- SO CM as to to as CM to — to c^ CM — — CO CO 3- o o O o o o o o o

73 o o o o o o o CM CM to '3- SO o* CM ID o* CM p" o to o to sf 00 CM so to 00 CM CO to SO a* CM >3- so CO 00 CO CO OS o o O o o o o o o

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CM CM to to to '3- >3- '3- '3- ID ID so vD pp pp CO 00 CO o* <y* os as Os a* O* as o o o o o o o o o

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to o ID to to SD CM CM o SO a* CM o sO P*. >3- ip to '3- o 3- vO '3- o ID o* SO si- a* a* in c^ in to so 00 O to v3- o so so so o o o o

C

0

CO 00 o o CO o ID O* CO SO p' SO a* vO CN CO CO Cp CM Cts CM to CM O r- 00 o ID 00 VP o to 00 in *o to '3- 00 <Ts.<7s C^ as o o o o

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C-0000»-»-«— CMIO

IDCT'O*— ID»— »-r'»0'CM O'— IO'3-'OOCM'3-<y'M"

00000'-»-'-'— CM

tO'3‘Cs.C0O''3'lD'OO'C0 O'-tOlDCOOCMlDO'CM

^'OCOCM'3-'OCO«»'CM'OOCMr^'-lD

r-'-'— CM(\JrOtOtO'3-'3- CMe0 '3OlDe^'l0 ^^C^CMtOlD'0 ^'C0

lDlD'Dt''D't''C0C0C0O'O'O'CJ'<J'O'

C»' CM CO '3- CM <3- ID '3‘ I'v O «3" D"- CM O CO vD CM •- 'O •- CO 'D tO ID CM >3- CM

ID O O '3- O fS

to ID CO 3- O *3- '3- •- »- CO O sO fO" Cx CT' t^ '3' ID lO >3- vO ID tOlDt^CJ'CM'J-I^CNCMlDO'CMlDCO'—

«— '-.-'-CMCMCMtOtOtO'3- t^CMCOtOO'«3’COCM'DOCM«3-lD'Ot^

'3"IDID'J3vDt''D'COCOO'0'CJ'0'<»'t7'

to O to '3- '3‘ hv CM vO O CMO so O 'O O' *-^t'^IOOlD*3-OIDCOlDCJ'COIO'3-

to ID CO •— O •- to ID D- CO *3- O' v3* '3- CM tO C'- ID lO sO ID ID •— CM CM >3- O' o CO O' O O O O O ^ CM to >3‘ ID CO O CM '3- 'O CO O to ID CO T- 3' •- tO 0"3- O' ID O '3’ O r- sS" ID 40

t- •— CM CM CM CM to to '3-'3-IDlD'X>'DD-C0C0e000O'O'C7'CN

r- O' O 'O »- ID O' to ID '3’ •— CT' vD to ID 'O to C7' O 'O ID '3* CO CM to O O CM to ID t^ O' to D' CM CM >3- CM CM O O O CO O tO 'O tO 1^ CO O O O O O O O >— •- CM to •O- vO CO O CM to ID CO O CM ID 1^ O CM — — — •-CMCMCMCMtOtO

CM CO O ID to O' ID ^ SO ID •— pN. >3- O tO sO D* tO •- CO tO CM lO tO Pn. O O CM to 'O CO «— ID 00 to ID vO CMD •— O' CM so CO O to O 'O OOOOOO — CM to <3- ID O' O CM «3- t'- O' — '3- 'O Ct'

•-T-.-'-'-CMCMCMCMtO

COCOCOO'CM'3-0'r'^COO'0'3-P'.IDC»' OO'3-OOCOO'OOIOID'— »-t— "3-

(3>ID — P'CM'OCM'JO'— '3-|^OCM'3-ID tO>3-IDlD'0'Or~t>-COCOCOO'0'0'CJ'

O'O'CT'CP'CP'O'OOOO

O'O'O'O'CT'CP'OOOO

«3*CMCMCMOOOOOO OvOCOCOOOOOOO

CP'CJ'O'CJ'OOOOOO

CPCj'CT'cy'oooooo

oePcO'O'Dcoeoooo

IDIDCOCT'O'CPCT'OOO

COO'O'CT'O'O'O'OOO

O'O'O'O'O'O'O'OOO

OtOCMtOOOCOCOOOOO

O'^p^O'O'O'O'O'OO

D^CT'O'O'O'O'CT'O'OO

O' O' O' O'* CP CP CP CP t ' t ^

CM •- O ID CO so CO O O •— CO CM CP *- pv CO •— CO CO o o o o o o

CO to to O' CP »3‘3‘ O3' to so CO3" 3- vO >3- CO 'O CP O O O O O O

'DCM 00 tOC0 '3-O''3-C0 CMIDC0 '-rO'3

-

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P»C0CPCPOOOOOO CPO'CPCPOOOOOO

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CMCMCMCMtOtOtOtOtO"3-'3-'3-'3-'3-ID OOOOOOOOOO IDOIDOIDOlDOIDO

ID'O'OP'-P'COCOO'CP'O OOOOOOOOOOOOOOO ooooooooooooooo ooooooooo—

23
TABLE

3B.

Normalized

cumulative

radial

distribution

of

deposited

energy

in

copper.

The

numbers

in

s-o<4- cp to

(/) CO

O CU

•t“ CU o X •r— CU ET <0 s. cn ro 1 p 03 +J N c p CO

cu e: •r— 0) cu o cu u M x: &- r“

(— (U ro E a. •1" o •o

i- • cu ro

»+- QQ x: S- CM 1—

<u 4-> o CU ro c r~ • rO A +J »0 ro r~

CO H- '— ro • •r“ > CQ

T3

C cr S- CM

•r— LU cu 1— +J (U

ra CO >> c rTM

•1“ fO •r“ .a o 03

fO TJ

s- c CU P C Q. c

•o c •I— CU •r* o; »o cp T3

r— cu CU

C

(0 E •o o CU o <U >

lO cu CO •P •r“ E ro 03 O)

(U 03O

sz CO •r“ CO M ^—> o •1— cu CL C

4-> x:

V •' •r— c +J C c

(U CU zi: CO O) JC

<u > +J

s- fC CO cu a. JC CU c 3-

cu •1“ •p- cu

s- = p JZ

CO •r"

O z +-> cu lA rtJ C +J 3 > 03

•r" s- 3 CO o T3 cu or o

fO

p a. P”

S- c CU cu

•r“ xz T3 > -a •p a.

(U >> '—

r— P cu cn c

fO Q. s- s- o CU <o cu a c c z r— cu 3: -o rO cu > E

<U r— s- 03 o

-o 03 (U cu +J O +-> <D C/) c r—

.c z •r“ +J 03 c 3 c CU (U CT E JZ •P -a CU 3 t- Q. •r“ r— CU o CO O o c •1— • •r“ o x: n

CU sO cu Q. sz 03 JC

+J Q. CU •p V/

24
Cumulative

Radial

Energy-Deposition

Distribution

in

Copper,

Beam

Energy

=

60

MeV

tooo«oo*ioincoirno\or-o'COr-K>

N«or^fO*a'CMoeoe'0'cO'a''-t^'-

voiTi«»*^ioiris»-irtt'^o ,-eo*a'eo,-ioint^eoo

mo m o CM eo CO o o CM so m omcMor^sororooo>— O'omcsjm mo s— so Sir «!r h* CM so Sir CM CM toor^t^o*— oeot^tor>-t^r~mcr<

o o o o •- CM to m o CO o N so,-momosireocMoC7scMmeoo

s-CMCMrOt0^s!Ts3-mmmOsOOf>»

m CO Sir o CO O' o ^ CM lo ss- m m o r*> co co os os os os os o

tN. rN. CO CO CO CO CO os os Os os Os Os Os OS Os OS Os C7S OS C7S (7s C7< Os O

o m

mm

cO'i’sor-sooo'irs—

r^t'.^sosiTiO'crmos

s^-csim»-mtosoor^CMsoto.— oosT or^sd'CMtoiocoiotocT'ooomos^

o Os r- r«» o to s— CO CM m s3- o o cts m cm co »- »- m hv co o

t*^ so o C7S so os o t— o r*. si- <js sa- CO •- rs- to eo o to m so rs. co o

o o o o to sj- so 00 o CM sr om,-t'vCMi's,-sootot«s.cr*CMsa-ts.

CMCMiotosa-so-mmsosovDsotsst^r*

O to VO I-S os o CM to sa- s!T m m so so r«. co co ^ o cr> os os os o

CO CO CO CO CO OS Os c»s C7S C7S <»s Os CTS os Os Os OS C»s Os C^ 0> CJs C^ Os O

m o

sa- m

CM m sa- to rs. os rs. tom*-momtommsa-tor^oooso

CM CO o so sD o to CO so m Os m CO hs CO in rs> sa- so sa* o CM CM Os

CO so •- so to m so cTs sa- 1>- r» to m CO cm to to co os cm sa- so co o

os _ o so CO Os CO in o so m Os CM m r- so cts to m so t-v co o

oo oocMtomcoocMmco sa,-tss«^•c^sao»tot>otosocoo,-

CMtotosa-sa-mmsosot>-t'*t^r-coco sa-rvoof-CMtosa-mmsososoi's.h^

C0C0C0OsOsC7sOs(7s<7s<7sOs<TsOsOSOs

cocOCOOscys<ysosososo

Ct*

o m

«o ^

f^»-s— CMCTstOCTSsa-CTs^ OCOCMs— CMs-CTSs— mtOmsOOCMs—

to sa- to m OS o CM so OS soosotor-ocMc^comr-ssomoto

tosa-mo,-sa-cotors.,-oocMs-i'.

•d-otomsa-CMcosircotor^otosooo

oocMsa-tocos-como

to^^c>cMmsococoe^o

o o os-tomt^ sa- s^ CM cTs i-s. to cTs sa- CO •— scr r-s o* •— to m so — CM CM to to sa- m m so so r- r-^ t>- rs. CO CO CO CO coos-cMtosa-sa-mmsosoh-rs-f-^rv

00 0\ (fs CN

m o

to -a- ^-s-CMmcMsa-rs-cococo ms-mmmt--.sa-to.-so

os o CM s— CM m os m sa- <r s- o m o »-sos— o.— totosor-vtotosa-mom

so O CTS O CO CM O CM S- tN. CM to to to CO Os CTs sO CM t^ CM sO O tO m t^ CTs — CM C^CMsa-CMOs•-lf-OssOO moscMsa-mt^coco<r>o

o o o CM sa- r— m O m o a- ro CM CO m O' ro !>. o CM sa- m fs. 00 O' o CM ro vd* m m ND NO n. n. h. 00 00 00 00 O' O' O' O' O' O' O' o

CM CM ro ro sa- m m vO vO r-s I>- CO CO 00 CO CO CO CO O' Ch O' O' O' O' O' O' O' O' CTS O' O' O' O' O' O' O' O' O' O' O' O' o* O' o

o m CM CM sa- CM sa- o fs m CO sa- CO in r-s CO nD t-s sa- O' t-^ m NO n- o vD o to 00 CO vD CM CM CO vD o o CM t-s sa- O' ro CM VD sa- o

to to O' sa- o o CM O' •- o — VD m NO vD — 00 O' CM CM r-s o o O' r- a- CM t-s CM m 00 — vd* O' o CM *d" m vD 00 O »- ro ‘d’ vD !>. 00 O' o

o o o to t^ rs CM O' m NO vD sa- o m CO sa- vD O' o o CM to sa- in m VD VD VD r«. r-s CO 00 00 00 00 CO O' O' O' O' O' O' O' O' o

CM CM ro -a- sa- m VO 1-^ CO CO CO CO CO O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' o

’m o o o r-s CM o sa- m o vD CM ro CM o ro in o vD sa- sa- sa- O' m O' o CO CO CM O' O' CM n. 00 n. vd- ro o 1-^ CM sa- O' to o m o

CM to in 'O vD r*. o to o o CM VD o O' •- CM vd* o sa- m in ro O' m o m CO m *“ h' O' CM m hs O' •“ to vd- in vD 00 o ro sa- m vD CO O' O' o

o o m o» CO sO s3- •- n. CM r- vO sa- vD 00 O' o CM CM to sa- sa- sa- m VD vD VD t-s. t-s l-s. 00 CO CO 00 oo 00 CO O' O' O' O' o» O' O' O' O' o

r* CM ro <r m in VD n. n. 00 CO CO 00 CO O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' o* O' O' O' O' O' O' O' O' O' O' O' O' o* O' o

o m in m vO r- in ro CM nD to CO CM vO m m CO 00 ro r«. NO rO o CM m CO 'S’ vD t>. to I-. CO CO VD CM O' t" in NO CO O' r-v f-' «a- O' in o

CM CM CO -a- O o CM m m t-s m O O' ro m •- «a- m ro *- sa- O' to NO O' CM 'D vD O' CM ro m vD ND t-s 00 00 O' •- ro a- m NO t-. CO 00 O' o

o o CM o ro sa- sa- CM CO ro rs m O' o CM to ro sa- sa- m m m nD ND 1-^ t>. ts. !>. 00 CO CO CO 00 00 00 CO 00 CO O' O' O' O' O' O' O' O' O' o

CM rO sa- m sD vD fs CO CO CO CO O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' o

m o SO in CO O' m ns l>S vtf* sa- to 1-^ sa- NO sa- vD CM O' vD o to r- CO CM CO o CM to CM sa- CM O' CO m VD vd* to 00 00 CO o CM O' m sD vD to o

•- CM to CO o ro r-s vO vD O to •- a- •- CM O' m o sa- CO CM m tN. O' to VD O' •- ro sa- m NO NO rv CO O' o •- — — CM sa- in in vD t-s CO CO O' o

o o so V- o m sD sr O' to m t>. CTS CM to ro sa- m m m nD nD vD vD h. CO CO CO CO 00 00 CO CO oo O' O' O' O' O' O' O' O' O' O* O' O' O' o

CM >a- m \0 t-' CO CO CO CO O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' O' o

o m CM O' o VD *d‘ CM o n- CM CM O' t-s. o CM m O' ro ro ro sa- o O' <a- vD ro CM 1-^ sa- o O' CM CM to sa- sa- o n- NO ro O' CM o •— CO o o 'd- o vD to 'd- ro O' o CM •— m OO o CM to m vD CO o •— ro vd* m vD CO O' O' o •— CM ro sa- m vD vD t-^ CO CO O' o

o o t^osoomt^oso»-^

r-sa-rs-eocococoososcTs

to sa- sa- m m so so so t-^ tv. 1-^ t" t-s fv r-s co co co co co co co co co co co cts o> cts (ts Os 0> OS os OS Os Os Os Os 0^ Os Os OS 0^ Os Os Os Os Os O- Os Os Os 0s

Cts (^ ^ 0s 0 Os C3S 0s 0 ^

Os Os Os 0s Os OS Os os OS

m o

o

sONs~sOsOs0\0sOs~OO

cr«»-o»-mm.-t-vCMm

cO'-or-.oossa-socTst^mcO'Oom co o t-^ -a- cts .a- cm o n. cm r-. o to co

r- so CTS <r m t- CO CTS o CM to sa- -a- m so t-^ co co cts o — cm cm to to to t'-sa-CTs-a-tocomcTst'-o <rmmsoi>-r'-cooo<t'o

o o t>. to CTS — CM to sa- -a- m m so so so t-v r-> r- t-» co co co co co co

IT) CO 00 ^ CN CT^ 9^ O' O' O' O* O' O' O' O' O' O' O' O' O' O' O' O* eOcooocococococT'O'O'O'O'O'O'O'

O' O' O' O' O' CN CN O'

O' o

O' 0^ O' O' O' O' m

o o

ooc^cosa-oor-sa-eoco

sa-oto.-t'«»-sa-sot^co

sa- m m m o to t-. CM m 00 o CM ^ m CM-^cTs-a-CTsva-t->.osa-r'.omcT'tooo o CM to sa- m m m so so so r-^ r^ t-^ f-. co co co cts o o cm cm cm to to comor^tocTsmcTsmo

-a-msosor^r-^eococTso

LlJ

__i ca

«=C

o o s^msosot'-rsh^r^t'.

0^ O' COeOCOOOCOCOCOOOOOCOOOOOCOCOOO 00 00 C00060(^C^O'OSO'O'O'O'O'O'

O' O' O* O' O' O' O' O' O' O' O' O' O' O' O* O' O' O' O' ^ O' O' O' ^ O' 0^

O' O' O' O' O' O' Ch O' o

O' O' O' O' ^ O^ O' O' O' o

TJ w m o m o m o m o m o o o o o o o o o o o o o o o o

e D o CM CM to to s3- sa- m sc» t--. co <rs o .- cm to «a

so t-^ co cts o iH-HOOOOOOOOOO OOOOsr-.— r-r-CM a'o umoooooooooo o o o o o o o o o o o o o o

in M

ooooooooooooooo CMsa-socoocMsa-socoocMsa-socoo

CMCMCMCMtototototosa-sa-sa-sa-sa-m ooooooooooooooo

oooooooooo momomomomo

msosorsi>-coco(r>cTso

ooooooooo.-

25
T3

CU

=3C

Oo

CO

ro

00<

in o sf ON 40 SD to CM Nfl* CM o o nS- 40 40 to ON o C^ o 40 Cn. stf* O to NO Ntf- ON CM to in to in ^N N Ntf- in to to in CM in to NO o

•• CM o to CM Ntf* ON in to c^ o to NO o 40 to t>. o CM NO O in to CM NO OS o CM *“ ON Ntf- 40 lO to •* ts o ts o ON in On ON 40 m o

o o o o p- CM CM to N<f in h. o CM N» SO ON r— nS* NO c^ to NO 40 CM tSi 4^ in 40 CM in 40 o to m 40 o CM to fs On CM to in NO ts 40 ON o

CM CM CM CM to to to to s^ Sf in in in NO NO NO f. i>. IS, 40 40 40 40 40 OS On ON OS OS OS OS o

o in to 40 o t*. SO n. in On NO 40 c^ ON 40 to ON hN o ON ON CM so Ntf- h. Ntf- nO CM Ntf- n. S0 to to in ts CM 40 ON ON o NO IS o

o in 40 to ON m CM ON NO in CM •& in 40 in ON in o NO ON in Cni 40 in ON ON o ON in in 40 in o^ 0“ On *- 40 CM CM to in m *” 40 Ntf- o

> •* o o o O p_ p. CM to to NO* NO 40 o CM nS- SO ON stf* r«N ON p. nO sD 40 to h. NO ON to NO ON CM Ntf- h. 40 p. CM Ntf- Cs o CM Ntf- SO IS 40 40 OS o

4) £CM CM CM CM to to to to nS- Ntf- in in in NO NO NO r-F ts 40 40 40 40 On OS c^ ON On OS ON ON o

09 in o ON ON NO ON ON hN CM CM o in K N CM o NO in s»- CM in o N SO 40 CM CM CM o On in n. c^ ON CM Ntf- to On CM o ts O NO NO in o

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Di CM CM CM to to to rO Ntf- Ntf- in in NO NO NO n. hF n. ts 40 40 40 40 ON ON c^ OS On OS C^ ON o

4)e o in ON r*. 40 40 o On n4- ON Nif CM m in CM to o CM to ON to o to sf m Ntf- t^ in 40 fN, s^ r*v o NO CM O Ntf- in ts to ON m CM CM SO o to o

u o o o CM in o SO o 40 NO in n9- to SO 40 ON to O 40 & 9^ 40 St- 40 to o ON in r» I*. NO in 40 ON SO 40 Ntf- in <& Ntf- o r- 40 in CM SO o

e o o o CM to to Ntf- in ts ON St NO Ntf- Is ON CM in ts o CM ts CM NO ON to NO ON CM in ts OS to St NO On CM Ntf- SO Is ts 40 cs ON o

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0) CM CM CM CM to to to o- Ntf- Ntf- in in in NO SO NO ts IS ts ts 40 40 40 40 40 On ON On ON ON ON ON On o

in o to in NO IS m Ntf- in o CM Ntf- in NO NO in ts ts 40 40 NO Ntf- CM S0 in m SO 40 NO ON CM NO 40 ^n 40 40 to Ntf- to Ntf- ts to in o

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26
Cumulative

Radial

Energy-Deposition

Distribution

in

Copper*

Beam

Energy

=

^0

MeV

m o

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27
Cumulative

Radial

Energy-Deposition

Distribution

in

Copper,

Beam

Energy

=

MeV

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28
Cumulative

Radial

Energy-Deposition

Distribution

in

Copper#

Beam

Energy

=

20

MeV

CQ<

ID o lO so OS to SO ro h. o CO OS ro CO in o rs. Os or os s^ S^ r-s o o — s3-cosDrsrs.iOsoorosoo — — ros3- mosmtssromsoo — o

in vD o to sO as to eo ro OS in •• o O' r% eo os ^ r^ o tss to r«sroo's3- m'3-rosoeor'stor-soscor^rototo — osto — roostosoeooso o o o o o o o ' r* CO CO to in r» eo o ro sd" O' ro s3- os CO s3- r-s cor>srosoos3-eo — s3-r'sotomr'sO* comrN.eoeoose^o^oso

ro roro ro to to to s3-3-mmsoiOsor'>i-^r>.eoeoeoeoeo Os Os CN Os O' 0^ ^ kO

o in CO ro o in eo l-» o Os in CO in CO to »3- Os to CTs eo !>• eo e^ — sooseor'. — — rs-eosoeoostoeor^ soos — rs.roroeo — s3-o

in in o ro eo ro I-S CO 00 ro Os «3- OS m O -3- ro OS so <r os IS. s3- — tocoiss — rsio«3*tnomr^eosotor-^ — <3- — tOO'3-'OeOOso

o o o o o O «- »- ro CO to ^3• in eo o ro in eo o ro in eo — to so CT> ro rssrjso — mosrjmeoorjs3-soeoos roln^^.eo<^^oso^c^o

r- ro CO CO ro to to to to S3- <3-mmsososot^rs-r-scoeoeoeoeoeo Os Os Os O' Os Os Os a* o

in o «a- eo ro in ro S3- o CO «3- to eo «3- «3- eo '3- (Ss o r>. h. — r-coco r%t-^ososomioh.ro — coeohsto — — tssmtomor-eomo

>a- in o ro 00 in >a- ro •- to eo m ro — O O' o o as O' eo sO s3* CO toocoosoeoeotooscoto — hsrom K)s3-eo — eo>3-soeo<rso o o o o o o CO to >3* in hv O' CO m eo •- ro ts. o CO in eo — s3- r^ rors. — meo — »3-i^osro3-sor-^oso minsoooooo'O'O'O'o

«r- roro ro ro to to to tf- >3- <r- mmsososor-sr^rs-r^eoeoeoeocoos O' O' Os Os Os Os O' O

o in so in Ov r>. rv ro in C7S in to o in so o eo ro eo ro Os O 00 so ro m eoso — eoosr^eo — ^-•eosotO'3-sDm osoosocoro — coeoo

<r o ro so *- CO so ^3• in SO eo SO >o Os •- in O' rs o in O' n* SO m O' eoosmeoeosocos3-mmtoos3-soeo toosroroeorjmt-seoo

o o o o O CO ro »3- in SO ro in c^ ro in O' ro SO crs CO moo — to eocosooscomeooros3-soeooso — s3-mr'.eoeocjsCT'CscJso

•— ro roro ro ro to s3

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in o ro so >a- o n. Os »3- vO o o OS SO o o *— sO to sd* coo ro m o hs. r>stoototneoosto — t-s-tocoeomos sor'^s^'d*'d"Ossorooo

K) >d- o r- in t-^ •- SO ro »“ eo eo o «3- eo o o — eo •“ eo S3- o to cosos3-osto>3-s3-ror^ — meo — roro osOsos3-otOsoeocrso

o o o o ro to in so eo o to r>. CO so o in O' ro SO o ro m 00 — to t'sotomeooco3-mr^eoos — coio lnsO^^OOC^O'OsO'OsO

l-»a

CO ro to to to S3- s3- mm m m so sD sot's.r'srsvt'seoeoeoeoeoeoeoososo Os Os Os GN 0^ 0^ O'

M

4) o in ro ro h. in OS eo ro SO Os *3- r-v 00 eo eo OS Os >3- eo — eo — eo so m so- r'vsomomeocoostoosr^to«3- sooeorsis3-torammo

-p ro lO so lO 'Cf O eo eo — in to in OS <3- SO in — CO o sd- s3- — m^coeo t'sro»3-s3-rjt'-otomsoeoeoeoe0'0 toeoeosocsimr-^eocrso

•H o o o o CO sj- in n. o ro in o in sA so O >3- o to m hs os o tosoeoorommsot-s.eooso — corn msors.eoososos«3sa>o

JS

** CO ro ro ro v3- <3- in in in SO SO sD so so Csi r-^t^tsseoeoeoeoeoeoeoeoosososos O' Os Os Os Cr4 OS O' O' o

a

4) m o ro ro in sr ro ro n. o CO C'. in eo o m so ro os ^ tOsd-|^(3'OOs3-COs3-OOmO‘OOC7s o — cor^ — vomo — o

u CSl ro to — so in ro ro SO CO eo <3- o ro CO SO t-v 00 in S3- CO — eo CO so eo oeotor-so — oeorsmto — r-ss3-os rJroo•«rd«3-soeo«^o

T3 o o o CO r. o ro o >3- CO c^ in o in OS ro SO O' — ro oc so rs* 00 — cos3-mt-^eoosaso — rototos3-s3- vot-^eoeoosososososo

4) ro ro ro ro «3- in m in so SO so t--r-» r^ r>. 0000C0000000C000<^^CrsO'OsO'Os O' 0^ Os O' O' Os

u o in lO to eo so ro to to m s3- — ro — m <3s — s3- CO ro3-r^s3-ocoi-^roo>eoos3-mros3- toeoso — tomr^r^soo

ro ro sO SJ- to ro O — h- sd- in in in to C7S >3- ro so s3- os to <r 3- «3- CO O rotoro- oe03-omcoeotoosioeo OO»^O«r-sd's0^^00C^O

o o O ro in as S3- OS sd" o in o os SO ro SO o ro in 00 o •- coio3-m sor^eoosoo — rorjrorO'3-'3-mm f^t^C0a*OsOsOsOsOsC>

•** ro to to '3- >3- in SO sO t-^ i-s- r*. eo eo CO eo eo eo OOOOOQOOCrsOsOsOsOSOsOsOsOSCTsOs O' Os Os O' Os Os

in o \o SO in in eo ro in in ro Os SO to ro 1^ m o mro ro O' SO SO sd*ro<h^o^oso ommtoo3->3-moo

ro 1^ ro o m OS in Os os SO — os •3- r-^ in eoeo S3- O so — so —

roosso — so — 1>. — soo3-eoror-sO r^csJi>.rsimsor^eocr'o o o in CO o eo SD <3- t-^ ro o si- eo o CO to Sf in SO r-s r-s eo eo Os os oo — rocoiotos3-<3-mmmvosors n.eoeoos(Tsc7s(7SCT*CT*o

CO CO to <3- in in SO n. t-^ t-^ eo eo eoeo eo CO eoeo eoeo eoeo O' O' Os Os Os Os Os G^ Os Os O' a Os O' O' O' o

o in CO eo to OS o scr ro so in OS ro 00 OS to ro C7S 00 t-s so eo so coco — meosoeomtoomro — eo — osro otor^toosmmeorsio

•- r-. to — ro OS sD »3* ro sr ro Os Os t-s >3- o to o s3- o to so eo totssoss-eocomoscomeootomeo ron-oro'd'son^ooo'o

o o ro eo ro r^ o ro 'd" SO t-^ eo OS o o O 9^ 9^ CO CO CO CO totos3-srs3-mmmsososor^r-srssr^ cooochChO'O'O'O'O'O

ro sa- in so t'. eo eo eo 00 eo 00 eo OS OS OS OS O' OS Os Os Os Os Os Os O' O' ON Os a* ^N CN

in o eo sr so os vO O eo rO ro o 00 SO o o com S3- ro — osoeo — <3-r-s.r-s3-os»-^assorjt-s. — — oro osr-^or-^ — msorjmo o — SO m s:r o *- to SO sr — sO sT OS 'd- eo — s3- in Os O coco tom rs-o*- to>3-soeoo> — tos3-soeoorj meocsj^-sot^eoos^o

o o in <»• CO vO eo Os o CO CO ro to «3- s3- »3- sd- s3- m m mmmm mmsosososososor'sn-r^r's^N.ooeo ^^asasasososasosc>

ro in CO 00 eo 00 Os os os Os OS Os O' Os OS Os O' OS Os O' O' O' O' OS Os Os Os a* 0^ O' a* os Os ON ON CN O' O' Os ^N O' C>

in sD sO OS CO eo O 00 eo to si- CO ro s3- 00 — s3- t-v to r-s. h*.'d*ooocooocssoO't^osroco<^*— t^so*-ror0'd‘0'd-eoo

o o SO ro ro Os s3- r- O ro m eo O ro sd“ m vo 00 00 00 Os OS O' O O — cototoss-msoeooso- tos3-mi-^ oroin»^r^coo'0'0'o

o o to o CM ro ro ^3 sd- in in in m SO SO so SO sO so so vO SO SO so so t'.r^r'.|s^r^r^r'si^r'>eoeocoeoeoeo O' O' Os O' O' O' O' O' O' o

CO os as Os O' OS os os os Os Os OS O' O' OS os Os OS OS O' O' O' os O' 0> O' O' Os O' Os Os OS O' O' O' O' O' O' O' O' O' O* O' O' o

TJ M in O in o in o in o in o o o o o O o o O o o o o o o o ooooooooooooooo oooooooooo 4) 3 o ro CO lO to »3- <3- in so n- eo OS o — ro rO m so t-s. eo OS o cos3-soeooc03-soe0ocos3-soeoo moinoinomoino

1rH •H o o o o o o o o o o o o o o rorjrjrotototoiotos3-s3-s3-3-s3-m msasor-^r-'oocoo'ct'o u IS o o o o o o o o o o o o o o o o o o o o o o o o o OOOOOOOOOOOOOOO OOOOOOOOOt29
Cumulative

Radial

Energy-Deposition

Distribution

in

Copper#

Beam

Energy

=

20

MeV

If) o o OS Os in to to o 00 S3- _ eo O to NO 1-^ o to s3- OS NO s3- to os s3 CM *— CM to NO eo NO 00 in to Os in CM t-'. O

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o in S3- <M so oo CM 00 in Os NO o s3- Os eo to to OS eo t«^ NO o Os NO s3- eo to OS CM OS in eo eo NO os eo t-> NO .3 NO NO m f-^ CM o o — — o o <M S3- in NO 00 — in o <t- to to 3- to CM in CM OS f- OS o eo OS o CM eo in fs. NO o in s3 in NO s3 NO NO OS to t-* r-^ OS 00 CM o

o o o o o o o V CM to S3- in SO eo OS CM stf- NO 00 OS V- sjf eo NO o s3 eo to in n- OS lO in NO NO in eo to NO eo o

CM CM CM to to 3- s3 s3 in in m in in NO NO NO NO h. r-^ eo eo eo os O' Os Os o

If) o CM s3- m >3- CM n. S3- S3- NO to to OS s3- o in to eo o S3- 1-^ CM »—

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o •- o o o CM in SO SO s3- OS sO NO sO os CM o o OS n. S3- o o c^ so I-s. o to in CM in o CM eo eo to to t" to r-^ to to 3- •“ in t--' r>. in o

f- o o o o o o o CM to s3- in OS CM NO eo o to in o sa- eo CM NO o to NO eo o CM s3 l-s. eo OS s3 OS .3 t-v ON 3 NO eo o

CM CM CM CM to to to sa* 3- in in in in NO NO NO so NO NO C'» n- eo eo eo OS Os ON OS o

o m o h. to o SO s3- s3- 00 eo s3- in OS (7S S3- 3- in to SO f>. eo NO CM os NO NO o o in NO eo to Os in O 00 in eo eo 3- in in o

o o o o •- (M S3- eo o stf* lO — Os O S3- in to o O to CM in CM to f' NO CM s3 in NO in t-^ to »a- o NO — NO in eo to o o to o o o t-% o

o o o o o o o •• CM lO to in NO eo o CM S3- NO OS to in i-v in OS to eo CM NO OS CM NO eo CM to in eo CM NO Os r- to in rs. eo o

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OS o o o o to >3- OS to n- in to CM r-^ >3- sO t"-. C-V r-v OS s3- o in S3- S3- in CM Os in eo s3 t-^ CM o o to to CM eo in NO o os o •- o

o o o o o o o O r— f— CM to sS" in t*^ OS to NO 00 o CM in eo o s3- eo CM NO o s3 r-. o to NO eo o in o CM 3 NO NO eo OS o

r- CM CM CM CM to to to s3- s3 in in VO NO NO n. t-^ CO eo eo eo OS OS Os OS OS ON OS o

o in CM OS in CM S3- s3- to 00 NO eo CM OS OS o sa- r-> t-^ o to CM in to CM o CM C^ S3 eo OS !>. in to OS to to o NO to n- 00 to in NO CM o o

OS OS o o (M s3- in OS CM n. o m in sO eo CM o OS Os eo OS — 3- wr t-^ to OS O NO s3 NO OS to os o eo NO to t-. Os NO •- o Os eo eo eo o sa- o

i o o o o o o o o «- CM CM to >3- m 1^ os o to >3- NO eo to in t-^ o S3- o S3- OS s3 eo to NO o CM in eo o CM 3- eo to 3- in NO t-" OS os o

CM CM CM CM to to sa- S3- S3 m in NO NO fv 00 00 eo 00 Os Os Os ON OS OS OS ON o

in o to n. 00 in 00 s3- o s3- >3- os OS CM CM s3- to eo tN. s3- S3- m NO 1^ SO 3- in Os to OS NO eo in os in m sa- o to 3- CM OS in 00 tn o

00 Os o o •- to o OS to f. •- NO c>. O 00 to eo r- CM eo CM t-^ o in os NO CM to eo sa* !>. NO eo eo eo in in s3 CM eo in NO in — NO CM o

o o o o o o o O r- CM CM to in NO h- OS CM s3- NO oo to NO eo in Os s3- OS S3 eo to s3 o to m t-'. to m NO eo 00 Os os o

1 CM CM CM CM to to to s3- s3 in in NO NO 1-^ 1-^ eo eo eo 00 OS OS Os OS OS OS Os OS OS o

1 o in s3- o in 00 CM in s3- CM to Os to o to o eo to S3- eo in to to o OS in s3 OS in to f- s3 to to in CM Os in CM eo r- to 3 CM o

00 oo o — m in OS CM in CO 3- »- S3- eo CM OS OS nT to CM CM 3- o CM hv CM o to o NO CTs CM »- S3 t-» OS t>v o •- o m to os OS r-' 3 Os sa- o

o o o o o o o CM to >3- in fs. eo O CM s3- NO 00 o CM in r-' OS CM !>. r- NO f— in OS s3 ec s3 1^ o to in t-s. 9^ 3- in NO n* eo 00 os O' o

CM CM CM CM CM to to s3- in m m SO NO t-^ IN. eo eo eo eo OS O' OS O' Os ON ON OS OS o

If) o K) 00 ro os 00 OS 00 OS eo eo CM S3- NO r- eo lO to OS fs* NO to s3- o» to O CM to in to lO NO CM Os l>. .3 to eo to to CM to 00 o o

oo o o CM to in fN. O s3- OS to >3- eo to o S3- CM to NO o CM to stf- to — 9^ eo CM NO CM fs. OS CM sa- o s3 NO to to NO 3 OS to NO CO o

o o o o o o o o •- CM to s3- SO I-. OS o CM s3- NO CO 9-~ to in t«^ OS s3- o* s3- OS to eo CM NO OS CM NO os CM »a- NO 3- NO 1-^ eo 00 OS OS OS o

•• r- •— CM CM CM CM CM to to s3 sa" in in NO NO NO h- 1^ eo CO eo OS O' OS Os OS os OS OS Os o

o in (M in CM 00 to o Os h- NO Os h- in Os in NO C- 3- to in NO OS OS in NO t-v eo o CM to to to OS eo NO 00 CM o OS NO to Os eo m 3 o

f- o •- CM •3- so 00 CM NO o m so OS CM OS s3- •- eo rs. eo o Os o CM NO CM •- eo NO NO to NO o m OS •- CM — in in eo •- eo Os NO CM 3 sO eo o

o o o o o o O o r- r- CM CM to S3- NO h- OS CM s3- NO o to in fN. o in OS s3- Os S3 eo to o to o to in in NO n. eo OS Os OS OS o

CM CM CM CM to to to s3- 3- in in NO sO r-* eo CO eo eo Os OS Os O' Os Os Os Os Os o

in o (M o rv so O so in o* NO m CM eo o eo CM O in o in to in o o t-s. to SO NO in 3- NO o s3 eo o CM CM Os NO in o CM OS eo o

sD o — CM s3" O S3- 00 CM t-^ Os s3- OS NO to CM »- to in f'. o sa- fv OS o o Os in — CM to o NO — CM OS s3 00 Os to CM — CJ ON to in NO eo o

o o o o o O o »- r- CM CM to in SO eo o CM 3- NO 00 o CM in OS n. CM NO «— NO o s3 00 in 00 o to m CM in 00 eo OS os Os Os o

•— •— •— •— CM CM CM CM CM to to s3- S3- in in NO NO nO r-v n. eo eo eo eo Os Os Os OS ON ON os OS Os o

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o — toineo — sooifio — — sooso>3-ifi mfjoifi — t-'-eo — r^osof-^osooro so (SI crs t-* If) eo o* — so — Csl If) 00 oo so if) o if) eo — s3- — co *o <3-

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r-*-f-.-r-csjfslC\JCJroro co«ooo«or^*— lAc^^o^oc^^^tf-^ooo io^^triiri%DwdNorN.h^rN^oooooopO

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30
Cumulative

Radial

Energy-Deposition

Distribution

in

Copper,

Beam

Energy

=

10

MeV

in o

in VO tOO''3-mtVO'vOt>.00*— OOtV'3-t''OCVmO'*3"

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33
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34
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35
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36
Cumulative

Radial

Energy-Deposition

Distribution

in

Copper,

Beam

Energy

=

1

MeV

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37
Cumulative

Radial

Energy-Deposition

Distribution

in

Copper,

Beam

Energy

=

1

MeV

m o

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38
NBS»n4A (REV. 2 .80 ) }• Publication Date

October 1982

U.S. DEPT. OF COMM.

BIBLIOGRAPHIC DATA

SHEET (See Instructions)

1. PUBLICATION OR

REPORT NO.

NBSIR 82- 2679

2. Performlnt Orcan. Report No

4. TITLE AND SUBTITLE

Tables of Energy Deposition Distributions in Aluminum and Copper Irradiated

by Point-Monodi recti onal Electron Beams with Energies from 1 to 60 MeV

5. AUTHOR(S)

M. J. Berger and S. M. Seltzer

6. PERFORMING ORGANIZATION (If joint or other than NBS, see Instructions)

NATIONAL BUREAU OF STANDARDS

DEPARTMENT OF COMMERCE

WASHINGTON, D.C. 20234

7. Contract/Grant No.

8. Type of Report & Period Covered

9. SPONSORING ORGANIZATION NAME AND COMPLETE ADDRESS (Street. City. State. ZIP)

Office of Naval Research

Department of Navy

Washington, D.C. 20375

Space Science Data Center

and NASA Goddard Space Flight Center

Greenbelt, MD 20771

10. SUPPLEMENTARY NOTES

Q2] Document describes a computer program; SF-185, FIPS Software Summary, is attached.

11. ABSTRACT (A 200-word or less factual summary of most significant information. If document includes a significant

bibliography or literature survey, mention it here)

This report presents tables of energy deposition distributions in

aluminum and copper media irradiated by monoenergetic point-monodi recti onal

electron beams. The distributions are given as functions of the depth in

the medium and of the radial distance from the incident beam. Results are given for 7 beam energies between 1 MeV and 60 MeV. As shown earlier in

National Bureau of Standards Report NBSIR 82-2451 (1982), the tabulated ' results from monoenergetic, point-monodi recti onal sources can be used, by

superposition, to obtain spatial distributions of the energy imparted to

the medium by parallel beams with arbitrary spectrum and finite arbitrary

cross section.

12. KEY WORDS (Six to twelve entries; alphabetical order; capitalize only proper names; and separate key words by semicolons)

absorbed-dose distribution; aluminum; copper; electron; point-monodi recti onal

beam; superposition.

13. AVAILABILITY

|_)^ Unlimited

I I For Official Distribution. Do Not Release to NTIS

Order From Superintendent of Documents, U.S. Government Printing Office, Washington, D.C.

20402.

Order From National Technical Information Service (NTIS), Springfield, VA. 22161

14. NO. OF

PRINTED PAGES

38 39

15. Price

$7.50

USCOMM-DC 6043-P80
•»

(
1