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Tables for the First Thirty-Four Elements

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National Bureau of Standards

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THE NATIONAL BUREAU OF STANDARDS

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maximum application of the physical and engineering sciences to the advancement of technology in industry and commerce. Its responsibilities include development and maintenance of the national stand- ards of measurement, and the provisions of means for making measurements consistent with those standards; determination of physical constants and properties of materials; development of methods

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UNITED STATES DEPARTMENT OF COMMERCE

Alexander B. Trowbridge, Secretary

NATIONAL BUREAU OF STANDARDS • A. V. Astin, Director

NBS TECHNICAL NOTE 270-3

ISSUED JANUARY 1968

Selected Values of Chemical Thermodynamic Properties

Tables for the First Thirty-Four Elements

in the Standard Order of Arrangement

D. D. Wagman, W. H. Evans, V. B. Parker,

I. Halow, S. M. Bailey, and R. H. Schumm

Institute for Basic Standards

National Bureau of Standards

Washington, D.C. 20234

|_ This Technical Note supersedes Technical Notes 270-1 and 270-2 J

NBS Technical Notes are designed to supplement the Bureau's regular publications program. They provide a means for making available scientific data that are of transient or limited interest. Technical Notes may be

listed or referred to in the open literature.

For sale by the Superintendent of Documents, U.S. Government Printing Office

Washington, D.C, 20402 - Price $1.25

PREFACE

Technical Note 270-3 is the third in a series of publications

containing material prepared as a revision of the tables of Series I

of National Bureau of Standards Circular 500, Selected Values of

Chemical Thermodynamic Properties, by F. D. Rossini, D. D.

Wagman, "W. H. Evans, S. Levine, and I. Jaffe. This Note extends

the revision to Tables 23, 33, and 34, covering the compounds

of the elements carbon, zinc, and cadmium in the Standard Order of

Arrangement. In addition this Note contains all of the Tables of

Technical Note 270-1 and 270-2, including corrections for a number

of minor errors. Thus this Note supersedes Technical Notes

270-1 and 270-2.

Donald D. Wagman, Chief

Thermochemistry Section.

Ill
CONTENTS

Preface III

Introduction 1

Table A Conversion Factors „ 7

Table 1 Oxygen 1 1 Table 2 Hydrogen 12

Table 3 Helium 15

Table 4 Neon 16

Table 5 Argon 17

Table 6 Krypton 18

Table 7 Xenon 19

Table 8 Radon 20

Table 9 Fluorine 21

Table 10 Chlorine 24

Table 11 Bromine 31

Table 12 Iodine 36

Table 13 Astatine 42

Table 14 Sulfur ___ 43

Table 15 Selenium 56

Table 16 Tellurium 58

Table 17 Polonium . 60

Table 18 Nitrogen 61

Table 19 Phosphorus 84

Table 20 Arsenic 95

Table 21 Antimony 99

Table 22 Bismuth 103

Table 23 Carbon 106

Table 24 Silicon 171

Table 25 Germanium 177

Table 26 Tin 181

Table 27 Lead 187

Table 28 Boron 196

Table 29 Aluminum 207

Table 30 Gallium 2 18

Table 31 Indium 223

Table 32 Thallium 227

Table 33 Zinc 233

Table 34 Cadmium 248

Appendix 262

Table B 263

Index 264

W
SELECTED VALUES OF CHEMICAL THERMODYNAMIC PROPERTIES

by

Donald D. Wagman, William H. Evans, Vivian B. Parker,

Iva Halow, Sylvia M„ Bailey, and Richard H. Schurnm

INTRODUCTION

Substances and Properties Included in the Tables

The tables contain values where known of the enthalpy and Gibbs

energy of formation, enthalpy, entropy and heat capacity at 298.15°K

(2 5°C), and the enthalpy of formation at 0°K, for all inorganic substances

and organic molecules containing not more than two carbon atoms. In

some instances such as metal-organic compounds, data are given for

substances in which each organic radical contains one or two carbon

atoms.

No values are given in these tables for metal alloys or other

solid solutions, fused salts, or for substances of undefined chemical

composition.

Physical States

The physical state of each substance is indicated in the column

headed "State" as crystalline solid (c), liquid (liq), glassy or amorphous

(amorp), or gaseous (g). Solutions in water are listed as aqueous (aq).

For non -aqueous systems the physical state is that normal for the

indicated solvent at 298.15°K.

Definition of Symbols

The symbols used in these tables are defined as follows: P = pressure; V = volume; T = absolute temperature; E = intrinsic or

internal energy; S = entropy; H = E + PV = enthalpy (heat content);

G = H - TS = Gibbs energy (formerly the free energy); Cp

= (dH/dT)p = heat capacity at constant pressure.
Conventions Regarding Pure Substances

The values of the thermodynamic properties of the pure substances

given in these tables are for the substances in their standard states

(indicated by the superscript c on the thermodynamic symbol). These

standard states are defined as follows:

For a pure solid or liquid, the standard state is the substance

in the condensed phase under a pressure of one atmosphere.

For a gas the standard state is the hypothetical ideal gas at unit

fugacity, in which state the enthalpy is that of the real gas at the same

temperature and at zero pressure.

The values of A Hf c and AGf° given in the tables represent the change

in the appropriate thermodynamic quantity when one gram -formula

weight of the substance in its standard state is formed, isothermally at

the indicated temperature, from the elements, each in its appropriate

standard reference state. The standard reference state at 25 °C for

each element except phosphorus has been chosen to be the standard

state that is thermodynamically stable at 25 °C and at one atmosphere

pressure. For phosphorus the standard reference state is the crystalline

white form; the more stable forms have not been well characterized

thermochemically. The same reference states have been maintained for

the elements at °K except for the liquid elements bromine and mercury,

for which the reference states have been chosen as the stable crystalline

forms. The standard reference states are indicated in the tables by the

fact that the values of A Hf° and A Gf ° are exactly zero.

The values of H^

q

„ -Hq represent the enthalpy difference for the

given substance between 298.15 C K and 0°K. If the indicated standard

state at 25 °C is the gas, the corresponding state at C K is the hypothetical ideal gas; if the state at 25 °C is solid or liquid, the corresponding state at C K is the thermodynamically "stable crystalline

solid, unless otherwise specifically indicated.

The values of S

c represent the virtual or "thermal" entropy of the

substance in the standard state at 298.15°K, omitting contributions from

nuclear spins. Isotope mixing effects, etc. , are also excluded except

in the case of the hydrogen-deuterium ( H- H) system. Where data have

been available only for a particular isotope, they have been corrected

when possible to the normal isotopic composition.

The values of the enthalpies of formation of gaseous ionic species

are computed on the convention that the value of &Hf ° for the electron

is zero. Conversions between and 2 Q 8.15°K are calculated using

the value of H^ng-HA = 1. 481 kcal per mole of electrons, and assuming

that the values of H^gg-Hg for the ionized and un-ionized molecules are

the same.
Conventions Regarding Solutions

Solutions in water are designated as aqueous (aq); other solvents

are designated by name or chemical formula. The concentration of the

solution is expressed in terms of the number of moles of solvent associated with one mole of the solute. If no concentration is indicated, the

solution is assumed to be "dilute".

The standard state for a solute in aqueous solution is taken as the

hypothetical ideal solution of unit molality (indicated as "std. state,

m = 1"). In this state the partial molal enthalpy and heat capacity of the

solute are the same as in the infinitely dilute real solution. For nonaqueous solutions the standard state of the solute is the hypothetical

ideal solution of unit mole fraction of solute ("std. state, X£ = 1").

The value of A Hf ° given in the tables for a solute in its standard

state is the apparent molal enthalpy of formation of the substance in

the infinitely dilute real solution. At this dilution the partial molal

enthalpy is equal to the apparent molal quantity. At concentrations

other than the standard state, the value of A Hf ° represents the apparent

enthalpy of the reaction of formation of the solution from the elements

comprising the solute, each in its standard reference state, and the

appropriate total number of moles of solvent. In this representation

the value of A Hf ° for the solvent is not required. The experimental value

for a heat of dilution is obtained directly as the difference between the

two values of A Hf ° at the corresponding concentrations.

The values of the thermodynamic properties tabulated for the

individual ions in aqueous solution are based on the usual convention

that the values of AHf°, AGf°, S° and C

p

° for H"

1" (aq, std. state, m = 1) are zero. The properties of a neutral electrolyte in aqueous solution

in the standard state are equal to the algebraic sum of these values for

the appropriate kinds and number of individual ions assumed to constitute

the molecule of the given electrolyte. When the undissociated species,

rather than the sum of the ions, is meant, the notation "undissociated"

or "un-ionized" is used. For an ionic species the properties tabulated

refer to that undissociated ion. By adopting the above convention with

respect to aqueous H , it follows that the thermodynamic relation A Gf ° = A Hf ° - T A Sf ° will not hold for an individual ionic species. However

no problem arises when neutral chemical systems are considered.
Unit of Energy and Fundamental Constants

All of the energy values given in these tables are expressed in terms

of the thermochemical calorie. This unit, defined as equal to 4.1840

joules, is generally accepted for the presentation of chemical thermodynamic data. Values reported in other units have been converted to

calories by means of the conversion factors for molecular energy given

in Table A.

The following values of the fundamental physical constants have

been used in these calculations:

R = gas constant = 8. 3143 + 0. 0012 J/deg mol =, 1.98717 + 0. 00029

cal/deg mol

F = Faraday constant = 96487.0 + 1. 6 coulombs/mol

= 23060.9 ±0.4 cal/volt equivalent

Z = Nhc = 11. 96258 + 0. 00107 J/cm"1 mol = 2. 85912 ± 0. 00026 cal/cm"1 r C£ = second radiation constant = hc/k = 1.43879 i 0.00015 cm deg

C C = 273.15°K

These constants are consistent with those given in the Table of General

Physical Constants, recommended by the National Academy of Sciences - National Research Council . The formula weights in the tables have

been calculated for the molecular formula given in the Formula and

Description column using the 1961 Table of Relative Atomic Weights based

on the atomic mass of i(i C = 12 exactly .

Internal Consistency of the Tables

All of the values given in these tables have been calculated from

the original articles, using consistent values for all subsidiary and

auxiliary quantities. The original data were corrected where possible

for differences in energy units, molecular weights, temperature scales,

etc. Thus we have sought to maintain a uniform scale of energies for

all the substances in the tables. In addition the tabulated values of the

properties of a substance satisfy all the known physical and thermodynamic

relationships among these properties. The quantities A Hf °, A Gf°, and

S° at 298.15°K satisfy the relation:

A Gf° = A Hf° - T A Sf°.

NBS Technical News Bulletin, October 1963.

>'A. E. Cameron and E. Wichers, J. Am. Chem. Soc. 84, 4192 (1962).
Furthermore the calculated value of any thermodynamic quantity for a reaction is independent of the path chosen for the evaluation.

In some cases newer data may have become available on certain

substances after the values were selected for these tables. Because

of the need to maintain the internal consistency of the tables, it is not

always possible to incorporate these newer data into the tables without

a detailed analysis of the effect of such a change. Unless great care is

used, relatively significant errors in calculated values of A H° or A G°

for specific reactions may result from the introduction of such data.

Uncertainties

The uncertainty in any value in the tables depends on the uncertainties of all the determinations in the total chain of reactions used to

establish the value.

A discussion of the uncertainties will be included in the final

publication of these tables in the National Standard Reference Data

System. However we have followed certain rules with respect to

significant figures to indicate these uncertainties. Values are tabulated

in general such that the overall uncertainty lies between 2 and 20 units

of the last figure. On the other hand, values are given so that the

experimental data from which they are derived may be recovered with

an accuracy equal to that of the original quantities. Thus the number

of significant figures for any one value in the tables need not represent

the absolute accuracy of that value. For solutions of varying composition

values are frequently tabulated to more figures to make possible the

recovery of enthalpies of solution and dilution. Similarly values of

A HfQ and ^Hf^on i c may be given to different numbers of significant

figures. In this instance the quantity with the lesser number of figures

is used to represent the uncertainty estimate. The larger number of

figures is used for the other quantity to retain the significance of the

temperature correction term.

Arrangement of the Tables

The compounds in the tables are entered according to the Standard

Order of Arrangement, (see Figure 1), by the principle of latest position.

In this scheme, a compound is listed under the element occurring latest

in the list; water of hydration is neglected. Within a given element

table will be found all of the compounds of that element with elements

occurring earlier in the order; the arrangement within a table follows

the same ordering. An exception occurs in the carbon tables (Table 23),

which is divided into subgroups consisting of all compounds with one

carbon atom, then all with two carbon atoms, etc.
STANDARD ORDER OF ARRANGEMENT

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SERIES I

Enthalpy of Formation at 0°K

Enthalpy of Formation at 298. 15°K

Gibbs Energy of Formation at 298. 15°K

Enthalpy at 298. 15°K

Entropy at 298. 15 °K

Heat Capacity at 298. 15 °K

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261
APPENDIX

The order in which the tables of Series I of National

Bureau of Standards Circular 500 are revised follows the

Standard Order of Arrangement. However it has been

necessary to evaluate the data on certain additional substances in order to complete the calculations for the

tables given in this part. The values obtained for some

of these compounds are given in the following Table B.

262
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263
Index of Contents

Chemical Element Table Page

Symbol Number

Al Aluminum 29 207

Ar Argon 5 17

As Arsenic 20 95

At Astatine 13 42

B Boron 28 196

Bi Bismuth 22 103

Br Bromine 11 31

C Carbon 23 106

Cd Cadmium 34 248

CI Chlorine 10 24

F Fluorine 9 21

Ga Gallium 30 2 18

Ge Germanium 25 177

H Hydrogen 2 12

He Helium 3 15

I Iodine 12 36

In Indium 31 223

Kr Krypton 6 18

N Nitrogen 1 8 61

Ne Neon 4 16

O Oxygen 1 1 1 P Phosphorus 19 84

Pb Lead 27 187

Po Polonium 17 60

Rn Radon 8 20

S Sulfur 14 43

Sb Antimony 21 99

Se Selenium 15 56

Si Silicon 24 171

Sn Tin 26 181

Te Tellurium 16 58

Tl Thallium 32 227

Xe Xenon 7 19

Zn Zinc 33 233

-

264

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