Digitized by the Internet Archive in 2019 with funding from Kahle/Austin Foundation https://archive.org/details/equilibriumstatiOOOOandr EQUILIBRIUM STATISTICAL MECHANICS V EQUILIBRIUM STATISTICAL MECHANICS Second Edition FRANK C. ANDREWS Hi Merrill College, University of California, Santa Cruz A WILEY-INTERSCIENCE PUBLICATION John Wiley & Sons NEW YORK • LONDON • SYDNEY • TORONTO QCy , 1 S3 f !776~ Copyright © 1963, 1975, by John Wiley & Sons, Inc. All rights reserved. Published simultaneously in Canada. No part of this book may be reproduced by any means, nor transmitted, nor translated into a machine language with¬ out the written permission of the publisher. Library of Congress Cataloging in Publication Data Andrews, Frank C Equilibrium statistical mechanics. “A Wiley-Interscience publication.” Companion vol. to the author’s Thermodynamics: principles and applications. Bibliography: p. 000 1. Statistical mechanics. I. Title. QC174.8.A534 1974 530.T32 74-17197 ISBN 0-471-03123-2 Printed in the United States of America •10 98765432 ERRATA Page Line Should read 15 3 .1+ .8 + 2.7 15 4 = 12.9 78 Prob. 8-2 Assume that some quantum state for the system has zero energy. 98 Eq, 10-18 change 2©trans to 4©trans 102 3rd from bottom -2.311 107 Table 11-1 change all I’s to x 10-39 108 Eq. 11-10 <7rot= T/aBIol = •'' 120 ^-vibration insert - before © in denominator 130 8th from bottom equals — ^Tln K 132 Eq. 12-16 P2 = 139 6 of — D0 from 141 Prob. 12-16 singly degenerate. Cl atoms are doubly de¬ generate. 161 1 of Prob. 14-3 At what high temperature... 161 4 of Prob. 14-3 contribution is less than the 161 Prob. 14-3 Also prove the low-temperature crossing of these heat capacities to be at 0.952 K. 161 Prob. 14-5 density 6 g/ml 193 Prob. 17-1 Normalize with all particles in the system. Note: Sometimes this average is calculated using only the particles moving from left to right, which gives twice this result. (Prove that.) 241 2-4 insert ir after 4: v = <fikT/Trm)x^2 243 9-1, line 1 states: T— H only; ... 243 add 9-7 lnAM = AMn/V-N. 244 11-4 the ratio is 0.34. 245 11-25 1 :2.71 : 3.69; 1 : 10~6: 10~12; 1884 K. 245 12-4, line 1 a;2 (mass of electron X e0/...) 245 12-4, line 3 z = 7.81 —3.45 logz 248 17-11 ...erf^/T 248 18-3 L = 4.7x 10~6cm; L/r = 215. 250 19-7 change last — in numerator to + 251 20-3 Note: viscosity values not necessarily close to vinal coefficient values. Frank C. Andrews, Equilibrium Statistical Mechanics, 2nd ed. 471-03123-2