Journal Article Detail Page

American Journal of Physics
written by Robert Weinstock
It is shown that the usual derivation of the heat capacity of an ideal free-electron gas is made invalid by the use of a divergent series. A plausible argument is offered to indicate that these series are asymptotic expansions which provide good approximations through their first few terms. The usual procedure is modified by the replacement of an infinite series by its first two terms plus a remainder whose bounds are estimated as being negligible to the accuracy required; a rigorous derivation of the well-known temperature dependence of the electronic heat capacity of an ideal Fermi gas results.
American Journal of Physics: Volume 37, Issue 12, Pages 1273-1279
Subjects ADS Supplements Resource Types
Thermo & Stat Mech
- Models
= Fermi Gas
- Thermal Properties of Matter
= Low Temperatures
- Reference Material
= Article
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Available by subscription
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© 1969 American Journal of Physics
Additional information is available.
DOI:
10.1119/1.1975299
ISBN Number:
0002-9505
Keywords:
Fermi energy, Fermi temperature, ideal Fermi gas, series expansion
Record Cloner:
Metadata instance created August 30, 2011 by Harvey Gould
Record Updated:
August 30, 2011 by Harvey Gould
Last Update
when Cataloged:
June 26, 1969
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Record Link
AIP Format
R. Weinstock, Am. J. Phys. 37 (12), 1273 (1969), WWW Document, (http://dx.doi.org/10.1119/1.1975299).
AJP/PRST-PER
R. Weinstock, Heat capacity of an ideal free-electron gas: A rigorous derivation, Am. J. Phys. 37 (12), 1273 (1969), <http://dx.doi.org/10.1119/1.1975299>.
APA Format
Weinstock, R. (1969, June 26). Heat capacity of an ideal free-electron gas: A rigorous derivation. Am. J. Phys., 37(12), 1273-1279. Retrieved December 19, 2014, from http://dx.doi.org/10.1119/1.1975299
Chicago Format
Weinstock, Robert. "Heat capacity of an ideal free-electron gas: A rigorous derivation." Am. J. Phys. 37, no. 12, (June 26, 1969): 1273-1279, http://dx.doi.org/10.1119/1.1975299 (accessed 19 December 2014).
MLA Format
Weinstock, Robert. "Heat capacity of an ideal free-electron gas: A rigorous derivation." Am. J. Phys. 37.12 (1969): 1273-1279. 19 Dec. 2014 <http://dx.doi.org/10.1119/1.1975299>.
BibTeX Export Format
@article{ Author = "Robert Weinstock", Title = {Heat capacity of an ideal free-electron gas: A rigorous derivation}, Journal = {Am. J. Phys.}, Volume = {37}, Number = {12}, Pages = {1273-1279}, Month = {June}, Year = {1969} }
Refer Export Format

%A Robert Weinstock
%T Heat capacity of an ideal free-electron gas: A rigorous derivation
%J Am. J. Phys.
%V 37
%N 12
%D June 26, 1969
%P 1273-1279
%U http://dx.doi.org/10.1119/1.1975299
%O application/pdf

EndNote Export Format

%0 Journal Article
%A Weinstock, Robert
%D June 26, 1969
%T Heat capacity of an ideal free-electron gas: A rigorous derivation
%J Am. J. Phys.
%V 37
%N 12
%P 1273-1279
%8 June 26, 1969
%@ 0002-9505
%U http://dx.doi.org/10.1119/1.1975299


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