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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
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Record Link
<a href="https://www.compadre.org/portal/items/detail.cfm?ID=11432">Weinstock, Robert. "Heat capacity of an ideal free-electron gas: A rigorous derivation." Am. J. Phys. 37, no. 12, (June 26, 1969): 1273-1279.</a>
AIP Format
R. Weinstock, , Am. J. Phys. 37 (12), 1273 (1969), WWW Document, (https://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), <https://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 May 1, 2025, from https://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, https://doi.org/10.1119/1.1975299 (accessed 1 May 2025).
MLA Format
Weinstock, Robert. "Heat capacity of an ideal free-electron gas: A rigorous derivation." Am. J. Phys. 37.12 (1969): 1273-1279. 1 May 2025 <https://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 https://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 https://doi.org/10.1119/1.1975299 Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
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