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Title: An analytic expression approximating the Debye heat capacity function

Abstract

It is important to have analytic expressions for critical functions in the equations of state of materials. The Debye model has been very successful in approximating the thermal energy properties of a variety of solids, but is nonanalytic. Existing approximations suffer from various shortcomings, the most common being lack of applicability over some temperature range. A new analytic and integrable functional form that closely approximates the Debye model for the heat capacity is presented. This form, based on the mean of two Einstein heat capacity functions with a low temperature correction, exhibits deviations from the Debye model smaller than typical experimental scatter in heat capacity data.

Authors:
 [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP) (NA-10)
OSTI Identifier:
1558223
Alternate Identifier(s):
OSTI ID: 1542483
Report Number(s):
LA-UR-19-24212
Journal ID: ISSN 2158-3226
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
AIP Advances
Additional Journal Information:
Journal Volume: 9; Journal Issue: 7; Journal ID: ISSN 2158-3226
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Debye Model

Citation Formats

Anderson, William W. An analytic expression approximating the Debye heat capacity function. United States: N. p., 2019. Web. doi:10.1063/1.5110279.
Anderson, William W. An analytic expression approximating the Debye heat capacity function. United States. doi:10.1063/1.5110279.
Anderson, William W. Fri . "An analytic expression approximating the Debye heat capacity function". United States. doi:10.1063/1.5110279. https://www.osti.gov/servlets/purl/1558223.
@article{osti_1558223,
title = {An analytic expression approximating the Debye heat capacity function},
author = {Anderson, William W.},
abstractNote = {It is important to have analytic expressions for critical functions in the equations of state of materials. The Debye model has been very successful in approximating the thermal energy properties of a variety of solids, but is nonanalytic. Existing approximations suffer from various shortcomings, the most common being lack of applicability over some temperature range. A new analytic and integrable functional form that closely approximates the Debye model for the heat capacity is presented. This form, based on the mean of two Einstein heat capacity functions with a low temperature correction, exhibits deviations from the Debye model smaller than typical experimental scatter in heat capacity data.},
doi = {10.1063/1.5110279},
journal = {AIP Advances},
number = 7,
volume = 9,
place = {United States},
year = {2019},
month = {7}
}

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Works referenced in this record:

Rational Approximations for the Debye Functions
journal, February 1960

  • Thacher, Henry C.
  • The Journal of Chemical Physics, Vol. 32, Issue 2
  • DOI: 10.1063/1.1730772

Zur Theorie der spezifischen Wärmen
journal, January 1912


Approximation formulas in the Debye theory of the low-temperature specific heat of solids
journal, August 2007

  • Masyukov, N. A.; Dmitriev, A. V.
  • Bulletin of the Russian Academy of Sciences: Physics, Vol. 71, Issue 8
  • DOI: 10.3103/s1062873807080060

Die Plancksche Theorie der Strahlung und die Theorie der spezifischen Wärme
journal, January 1907