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Isobaric Specific Heat and Thermal Expansion of Solids in the Debye Approximation
Author(s) -
Askerov B. M.,
Cankurtaran M.
Publication year - 1994
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221850204
Subject(s) - isobaric process , isochoric process , thermal expansion , thermodynamics , debye model , heat capacity , grüneisen parameter , atmospheric temperature range , debye , chemistry , specific heat , materials science , condensed matter physics , physics
A theoretical study in the Debye approximation is made of the isobaric specific heat (C P ) and thermal expansion of solids with a Bravais lattice. Analytical expressions are obtained for the variations of C P and the linear thermal expansion coefficient (x p ) with temperature. The temperature dependence of C P is determined by two characteristic parameters of the solid: the Debye temperature θand the Gruneisen parameter yc. It is shown that the difference C P C v between the calculated isobaric and isochoric specific heat capacities is very small at low temperatures (T≪θ) and increases markedly at higher temperatures. In the range T≫θ, C P is almost independent of temperature and is.determined solely by γ G . This provides a technique to estimate the Gruneisen parameter γ G from the measurements of isobaric specific heat at high temperatures. The results obtained for α P , in the low‐ and high‐temperature limits, are in agreement with those in literature.