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Temperature dependence of the elastic constants for solids of cubic symmetry.Application to Germanium and Silicon
Author(s) -
Toupance N.
Publication year - 1987
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.2221400206
Subject(s) - germanium , adiabatic process , silicon , materials science , thermodynamics , symmetry (geometry) , adiabatic theorem , constant (computer programming) , order (exchange) , derivative (finance) , condensed matter physics , physics , mathematics , geometry , metallurgy , finance , computer science , economics , financial economics , programming language
The extension of the finite strain expansion of the Mie‐Grüneisen equation (taking into account the elastic constants in the reference configuration up to the fourth‐order) is used to derive the temperature dependence of the volumetric compression and of the second‐order elastic adiabatic moduli of cubic solids. Numerical results are given for germanium and silicon and compared to experimental data. Finally, the second pressure derivative of these constants is estimated at zero pressure and 300 K.