Abstract:
It is shown that the widely used method for determining Grüneisen parameter $\gamma$ of a solid from experimental data on thermal expansion coefficient $\alpha_p$, elastic modulus $B_T$, volume $V$, and heat capacity $C$, $\gamma=\alpha_p B_T V/C$, is valid only when the Debye temperature $\Theta$ does not depend on temperature $T$. It is shown that if function $\Theta$ exhibits a temperature dependence, this method becomes not quite correct (especially for quantum crystals). A correct expression is derived for calculating the Grüneisen parameter and the upper and lower bounds for function $\gamma(T)$ are determined.
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