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Grüneisen parameter : ウィキペディア英語版
Grüneisen parameter
The Grüneisen parameter, γ, named after Eduard Grüneisen, describes the effect that changing the volume of a crystal lattice has on its vibrational properties, and, as a consequence, the effect that changing temperature has on the size or dynamics of the lattice. The term is usually reserved to describe the single thermodynamic property γ, which is a weighted average of the many separate parameters γi entering the original Grüneisen's formulation in terms of the phonon nonlinearities.
== Thermodynamic definitions ==
Because of the equivalences between many properties and derivatives within thermodynamics (e.g. see Maxwell Relations), there are many formulations of the Grüneisen parameter which are equally valid, leading to numerous distinct yet correct interpretations of its meaning.
Some formulations for the Grüneisen parameter include:
\gamma = V \left(\frac\right)_V = \frac = \frac = \frac
where V is volume, C_P and C_V are the principal (i.e. per-mass) heat capacities at constant pressure and volume, E is energy, α is the volume thermal expansion coefficient, K_S and K_T are the adiabatic and isothermal bulk moduli, v_s is the speed of sound in the medium, and ρ is density. The Grüneisen parameter is dimensionless.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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