Gruneisen constant

The expansion coefficient of a solid can be estimated with the aid of an approximate thermodynamic equation of state for solids which equates the thermal expansion coefficient (5 with the quantity yC p/B where y is the Gruneisen dimensionless ratio, C is the specific heat of the solid, p is the density of the material, and B is the bulk modulus. For fee metals the average value of the Gruneisen constant is near 2.3. However, there is a tendency for this constant to increase with atomic number. 

In this section, we compare BTE and MD predictions of bulk thermal conductivity of silicon to the available experimental data [74] over a temperature range of 500K to lOOOK (Fig. 4). The BTE predictions are obtained from the full phonon dispersion model described in section 2.3. This full phonon dispersion model involves an adjustable parameter, the Gruneisen constant (y), which is set... 

Table 6.4 Gruneisen Constants for Some Covalent Solids at Room Temperature ...

There are some physical generalities concerning thermal expansion coefficients. One empirical correlation is that is constant for a wide range of cubic and close-packed compounds, where T is the melting point and is the volume coefficient of thermal expansion. The Griineisen equation relates ol to the compressibility Kq, the heat capacity c , and the molar volume V here y is the Gruneisen constant, a proportionality constant of first order ... 

If we substitute this back into equation [1.170], we find an electron parameter of the Gruneisen constant y , (T,V) = 2/3... 

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