The volume dependence of the Grueneisen constant related to the elastic moduli

Abstract

Expressions relating the volume derivative of the Grueneisen constant to the second, third and fourth order elastic moduli have been developed The work is based on the Debye and anisotropic continuum models, and the high temperature limit is assumed The above expressions will be applied to the alkali and silver halides, where the volume derivative of the Grueneisen constant evaluated from the elastic moduli, will be compared with the analogous quantities deduced from various other schemes. A reasonable agreement between the present values of the volume derivative of the Grueneisen constants and those found by various other procedures is seen.

Key Words:

• Grueneisen constant
• elastic constants
• higher order elasticity.