The expression for the Grüneisen constant of a perfect crystal with pair interactions in d -dimensional space has the form: Γ Γ 0 = − − 1 2 d Π Π ‴ ( a ) a 2 + ( d − − 1 ) [ Π Π ″ ( a ) a − − Π Π ′ ( a ) ] Π Π ″ ( a ) a + ( d − − 1 ) Π Π ′ ( a ) , where Π Π is the interatomic potential, a is the equilibrium distance, d is the space dimensionality. Relations between the Grüneisen constant and parameters of Lennard-Jones, Morse, and Mie potentials are presented in the table below.