Temperature Dependence of the Elastic Constants
Abstract
The following two equations are proposed for the temperature dependence of the elastic stiffness constants: c_{ij}=c^{0}_{ij}s(e^{tT}1) and c_{ij}=abT^{2}(T+c), where c^{0}_{ij}, s, t, a, b, and c are constants. The applicability of these two equations and that of Wachtman's equation is examined for 57 elastic constants of 22 substances. The first equation has a theoretical justification and gives the best overall results. Neither of the three equations give the theoretically expected T^{4} dependence at low temperatures, and therefore they are not expected to give very accurate results at very low temperatures (<~Θ_{D}50). A new melting criterion is also examined.
 Publication:

Physical Review B
 Pub Date:
 November 1970
 DOI:
 10.1103/PhysRevB.2.3952
 Bibcode:
 1970PhRvB...2.3952V