XLIV. The Simon melting equation

Abstract

The Simon melting equation p_m /a=(T_m /T ₀)^c-1 is derived assuming the validity of the Grüneisen equation of state and the Lindemann melting formula along the melting line. A relation between c and Grüneisen's γ is derived and discussed in view of available experimental data. Poor agreement is found in the case of the alkali metals, the agreement for argon being satisfactory. A consequence of possible geophysical interest arising from the theory is discussed. The detailed data available for solid helium are used to study the assumptions underlying the theory.