Thermodynamic properties of semiconductor
compounds have been studied based on Debye-Waller factors
(DWFs) described by the mean square displacement
(MSD) which has close relation with the mean square relative
displacement (MSRD). Their analytical expressions
have been derived based on the statistical moment method
(SMM) and the empirical many-body Stillinger-Weber potentials.
Numerical results for the MSDs of GaAs, GaP, InP,
InSb, which have zinc-blende structure, are found to be
in reasonable agreement with experiment and other theories.
This paper shows that an elements value for MSD is
dependent on the binary semiconductor compound within
which it resides.