  We solve the Schrodinger equation to obtain the energy eigenvalues expression
of the screened Kratzer potential (SKP) model. With the energy eigenvalues, we
evaluated for the partition function within the framework of superstatistics
and extended to study the thermodynamic function for some selected diatomic
molecules including HCl, LiH and H2. The modified Dirac delta and uniform
distribution comparatively in each case in the absence and the presence of the
deformation parameter were considered.
