  In this work, the thermodynamic property of pseudoharmonic potential in the
presence of external magnetic and AB fields is investigated. We used effective
Boltzmann factor within the superstatistics formalism to obtain the
thermodynamic properties such as Helmholtz free energy (F), Internal energy
(U), entropy(S) and specific heat (C) of the system. In addition, we discuss
the result of the thermodynamic properties of some selected diatomic molecules
of N2, Cl2, I2 and CH using their experimental spectroscopic parameters and
that of the variation of the deformation parameter of q=0,0.3,0.7. We also
illustrated with some graphs for clarity of our results in both cases.
