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The Pair Approximation method is applied to studies of the magneticIsing-Heisenberg bilayer with simple cubic structure and spin $S=1/2$. Themethod allows to take into account quantum effects related to Heisenbergcouplings. In the paper the entropy and magnetic contribution to the specificheat are calculated. A special attention is paid to the case when the planesare magnetically non-equivalent and the interplanar coupling is relativelyweak. A double peak structure in the temperature dependence of the specificheat and the entropy change in the external field is found. When the system isstrongly anisotropic (the case of Ising couplings) the Exact Calculations forFinite Cluster are performed for comparison with the Pair Approximation method.

The influence of interplanar coupling on the entropy and specific heat of the bilayer ferromagnet