A crystal containing a Co(II) ion in the octahedral cubic surrounding as a structural element is examined. The total Hamiltonian of the crystal includes the crystal field acting on the Co(II) ion, the spin-orbital interaction within the high spin 4T1 –state of this ion, the interaction of the Co ions with spontaneous lattice strains arising on the 2E4T1 transition, the electron-vibrational interaction and free molecular vibrations. The mechanism responsible for the observed spin conversion is assumed to be the interaction of the Co ions with two spontaneous lattice strains, namely, with the fully symmetric (A1) and tetragonal E one. The interaction with E symmetry strain is strong only for the low spin 2E –state arising from the d7 electronic configuration with a single d-electron in the e-orbital, while for the high spin state 4T1 it can be neglected. Basing on the experimental X-ray data, in the model only the u-component of the E type deformation is accounted for. In fact in the model there are examined two types of A1 and E vibrations, namely, the molecular ones and those of the intermolecular type. The molecular vibrations directly coupled to the electronic shells of the spin crossover ions form the energy spectra of these ions, while the intermolecular vibrations transmit the local strains throughout the crystal and are responsible for cooperativity. The problem of interacting Co ions is solved in the mean-field approximation. The main characteristic parameters of the model are calculated microscopically. An explanation of the experimental magnetic behavior of the [Co(pyterpy)2](PF6)2 compound is given. The different role of the cooperative interactions, namely, the electron-deformational one and that arising from the Jahn-Teller interaction in the spin transformation is demonstrated.