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The pair cluster (dimer) is studied within the framework of the extendedHubbard model and the grand canonical ensemble. The elastic interatomicinteractions and thermal vibrational energy of the atoms are taken intoaccount. The total grand potential is constructed, from which the equation ofstate is derived. In equilibrium state, the deformation of cluster size, aswell as its derivatives, are studied as a function of the temperature and theexternal magnetic and electric fields. In particular, the thermal expansion,magnetostriction and electrostriction effects are examined for arbitrarytemperature, in a wide range of Hamiltonian parameters.

Hubbard pair cluster with elastic interactions. Studies of thermal expansion, magnetostriction and electrostriction