Abstract
The exact solution of the problem on electron phase transitions in the deformed lattice in a two-level model of rare-earth compounds electron structure is obtained taking into account the local character of both Coulomb interaction and hybridization of s- and ƒ-electrons. Thermodynamical characteristics (energy, heat capacity, equation of state) are calculated and the behaviour of valency under pressure is analyzed. Phase transitions are shown continuous everywhere (of the second order) at weak electron-lattice interaction. A comparison with other approximate solutions is carried out. It is shown that going out beyond mean field boundaries as well as the account of excitonic effects in Coulomb interactions allows one to get results close to the exact one.
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