Every complete lattice theory of solid state consists of two basic elements, namely the description of the interatomic forces and the theory connecting them with the dynamical and thermodynamical properties of the crystal. In the present paper we have discussed the application of the self- consistent phonon theory formulated independently by various authors with the help of the modern techniques of many-body method to the quantum crystals. The results of theoretical investigations of the high-temperature and pressure properties of solid b.c.c. 3He, h.c.p. 4He and f.c.c. 20Ne in terms of the interatomic potential energy curves proposed by Beck, Murrel-Shaw, Morse, Buckingham and Lennard-Jones are given and compared with available experimental data. Extensive comparison of theoretical and experimental results allows us to discuss the suitability the above self-consistent potential energy functions as real interatomic potential modes in solid helium and neon.
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