We consider the motion of a spinning relativistic particle in external electromagnetic and gravitational fields, to first order in the external field, but to an arbitrary order in spin. The correct account for the spin influence on the particle trajectory is obtained with the noncovariant description of spin. Concrete calculations are performed up to second order in spin included. A simple derivation is presented for the gravitational spin-orbit and spin-spin interactions of a relativistic particle. We discuss the gravimagnetic moment (GM), a specific spin effect in general relativity. It is demonstrated that for the Kerr black hole the gravimagnetic ratio, i.e., the coefficient at the GM, equals to unity (as well as for the charged Kerr hole the gyromagnetic ratio equals to two). The equations of motion obtained for relativistic spinning particle in external gravitational field differ essentially from the Papapetrou equations.

The motion of spinning relativistic particles in external electromagnetic and gravitational fields is considered. A simple derivation of the spin interaction with gravitational field is presented. The self-consistent description of the spin corrections to the equations of motion is built with the noncovariant description of spin and with the usual, "naïve" definition of the coordinate of a relativistic particle.

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An investigation is made of the evaporation heat and the equilibrium vapor pressure over the crystal containing vacancies. It is shown that in the case of a monoatomic crystal the vtacancies reduce both of these characteristics; the same effect takes place in a dilute intersitial alloy. In the case of dilute substitutional alloys the vacancies reduce both the vapour pressure and the evaporation heat of the host component and increase the impurity vapour pressure. It is found that the coefficient of the isotope separation changes considerably due to the vacancies.

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