In this work we consider some circumstances of the growth process of an n-component solid phase from an n-component liquid phase and provide some general relationships, which must be observed in this growth process. In more detail we treat the two extreme cases: growth when (aCb/at = 0) -the stationary case; growth when (aCk/ax = 0) -no concentration gradients in the liquid phase. In our opinion these theoretical considerations will simplify the investigations of multicomponent systems.

In the present work some general relationships are given for the process of liquid phase epitaxy, and here are considered the most widely used methods: 1) Equilibrium cooling technique; 2)Step cooling technique; 3) Supercooling technique.

Different possible mechanisms of crystal growth for the used in the practice LPE techniques are considered in the present paper. The time dependences of the super saturation for the cases of normal growth mechanism and screw dislocations growth mechanism are presented. The values of the stationary super saturation, of the stationary growth rate and of the time constant for the transient growth process are obtained. The effect of the initial super saturation on the growth rate is considered. Relation between the stationary value of the super saturation, the time constant of the transient process, the cooling rate and the liquidus surface slope has been ascertained.

The subject of the present paper is the formation of multiatomic particles such as clusters and nanoparticles. The probability for collision of two particles in an amorphous medium at equilibrium is derived and the particle frequency of collision per unit volume per unit time has been evaluated. Within the frame of given assumptions and approximations, the equilibrium density of two- and three-atomic particles in the medium has been assessed. This approach may be significant in the investigation of the process of new phase nuclei formation. The existence of a limit value of the particle size for coalescence is supposed by this approach.