Phase Equilibria in Two-Component Systems

Extent of oxide compounds dissociation and nucleation kinetics in melts of the Bi2O3–GeO2 systems: experimental study and theoretical analysis

“…In the general case, the liquidus temperature T L of A m B n compound in a binary system can be described in a model of sub-regular solution by the formula [5] …”

“…According to the equation given in Ref. [5], an extent of dissociation in melting point a 0 for compound A m B n can be determined by…”

“…This radius is proportional to the inverse second derivative of liquidus temperature on x-content (c 2 ): r L max ¼ 1 2 c 2 : The value c 2 is calculated with the standard algorithm for approximation of liquidus lines by the least-squares method by series of x: LðxÞ ¼ P k i¼0 c i ðx À x 0 Þ i ; where x 0 ¼ n=ðm þ nÞ is compound composition and values of k are changed in intervals of 2-4 for accuracy less than experimental error of liquidus temperature [5].…”

“…The equations of liquidus lines and of dissociation extents (a) compounds at melting point in these systems have been derived in models of ideal, regular and sub-regular solutions [5]. The theoretical study of the phase equilibria in multi-component systems has been developed and many approximated models have been used for analysis of metallic, semiconductor and other systems [6].…”

“…The thermodynamics of phase equilibrium of the simplest binary systems, having a single distectic, has been discussed earlier for semiconductor substances [4,5]. The equations of liquidus lines and of dissociation extents (a) compounds at melting point in these systems have been derived in models of ideal, regular and sub-regular solutions [5].…”