ISSN print edition: 0366-6352 ISSN electronic edition: 1336-9075 Registr. No.: MK SR 9/7 Published monthly

The theory of equilibrium of multiple-component (C-components) condensed systems. II. Systems of chemical compounds that fuse congruently. 1

M. Malinovský

Slovak Technical University, Bratislava

Abstract: cf. C.A. 52, 10703c. The difference between the systems with a simple eutectoid and the systems with chem. compds. fused congruently is shown. The term stable division figure is defined as a geometric space of imaginary points in the phase diagram of a k-component system with chem. compds., fusing congruently, of those inner alloys that contain fewer solid phases than k. A concept of a characteristic triangle (similar to a Pascal triangle) is given as being composed of the nos. of structural components of various classes in systems of a given type. The no. of solid phases found in the alloys of an arbitrary elementary cryst. area of k-component systems with a chem. compds. fusing congruently, has the character of a combination of k-class (without repetition) from (k + a)elements. If the order in which the solid phases crystd. from the fusions on cooling is considered, then the arbitrary elementary cryst. area of k-component system of this type can be defined as a certain variation (without repetition) of k-class from (k + a) elements of solid phases existing in the alloys of this system. The no. of structural components of i-order and k-component system with 1 chem. compd. which fuses congruently, is equal: Zik = Cik + Ci-1k-1. The no. of structural total k-orders is expressed: Σki Ζik1 = 3.2k-1 - 1. The no. of elementary cryst. areas in phase diagrams of systems of this type is equal: Σ Ε(k) = 2(k!).

Full paper in Portable Document Format: 122a83.pdf (in Slovak)

Chemical Papers 12 (2) 83–94 (1958)