Search for internal diagonals in polyhedration of reciprocal systems by the algorithm for topological correction of lists of simplexes of different dimensions

Abstract

The algorithm for topological correction of lists of simplexes of different dimensions was used for analyzing the published methods for determining internal diagonals in polyhedration of reciprocal systems. By this algorithm, errors were found in the polyhedration of the quaternary systems Ca,Na,K||F,MoO 4 , K,Na,Li||Cl,NO 3 , Ba,Na,K||F,MoO 4 , Na,K||Cl,NO 3 ,NO 2 , and Li,K,Ba||F,WO 4 and the quinary system Li,K,Ca,Ba||F,WO 4 , which were used for illustrating the application of the methods. Advantages of the algo rithms were demonstrated in cases of competition of internal secants.

Computer models of phase diagrams for ceramic systems. TiO2-SiO2-Al2O3 and ZrO2-SiO2-Al2O3

“…Forecast of microstructural constituents for the concentration fields of different dimensions (obtained by the projecting of all elements of the phase diagram into the Gibbs triangle) helps to plan and to reduce the volume of experimental study [13][14][15][16].…”