Improvement of the method to search low-melting solvents for the crystals MBaNa(BO3)2 (M = Sc,Y) growth

Matrix interrelation of subsystems coordinates in M–Ba–Na–B–O (M = Sc,Y) system with the compound MBANa(BO3)2 are derived. Imitation of quaternary eutectic points search by a set of one-dimensional tetrahedron sections (nonplanar tie-lines method) is performed in system (KCl)2–R1–R2-(LiBO2)2 (R1 = LiKWO4, R2 = LiKSO4), which separates the pentatops (KCl)2-K2SO4–R1–-R2–(LiBO2)2 and (KCl)2-(LiBO2)2–R1–R2–Li2WO4 of system Li,K||Cl,SO4,WO4,BO2. Triangulation of systems A,B,C||X,Y with binary compounds by new algorithms has been considered.

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► To derive the matrix interrelations of coordinates for 4- and 5-components systems.
► Systems M–Ba–Na–B–O (M = Sc,Y) and (KCl)2–R1–R2–(LiBO2)2 are used as an example.
► We imitate the search method of quaternary eutectic points by nonplanar tie-lines.
► Triangulation variants of systems A,B,C||X,Y are considered.