Open AccessAnalysis of the geometric features of T-x-y diagrams with melt immiscibility for silicate systems
Author(s) -
В. П. Воробьева,
А. E. Zelenaya,
В. И. Луцык
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1791/1/012121
Subject(s) - eutectic system , phase diagram , liquidus , crystallization , silicate , materials science , diagram , thermodynamics , ternary numeral system , ternary operation , crystallography , mineralogy , geology , physics , chemistry , metallurgy , phase (matter) , mathematics , microstructure , computer science , statistics , alloy , quantum mechanics , astronomy , programming language
Analysis of the geometric structure of phase diagrams for ternary systems with the two immiscible liquids has been carried out. T-x-y diagrams with the both types of the monotectic equilibriums (univariant and invariant ones) have been analyzed. Three-dimensional computer models of T-x-y diagrams for the four silicate systems with mono- and invariant equilibriums and different variants of the immiscibility surfaces location have been built. T-x-y diagram of the ZrO 2 -SiO 2 -Al 2 O 3 system includes one immiscibility cupola, located in the ZrO 2 crystallization field, which adjoins the ZrO 2 -SiO 2 side. The 3D model of T-x-y diagram includes four invariant transformations: peritectic P: L+ZrO 2 +SiO 2 →R 2 , quasi-peritectic Q: L+ZrO 2 →R 1 +R 2 , two eutectic E 1 : L→ZrO 2 +Al 2 O 3 +R 1 , E 2 : L→SiO 2 +R 1 +R 2 . Five surfaces of liquidus, which correspond to the beginning of primary crystallization of three initial components and two binary compounds R 1 =3Al 2 O 3 ·2SiO 2 and (congruently melting) and R 2 =ZrO 2 ·SiO 2 (decomposed without liquid) are formed in the system. T-x-y diagram TiO 2 -ZrO 2 -SiO 2 is characterized by one eutectic E: L→TiO 2 +SiO 2 +ZrO 2 ·TiO 2 and one quasi-peritectic Q: L+ZrO 2 →SiO 2 +ZrO 2 ·TiO 2 transformations and includes two immiscibility surfaces from the sides of TiO 2 -SiO 2 and ZrO 2 -SiO 2 binary systems. FeO-SiO 2 -Fe 2 O 3 system with common immiscibility cupola, that prolongs from the system FeO-SiO 2 to the system SiO 2 -Fe 2 O 3 , is characterized by three invariant transformations of eutectic type, and one metatectic transformation V: B 1 →L+B 2 +C, which corresponds to the transfer from high-temperature allotropy of silica (B1 - cristobalite) to the low-temperature one (B2 – tridymite). T-x-y diagram KAlSi 2 O 6 -Fe 2 SiO 4 -SiO 2 has two immiscibility surfaces: one of them adjoins to the Fe 2 SiO 4 -SiO 2 binary system and the second one is located on the Fe 2 SiO 4 and tridymite liquidus surfaces, dividing the univariant curve on their boundary into two parts, and has three points of the maximum and three points of the minimum. Using of the computer models of T-x-y diagrams allows you to take into account different variants of the geometric structure of the investigated silicate systems.