The use of regression models to describe the temperature coefficient values of linear expansion and technological temperatures of CaSO₄-KPO₃-Na₂B₄O₇ low-melting glass system

Abstract

Low-melting noncrystallizing glasses are used as solders for connections of various metallic and nonmetallic parts. However, theoretical data on glass formation and physical parameters of low-melting glasses are still limited. The use of modelling allows to simplify the selection of a glass system as a solder by the mathematical description of the dependencies of both that the temperature coefficient values of linear expansion and other specific temperatures, which are necessary for a practical application. Therefore, the fourth-order regression polynomial models are offered for describing dependences of the temperature coefficient values of linear expansion, the softening temperature and the glass transition temperature from the component concentrations of the CaSO4-KPO3-Na2B4O7 low-melting glass system in the glass formation region. The model involver both pair and ternary interactions of the glass system's components. The analysis of the obtained results showed that the concentration of the CaSO4 component has the highest effect on the temperature coefficient values of linear expansion.