The slope equations: a universal relationship between local structure and glass transition temperature

TL;DR

This paper introduces a universal analytical relationship linking local glass structure to the glass transition temperature, supported by experimental validation and derivation of key parameters, enhancing understanding of glass behavior.

Contribution

It provides the analytical expression for the parameter β in the Gibbs-Di Marzio equation and offers new experimental tests for the universal relationship.

Findings

Derived the analytical expression for β in the Gibbs-Di Marzio equation.

Validated the universal relationship with experimental data, especially in low modified binary glasses.

Proposed new experimental methods to test the relationship's validity.

Abstract

In this article, we present a universal relationship between the glass transition temperature $T_g$ and the local glass structure. The derivation of the simplest expression of this relationship and some comparisons with experimental $T_g$ values have already been reported in a recent letter. We give here the analytical expression of the parameter $\beta$ of the Gibbs-Di Marzio equation and also new experimental probes for the validity of the relationship, especially in low modified binary glasses.