Eur. Phys. J. B 1, 277-294 (1998)
https://doi.org/10.1007/s100510050184

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

Laboratoire GCR ( CNRS URA 769) , Université Pierre et Marie Curie, Tour 22, Boite 142, 4 Place Jussieu, 75252 Paris Cedex 05, France

Corresponding author: ^a mmi@ccr.jussieu.fr

Received: 3 September 1997
Accepted: 17 November 1997
Published online: 15 February 1998

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 β of the Gibbs-Di Marzio equation and also new experimental probes for the validity of the relationship, especially in low modified binary glasses. The influence of medium range order is presented and the unusual behavior of T_g in binary B₂S₃ and P₂S₅ systems explained by the presence of modifier-rich clusters (denoted by B-B doublets).