Lindenmann Rule Applied to the Melting of Crystals and Ultrastable Glasses

TL;DR

This paper explores the universal constants governing melting and ultra-stable glass formation, deriving predictive criteria based on thermodynamic and vibrational properties that apply across different materials.

Contribution

It introduces a universal ratio and energy saving constant to predict ultra-stable glass formation from melting properties and vibrational amplitudes.

Findings

Universal constants dls and els are identified.

Predictive criteria for ultra-stable glass formation are established.

Application to metallic liquids at specific reduced temperatures.

Abstract

The ratio of the mean square amplitude root of thermal vibrations and the interatomic distance is a universal constant dls at the melting temperature Tm. The classical Gibbs free energy change completed by a volume energy saving els (or Delg)*DHm that governs the liquid to solid and liquid to ultra-stable glass transformations leads to a universal constant equal to els (or Delg), DHm being the crystal melting enthalpy. The minimum values 0.217 of els and 0.103 of dls are used to predict ultra-stable glass formation in pure metallic liquid elements at a universal reduced temperature 0g = (Tg-Tm)/Tm = -0.6223.