About oscillation method to study crystallization and melting in multicomponent system

TL;DR

This paper critiques the oscillation method used to study crystallization and melting in multicomponent systems, highlighting fundamental inaccuracies in the assumptions about vibrational modes and the resulting unreliable measurements.

Contribution

It demonstrates that the commonly used oscillation method is based on incorrect assumptions, showing the need to consider torsional vibrations and dynamic system characteristics.

Findings

Oscillation method assumptions are physically incorrect.

Vibrations are not one-dimensional, involving torsional modes.

Results obtained with the method are unreliable and invalid.

Abstract

It is shown that the oscillation method to study liquid viscosity of [1-3,7-34], which is the basis of oscillation method to study crystallization and melting in multicomponent system, is based on incorrect consideration of one dimensional forced (constrained) )vibrations of plate in viscous liquid, because additional (apparent) mass of liquid and surface forces are incorrectly taken into account, and Archimedes force did not taken into account. It is shown that the vibrations cannot be one dimensional, and torsional vibrations need to be taken into account. It is shown also that the characteristics of vibrating system depend on time, the system has no isothermal conditions, the system cannot reach metastable conditions therefore one cannot observe homogeneous crystallization and melting, the results obtained with the use of the method are not reliable and incorrect.