Mathematical Modeling of Graphite-to-Diamond Transition

TL;DR

This paper models the graphite-to-diamond transition induced by electron irradiation, analyzing heat conduction and showing that the resulting temperature and pressure conditions are sufficient for the phase change.

Contribution

It provides a mathematical model of the transition process, including heat conduction and pressure analysis, under electron irradiation conditions.

Findings

Temperatures and pressures in graphite are sufficient for diamond formation.

Heat conduction equations are solved for pulse-periodic energy sources.

Electron irradiation can induce conditions favorable for graphite-to-diamond transition.

Abstract

The energetic evaluations of graphite-to-diamond transition by electron irradiation are performed. The heat conduction problem is solved for the diamond synthesis when a pulse-periodic source of energy is located within a graphite cylinder; time dependences of temperature and pressure are found. It is shown, that the temperatures and pressures implemented in graphite are sufficient for graphite-to-diamond transition under electron bombardment.