# The dissolution of the vacancy gas and grain boundary diffusion in crystalline solids

## TL;DR

This paper develops a model for grain boundary diffusion in crystalline solids, linking vacancy density, surface tension, and activation energy, providing insights into vacancy and diffusing species distributions near grain boundaries.

## Contribution

It introduces a new model connecting vacancy density, surface tension, and diffusion activation energy in crystalline solids.

## Key findings

- Derived activation energy dependent on surface tension
- Predicted vacancy and diffusing species distributions near grain boundaries
- Established a formula for vacancy density under stress

## Abstract

Based on the formula for the number density of vacancies in a solid under the stress or tension, the model of grain boundary diffusion in crystalline solids is developed. We obtain the activation energy of grain boundary diffusion (dependent on the surface tension or the energy of the grain boundary) and also the distributions of vacancies and the diffusing species in the vicinity of the grain boundary.