## Document Type

Report

## Source Publication Title

Technical Report 288

## Abstract

For a regular tetrahedral arrangement of four identical atoms, the minimum velocity of one atom, required for that atom to pass through the plane of the other three, is used to define the melting point of any solid composed of such atoms. The formula which results is [see pdf for notation], in which h is Planck's constant. Computations and results are described for helium, neon, argon, krypton, xenon and copper. The methodology is then extended to homogeneous, diatomic molecular solids and results are described for H2, D2, N2, 02, and C12.

## Disciplines

Mathematics | Physical Sciences and Mathematics

## Publication Date

10-1-1992

## Language

English

## License

This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.

## Recommended Citation

Greenspan, Donald, "Melting Points of Atomic and Homogeneous, Diatomic Molecular Solids Via the Four-Body Problem" (1992). *Mathematics Technical Papers*. 329.

https://mavmatrix.uta.edu/math_technicalpapers/329