# A Tetrahedron-tiling Method for Crystal Structure Prediction

## TL;DR

This paper introduces a novel tetrahedron-tiling method for crystal structure prediction that efficiently constructs crystal structures from elementary tetrahedra, reducing computational costs and improving accuracy.

## Contribution

It presents a new approach combining energetic tetrahedral units, local energy calculations, and Monte Carlo simulation for more efficient crystal structure prediction.

## Key findings

- Successfully predicts structures of various materials
- Demonstrates efficiency over existing methods
- Validates the tetrahedron-tiling approach

## Abstract

Reliable and robust methods of predicting the crystal structure of a compound, based only on its chemical composition, is crucial to the study of materials and their applications. Despite considerable ongoing research efforts, crystal structure prediction remains a challenging problem that demands large computational resources. Here we propose an efficient approach for first-principles crystal structure prediction. The new method explores and finds crystal structures by tiling together elementary tetrahedra that are energetically favorable and geometrically matching each other. This approach has three distinguishing features: a favorable building unit, an efficient calculation of local energy, and a stochastic Monte Carlo simulation of crystal growth. By applying the method to the crystal structure prediction of various materials, we demonstrate its validity and potential as a promising alternative to current methods.