# Microscopic Geometry Rules Ordering Tendency for Multicomponent Disordered Alloys

## TL;DR

This paper demonstrates that geometric effects, particularly atomic radius differences, predominantly influence short-range ordering tendencies in multicomponent alloys, including high entropy alloys, despite chemical effects.

## Contribution

It shows that geometric effects can effectively characterize SRO tendencies in multicomponent alloys, even near equiatomic compositions where chemical effects are significant.

## Key findings

- Geometric effects dominate SRO in seven fcc-based alloys.
- Atomic radius based on atomic configuration predicts SRO tendencies.
- Geometry plays a significant role in lattice effects on alloy ordering.

## Abstract

Short-range ordering (SRO) tendency for disordered alloys is considered as competition between chemical ordering and geometric (mainly, difference in atomic radius for constituents) effects. Especially for multicomponent (including the so-called high entropy alloys (HEAs) near equiatomic composition), it has been considered as difficult to systematically characterize the SRO tendency only by geometric effects, due mainly to the fact that (i) chemical effects typically plays significant role, (ii) near equiatomic composition, we cannnot classify which elements belong to solute or solvent, and (iii) underlying lattice for pure elements can typically differ from each other. Despite these facts, we here show that SRO tendency for seven fcc-based alloys including subsystems of Ni-based HEAs, can be well characterized by geometric effects, where corresponding atomic radius is defined based on atomic configuration with special fluctuation, measured from ideally random structure. The present findings strongly indicate the significant role of geometry in underlying lattice on SRO for multicomponent alloys.