# Computational Search for Novel Hard Chromium-Based Materials

## TL;DR

This study uses global optimization to identify and analyze the hardness and stability of chromium-based binary compounds, discovering new phases and highlighting the superhard CrB4 and nitrogen-rich CrN4 as promising materials.

## Contribution

It introduces a comprehensive computational approach to discover and characterize novel chromium-based hard materials, including new stable phases and their properties.

## Key findings

- Discovery of a new stable phase Pmn2_1-Cr2C.
- CrB4 identified as a superhard material with 48 GPa hardness.
- Prediction of nitrogen-rich CrN4 as a high energy-density material.

## Abstract

Nitrides, carbides and borides of transition metals are an attractive class of hard materials. Our recent preliminary explorations of the binary chemical compounds indicated that chromium-based materials are among the hardest transition metal compounds. Motivated by this, here we explore in detail the binary Cr-B, Cr-C and Cr-N systems using global optimization techniques. Calculated enthalpy of formation and hardness of predicted materials were used for Pareto optimization to define the hardest materials with lowest energy. Our calculations recover all numerous known stable compounds (except $Cr_{23}C_6$ with its large unit cell) and discover a novel stable phase $Pmn2_1$-$Cr_2C$. We resolve the structure of $Cr_2N$ and find it to be of anti-$CaCl_2$ type (space group Pnnm). Many of these phases possess remarkable hardness, but only $CrB_4$ is superhard (Vickers hardness 48 GPa). Among chromium compounds, borides generally possess highest hardnesses and greatest stability. Under pressure, we predict stabilization of a TMDC-like phase of $Cr_2N$, a WC-type phase of CrN, and a new compound $CrN_4$. Nitrogen-rich chromium nitride $CrN_4$ is a high energy-density material featuring polymeric nitrogen chains. In the presence of metal atoms polymerization of nitrogen takes place at much lower pressures: $CrN_4$ becomes stable at 15 GPa.

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Source: https://tomesphere.com/paper/1703.02115