# Modulations in martensitic Heusler alloys originate from nanotwin ordering

## TL;DR

This study uses large-scale density functional theory calculations on Ni2MnGa to clarify the origin of modulated structures in martensitic Heusler alloys, revealing the roles of nanotwin ordering and phonon softening in their properties.

## Contribution

It demonstrates the interaction energy between twin boundaries and shows how nanotwin ordering and phonon softening jointly explain modulated martensite structures.

## Key findings

- Ordered modulations result from minimized twin boundary interaction energy.
- Twin boundaries act as stacking faults at the mesoscale.
- Phonon softening facilitates the transformation to nanotwinned martensite.

## Abstract

Heusler alloys exhibiting magnetic and martensitic transitions enable applications like magnetocaloric refrigeration and actuation based on the magnetic shape memory effect. Their outstanding functional properties depend on low hysteresis losses and low actuation fields. These are only achieved if the atomic positions deviate from a tetragonal lattice by periodic displacements. The origin of the so-called modulated structures is the subject of much controversy: They are either explained by phonon softening or adaptive nanotwinning. Here we used large-scale density functional theory calculations on the Ni2MnGa prototype system to demonstrate interaction energy between twin boundaries. Minimizing the interaction energy resulted in the experimentally observed ordered modulations at the atomic scale, it explained that a/b twin boundaries are stacking faults at the mesoscale, and contributed substantially to the macroscopic hysteresis losses. Furthermore, we found that phonon softening paves the transformation path towards the nanotwinned martensite state. This unified both opposing concepts to explain modulated martensite.

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Source: https://tomesphere.com/paper/1701.01562