Theoretical study of thermal stability range of α″–Fe16N2 within the iron nitride binary phase diagram

α″–Fe16N2 has been investigated as one of promising candidates for environment-friendly magnets. While giant saturation magnetization has previously been experimentally observed and recently explained by the Cluster+Atom model in α″–Fe16N2, its magnetic anisotropy and structural stability leave room...

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Main Authors: Peter Stoeckl, Jian-Ping Wang
Format: Article
Language:English
Published: AIP Publishing LLC 2025-03-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/9.0000916
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author Peter Stoeckl
Jian-Ping Wang
author_facet Peter Stoeckl
Jian-Ping Wang
author_sort Peter Stoeckl
collection DOAJ
description α″–Fe16N2 has been investigated as one of promising candidates for environment-friendly magnets. While giant saturation magnetization has previously been experimentally observed and recently explained by the Cluster+Atom model in α″–Fe16N2, its magnetic anisotropy and structural stability leave room for improvement. Recent theoretical studies have considered alloying Fe16N2 with various elements to improve the magnetic properties and/or stability against decomposition. However, estimates of stability in particular are typically restricted to simple ground-state-energy comparisons, effectively taken at 0 K. For a more practical measure of stability, we therefore extend ground-state energies, obtained with the plane-wave density-functional theory (DFT) code Quantum ESPRESSO, with appropriate empirical and/or statistical corrections to obtain free energies at arbitrary temperature. We then compare the stability of Fe16N2 against the neighboring phases and phase combinations in the Fe–N binary system within the Compound Energy Formalism, to estimate the range of temperatures at which it is stable. With simple empirical correction terms for energy of N2 gas, Fe16N2 may be predicted to persist well above 800 K. With statistical correction terms that estimate contributions from solid phases, we instead find Fe16N2 to be stable up to ∼425 K, yielding to α–Fe + ε–Fe3N at higher temperatures. We compare against experimental observations of the Fe–N phase diagram including Fe16N2 decomposition at around 500 K, and discuss the effect and relative accuracy of different correction terms.
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spelling doaj-art-5395b7a53d5f4afba585adff3aef5ac62025-08-20T01:55:52ZengAIP Publishing LLCAIP Advances2158-32262025-03-01153035209035209-610.1063/9.0000916Theoretical study of thermal stability range of α″–Fe16N2 within the iron nitride binary phase diagramPeter Stoeckl0Jian-Ping Wang1School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USASchool of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USAα″–Fe16N2 has been investigated as one of promising candidates for environment-friendly magnets. While giant saturation magnetization has previously been experimentally observed and recently explained by the Cluster+Atom model in α″–Fe16N2, its magnetic anisotropy and structural stability leave room for improvement. Recent theoretical studies have considered alloying Fe16N2 with various elements to improve the magnetic properties and/or stability against decomposition. However, estimates of stability in particular are typically restricted to simple ground-state-energy comparisons, effectively taken at 0 K. For a more practical measure of stability, we therefore extend ground-state energies, obtained with the plane-wave density-functional theory (DFT) code Quantum ESPRESSO, with appropriate empirical and/or statistical corrections to obtain free energies at arbitrary temperature. We then compare the stability of Fe16N2 against the neighboring phases and phase combinations in the Fe–N binary system within the Compound Energy Formalism, to estimate the range of temperatures at which it is stable. With simple empirical correction terms for energy of N2 gas, Fe16N2 may be predicted to persist well above 800 K. With statistical correction terms that estimate contributions from solid phases, we instead find Fe16N2 to be stable up to ∼425 K, yielding to α–Fe + ε–Fe3N at higher temperatures. We compare against experimental observations of the Fe–N phase diagram including Fe16N2 decomposition at around 500 K, and discuss the effect and relative accuracy of different correction terms.http://dx.doi.org/10.1063/9.0000916
spellingShingle Peter Stoeckl
Jian-Ping Wang
Theoretical study of thermal stability range of α″–Fe16N2 within the iron nitride binary phase diagram
AIP Advances
title Theoretical study of thermal stability range of α″–Fe16N2 within the iron nitride binary phase diagram
title_full Theoretical study of thermal stability range of α″–Fe16N2 within the iron nitride binary phase diagram
title_fullStr Theoretical study of thermal stability range of α″–Fe16N2 within the iron nitride binary phase diagram
title_full_unstemmed Theoretical study of thermal stability range of α″–Fe16N2 within the iron nitride binary phase diagram
title_short Theoretical study of thermal stability range of α″–Fe16N2 within the iron nitride binary phase diagram
title_sort theoretical study of thermal stability range of α fe16n2 within the iron nitride binary phase diagram
url http://dx.doi.org/10.1063/9.0000916
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