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Efficient analytical approach for high-pressure melting properties of iron

Iron represents the principal constituent of the Earth's core, but its high-pressure melting diagram remains ambiguous. Here we present a simple analytical approach to predict the melting properties of iron under deep-Earth conditions. In our model, anharmonic free energies of the solid phase a...

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Bibliographic Details
Main Authors: Tran Dinh Cuong, Anh D.Phan
Format: Bài trích
Language:eng
Published: Vacuum 2021
Subjects:
Melting properties
High pressure
Iron
Online Access:https://www.sciencedirect.com/science/article/abs/pii/S0042207X20308605?via%3Dihub
https://dlib.phenikaa-uni.edu.vn/handle/PNK/2826
https://doi.org/10.1016/j.vacuum.2020.110001
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spelling oai:localhost:PNK-28262022-08-17T05:54:46Z Efficient analytical approach for high-pressure melting properties of iron Tran Dinh Cuong Anh D.Phan Melting properties High pressure Iron Iron represents the principal constituent of the Earth's core, but its high-pressure melting diagram remains ambiguous. Here we present a simple analytical approach to predict the melting properties of iron under deep-Earth conditions. In our model, anharmonic free energies of the solid phase are directly determined by the moment expansion technique in quantum statistical mechanics. This basis associated with the Lindemann criterion for a vibrational instability can deduce the melting temperature. Moreover, we correlate the thermal expansion process with the shear response to explain a discontinuity of atomic volume, enthalpy, and entropy upon melting. Our numerical calculations are quantitatively consistent with recent experiments and simulations. The obtained results would improve understanding of the Earth's structure, dynamics, and evolution. 2021-09-13T04:24:48Z 2021-09-13T04:24:48Z 2021 Bài trích https://www.sciencedirect.com/science/article/abs/pii/S0042207X20308605?via%3Dihub https://dlib.phenikaa-uni.edu.vn/handle/PNK/2826 https://doi.org/10.1016/j.vacuum.2020.110001 eng Vacuum
institution Digital Phenikaa
collection Digital Phenikaa
language eng
topic Melting properties
High pressure
Iron
spellingShingle Melting properties
High pressure
Iron
Tran Dinh Cuong
Anh D.Phan
Efficient analytical approach for high-pressure melting properties of iron
description Iron represents the principal constituent of the Earth's core, but its high-pressure melting diagram remains ambiguous. Here we present a simple analytical approach to predict the melting properties of iron under deep-Earth conditions. In our model, anharmonic free energies of the solid phase are directly determined by the moment expansion technique in quantum statistical mechanics. This basis associated with the Lindemann criterion for a vibrational instability can deduce the melting temperature. Moreover, we correlate the thermal expansion process with the shear response to explain a discontinuity of atomic volume, enthalpy, and entropy upon melting. Our numerical calculations are quantitatively consistent with recent experiments and simulations. The obtained results would improve understanding of the Earth's structure, dynamics, and evolution.
format Bài trích
author Tran Dinh Cuong
Anh D.Phan
author_facet Tran Dinh Cuong
Anh D.Phan
author_sort Tran Dinh Cuong
title Efficient analytical approach for high-pressure melting properties of iron
title_short Efficient analytical approach for high-pressure melting properties of iron
title_full Efficient analytical approach for high-pressure melting properties of iron
title_fullStr Efficient analytical approach for high-pressure melting properties of iron
title_full_unstemmed Efficient analytical approach for high-pressure melting properties of iron
title_sort efficient analytical approach for high-pressure melting properties of iron
publisher Vacuum
publishDate 2021
url https://www.sciencedirect.com/science/article/abs/pii/S0042207X20308605?via%3Dihub
https://dlib.phenikaa-uni.edu.vn/handle/PNK/2826
https://doi.org/10.1016/j.vacuum.2020.110001
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score 8.887836

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