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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Vacuum
2021
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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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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 |
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Melting properties High pressure Iron |
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Melting properties High pressure Iron Tran Dinh Cuong Anh D.Phan Efficient analytical approach for high-pressure melting properties of iron |
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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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1751856264233615360 |
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8.891053 |