Toward an accurate ab initio estimation of compressibility and thermal expansion of diamond in the [0, 3000 K] temperature and [0, 30 GPa] pressures ranges, at the hybrid HF/DFT theoretical level

The isothermal bulk modulus, together with its temperature dependence, and the thermal expansion of diamond at various pressures were calculated from first principles in the [0, 30 GPa] and [0, 3000 K] pressure and temperature ranges, within the limits of the quasi-harmonic approximation (QHA). The...

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Main Authors: Prencipe, M., Bruno, M., Nestola, F., De La Pierre, Marco, Nimis, P.
Format: Journal Article
Published: Mineralogical Society of America 2014
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/6053
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author Prencipe, M.
Bruno, M.
Nestola, F.
De La Pierre, Marco
Nimis, P.
author_facet Prencipe, M.
Bruno, M.
Nestola, F.
De La Pierre, Marco
Nimis, P.
author_sort Prencipe, M.
building Curtin Institutional Repository
collection Online Access
description The isothermal bulk modulus, together with its temperature dependence, and the thermal expansion of diamond at various pressures were calculated from first principles in the [0, 30 GPa] and [0, 3000 K] pressure and temperature ranges, within the limits of the quasi-harmonic approximation (QHA). The hybrid HF/DFT functional employed (WC1LYP) proved to be particularly effective in providing a very close agreement between the calculated and the available experimental data. In particular, the bulk modulus at 300 K was estimated to be 444.6 GPa (K' = 3.60); at the same temperature, the (volume) thermal expansion coefficient was 3.19×10-6 K-1. To the authors’ knowledge, among the theoretical papers devoted to the subject, the present one provides the most accurate thermo-elastic data in high-pressure and temperature ranges. Such data can confidently be used in the determination of the pressure of formation using the “elastic method” for minerals found as inclusions in diamonds (recently applied on different minerals included in diamonds), thus shedding light upon the genesis of diamonds in the Earth’s upper mantle.
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institution Curtin University Malaysia
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publishDate 2014
publisher Mineralogical Society of America
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spelling curtin-20.500.11937-60532017-10-02T02:28:05Z Toward an accurate ab initio estimation of compressibility and thermal expansion of diamond in the [0, 3000 K] temperature and [0, 30 GPa] pressures ranges, at the hybrid HF/DFT theoretical level Prencipe, M. Bruno, M. Nestola, F. De La Pierre, Marco Nimis, P. thermo-elastic properties Diamond ab initio calculations thermal expansion The isothermal bulk modulus, together with its temperature dependence, and the thermal expansion of diamond at various pressures were calculated from first principles in the [0, 30 GPa] and [0, 3000 K] pressure and temperature ranges, within the limits of the quasi-harmonic approximation (QHA). The hybrid HF/DFT functional employed (WC1LYP) proved to be particularly effective in providing a very close agreement between the calculated and the available experimental data. In particular, the bulk modulus at 300 K was estimated to be 444.6 GPa (K' = 3.60); at the same temperature, the (volume) thermal expansion coefficient was 3.19×10-6 K-1. To the authors’ knowledge, among the theoretical papers devoted to the subject, the present one provides the most accurate thermo-elastic data in high-pressure and temperature ranges. Such data can confidently be used in the determination of the pressure of formation using the “elastic method” for minerals found as inclusions in diamonds (recently applied on different minerals included in diamonds), thus shedding light upon the genesis of diamonds in the Earth’s upper mantle. 2014 Journal Article http://hdl.handle.net/20.500.11937/6053 10.2138/am.2014.4772 Mineralogical Society of America fulltext
spellingShingle thermo-elastic properties
Diamond
ab initio calculations
thermal expansion
Prencipe, M.
Bruno, M.
Nestola, F.
De La Pierre, Marco
Nimis, P.
Toward an accurate ab initio estimation of compressibility and thermal expansion of diamond in the [0, 3000 K] temperature and [0, 30 GPa] pressures ranges, at the hybrid HF/DFT theoretical level
title Toward an accurate ab initio estimation of compressibility and thermal expansion of diamond in the [0, 3000 K] temperature and [0, 30 GPa] pressures ranges, at the hybrid HF/DFT theoretical level
title_full Toward an accurate ab initio estimation of compressibility and thermal expansion of diamond in the [0, 3000 K] temperature and [0, 30 GPa] pressures ranges, at the hybrid HF/DFT theoretical level
title_fullStr Toward an accurate ab initio estimation of compressibility and thermal expansion of diamond in the [0, 3000 K] temperature and [0, 30 GPa] pressures ranges, at the hybrid HF/DFT theoretical level
title_full_unstemmed Toward an accurate ab initio estimation of compressibility and thermal expansion of diamond in the [0, 3000 K] temperature and [0, 30 GPa] pressures ranges, at the hybrid HF/DFT theoretical level
title_short Toward an accurate ab initio estimation of compressibility and thermal expansion of diamond in the [0, 3000 K] temperature and [0, 30 GPa] pressures ranges, at the hybrid HF/DFT theoretical level
title_sort toward an accurate ab initio estimation of compressibility and thermal expansion of diamond in the [0, 3000 k] temperature and [0, 30 gpa] pressures ranges, at the hybrid hf/dft theoretical level
topic thermo-elastic properties
Diamond
ab initio calculations
thermal expansion
url http://hdl.handle.net/20.500.11937/6053