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Study on the Melting Temperature, the Jumps of Volume, Enthalpy and Entropy at Melting Point, and the Debye Temperature for the BCC Defective and Perfect Interstitial Alloy WSi under Pressure. JOURNAL OF COMPOSITES SCIENCE 2021. [DOI: 10.3390/jcs5060153] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Abstract
The objective of this study is to determine the analytic expressions of the Helmholtz free energy, the equilibrium vacancy concentration, the melting temperature, the jumps of volume, enthalpy the mean nearest neighbor distance and entropy at melting point, the Debye temperature for the BCC defective, the limiting temperature of absolute stability for the crystalline state, and for the perfect binary interstitial alloy. The results obtained from the expressions are combined with the statistical moment method, the limiting condition of the absolute stability at the crystalline state, the Clausius–Clapeyron equation, the Debye model and the Gruneisen equation. Our numerical calculations of obtained theoretical results were carried out for alloy WSi under high temperature and pressure. Our calculated melting curve and relation between the melting temperature and the silicon concentration for WSi are in good agreement with other calculations. Our calculations for the jumps of volume, enthalpy and entropy, and the Debye temperature for WSi predict and orient experimental results in the future.
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Guo ZC, Luo F, Zhang XL, Yuan CY, Liu CA, Cai LC. First-principles calculations of elastic, phonon and thermodynamic properties of W. Mol Phys 2016. [DOI: 10.1080/00268976.2016.1234653] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Zhi-Cheng Guo
- Laboratory for Extreme Conditions Matter Properties, Southwest University of Science and Technology, Mianyang, China
| | - Fen Luo
- Laboratory for Extreme Conditions Matter Properties, Southwest University of Science and Technology, Mianyang, China
| | - Xiu-Lu Zhang
- Laboratory for Extreme Conditions Matter Properties, Southwest University of Science and Technology, Mianyang, China
- National Key Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, Chinese Academy of Engineering Physics, Mianyang, China
| | - Chang-Ying Yuan
- Laboratory for Extreme Conditions Matter Properties, Southwest University of Science and Technology, Mianyang, China
| | - Cheng-An Liu
- Laboratory for Extreme Conditions Matter Properties, Southwest University of Science and Technology, Mianyang, China
| | - Ling-Cang Cai
- National Key Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, Chinese Academy of Engineering Physics, Mianyang, China
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Zeng ZY, Hu CE, Cai LC, Chen XR, Jing FQ. Lattice Dynamics and Thermodynamics of Molybdenum from First-Principles Calculations. J Phys Chem B 2009; 114:298-310. [DOI: 10.1021/jp9073637] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Zhao-Yi Zeng
- College of Physical Science and Technology, Sichuan University, Chengdu, 610064, China, National Key Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, Chinese Academy of Engineering Physics, Mianyang, 621900, China, and International Centre for Materials Physics, Chinese Academy of Sciences, Shenyang 110016, China
| | - Cui-E Hu
- College of Physical Science and Technology, Sichuan University, Chengdu, 610064, China, National Key Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, Chinese Academy of Engineering Physics, Mianyang, 621900, China, and International Centre for Materials Physics, Chinese Academy of Sciences, Shenyang 110016, China
| | - Ling-Cang Cai
- College of Physical Science and Technology, Sichuan University, Chengdu, 610064, China, National Key Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, Chinese Academy of Engineering Physics, Mianyang, 621900, China, and International Centre for Materials Physics, Chinese Academy of Sciences, Shenyang 110016, China
| | - Xiang-Rong Chen
- College of Physical Science and Technology, Sichuan University, Chengdu, 610064, China, National Key Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, Chinese Academy of Engineering Physics, Mianyang, 621900, China, and International Centre for Materials Physics, Chinese Academy of Sciences, Shenyang 110016, China
| | - Fu-Qian Jing
- College of Physical Science and Technology, Sichuan University, Chengdu, 610064, China, National Key Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, Chinese Academy of Engineering Physics, Mianyang, 621900, China, and International Centre for Materials Physics, Chinese Academy of Sciences, Shenyang 110016, China
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Jomard G, Magaud L, Pasturel A. Full-potential calculations using the generalized-gradient corrections: structural properties of Ti, Zr and Hf under compression. ACTA ACUST UNITED AC 2009. [DOI: 10.1080/13642819808206383] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- G. Jomard
- a Laboratoire de Physique Numérique, CNRS , 25 avenue des martyrs, BP 166, F-38042 , Grenoble Cedex 9 , France
- b Laboratoire d'Etudes des Propriétés Electroniques des Solides, CNRS , 25 avenue des martyrs, BP 166, F-38042 , Grenoble Cedex 9 , France
| | - L. Magaud
- c Commissariat à l'Energie Atomique Grenoble, DRN, DTP, SECC , 17 avenue des martyrs, F-38054 , Grenoble Cedex 9 , France
| | - A. Pasturel
- a Laboratoire de Physique Numérique, CNRS , 25 avenue des martyrs, BP 166, F-38042 , Grenoble Cedex 9 , France
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Santamaría-Pérez D, Ross M, Errandonea D, Mukherjee GD, Mezouar M, Boehler R. X-ray diffraction measurements of Mo melting to 119 GPa and the high pressure phase diagram. J Chem Phys 2009; 130:124509. [PMID: 19334853 DOI: 10.1063/1.3082030] [Citation(s) in RCA: 68] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In this paper, we report angle-dispersive X-ray diffraction data of molybdenum melting, measured in a double-sided laser-heated diamond-anvil cell up to a pressure of 119 GPa and temperatures up to 3400 K. The new melting temperatures are in excellent agreement with earlier measurements up to 90 GPa that relied on optical observations of melting and in strong contrast to most theoretical estimates. The X-ray measurements show that the solid melts from the bcc structure throughout the reported pressure range and provide no evidence for a high temperature transition from bcc to a close-packed structure, or to any other crystalline structure. This observation contradicts earlier interpretations of shock data arguing for such a transition. Instead, the values for the Poisson ratios of shock compressed Mo, obtained from the sound speed measurements, and the present X-ray evidence of loss of long-range order suggest that the 210 GPa (approximately 4100 K) transition in the shock experiment is from the bcc structure to a new, highly viscous, structured melt.
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Belonoshko AB, Burakovsky L, Chen SP, Johansson B, Mikhaylushkin AS, Preston DL, Simak SI, Swift DC. Molybdenum at high pressure and temperature: melting from another solid phase. PHYSICAL REVIEW LETTERS 2008; 100:135701. [PMID: 18517968 DOI: 10.1103/physrevlett.100.135701] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/15/2007] [Indexed: 05/26/2023]
Abstract
The Gibbs free energies of bcc and fcc Mo are calculated from first principles in the quasiharmonic approximation in the pressure range from 350 to 850 GPa at room temperatures up to 7500 K. It is found that Mo, stable in the bcc phase at low temperatures, has lower free energy in the fcc structure than in the bcc phase at elevated temperatures. Our density-functional-theory-based molecular dynamics simulations demonstrate that fcc melts at higher than bcc temperatures above 1.5 Mbar. Our calculated melting temperatures and bcc-fcc boundary are consistent with the Mo Hugoniot sound speed measurements. We find that melting occurs at temperatures significantly above the bcc-fcc boundary. This suggests an explanation of the recent diamond anvil cell experiments, which find a phase boundary in the vicinity of our extrapolated bcc-fcc boundary.
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Affiliation(s)
- A B Belonoshko
- Applied Materials Physics, Department of Material Science and Engineering, The Royal Institute of Technology, 10044 Stockholm, Sweden
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Ding Y, Ahuja R, Shu J, Chow P, Luo W, Mao HK. Structural phase transition of vanadium at 69 GPa. PHYSICAL REVIEW LETTERS 2007; 98:085502. [PMID: 17359109 DOI: 10.1103/physrevlett.98.085502] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/17/2006] [Revised: 10/11/2006] [Indexed: 05/14/2023]
Abstract
A phase transition was observed at 63-69 GPa and room temperature in vanadium with synchrotron x-ray diffraction. The transition is characterized as a rhombohedral lattice distortion of the body-centered-cubic vanadium without a discontinuity in the pressure-volume data, thus representing a novel type of transition that has never been observed in elements. Instead of driven by the conventional s-d electronic transition mechanism, the phase transition could be associated with the softening of C44 trigonal elasticity tensor that originates from the combination of Fermi surface nesting, band Jahn-Teller distortion, and electronic topological transition.
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Affiliation(s)
- Yang Ding
- HPCAT, Geophysical Laboratory, Carnegie Institution of Washington, Building 434E, 9700 South Cass Avenue, Argonne, IL 60439, USA.
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Dubrovinsky L, Dubrovinskaia N, Crichton WA, Mikhaylushkin AS, Simak SI, Abrikosov IA, de Almeida JS, Ahuja R, Luo W, Johansson B. Noblest of all metals is structurally unstable at high pressure. PHYSICAL REVIEW LETTERS 2007; 98:045503. [PMID: 17358786 DOI: 10.1103/physrevlett.98.045503] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/01/2006] [Indexed: 05/13/2023]
Abstract
In a series of experiments in externally electrically heated diamond anvil cells we demonstrate that at pressures above approximately 240 GPa gold adopts a hexagonal-close-packed structure. Ab initio calculations predict that at pressures about 250 GPa different stacking sequences of close-packed atomic layers in gold become virtually degenerate in energy, strongly supporting the experimental observations.
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Affiliation(s)
- L Dubrovinsky
- Bayerisches Geoinstitut, Universität Bayreuth, D-95440 Bayreuth, Germany
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Belonoshko AB, Simak SI, Kochetov AE, Johansson B, Burakovsky L, Preston DL. High-pressure melting of molybdenum. PHYSICAL REVIEW LETTERS 2004; 92:195701. [PMID: 15169417 DOI: 10.1103/physrevlett.92.195701] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/12/2003] [Indexed: 05/24/2023]
Abstract
The melting curve of the body-centered cubic (bcc) phase of Mo has been determined for a wide pressure range using both direct ab initio molecular dynamics simulations of melting as well as a phenomenological theory of melting. These two methods show very good agreement. The simulations are based on density functional theory within the generalized gradient approximation. Our calculated equation of state of bcc Mo is in excellent agreement with experimental data. However, our melting curve is substantially higher than the one determined in diamond anvil cell experiments up to a pressure of 100 GPa. An explanation is suggested for this discrepancy.
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Affiliation(s)
- A B Belonoshko
- Applied Materials Physics, Department of Material Science and Engineering, The Royal Institute of Technology, 10044 Stockholm, Sweden
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Boettger J, Trickey S. Inclusion of relativistic effects in Gaussian-basis density functional calculations for extended systems. ACTA ACUST UNITED AC 2000. [DOI: 10.1016/s0166-1280(99)00440-6] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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12
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Kokko K, Salo PT. Pressure-induced charge transfer in Li and Al alloys. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:15393-15396. [PMID: 9983354 DOI: 10.1103/physrevb.53.15393] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Davidov G, Fuks D, Dorfman S. Temperature‐dependent thermodynamic properties of refractory metals: Nonempirical study. J Chem Phys 1996. [DOI: 10.1063/1.471639] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Fuks D, Davidov G, Dorfman S. Consistent thermodynamic study of the solid and liquid phases of tungsten. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:2511-2515. [PMID: 9981316 DOI: 10.1103/physrevb.52.2511] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Moriarty JA. Angular forces and melting in bcc transition metals: A case study of molybdenum. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:12431-12445. [PMID: 10010143 DOI: 10.1103/physrevb.49.12431] [Citation(s) in RCA: 53] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Söderlind P, Ahuja R, Eriksson O, Johansson B, Wills JM. Theoretical predictions of structural phase transitions in Cr, Mo, and W. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:9365-9371. [PMID: 10009734 DOI: 10.1103/physrevb.49.9365] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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17
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Yoo CS, Akella J, Moriarty JA. High-pressure melting temperatures of uranium: Laser-heating experiments and theoretical calculations. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:15529-15534. [PMID: 10008101 DOI: 10.1103/physrevb.48.15529] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Shabalovskaya S, Narmonev A, Ivanova O, Dementjev A. Electronic structure and stability of Ti-based B2 shape-memory compounds: X-ray and ultraviolet photoelectron spectra. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:13296-13311. [PMID: 10007722 DOI: 10.1103/physrevb.48.13296] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Moruzzi VL, Marcus PM. Trends in bulk moduli from first-principles total-energy calculations. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:7665-7667. [PMID: 10006936 DOI: 10.1103/physrevb.48.7665] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Gu G, Vohra YK. Phase stability and the equation of state of the transition-metal alloy Mo-Re at high pressure. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:11559-11562. [PMID: 10005310 DOI: 10.1103/physrevb.47.11559] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Cortella L, Vinet B, Desré PJ, Pasturel A, Paxton AT. Evidences of transitory metastable phases in refractory metals solidified from highly undercooled liquids in a drop tube. PHYSICAL REVIEW LETTERS 1993; 70:1469-1472. [PMID: 10053300 DOI: 10.1103/physrevlett.70.1469] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Peter M, Potzel W, Steiner M, Schäfer C, Karzel H, Schiessl W, Kalvius GM, Gonser U. Lattice-dynamical effects and hyperfine interactions in Cu-Zn alloys. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:753-762. [PMID: 10005549 DOI: 10.1103/physrevb.47.753] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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