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Diaz-Caraveo C, C BK, San Martín JAM. Lattice dynamics and free energies of Fe-V alloys with thermal and chemical disorder. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2024; 36:445401. [PMID: 39042110 DOI: 10.1088/1361-648x/ad66a5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/29/2024] [Accepted: 07/09/2024] [Indexed: 07/24/2024]
Abstract
Molecular dynamics simulations of Fe-V binary alloys with body-centered cubic as the underlying lattice were performed using a classical potential for chemically ordered and disordered states at finite temperatures for a common set of volumes. The equation of state was fitted to the computational data to obtain temperature- and chemical-order-dependent state functions via the Moruzzi-Janak-Schwarz approximation. Additionally, vibrational entropies that account for both thermal and chemical disorder were calculated for the equiatomic compositions from phonon density-of-states curves computed using effective force constants obtained from fits to the simulations. The latter predicts that the vibrational entropy at room temperature at equiatomicity is higher for the ordered phase than for the solid solution, a peculiar behavior previously observed experimentally. The internal energy of mixing favors ordering at all compositions, with a maximum at equiatomicity that decreases as the solute concentration decreases. The configurational entropy contribution to the free energy of mixing is almost entirely responsible for the stability of the high-temperature disordered phase.
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Affiliation(s)
- Cesar Diaz-Caraveo
- Department of Physics, The University of Texas at El Paso, El Paso, TX 79968, United States of America
| | - Bimal K C
- Department of Physics, The University of Texas at El Paso, El Paso, TX 79968, United States of America
| | - Jorge A Muñoz San Martín
- Department of Physics, The University of Texas at El Paso, El Paso, TX 79968, United States of America
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2
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Kam R, Jun K, Barroso-Luque L, Yang JH, Xie F, Ceder G. Crystal Structures and Phase Stability of the Li 2S-P 2S 5 System from First Principles. CHEMISTRY OF MATERIALS : A PUBLICATION OF THE AMERICAN CHEMICAL SOCIETY 2023; 35:9111-9126. [PMID: 38027543 PMCID: PMC10653090 DOI: 10.1021/acs.chemmater.3c01793] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 07/18/2023] [Revised: 10/10/2023] [Accepted: 10/11/2023] [Indexed: 12/01/2023]
Abstract
The Li2S-P2S5 pseudo-binary system has been a valuable source of promising superionic conductors, with α-Li3PS4, β-Li3PS4, HT-Li7PS6, and Li7P3S11 having excellent room-temperature Li-ion conductivity >0.1 mS/cm. The metastability of these phases at ambient temperature motivates a study to quantify their thermodynamic accessibility. Through calculating the electronic, configurational, and vibrational sources of free energy from first principles, a phase diagram of the crystalline Li2S-P2S5 space is constructed. New ground-state orderings are proposed for α-Li3PS4, HT-Li7PS6, LT-Li7PS6, and Li7P3S11. Well-established phase stability trends from experiments are recovered, such as polymorphic phase transitions in Li7PS6 and Li3PS4, and the instability of Li7P3S11 at high temperature. At ambient temperature, it is predicted that all superionic conductors in this space are indeed metastable but thermodynamically accessible. Vibrational and configurational sources of entropy are shown to be essential toward describing the stability of superionic conductors. New details of the Li sublattices are revealed and are found to be crucial toward accurately predicting configurational entropy. All superionic conductors contain significant configurational entropy, which suggests an inherent correlation between fast Li diffusion and thermodynamic stability arising from the configurational disorder.
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Affiliation(s)
- Ronald
L. Kam
- Materials
Science Division, Lawrence Berkeley National
Laboratory, Berkeley, California 94720, United States
- Department
of Materials Science and Engineering, University
of California, Berkeley, California 94720, United States
| | - KyuJung Jun
- Materials
Science Division, Lawrence Berkeley National
Laboratory, Berkeley, California 94720, United States
- Department
of Materials Science and Engineering, University
of California, Berkeley, California 94720, United States
| | - Luis Barroso-Luque
- Materials
Science Division, Lawrence Berkeley National
Laboratory, Berkeley, California 94720, United States
| | - Julia H. Yang
- Materials
Science Division, Lawrence Berkeley National
Laboratory, Berkeley, California 94720, United States
| | - Fengyu Xie
- Materials
Science Division, Lawrence Berkeley National
Laboratory, Berkeley, California 94720, United States
- Department
of Materials Science and Engineering, University
of California, Berkeley, California 94720, United States
| | - Gerbrand Ceder
- Materials
Science Division, Lawrence Berkeley National
Laboratory, Berkeley, California 94720, United States
- Department
of Materials Science and Engineering, University
of California, Berkeley, California 94720, United States
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3
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Polak M, Rubinovich L. The Thermal Stability of Asymmetric Separated Configurations inside Alloy Nanoparticles: Atomic-Scale Modeling of Pd-Ir Nanophase Diagrams. ACS NANO 2022; 16:20186-20196. [PMID: 36493340 DOI: 10.1021/acsnano.2c05419] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/17/2023]
Abstract
Compared to alloy bulk phase diagrams, the experimental determination of phase diagrams for alloy nanoparticles (NPs), which are useful in various nanotechnological applications, involves significant technical difficulties, making theoretical modeling a feasible alternative. Yet, being quite challenging, modeling of separation nanophase diagrams is scarce in the literature. The task of predicting comprehensive nanophase diagrams for Pd-Ir face-centered cubic-based three cuboctahedra is facilitated in this study by combining the computationally efficient statistical-mechanical Free-energy Concentration Expansion Method, which includes short-range order (SRO) with coordination-dependent bond-energy variations as part of the input and with rotationally symmetric site grouping for extra efficiency. This nanosystem has been chosen mainly because of the very small atomic mismatch that simplifies the modeling, e.g., in the assessment of vibrational entropy contributions based in this work on fitting to the Pd-Ir experimental bulk critical temperature. This entropic effect, together with SRO, leads to significant destabilization of low-T Quasi-Janus (QJ) asymmetric configurations of the NP core, which transform to symmetric partially mixed nanophases. First-order and second-order intracore transitions are predicted for dilute and intermediate-range compositions, respectively. Caloric curves computed for the former case yield the NP-size dependent transition latent heat, and in the latter case critical temperatures exhibit a specific scaling behavior. The computed separation diagrams and intracore solubility diagrams reflect enhanced elemental mixing in smaller QJ nanophases. In addition to these diagrams, the revealed near-surface compositional variations are likely to be pertinent to the utilization of Pd-Ir NPs, e.g., in catalysis.
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Affiliation(s)
- Micha Polak
- Department of Chemistry, Ben-Gurion University of the Negev, Beer-Sheva84105, Israel
| | - Leonid Rubinovich
- Department of Chemistry, Ben-Gurion University of the Negev, Beer-Sheva84105, Israel
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Ji H, Urban A, Kitchaev DA, Kwon DH, Artrith N, Ophus C, Huang W, Cai Z, Shi T, Kim JC, Kim H, Ceder G. Hidden structural and chemical order controls lithium transport in cation-disordered oxides for rechargeable batteries. Nat Commun 2019; 10:592. [PMID: 30723202 PMCID: PMC6363792 DOI: 10.1038/s41467-019-08490-w] [Citation(s) in RCA: 45] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/24/2018] [Accepted: 01/07/2019] [Indexed: 11/09/2022] Open
Abstract
Structure plays a vital role in determining materials properties. In lithium ion cathode materials, the crystal structure defines the dimensionality and connectivity of interstitial sites, thus determining lithium ion diffusion kinetics. In most conventional cathode materials that are well-ordered, the average structure as seen in diffraction dictates the lithium ion diffusion pathways. Here, we show that this is not the case in a class of recently discovered high-capacity lithium-excess rocksalts. An average structure picture is no longer satisfactory to understand the performance of such disordered materials. Cation short-range order, hidden in diffraction, is not only ubiquitous in these long-range disordered materials, but fully controls the local and macroscopic environments for lithium ion transport. Our discovery identifies a crucial property that has previously been overlooked and provides guidelines for designing and engineering cation-disordered cathode materials.
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Affiliation(s)
- Huiwen Ji
- Department of Materials Science and Engineering, University of California Berkeley, Berkeley, CA, 94720, USA.,Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA
| | - Alexander Urban
- Department of Materials Science and Engineering, University of California Berkeley, Berkeley, CA, 94720, USA.,Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA.,School of Chemistry, University of St Andrews, St Andrews, KY16 9ST, UK
| | - Daniil A Kitchaev
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Deok-Hwang Kwon
- Department of Materials Science and Engineering, University of California Berkeley, Berkeley, CA, 94720, USA.,Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA
| | - Nongnuch Artrith
- Department of Materials Science and Engineering, University of California Berkeley, Berkeley, CA, 94720, USA.,Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA
| | - Colin Ophus
- National Center for Electron Microscopy, Molecular Foundry, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA
| | - Wenxuan Huang
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Zijian Cai
- Department of Materials Science and Engineering, University of California Berkeley, Berkeley, CA, 94720, USA.,Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA
| | - Tan Shi
- Department of Materials Science and Engineering, University of California Berkeley, Berkeley, CA, 94720, USA.,Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA
| | - Jae Chul Kim
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA.,Department of Chemical Engineering and Materials Science, Stevens Institute of Technology, Hoboken, NJ, 07030, USA
| | - Haegyeom Kim
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA
| | - Gerbrand Ceder
- Department of Materials Science and Engineering, University of California Berkeley, Berkeley, CA, 94720, USA. .,Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA.
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Ng MF, Tan TL. Unveiling stable group IV alloy nanowires via a comprehensive search and their electronic band characteristics. NANO LETTERS 2013; 13:4951-4956. [PMID: 23984910 DOI: 10.1021/nl402987c] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/02/2023]
Abstract
By means of density functional theory calculations, the cluster expansion method, and Monte Carlo simulations, we identify the stable spatial configurations (ground states) for [100] CSi, GeSi, and SnSi alloy nanowires (NWs) across compositions. In particular, we find that stable configurations of GeSiNWs and SnSiNWs exhibit core-shell segregation tendencies, while those of CSiNWs favor ordering. Moreover, we show compositional ranges where the band gaps are expected to vary linearly with composition, allowing predictable band gap fine-tuning. We also predict composition ranges where the spatial separation of near-band gap states are imminent, making it possible for electron-hole charge separation. By addressing both the issues of stability and the compositional trend of electronic band structure, our work should prove useful for designing alloy NWs of smaller dimensions.
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Affiliation(s)
- Man-Fai Ng
- Institute of High Performance Computing, Agency for Science, Technology, and Research , 1 Fusionopolis Way, #16-16 Connexis, Singapore 138632, Singapore
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6
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Mueller T, Ceder G. Effect of particle size on hydrogen release from sodium alanate nanoparticles. ACS NANO 2010; 4:5647-5656. [PMID: 20849095 DOI: 10.1021/nn101224j] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/29/2023]
Abstract
Density functional theory and the cluster expansion method are used to model 2-10 nm sodium alanate (NaAlH(4)) nanoparticles and related decomposition products Na(3)AlH(6), NaH, and Al. While bulk sodium alanate releases hydrogen in a two-step process, our calculations predict that below a certain size sodium alanate nanoparticles decompose in a single step directly to NaH, Al, and H(2) due to the effect of particle size on decomposition thermodynamics. This may explain why sodium alanate nanoparticles, unlike bulk sodium alanate, have been observed to release hydrogen in the operating temperature range of proton exchange membrane fuel cells. In addition, we identify low-energy surfaces that may be important for the dynamics of hydrogen storage and release from sodium alanate nanoparticles.
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Affiliation(s)
- Tim Mueller
- Massachusetts Institute of Technology, 77 Massachusetts Avenue 13-5056, Cambridge, Massachusetts 02139, USA
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Manley ME, Fultz B, Nagel LJ. Heat capacity and microstructure of ordered and disordered Pd3V. ACTA ACUST UNITED AC 2009. [DOI: 10.1080/13642810008208589] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- M. E. Manley
- a Division of Engineering and Applied Science , Mail 138-78, California Institute of Technology, Pasadena , CA , 91125 , USA
| | - B. Fultz
- a Division of Engineering and Applied Science , Mail 138-78, California Institute of Technology, Pasadena , CA , 91125 , USA
| | - L. J. Nagel
- b Engineering Technology, West Texas A&M University , Canyon , TX , 79016 , USA
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8
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Bogdanoff PD, Fultz B. Vibrational entropies of alloying and compound formation: Experimental trends. ACTA ACUST UNITED AC 2009. [DOI: 10.1080/13642819908205747] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- P. D. Bogdanoff
- a Keck Laboratory of Engineering Materials , California Institute of Technology , Mail 138-78, Pasadena , California , 91125 , USA
| | - B. Fultz
- a Keck Laboratory of Engineering Materials , California Institute of Technology , Mail 138-78, Pasadena , California , 91125 , USA
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9
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van de Walle A. A complete representation of structure-property relationships in crystals. NATURE MATERIALS 2008; 7:455-458. [PMID: 18488033 DOI: 10.1038/nmat2200] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/02/2008] [Accepted: 04/16/2008] [Indexed: 05/26/2023]
Abstract
Whereas structure-property relationships have long guided the discovery and optimization of novel materials, formal quantitative methods to identify such relationships in crystalline systems are beginning to emerge. Among them is cluster expansion, which has been successfully used to parametrize the configurational dependence of important scalar physical properties such as bandgaps, Curie temperatures, equation-of-state parameters and densities of states. However, cluster expansion is currently unable to handle anisotropic properties, a key distinguishing feature of crystalline systems central to the design of modern epitaxial structures and devices. Here, I introduce a tensorial cluster expansion enabling the prediction of fundamental tensor-valued material properties such as elasticity, piezoelectricity, dielectric constants, optoelectric coupling, anisotropic diffusion coefficients, surface energy and stress. As an application, I develop predictive ab initio models of anisotropic properties relevant to the design and optimization of III-V semiconductor epitaxial optoelectronic devices.
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Affiliation(s)
- A van de Walle
- Engineering and Applied Science Division, California Institute of Technology, Pasadena, California 91125, USA.
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10
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Nagel LJ, Fultz B, Robertson JL. Vibrational entropies of phases of Co3V measured by inelastic neutron scattering and cryogenic calorimetry. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/13642819708202349] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- L. J. Nagel
- a Division of Engineering and Applied Science , Mail 138-78, California Institute of Technology , Pasadena , California , 91125 , USA
| | - B. Fultz
- a Division of Engineering and Applied Science , Mail 138-78, California Institute of Technology , Pasadena , California , 91125 , USA
| | - J. L. Robertson
- b Oak Ridge National Laboratory , PO Box 2008, Oak Ridge , Tennessee , 37831 , USA
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11
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12
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Curtarolo S, Ceder G. Dynamics of an inhomogeneously coarse grained multiscale system. PHYSICAL REVIEW LETTERS 2002; 88:255504. [PMID: 12097096 DOI: 10.1103/physrevlett.88.255504] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/13/2001] [Indexed: 05/23/2023]
Abstract
To study material phenomena simultaneously at various length scales, descriptions in which matter can be coarse grained to arbitrary levels are necessary. Attempts to do this in the static regime (i.e., zero temperature) have already been developed. We present an approach that leads to a dynamics for such coarse grained models. This allows us to obtain temperature-dependent and transport properties. Renormalization group theory is used to create new local potential models between nodes, within the approximation of local thermodynamical equilibrium. Assuming that these potentials give an average description of node dynamics, we calculate thermal and mechanical properties. If this method can be sufficiently generalized it may form the basis of a multiscale molecular dynamics method with time and spatial coarse graining.
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Affiliation(s)
- Stefano Curtarolo
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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13
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Morgan D, Althoff JD, Fontaine D. Local environment effects in the vibrational properties of disordered alloys: An embedded-atom method study of Ni3Al and Cu3Au. ACTA ACUST UNITED AC 1998. [DOI: 10.1361/105497198770341752] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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14
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Nagel LJ, Anthony L, Okamoto JK, Fultz B. An experimental study of the difference in vibrational entropy between ordered and disordered Fe3A1. ACTA ACUST UNITED AC 1997. [DOI: 10.1007/bf02665810] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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15
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Kohan AF, Ceder G. Tight-binding calculation of formation energies in multicomponent oxides: Application to the MgO-CaO phase diagram. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:805-811. [PMID: 9985345 DOI: 10.1103/physrevb.54.805] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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16
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Garbulsky GD, Ceder G. Contribution of the vibrational free energy to phase stability in substitutional alloys: Methods and trends. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:8993-9001. [PMID: 9982401 DOI: 10.1103/physrevb.53.8993] [Citation(s) in RCA: 55] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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17
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Mukherjee GD, Bansal C, Chatterjee A. Thermal expansion study of ordered and disordered Fe3Al: An effective approach for the determination of vibrational entropy. PHYSICAL REVIEW LETTERS 1996; 76:1876-1879. [PMID: 10060543 DOI: 10.1103/physrevlett.76.1876] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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18
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Sluiter MH, Watanabe Y, Fontaine D, Kawazoe Y. First-principles calculation of the pressure dependence of phase equilibria in the Al-Li system. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:6137-6151. [PMID: 9982012 DOI: 10.1103/physrevb.53.6137] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Asta M, Foiles SM. Embedded-atom-method effective-pair-interaction study of the structural and thermodynamic properties of Cu-Ni, Cu-Ag, and Au-Ni solid solutions. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:2389-2404. [PMID: 9983741 DOI: 10.1103/physrevb.53.2389] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Pasturel A, Colinet C, Paxton AT. Electronic structure and phase stability study in the Ni-Ti system. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:15176-15190. [PMID: 9980872 DOI: 10.1103/physrevb.52.15176] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Fultz B, Anthony L, Nagel LJ, Nicklow RM, Spooner S. Phonon densities of states and vibrational entropies of ordered and disordered Ni3Al. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:3315-3321. [PMID: 9981449 DOI: 10.1103/physrevb.52.3315] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Fultz B, Anthony L, Robertson JL, Nicklow RM, Spooner S, Mostoller M. Phonon modes and vibrational entropy of mixing in Fe-Cr. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:3280-3285. [PMID: 9981445 DOI: 10.1103/physrevb.52.3280] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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23
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McCormack R, Wolverton C, Ceder G. Nonempirical phase equilibria in the W-Mo-Cr system. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:15808-15822. [PMID: 9978557 DOI: 10.1103/physrevb.51.15808] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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24
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Ceder G, Garbulsky GD, Tepesch PD. Convergent real-space cluster expansion for configurational disorder in ionic systems. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:11257-11261. [PMID: 9977850 DOI: 10.1103/physrevb.51.11257] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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25
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Silverman A, Zunger A, Kalish R, Adler J. Atomic-scale structure of disordered Ga1-xInxP alloys. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:10795-10816. [PMID: 9977776 DOI: 10.1103/physrevb.51.10795] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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26
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Garbulsky GD, Ceder G. Linear-programming method for obtaining effective cluster interactions in alloys from total-energy calculations: Application to the fcc Pd-V system. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:67-72. [PMID: 9977059 DOI: 10.1103/physrevb.51.67] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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27
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Anthony L, Nagel LJ, Okamoto JK, Fultz B. Magnitude and origin of the difference in vibrational entropy between ordered and disordered Fe3Al. PHYSICAL REVIEW LETTERS 1994; 73:3034-3037. [PMID: 10057265 DOI: 10.1103/physrevlett.73.3034] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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