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Berthier F, Legrand B. Analysis of Au-Pd driving forces via the effective site energy model: LRO, antisites and enthalpy of permutation. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:354001. [PMID: 32268320 DOI: 10.1088/1361-648x/ab87ce] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/07/2020] [Accepted: 04/08/2020] [Indexed: 06/11/2023]
Abstract
Recently we have developed a new energetic model based on the determination of the energies on each site of random solid solutions after relaxation as a function of both the local composition and the nominal concentration. It allows to determine the main thermodynamics driving forces of disordered alloys. Here, we extend the effective site energy model to ordered alloys and illustrate the results for the AucPd1-csystem. As a first step, we show the ability of this energetic model to reproduce the hierarchy of ordered phases. Then, we derive general mean-field analytic formulae for ordered systems and get the phase diagram. We determine the relative role of the cohesive effect, the chemical effect and the size effect and find that the chemical effect differs significantly between the disordered state and the ordered state. Finally, we link the energy formation of antisite to the permutation enthalpy and give the driving forces for the formation of antisite.
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Affiliation(s)
- F Berthier
- Université Paris-Saclay, CNRS, Institut de chimie moléculaire et des matériaux d'Orsay, 91405, Orsay, France
| | - B Legrand
- Université Paris-Saclay, CEA, Service de Recherches de Métallurgie Physique, 91191, Gif-sur-Yvette, France
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Chen W, Dalach P, Schneider WF, Wolverton C. Interplay between subsurface ordering, surface segregation, and adsorption on Pt-Ti(111) near-surface alloys. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2012; 28:4683-4693. [PMID: 22352380 DOI: 10.1021/la204843q] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
Using the first-principles cluster expansion (CE) method, we studied the subsurface ordering of Pt/Pt-Ti(111) surface alloys and the effect of this ordering on segregation and adsorption behavior. The clusters included in the CE are optimized by a genetic algorithm to better describe the interactions between Pt and Ti atoms in the subsurface layer. Similar to bulk Pt-Ti alloys, Pt-Ti(111) subsurface alloys show a strong ordering tendency. A series of stable ordered Pt-Ti subsurface structures are identified from the two-dimensional (2D) CE. As an indication of the connection between the 2D and the bulk ordering, the CE predicts a ground-state Pt(8)Ti structure in the (111) subsurface layer, which is the same ordering as the close-packed plane of the bulk Pt(8)Ti compound. We carried out Monte Carlo simulations (MC) using the CE Hamiltonian to study the finite temperature stability of the Pt-Ti subsurface structures. The MC results show that subsurface structures in the Pt-rich range have higher order-disorder transition temperatures than their Ti-rich subsurface counterparts. We calculate the binding energy of different adsorbates (O, S, H, and NO) on Pt-terminated and Ti-segregated surfaces of ordered PtTi and Pt(8)Ti subsurface alloys. The binding of these adsorbates is generally stronger on Ti-segregated surfaces than Pt-terminated surfaces. The adsorption-induced Ti surface segregation is determined by two factors: (i) the unfavorable energy penalty for the Ti atom to segregate to the clean surface and (ii) the favorable energy decrease from stronger adsorbate binding on the Ti-segregated surface. The two factors introduce similar magnitude in energy change for the S and NO adsorption on Ti-segregated surfaces of PtTi subsurface alloys. We predict an adsorption-induced Ti surface segregation that is dependent on the atomic configurations of the Ti-segregated surfaces resulting from the competition of the two factors.
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Affiliation(s)
- Wei Chen
- Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois 60208, United States.
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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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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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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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Ozolins V, Grimvall G, Körling M. Phase stabilities in the Pt-W system: Thermodynamic and electronic-structure calculations. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:10364-10374. [PMID: 9977730 DOI: 10.1103/physrevb.51.10364] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wolverton C, Zunger A. Short- and long-range order of the binary Madelung lattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:6876-6891. [PMID: 9977241 DOI: 10.1103/physrevb.51.6876] [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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Pierron-Bohnes V, Kentzinger E, Cadeville MC, Sanchez JM, Caudron R, Solal F, Kozubski R. Experimental determination of pair interactions in a Fe0.804V0.196 single crystal. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:5760-5767. [PMID: 9979486 DOI: 10.1103/physrevb.51.5760] [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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Sluiter MH, Kawazoe Y. Site preference of ternary additions in Ni3Al. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:4062-4073. [PMID: 9979241 DOI: 10.1103/physrevb.51.4062] [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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Dasgupta I, Saha T, Mookerjee A. Augmented-space recursive technique for the analysis of alloy phase stability in random binary alloys. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:3413-3421. [PMID: 9979148 DOI: 10.1103/physrevb.51.3413] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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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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Wolverton C, Zunger A. Comparison of two cluster-expansion methods for the energetics of Pd-V alloys. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:10548-10560. [PMID: 9975152 DOI: 10.1103/physrevb.50.10548] [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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Lu ZW, Zunger A. Unequal wave vectors in short- versus long-range ordering in intermetallic compounds. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:6626-6636. [PMID: 9974616 DOI: 10.1103/physrevb.50.6626] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Lu ZW, Klein BM. Theoretical studies of the stability of ordered A8B compounds. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:5962-5970. [PMID: 9976966 DOI: 10.1103/physrevb.50.5962] [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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Lu ZW, Laks DB, Wei S, Zunger A. First-principles simulated-annealing study of phase transitions and short-range order in transition-metal and semiconductor alloys. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:6642-6661. [PMID: 9974618 DOI: 10.1103/physrevb.50.6642] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Weinberger P, Drchal V, Szunyogh L, Fritscher J, Bennett BI. Electronic and structural properties of Cu-Au alloys. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:13366-13372. [PMID: 10010270 DOI: 10.1103/physrevb.49.13366] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wolverton C. Site substitution of ternary additions to Ni3Al ( gamma ') from electronic-structure calculations. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:12351-12354. [PMID: 10010129 DOI: 10.1103/physrevb.49.12351] [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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Ruban AV, Abrikosov IA, Kats DY, Gorelikov D, Jacobsen KW, Skriver HL. Self-consistent electronic structure and segregation profiles of the Cu-Ni (001) random-alloy surface. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:11383-11396. [PMID: 10009991 DOI: 10.1103/physrevb.49.11383] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wolverton C. Cluster expansions of alloy energetics in ternary intermetallics. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:8627-8642. [PMID: 10009642 DOI: 10.1103/physrevb.49.8627] [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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Ceder G, Garbulsky GD, Avis D, Fukuda K. Ground states of a ternary fcc lattice model with nearest- and next-nearest-neighbor interactions. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:1-7. [PMID: 10009249 DOI: 10.1103/physrevb.49.1] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Amador C, Bozzolo G. Formation energy of disordered alloys from the energetics of ordered compounds. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:956-960. [PMID: 10010398 DOI: 10.1103/physrevb.49.956] [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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Wolverton C, Dreyssé H. Global volume relaxations and phase stability in disordered Pd-Rh alloys. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:5766-5778. [PMID: 10009109 DOI: 10.1103/physrevb.48.5766] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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McCormack R, Asta M, Garbulsky G, Ceder G. hcp Ising model in the cluster-variation approximation. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:6767-6780. [PMID: 10006839 DOI: 10.1103/physrevb.48.6767] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Asta M, McCormack R. Theoretical study of alloy phase stability in the Cd-Mg system. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:748-766. [PMID: 10007930 DOI: 10.1103/physrevb.48.748] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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