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The Conundrum of Relaxation Volumes in First-Principles Calculations of Charged Defects in UO2. APPLIED SCIENCES-BASEL 2019. [DOI: 10.3390/app9245276] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
The defect relaxation volumes obtained from density-functional theory (DFT) calculations of charged vacancies and interstitials are much larger than their neutral counterparts, seemingly unphysically large. We focus on UO2 as our primary material of interest, but also consider Si and GaAs to reveal the generality of our results. In this work, we investigate the possible reasons for this and revisit the methods that address the calculation of charged defects in periodic DFT. We probe the dependence of the proposed energy corrections to charged defect formation energies on relaxation volumes and find that corrections such as potential alignment remain ambiguous with regards to its contribution to the charged defect relaxation volume. We also investigate the volume for the net neutral defect reactions comprising individual charged defects, and find that the aggregate formation volumes have reasonable magnitudes. This work highlights the issue that, as is well-known for defect formation energies, the defect formation volumes depend on the choice of reservoir. We show that considering the change in volume of the electron reservoir in the formation reaction of the charged defects, analogous to how volumes of atoms are accounted for in defect formation volumes, can renormalize the formation volumes of charged defects such that they are comparable to neutral defects. This approach enables the description of the elastic properties of isolated charged defects within an overall neutral material.
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Grieshammer S, Zacherle T, Martin M. Entropies of defect formation in ceria from first principles. Phys Chem Chem Phys 2013; 15:15935-42. [DOI: 10.1039/c3cp51913a] [Citation(s) in RCA: 39] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Mackrodt WC, Williamson EA, Williams D, Allan NL. A first-principles Hartree-Fock description of MnO at high pressures. ACTA ACUST UNITED AC 2009. [DOI: 10.1080/13642819808206405] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- W. C. Mackrodt
- a School of Chemistry, University of St Andrews , St Andrews Fife, KY16 9ST, Scotland
| | - E.-A. Williamson
- a School of Chemistry, University of St Andrews , St Andrews Fife, KY16 9ST, Scotland
| | - D. Williams
- a School of Chemistry, University of St Andrews , St Andrews Fife, KY16 9ST, Scotland
| | - N. L. Allan
- b School of Chemistry, University of Bristol , Cantock's Close, Bristol , BS8 ITS , England
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Sahni VC, Jacobs PWM. A calculation of the vibrational entropy of anion Frenkel defects in fluorite crystals. ACTA ACUST UNITED AC 2007. [DOI: 10.1080/01418618208236933] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Rowell DK, Sangster MJL. Calculations of intrinsic defect energies in the alkali halides. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/14/21/009] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Sahni VC, Jacobs PWM. Interatomic potential and phonon frequencies in α and β phases of lead fluoride. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/16/9/001] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Jacobs PWM, Nerenberg MAH, Govindarajan J, Haridasan TM. The entropy of formation of anion Frenkel defects in fluorites: a quasiharmonic calculation for calcium fluoride. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/15/20/010] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Leslie M, Gillan NJ. The energy and elastic dipole tensor of defects in ionic crystals calculated by the supercell method. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/18/5/005] [Citation(s) in RCA: 428] [Impact Index Per Article: 17.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Gillan MJ, Harding JH, Leslie M. A comparison of methods for calculating defect entropies in ionic crystals. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/21/32/002] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Chakraborty S. Rates and mechanisms of Fe-Mg interdiffusion in olivine at 980°-1300°C. ACTA ACUST UNITED AC 1997. [DOI: 10.1029/97jb00208] [Citation(s) in RCA: 244] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Frank W, Breier U, Elsässer C, Fähnle M. First-Principles Calculations of Absolute Concentrations and Self-Diffusion Constants of Vacancies in Lithium. PHYSICAL REVIEW LETTERS 1996; 77:518-521. [PMID: 10062831 DOI: 10.1103/physrevlett.77.518] [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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Hirsch LM, Shankland TJ. Equilibrium point defect concentrations in MgO: Understanding the mechanisms of conduction and diffusion and the role of Fe impurities. ACTA ACUST UNITED AC 1991. [DOI: 10.1029/90jb02175] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Fisher AJ, Hayes W, Stoneham AM. Structure of the self-trapped exciton in quartz. PHYSICAL REVIEW LETTERS 1990; 64:2667-2670. [PMID: 10041779 DOI: 10.1103/physrevlett.64.2667] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Dwivedi A, Cormack AN. A computer simulation study of the defect structure of calcia-stabilized zirconia. ACTA ACUST UNITED AC 1990. [DOI: 10.1080/01418619008235554] [Citation(s) in RCA: 137] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Bollmann W, Uvarov NF, Hairetdinov EF. Estimation of point defect parameters of solids on the basis of a defect formation model of melting (II). Vacancy formation enthalpy in relation to the heat of fusion and the increase of volume due to melting. CRYSTAL RESEARCH AND TECHNOLOGY 1989. [DOI: 10.1002/crat.2170240418] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Rabier J, Puls MP. On the core structures of edge dislocations in NaCl and MgO. Consequences for the core configurations of dislocation dipoles. ACTA ACUST UNITED AC 1989. [DOI: 10.1080/01418618908209822] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Calculation of Defect Processes at High Temperature. ACTA ACUST UNITED AC 1986. [DOI: 10.1007/978-1-4757-0761-8_13] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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Jackson RA, Murray AD, Harding JH, Catlow CRA. The calculation of defect parameters in UO2. ACTA ACUST UNITED AC 1986. [DOI: 10.1080/01418618608242805] [Citation(s) in RCA: 101] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Corish J, Catlow C, Jacobs P. The relationship between experimental and calculated point defect energies. ACTA ACUST UNITED AC 1981. [DOI: 10.1051/jphyslet:019810042015036900] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]
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