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Ye YY, Chan CT, Ho KM, Harmon B. Total Energy Calculations for Structural Phase Transformations. ACTA ACUST UNITED AC 2016. [DOI: 10.1177/109434209000400311] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
The structural integrity and physical properties of crys talline solids are frequently limited or enhanced by the occurrence of phase transformations. Martensitic trans formations involve the collective displacement of atoms from one ordered state to another. Modern methods to determine the microscopic electronic changes as the atoms move are now accurate enough to evaluate the very small energy differences involved. Extensive first principles calculations for the prototypical Martensitic transformation from body-centered cubic (bcc) to close- packed 9R structure in sodium metal are described. The minimum energy coordinate or configuration path be tween the bcc and 9R structures is determined as well as paths to other competing close-packed structures. The energy barriers and important anharmonic interactions are identified and general conclusions drawn. The calcu lational methods used to solve the Schrödinger equa tion include pseudopotentials, fast Fourier transforms, efficient matrix diagonalization, and supercells with many atoms.
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Affiliation(s)
- Y.-Y. Ye
- AMES LABORATORY AND PHYSICS DEPARTMENT IOWA STATE UNIVERSITY
AMES, IOWA 50011
| | - C.-T. Chan
- AMES LABORATORY AND PHYSICS DEPARTMENT IOWA STATE UNIVERSITY
AMES, IOWA 50011
| | - K.-M. Ho
- AMES LABORATORY AND PHYSICS DEPARTMENT IOWA STATE UNIVERSITY
AMES, IOWA 50011
| | - B.N. Harmon
- AMES LABORATORY AND PHYSICS DEPARTMENT IOWA STATE UNIVERSITY
AMES, IOWA 50011
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Karasiev VV, Sjostrom T, Trickey SB. Comparison of density functional approximations and the finite-temperature Hartree-Fock approximation in warm dense lithium. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 86:056704. [PMID: 23214903 DOI: 10.1103/physreve.86.056704] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/04/2012] [Revised: 07/19/2012] [Indexed: 06/01/2023]
Abstract
We compare the behavior of the finite-temperature Hartree-Fock model with that of thermal density functional theory using both ground-state and temperature-dependent approximate exchange functionals. The test system is bcc Li in the temperature-density regime of warm dense matter (WDM). In this exchange-only case, there are significant qualitative differences in results from the three approaches. Those differences may be important for Born-Oppenheimer molecular dynamics studies of WDM with ground-state approximate density functionals and thermal occupancies. Such calculations require reliable regularized potentials over a demanding range of temperatures and densities. By comparison of pseudopotential and all-electron results at T=0 K for small Li clusters of local bcc symmetry and bond lengths equivalent to high density bulk Li, we determine the density ranges for which standard projector augmented wave (PAW) and norm-conserving pseudopotentials are reliable. Then, we construct and use all-electron PAW data sets with a small cutoff radius that are valid for lithium densities up to at least 80 g/cm{3}.
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Affiliation(s)
- Valentin V Karasiev
- Quantum Theory Project, Department of Physics, P.O. Box 118435, University of Florida, Gainesville, Florida 32611-8435, USA.
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Wilson RB, Riffe DM. An embedded-atom-method model for alkali-metal vibrations. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2012; 24:335401. [PMID: 22836198 DOI: 10.1088/0953-8984/24/33/335401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
We present an embedded-atom-method (EAM) model that accurately describes the vibrational dynamics in the alkali metals Li, Na, K, Rb and Cs. The bulk dispersion curves, frequency-moment Debye temperatures and temperature-dependent entropy Debye temperatures are all in excellent agreement with experimental results. The model is also well suited for studying surface vibrational dynamics in these materials, as illustrated by calculations for the Na(110) surface.
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Affiliation(s)
- R B Wilson
- Physics Department, Utah State University, Logan, UT 84322-4415, USA
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Seriani N. Ab initio thermodynamics of lithium oxides: from bulk phases to nanoparticles. NANOTECHNOLOGY 2009; 20:445703. [PMID: 19801778 DOI: 10.1088/0957-4484/20/44/445703] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
Lithium ion batteries are nowadays key devices for energy storage, and a great research effort is under way to develop and apply new materials. Recently, new approaches have been proposed that rely on the reversible formation of either Li2O or Li2O2 at the electrodes. The details of their formation and dissolution are, however, still unclear. As a first step towards the understanding of these processes, bulk lithium oxides, their surfaces and their nanoparticles have been here investigated by density functional theory and ab initio thermodynamics. At a pressure of 1 atmosphere of oxygen, Li2O2 is the stable bulk phase below 5 K, where a transition to Li2O takes place. Wulff's construction predicts an octahedral shape for Li2O nanoparticles and the form of a hexagonal prism for Li2O2. By taking into account the effect of the surfaces, a size-dependent phase diagram is calculated. At an oxygen pressure of 1 atmosphere and a temperature of 300 K, Li2O is the stable phase for particles with a diameter larger than approximately 2.5 nm. This size-dependent oxidation behavior of lithium should be taken into account in the design of nanostructured oxygen cathodes.
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Affiliation(s)
- Nicola Seriani
- Fakultät für Physik, Universität Wien, Sensengasse 8/12, A-1090 Wien, Austria.
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Su JW, Burnette RR. First principles investigation of noncovalent complexation: a [2.2.2]-cryptand ion-binding selectivity study. Chemphyschem 2008; 9:1989-96. [PMID: 18792032 DOI: 10.1002/cphc.200800376] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
A first principles methodology, aimed at understanding the roles of molecular conformation and energetics in host-guest binding interactions, is developed and tested on a system that pushes the practical limits of ab initio methods. The binding behavior between the [2.2.2]-cryptand host (4,7,13,16,21,24-hexaoxa-1,10-diaza-bicyclo[8.8.8]hexacosane) and alkali metal cations (Li(+), Na(+), and K(+)) in gas, water, methanol, and acetonitrile is characterized. Hartree-Fock and density functional theory methods are used in concert with crystallographic information to identify gas phase, energy-minimized conformations. Gas phase free energies of binding, with vibrational contributions, are compared to solution-state binding constants through relative binding selectivity analysis. Calculated relative binding free energies qualitatively correlated with solution state experiments only after gas phase metal desolvation is considered. The B3LYP exchange-correlation functional improves theoretical correlations with experimental relative binding free energies. The relevance of gas phase calculations towards understanding binding in condensed phases is discussed. Natural bond orbital methods highlights previously unidentified intramolecular and intermolecular M(+)(222) chemistries, such as an intramolecular n'(O)-->sigma*(CH) hydrogen bond.
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Affiliation(s)
- Joe W Su
- School of Pharmacy, University of Wisconsin, 777 Highland Ave., Madison, WI 53705, USA
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Kronik L, Vasiliev I, Jain M, Chelikowsky JR. Ab initiostructures and polarizabilities of sodium clusters. J Chem Phys 2001. [DOI: 10.1063/1.1390524] [Citation(s) in RCA: 56] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Neaton JB, Ashcroft NW. On the constitution of sodium at higher densities. PHYSICAL REVIEW LETTERS 2001; 86:2830-2833. [PMID: 11290050 DOI: 10.1103/physrevlett.86.2830] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/30/2000] [Indexed: 05/23/2023]
Abstract
Using density functional theory the atomic and electronic structures of sodium are predicted to depart substantially from those expected of simple metals for r(s)<2.48 ( p>130 GPa). Newly predicted phases include those with low structural symmetry and semimetallic electronic properties (including zero-gap semiconducting limiting behavior), and even those that raise the possibility of superconductivity, all at currently achievable pressures. Important differences emerge between sodium and lithium at high densities, and these are attributable to corresponding differences in their respective cores.
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Affiliation(s)
- J B Neaton
- Laboratory of Atomic and Solid State Physics and Cornell Center for Materials Research, Cornell University, Ithaca, NY 14853-2501, USA
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Tugluoglu N, Mutlu RH. Effect of zero-point corrections and k-point sampling on the structural stability determinations of alkali metals. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:10253-10256. [PMID: 9984796 DOI: 10.1103/physrevb.54.10253] [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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Yao G, Xu JG, Wang XW. Pseudopotential variational quantum Monte Carlo approach to bcc lithium. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:8393-8397. [PMID: 9984511 DOI: 10.1103/physrevb.54.8393] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Engel GE, Pickett WE. Investigation of density functionals to predict both ground-state properties and band structures. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:8420-8429. [PMID: 9984514 DOI: 10.1103/physrevb.54.8420] [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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Zakharov O, Cohen ML. Theory of structural, electronic, vibrational, and superconducting properties of high-pressure phases of sulfur. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:12572-12578. [PMID: 9980416 DOI: 10.1103/physrevb.52.12572] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Mutlu RH. Effect of nonlocal corrections to the local-density approximation on total-energy calculations of K, Rb, and Cs. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:1441-1443. [PMID: 9981189 DOI: 10.1103/physrevb.52.1441] [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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Fiolhais C, Perdew JP, Armster SQ, MacLaren JM, Brajczewska M. Dominant density parameters and local pseudopotentials for simple metals. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:14001-14011. [PMID: 9978325 DOI: 10.1103/physrevb.51.14001] [Citation(s) in RCA: 101] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Quassowski S, Hermann K. Theory of lithium islands and monolayers: Electronic structure and stability. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:2457-2466. [PMID: 9979000 DOI: 10.1103/physrevb.51.2457] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Lynch DL, Troullier N, Kress JD, Collins LA. Quantum molecular dynamics simulations of liquid alkalies. J Chem Phys 1994. [DOI: 10.1063/1.468330] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Breier U, Frank W, Elsässer C, Fähnle M, Seeger A. Properties of monovacancies and self-interstitials in bcc Na: An ab initio pseudopotential study. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:5928-5936. [PMID: 9976961 DOI: 10.1103/physrevb.50.5928] [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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Kawai R, Tombrello JF, Weare JH. Li5 as a pseudorotating planar cluster. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:4236-4239. [PMID: 9910727 DOI: 10.1103/physreva.49.4236] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Frank W, Breier U, Elsässer C, Fähnle M. Properties of monovacancies and self-interstitials in bcc Li: An ab initi pseudopotential study. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:7676-7678. [PMID: 10006939 DOI: 10.1103/physrevb.48.7676] [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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Yang LH, Smith AP, Benedek R, Koelling DD. Effect of semicore banding on heavy-alkali-metal lattice constants: Corrections to the frozen-core approximation. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:16101-16106. [PMID: 10006030 DOI: 10.1103/physrevb.47.16101] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Cho JH, Ihm SH, Kang MH. Pseudopotential study of the structural properties of bulk Li. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:14020-14022. [PMID: 10005740 DOI: 10.1103/physrevb.47.14020] [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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Takada Y. Compressibility and spin susceptibility of the alkali metals in the effective-potential expansion method: Competition between many-body and band effects in charge and spin responses. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:3482-3494. [PMID: 10006446 DOI: 10.1103/physrevb.47.3482] [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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Cho JH, Kang MH. Bulk structural properties of Mo: Plane-wave-basis pseudopotential study with a partial-core-correction scheme. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:2979-2982. [PMID: 10006373 DOI: 10.1103/physrevb.47.2979] [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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Boettger JC, Trickey SB, Nobel JA. Comment on "Total-energy calculations of solid H, Li, Na, K, Rb, and Cs". PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:7503-7506. [PMID: 10000541 DOI: 10.1103/physrevb.45.7503] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Nobel JA, Trickey SB, Blaha P, Schwarz K. Low-pressure crystalline phases of lithium. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:5012-5014. [PMID: 10002145 DOI: 10.1103/physrevb.45.5012] [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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Boettger JC, Trickey SB. Quantum size effects in equilibrium lithium ultrathin layers. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:1363-1372. [PMID: 10001614 DOI: 10.1103/physrevb.45.1363] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Liu AY, Cohen ML. Electron-phonon coupling in bcc and 9R lithium. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:9678-9684. [PMID: 9998954 DOI: 10.1103/physrevb.44.9678] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Schwarz W, Blaschko O, Gorgas I. bcc instability of lithium at low temperatures. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:6785-6790. [PMID: 9998553 DOI: 10.1103/physrevb.44.6785] [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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Röthlisberger U, Andreoni W. Structural and electronic properties of sodium microclusters (n=2–20) at low and high temperatures: New insights fromabinitiomolecular dynamics studies. J Chem Phys 1991. [DOI: 10.1063/1.460096] [Citation(s) in RCA: 303] [Impact Index Per Article: 9.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Qian GX, Weinert M, Fernando GW, Davenport JW. First-principles calculation of the activation energy for diffusion in liquid sodium. PHYSICAL REVIEW LETTERS 1990; 64:1146-1149. [PMID: 10041311 DOI: 10.1103/physrevlett.64.1146] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Smith HG, Berliner R, Jorgensen JD, Nielsen M, Trivisonno J. Pressure effects on the martensitic transformation in metallic lithium. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:1231-1234. [PMID: 9993828 DOI: 10.1103/physrevb.41.1231] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Alouani M, Christensen NE, Syassen K. Calculated ground-state and optical properties of potassium under pressure. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:8096-8106. [PMID: 9947514 DOI: 10.1103/physrevb.39.8096] [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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Woodward C, Min BI, Benedek R, Garner J. Electronic-structure calculation for metals by local optimization. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:4853-4861. [PMID: 9948871 DOI: 10.1103/physrevb.39.4853] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Quantum Theory of Structure: sp-Bonded Systems. ACTA ACUST UNITED AC 1989. [DOI: 10.1016/b978-0-444-87478-8.50007-4] [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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