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Wang X, Lewis CA, Valeev EF. Efficient evaluation of exact exchange for periodic systems via concentric atomic density fitting. J Chem Phys 2020; 153:124116. [DOI: 10.1063/5.0016856] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Xiao Wang
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
- Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, USA
| | - Cannada A. Lewis
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Edward F. Valeev
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
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2
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Laikov DN. Optimization of atomic density-fitting basis functions for molecular two-electron integral approximations. J Chem Phys 2020; 153:114121. [PMID: 32962362 DOI: 10.1063/5.0014639] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A general procedure for the optimization of atomic density-fitting basis functions is designed with the balance between accuracy and numerical stability in mind. Given one-electron wavefunctions and energies, weights are assigned to the product densities, modeling their contribution to the exchange and second-order correlation energy, and a simple weighted error measure is minimized. Generally contracted Gaussian auxiliary basis sets are optimized to match the wavefunction basis sets [D. N. Laikov, Theor. Chem. Acc. 138, 40 (2019)] for all 102 elements in a scalar-relativistic approximation [D. N. Laikov, J. Chem. Phys. 150, 061103 (2019)].
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Affiliation(s)
- Dimitri N Laikov
- Chemistry Department, Moscow State University, 119991 Moscow, Russia
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3
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Becker M, Sierka M. Density functional theory for molecular and periodic systems using density fitting and continuous fast multipole method: Stress tensor. J Comput Chem 2019; 40:2563-2570. [PMID: 31322769 DOI: 10.1002/jcc.26033] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/09/2019] [Revised: 06/24/2019] [Accepted: 06/27/2019] [Indexed: 11/06/2022]
Abstract
A full implementation of the analytical stress tensor for periodic systems is reported in the TURBOMOLE program package within the framework of Kohn-Sham density functional theory using Gaussian-type orbitals as basis functions. It is the extension of the implementation of analytical energy gradients (Lazarski et al., Journal of Computational Chemistry 2016, 37, 2518-2526) to the stress tensor for the purpose of optimization of lattice vectors. Its key component is the efficient calculation of the Coulomb contribution by combining density fitting approximation and continuous fast multipole method. For the exchange-correlation (XC) part the hierarchical numerical integration scheme (Burow and Sierka, Journal of Chemical Theory and Computation 2011, 7, 3097-3104) is extended to XC weight derivatives and stress tensor. The computational efficiency and favorable scaling behavior of the stress tensor implementation are demonstrated for various model systems. The overall computational effort for energy gradient and stress tensor for the largest systems investigated is shown to be at most two and a half times the computational effort for the Kohn-Sham matrix formation. © 2019 Wiley Periodicals, Inc.
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Affiliation(s)
- Martin Becker
- Otto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität Jena, Löbdergraben 32, Jena, D-07743, Germany
| | - Marek Sierka
- Otto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität Jena, Löbdergraben 32, Jena, D-07743, Germany
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4
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Sun Q, Berkelbach TC, McClain JD, Chan GKL. Gaussian and plane-wave mixed density fitting for periodic systems. J Chem Phys 2017; 147:164119. [DOI: 10.1063/1.4998644] [Citation(s) in RCA: 48] [Impact Index Per Article: 6.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Qiming Sun
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA
| | - Timothy C. Berkelbach
- Department of Chemistry and James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA
| | - James D. McClain
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA
| | - Garnet Kin-Lic Chan
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA
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5
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Grundei MMJ, Burow AM. Random Phase Approximation for Periodic Systems Employing Direct Coulomb Lattice Summation. J Chem Theory Comput 2017; 13:1159-1175. [DOI: 10.1021/acs.jctc.6b01146] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Martin M. J. Grundei
- Department of Chemistry, Ludwig-Maximilians-Universität (LMU) Munich, Butenandtstrasse 7, D-81377 Munich, Germany
| | - Asbjörn M. Burow
- Department of Chemistry, Ludwig-Maximilians-Universität (LMU) Munich, Butenandtstrasse 7, D-81377 Munich, Germany
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6
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Łazarski R, Burow AM, Grajciar L, Sierka M. Density functional theory for molecular and periodic systems using density fitting and continuous fast multipole method: Analytical gradients. J Comput Chem 2016; 37:2518-26. [PMID: 27555218 DOI: 10.1002/jcc.24477] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/23/2016] [Revised: 08/02/2016] [Accepted: 08/04/2016] [Indexed: 11/10/2022]
Abstract
A full implementation of analytical energy gradients for molecular and periodic systems is reported in the TURBOMOLE program package within the framework of Kohn-Sham density functional theory using Gaussian-type orbitals as basis functions. Its key component is a combination of density fitting (DF) approximation and continuous fast multipole method (CFMM) that allows for an efficient calculation of the Coulomb energy gradient. For exchange-correlation part the hierarchical numerical integration scheme (Burow and Sierka, Journal of Chemical Theory and Computation 2011, 7, 3097) is extended to energy gradients. Computational efficiency and asymptotic O(N) scaling behavior of the implementation is demonstrated for various molecular and periodic model systems, with the largest unit cell of hematite containing 640 atoms and 19,072 basis functions. The overall computational effort of energy gradient is comparable to that of the Kohn-Sham matrix formation. © 2016 Wiley Periodicals, Inc.
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Affiliation(s)
- Roman Łazarski
- Otto-Schott-Institut für Materialforschung (OSIM), Friedrich-Schiller-Universität Jena, Löbdergraben 32, Jena, D-07743, Germany
| | - Asbjörn Manfred Burow
- Department of Chemistry, Chair of Theoretical Chemistry, University of Munich (LMU), Butenandtstrasse 7, Munich, D-81377, Germany
| | - Lukáš Grajciar
- Otto-Schott-Institut für Materialforschung (OSIM), Friedrich-Schiller-Universität Jena, Löbdergraben 32, Jena, D-07743, Germany
| | - Marek Sierka
- Otto-Schott-Institut für Materialforschung (OSIM), Friedrich-Schiller-Universität Jena, Löbdergraben 32, Jena, D-07743, Germany.
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7
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Łazarski R, Burow AM, Sierka M. Density Functional Theory for Molecular and Periodic Systems Using Density Fitting and Continuous Fast Multipole Methods. J Chem Theory Comput 2016; 11:3029-41. [PMID: 26575740 DOI: 10.1021/acs.jctc.5b00252] [Citation(s) in RCA: 35] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
An implementation of Kohn-Sham density functional theory within the TURBOMOLE program package with Gaussian-type orbitals (GTO) as basis functions is reported that treats molecular and periodic systems of any dimensionality on an equal footing. Its key component is a combination of density fitting/resolution of identity (DF) approximation and continuous fast multipole method (CFMM) applied for the electronic Coulomb term. This DF-CFMM scheme operates entirely in the direct space and partitions Coulomb interactions into far-field part evaluated using multipole expansions and near-field contribution calculated employing density fitting. Computational efficiency and favorable scaling behavior of our implementation approaching O(N) for the formation of Kohn-Sham matrix is demonstrated for various molecular and periodic systems including three-dimensional models with unit cells containing up to 640 atoms and 19072 GTO basis functions.
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Affiliation(s)
- Roman Łazarski
- Otto-Schott-Institut für Materialforschung (OSIM), Friedrich-Schiller-Universität Jena , Löbdergraben 32, D-07743 Jena, Germany
| | - Asbjörn M Burow
- Chair of Theoretical Chemistry, Department of Chemistry, University of Munich (LMU) , Butenandtstrasse 7, D-81377 Munich, Germany
| | - Marek Sierka
- Otto-Schott-Institut für Materialforschung (OSIM), Friedrich-Schiller-Universität Jena , Löbdergraben 32, D-07743 Jena, Germany
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8
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Narayanan S, Abbas A, Raghunathan SP, Sreekumar K, Kartha CS, Joseph R. Theoretical and experimental investigations on the photoconductivity and nonlinear optical properties of donor–acceptor π conjugated copolymer, poly(2,5-(3,4-ethylenedioxythiophene)-alt-2,7-(9,9-dioctylfluorene)). RSC Adv 2015. [DOI: 10.1039/c4ra13024c] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
Abstract
A new donor–acceptor copolymer, poly(2,5-(3,4-ethylenedioxythiophene)-alt-2,7-(9,9-dioctylfluorene) copolymer with high optical limiting efficiency (0.47 GW cm−2) and photoconductivity (at 75 V μm−1, the photosensitivity was 289 742).
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Affiliation(s)
- Sona Narayanan
- Department of Polymer Science and Rubber Technology
- Cochin University of Science and Technology
- Cochin-682022
- India
| | - Anshad Abbas
- Department of Physics
- Cochin University of Science and Technology
- Cochin-682022
- India
| | | | - Krishnapillai Sreekumar
- Department of Applied Chemistry
- Cochin University of Science and Technology
- Cochin-682022
- India
| | | | - Rani Joseph
- Department of Polymer Science and Rubber Technology
- Cochin University of Science and Technology
- Cochin-682022
- India
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9
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Bulik IW, Chen W, Scuseria GE. Electron correlation in solids via density embedding theory. J Chem Phys 2014; 141:054113. [DOI: 10.1063/1.4891861] [Citation(s) in RCA: 68] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023] Open
Affiliation(s)
| | - Weibing Chen
- Department of Chemistry, Rice University, Houston, Texas 77005, USA
| | - Gustavo E. Scuseria
- Department of Chemistry, Rice University, Houston, Texas 77005, USA
- Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA
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10
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Franchini M, Philipsen PHT, van Lenthe E, Visscher L. Accurate Coulomb Potentials for Periodic and Molecular Systems through Density Fitting. J Chem Theory Comput 2014; 10:1994-2004. [DOI: 10.1021/ct500172n] [Citation(s) in RCA: 95] [Impact Index Per Article: 9.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Mirko Franchini
- Theoretical
Chemistry, VU University Amsterdam, De Boelelaan 1083, NL-1081 HV Amsterdam, The Netherlands
- Scientific Computing & Modelling NV, Theoretical Chemistry, VU University Amsterdam, De Boelelaan 1083, NL-1081 HV Amsterdam, The Netherlands
| | - Pierre Herman Theodoor Philipsen
- Scientific Computing & Modelling NV, Theoretical Chemistry, VU University Amsterdam, De Boelelaan 1083, NL-1081 HV Amsterdam, The Netherlands
| | - Erik van Lenthe
- Scientific Computing & Modelling NV, Theoretical Chemistry, VU University Amsterdam, De Boelelaan 1083, NL-1081 HV Amsterdam, The Netherlands
| | - Lucas Visscher
- Theoretical
Chemistry, VU University Amsterdam, De Boelelaan 1083, NL-1081 HV Amsterdam, The Netherlands
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11
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A theoretical investigation of low energy band gap polymers: polythiophene systems. RESEARCH ON CHEMICAL INTERMEDIATES 2014. [DOI: 10.1007/s11164-014-1612-y] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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12
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A density functional theory study on the most stable ultra long B–N co-doped (5,5) single walled carbon nanotubes. Chem Phys Lett 2012. [DOI: 10.1016/j.cplett.2012.02.050] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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14
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Blowers P, Kim BG. The adsorption of mercury-species on relaxed and rumpled CaO (0 0 1) surfaces investigated by density functional theory. J Mol Model 2010; 17:505-14. [DOI: 10.1007/s00894-010-0741-5] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/26/2009] [Accepted: 05/03/2010] [Indexed: 11/28/2022]
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15
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Burow AM, Sierka M, Mohamed F. Resolution of identity approximation for the Coulomb term in molecular and periodic systems. J Chem Phys 2010; 131:214101. [PMID: 19968331 DOI: 10.1063/1.3267858] [Citation(s) in RCA: 58] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A new formulation of resolution of identity approximation for the Coulomb term is presented, which uses atom-centered basis and auxiliary basis functions and treats molecular and periodic systems of any dimensionality on an equal footing. It relies on the decomposition of an auxiliary charge density into charged and chargeless components. Applying the Coulomb metric under periodic boundary conditions constrains the explicit form of the charged part. The chargeless component is determined variationally and converged Coulomb lattice sums needed for its determination are obtained using chargeless linear combinations of auxiliary basis functions. The lattice sums are partitioned in near- and far-field portions which are treated through an analytical integration scheme employing two- and three-center electron repulsion integrals and multipole expansions, respectively, operating exclusively in real space. Our preliminary implementation within the TURBOMOLE program package demonstrates consistent accuracy of the method across molecular and periodic systems. Using common auxiliary basis sets the errors of the approximation are small, in average about 20 muhartree per atom, for both molecular and periodic systems.
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Affiliation(s)
- Asbjörn M Burow
- Institut für Chemie, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099-D, Germany
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16
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17
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Chou YM, Chen WH, Liang CC. Substituent effects and photo-physical properties in polythiophene and its derivatives: A PBC-DFT study. ACTA ACUST UNITED AC 2009. [DOI: 10.1016/j.theochem.2008.10.005] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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18
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Wang HW, Wang BC, Chen WH, Hayashi M. Localized Gaussian Type Orbital−Periodic Boundary Condition−Density Functional Theory Study of Infinite-Length Single-Walled Carbon Nanotubes with Various Tubular Diameters. J Phys Chem A 2008; 112:1783-90. [DOI: 10.1021/jp074107l] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Houng-Wei Wang
- Center for Condensed Matter Sciences, National Taiwan University, Taipei 106, Taiwan, Department of Chemistry, Tamkang University, Tamsui 251, Taiwan, and Institute for Molecular Sciences, Okazaki, 444-8585, Japan
| | - Bo-Cheng Wang
- Center for Condensed Matter Sciences, National Taiwan University, Taipei 106, Taiwan, Department of Chemistry, Tamkang University, Tamsui 251, Taiwan, and Institute for Molecular Sciences, Okazaki, 444-8585, Japan
| | - Wen-Hao Chen
- Center for Condensed Matter Sciences, National Taiwan University, Taipei 106, Taiwan, Department of Chemistry, Tamkang University, Tamsui 251, Taiwan, and Institute for Molecular Sciences, Okazaki, 444-8585, Japan
| | - Michitoshi Hayashi
- Center for Condensed Matter Sciences, National Taiwan University, Taipei 106, Taiwan, Department of Chemistry, Tamkang University, Tamsui 251, Taiwan, and Institute for Molecular Sciences, Okazaki, 444-8585, Japan
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19
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NAKAI H, HEYD J, SCUSERIA GE. Periodic-Boundary-Condition Calculation using Heyd-Scuseria-Ernzerhof Screened Coulomb Hybrid Functional: Electronic Structure of Anatase and Rutile TiO2. JOURNAL OF COMPUTER CHEMISTRY-JAPAN 2006. [DOI: 10.2477/jccj.5.7] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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20
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Peralta JE, Uddin J, Scuseria GE. Scalar relativistic all-electron density functional calculations on periodic systems. J Chem Phys 2005; 122:84108. [PMID: 15836021 DOI: 10.1063/1.1851973] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Scalar relativistic effects are included in periodic boundary conditions calculations with Gaussian orbitals. This approach is based on the third-order Douglas-Kroll-Hess approximation, allowing the treatment of all electrons on an equal footing. With this methodology, we are able to perform relativistic all-electron density functional calculations using the traditional local spin-density and generalized gradient approximations (GGA), as well as meta-GGA and hybrid density functionals. We present benchmark results for the bulk metals Pd, Ag, Pt, and Au, and the large band gap semiconductors AgF and AgCl.
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Affiliation(s)
- Juan E Peralta
- Department of Chemistry, Rice University, Houston, TX 77005-1892, USA
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21
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Abstract
Crystalline solids and surfaces have become a subject of growing interest. The difficulty of a comprehensive description of a variety of phenomena by a single method has led to the development of many models. These models can be classified as nonperiodic and periodic models. The former include free clusters, saturated clusters, and embedded clusters. The latter two models serve to remove the boundary effects of the free clusters. No perfect avoidance of such effects can be achieved in this way. The cyclic cluster model overcomes this difficulty in a natural way. It is periodic with a finite periodicity. An embedding can take into account a long-range effect in ionic crystals. Previous periodic approaches relied on the large unit cell model, which is related to the supercell approach. For perfect crystals the conventional unit cell approach is a well-known standard. However, its disadvantage is the unphysical periodicity of defects, which is avoided in the cyclic cluster model. The present article presents a description of these models together with selective applications to solid-state systems and surfaces.
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Affiliation(s)
- Karl Jug
- Theoretische Chemie, Universität Hannover, Am Kleinen Felde 30, 30167 Hannover, Germany.
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22
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Trickeya S, Alforda J, Boetggerb J. Methods and Implementation of Robust, High-Precision Gaussian Basis DFT Calculations for Periodic Systems: the GTOFF Code. ACTA ACUST UNITED AC 2004. [DOI: 10.1016/s1380-7323(04)80020-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/22/2023]
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23
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Janetzko F, Bredow T, Jug K. Effects of long-range interactions in cyclic cluster calculations of metal oxides. J Chem Phys 2002. [DOI: 10.1063/1.1473802] [Citation(s) in RCA: 45] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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25
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Improta R, Barone V, Kudin KN, Scuseria GE. Structure and conformational behavior of biopolymers by density functional calculations employing periodic boundary conditions. I. The case of polyglycine, polyalanine, and poly-alpha-aminoisobutyric acid in vacuo. J Am Chem Soc 2001; 123:3311-22. [PMID: 11457067 DOI: 10.1021/ja003680e] [Citation(s) in RCA: 111] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Fully quantum mechanical calculations exploiting periodic boundary conditions (PBC) have been applied to the study of four different regular structures (alpha- and 3(10)-helix, fully extended and repeated gamma-turns) of the infinite polypeptides of glycine, alanine, and alpha-aminoisobutyric acid (Aib) in vacuo. alpha-Helix is predicted to be the most stable conformer for polyalanine and polyglycine, being stabilized over the 3(10)-helix mainly by more favorable dipole-dipole interactions. Contrary to previous suggestions, steric effects and hydrogen-bond strengths are comparable for both helix structures. 3(10)-Helix is preferred for poly-Aib, since in this case alpha-helix is strongly distorted due to unfavorable intrachain repulsions. Extended structures and repeated gamma-turns are much less stable than helix structures for all of the polypeptides examined, mainly due to the absence of favorable long-range interactions. The optimized geometries are in good agreement with the available experimental data and reveal a remarkable dependence on the nature of the residue forming the polypeptides; at the same time the electronic and structural parameters of each residue strongly depend on the secondary structure of the polypeptides.
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Affiliation(s)
- R Improta
- Dipartimento di Chimica, Università Federico II, Complesso Universitario Monte S. Angelo, Via Cintia, I-80126 Napoli, Italy
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26
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Improta R, Barone V, Kudin KN, Scuseria GE. The conformational behavior of polyglycine as predicted by a density functional model with periodic boundary conditions. J Chem Phys 2001. [DOI: 10.1063/1.1337861] [Citation(s) in RCA: 52] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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27
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Snyder JA, Alfonso DR, Jaffe JE, Lin Z, Hess AC, Gutowski M. Periodic Density Functional LDA and GGA Study of CO Adsorption at the (001) Surface of MgO. J Phys Chem B 2000. [DOI: 10.1021/jp000820y] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- James A. Snyder
- Materials Sciences Department, Pacific Northwest National Laboratory, Richland, Washington 99352, Numtek, 1839 E 11th Avenue, Vancouver, BC, Canada V5N 1Y9, and Department of Chemistry, University of Gdańsk, 80-952 Gdańsk, Poland
| | - Dominic R. Alfonso
- Materials Sciences Department, Pacific Northwest National Laboratory, Richland, Washington 99352, Numtek, 1839 E 11th Avenue, Vancouver, BC, Canada V5N 1Y9, and Department of Chemistry, University of Gdańsk, 80-952 Gdańsk, Poland
| | - John E. Jaffe
- Materials Sciences Department, Pacific Northwest National Laboratory, Richland, Washington 99352, Numtek, 1839 E 11th Avenue, Vancouver, BC, Canada V5N 1Y9, and Department of Chemistry, University of Gdańsk, 80-952 Gdańsk, Poland
| | - Zijing Lin
- Materials Sciences Department, Pacific Northwest National Laboratory, Richland, Washington 99352, Numtek, 1839 E 11th Avenue, Vancouver, BC, Canada V5N 1Y9, and Department of Chemistry, University of Gdańsk, 80-952 Gdańsk, Poland
| | - Anthony C. Hess
- Materials Sciences Department, Pacific Northwest National Laboratory, Richland, Washington 99352, Numtek, 1839 E 11th Avenue, Vancouver, BC, Canada V5N 1Y9, and Department of Chemistry, University of Gdańsk, 80-952 Gdańsk, Poland
| | - Maciej Gutowski
- Materials Sciences Department, Pacific Northwest National Laboratory, Richland, Washington 99352, Numtek, 1839 E 11th Avenue, Vancouver, BC, Canada V5N 1Y9, and Department of Chemistry, University of Gdańsk, 80-952 Gdańsk, Poland
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28
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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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29
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Lin Z, Jaffe JE, Hess AC. Multicenter Integration Scheme for Electronic Structure Calculations of Periodic and Nonperiodic Polyatomic Systems. J Phys Chem A 1999. [DOI: 10.1021/jp983668x] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Zijing Lin
- Condensed Matter Theory Group, Material Science Department, Pacific Northwest National Laboratories, Richland, Washington 99352
| | - John E. Jaffe
- Condensed Matter Theory Group, Material Science Department, Pacific Northwest National Laboratories, Richland, Washington 99352
| | - Anthony C. Hess
- Condensed Matter Theory Group, Material Science Department, Pacific Northwest National Laboratories, Richland, Washington 99352
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Brown GE, Henrich VE, Casey WH, Clark DL, Eggleston C, Felmy A, Goodman DW, Grätzel M, Maciel G, McCarthy MI, Nealson KH, Sverjensky DA, Toney MF, Zachara JM. Metal Oxide Surfaces and Their Interactions with Aqueous Solutions and Microbial Organisms. Chem Rev 1999; 99:77-174. [PMID: 11848981 DOI: 10.1021/cr980011z] [Citation(s) in RCA: 470] [Impact Index Per Article: 18.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Gordon E. Brown
- Environmental Molecular Sciences, Laboratory Pacific Northwest National Laboratory, Richland, Washington 99352
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31
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Stefanovich EV, Truong TN. A Simple Method for Incorporating Madelung Field Effects into ab Initio Embedded Cluster Calculations of Crystals and Macromolecules. J Phys Chem B 1998. [DOI: 10.1021/jp9802580] [Citation(s) in RCA: 99] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Eugene V. Stefanovich
- Henry Eyring Center for Theoretical Chemistry, Department of Chemistry, University of Utah, Salt Lake City, Utah 84112
| | - Thanh N. Truong
- Henry Eyring Center for Theoretical Chemistry, Department of Chemistry, University of Utah, Salt Lake City, Utah 84112
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