1
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Liang YH, Ye HZ, Berkelbach TC. Can Spin-Component Scaled MP2 Achieve kJ/mol Accuracy for Cohesive Energies of Molecular Crystals? J Phys Chem Lett 2023; 14:10435-10441. [PMID: 37956873 DOI: 10.1021/acs.jpclett.3c02411] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2023]
Abstract
Attaining kJ/mol accuracy in cohesive energy for molecular crystals is a persistent challenge in computational materials science. In this study, we evaluate second-order Møller-Plesset perturbation theory (MP2) and its spin-component scaled models for calculating cohesive energies for 23 molecular crystals (X23 data set). Using periodic boundary conditions and Brillouin zone sampling, we converge results to the thermodynamic and complete basis set limits, achieving an accuracy of about 2 kJ/mol (0.5 kcal/mol), which is rarely achieved in previous MP2 calculations for molecular crystals. When compared to experimental data, our results have a mean absolute error of 12.9 kJ/mol, comparable to Density Functional Theory with the PBE functional and TS dispersion correction. By separately scaling the opposite-spin and same-spin correlation energy components, using predetermined parameters, we reduce the mean absolute error to 9.5 kJ/mol. Further fine-tuning of these scaling parameters specifically for the X23 data set brings the mean absolute error down to 7.5 kJ/mol.
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Affiliation(s)
- Yu Hsuan Liang
- Department of Chemistry, Columbia University, New York, New York 10027, United States
| | - Hong-Zhou Ye
- Department of Chemistry, Columbia University, New York, New York 10027, United States
| | - Timothy C Berkelbach
- Department of Chemistry, Columbia University, New York, New York 10027, United States
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2
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Mohsseni Ahangar R, Farmanzadeh D. O-doping effects on the adsorption and detection of acetaldehyde and ethylene oxide on phosphorene monolayer: A DFT investigation. Chem Phys Lett 2023. [DOI: 10.1016/j.cplett.2023.140315] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
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3
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Goldzak T, Wang X, Ye HZ, Berkelbach TC. Accurate thermochemistry of covalent and ionic solids from spin-component-scaled MP2. J Chem Phys 2022; 157:174112. [PMID: 36347707 PMCID: PMC9637026 DOI: 10.1063/5.0119633] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/09/2022] [Accepted: 10/11/2022] [Indexed: 11/14/2022] Open
Abstract
We study the performance of spin-component-scaled second-order Møller-Plesset perturbation theory (SCS-MP2) for the prediction of the lattice constant, bulk modulus, and cohesive energy of 12 simple, three-dimensional covalent and ionic semiconductors and insulators. We find that SCS-MP2 and the simpler scaled opposite-spin MP2 (SOS-MP2) yield predictions that are significantly improved over the already good performance of MP2. Specifically, when compared to experimental values with zero-point vibrational corrections, SCS-MP2 (SOS-MP2) yields mean absolute errors of 0.015 (0.017) Å for the lattice constant, 3.8 (3.7) GPa for the bulk modulus, and 0.06 (0.08) eV for the cohesive energy, which are smaller than those of leading density functionals by about a factor of two or more. We consider a reparameterization of the spin-scaling parameters and find that the optimal parameters for these solids are very similar to those already in common use in molecular quantum chemistry, suggesting good transferability and reliable future applications to surface chemistry on insulators.
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Affiliation(s)
- Tamar Goldzak
- Department of Chemistry, Columbia University, New York, New York 10027, USA
| | - Xiao Wang
- Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, USA
| | - Hong-Zhou Ye
- Department of Chemistry, Columbia University, New York, New York 10027, USA
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4
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Wang Y, Ni Z, Neese F, Li W, Guo Y, Li S. Cluster-in-Molecule Method Combined with the Domain-Based Local Pair Natural Orbital Approach for Electron Correlation Calculations of Periodic Systems. J Chem Theory Comput 2022; 18:6510-6521. [PMID: 36240189 DOI: 10.1021/acs.jctc.2c00412] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The cluster-in-molecule (CIM) method was extended to systems with periodic boundary conditions (PBCs) in a previous work (PBC-CIM) [J. Chem. Theory Comput.2019, 15, 2933], which is able to compute the electronic structures of periodic systems at second-order Møller-Plesset perturbation theory (MP2) and coupled cluster singles and doubles (CCSD) levels. However, the high computational costs of CCSD with respect to the size of clusters limit the usage of PBC-CIM to crystals with small or medium unit cells. In this work, we further develop the PBC-CIM method by employing the domain-based local pair natural orbital (DLPNO) methods for the electron correlation calculations of clusters to reduce the computational costs. The combined approach allows CCSD with perturbative triples, denoted as CCSD(T), to be computationally available for accurate descriptions of periodic systems. The distant-pair correction is also implemented to improve the accuracy of PBC-CIM. As in the molecular cases, the distant pair correction significantly improves the accuracy of various PBC-CIM methods with few additional costs. The PBC-CIM-DLPNO-CCSD(T) approach has been applied to investigate the optimized lattice parameter of the cubic LiCl crystal and two adsorption problems (CO on the NaCl(100) surface and H2O on the h-BN surface). The results show that the CIM-DLPNO-CCSD(T) method offers accurate and efficient descriptions for the studied systems. Another application to the cohesive energy of the acetic acid crystal reveals that large basis sets are necessary for reliable calculations on the cohesive energies of molecular crystals.
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Affiliation(s)
- Yuqi Wang
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing210023, P. R. China
| | - Zhigang Ni
- College of Material, Chemistry and Chemical Engineering, Key Laboratory of Organosilicon Chemistry and Material Technology of Ministry of Education, Hangzhou Normal University, Hangzhou311121, P. R. China
| | - Frank Neese
- Max Planck Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, Mülheim an der RuhrD-45470, Germany
| | - Wei Li
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing210023, P. R. China
| | - Yang Guo
- Qingdao Institute for Theoretical and Computational Sciences, Shandong University, Qingdao, Shandong266237, P. R. China
| | - Shuhua Li
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing210023, P. R. China
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5
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Neufeld VA, Ye HZ, Berkelbach TC. Ground-State Properties of Metallic Solids from Ab Initio Coupled-Cluster Theory. J Phys Chem Lett 2022; 13:7497-7503. [PMID: 35939802 DOI: 10.1021/acs.jpclett.2c01828] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/15/2023]
Abstract
Metallic solids are an enormously important class of materials, but they are a challenging target for accurate wave function-based electronic structure theories and have not been studied in great detail by such methods. Here, we use coupled-cluster theory with single and double excitations (CCSD) to study the structure of solid lithium and aluminum using optimized Gaussian basis sets. We calculate the equilibrium lattice constant, bulk modulus, and cohesive energy and compare them to experimental values, finding accuracy comparable to common density functionals. Because the quantum chemical "gold standard" CCSD(T) (CCSD with perturbative triple excitations) is inapplicable to metals in the thermodynamic limit, we test two approximate improvements to CCSD, which are found to improve the results.
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Affiliation(s)
- Verena A Neufeld
- Department of Chemistry, Columbia University, New York, New York 10027, United States
| | - Hong-Zhou Ye
- Department of Chemistry, Columbia University, New York, New York 10027, United States
| | - Timothy C Berkelbach
- Department of Chemistry, Columbia University, New York, New York 10027, United States
- Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, United States
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6
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Bintrim SJ, Berkelbach TC, Ye HZ. Integral-Direct Hartree-Fock and Møller-Plesset Perturbation Theory for Periodic Systems with Density Fitting: Application to the Benzene Crystal. J Chem Theory Comput 2022; 18:5374-5381. [PMID: 35969856 DOI: 10.1021/acs.jctc.2c00640] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We present an algorithm and implementation of integral-direct, density-fitted Hartree-Fock (HF) and second-order Møller-Plesset perturbation theory (MP2) for periodic systems. The new code eliminates the formerly prohibitive storage requirements and allows us to study systems 1 order of magnitude larger than before at the periodic MP2 level. We demonstrate the significance of the development by studying the benzene crystal in both the thermodynamic limit and the complete basis set limit, for which we predict an MP2 cohesive energy of -72.8 kJ/mol, which is about 10-15 kJ/mol larger in magnitude than all previously reported MP2 calculations. Compared to the best theoretical estimate from literature, several modified MP2 models approach chemical accuracy in the predicted cohesive energy of the benzene crystal and hence may be promising cost-effective choices for future applications on molecular crystals.
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Affiliation(s)
- Sylvia J Bintrim
- Department of Chemistry, Columbia University, New York, New York 10027, United States
| | - Timothy C Berkelbach
- Department of Chemistry, Columbia University, New York, New York 10027, United States.,Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, United States
| | - Hong-Zhou Ye
- Department of Chemistry, Columbia University, New York, New York 10027, United States
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7
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Christlmaier EM, Kats D, Alavi A, Usvyat D. Full Configuration Interaction Quantum Monte Carlo treatment of fragments embedded in a periodic mean field. J Chem Phys 2022; 156:154107. [DOI: 10.1063/5.0084040] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present an embedded fragment approach for high-level quantum chemical calculations on local features in periodic systems. The fragment is defined as a set of localized orbitals (occupied and virtual) corresponding to a converged periodic Hartree-Fock solution. These orbitals serve as the basis for the in-fragment post-Hartree Fock treatment. The embedding field for the fragment, consisting of the Coulomb and exchange potential from the rest of the crystal, is included in the fragment's one-electron Hamiltonian. As an application of the embedded fragment approach we investigate the performanceof full configuration interaction quantum Monte Carlo (FCIQMC) with the adaptive shift. As the orbital choice we use the natural orbitals from the distinguishable cluster method with singles and doubles. FCIQMC is a stochastic approximation to the full CI method and can be routinely applied to much larger active spaces than the latter. This makes this method especially attractive in the context of open shell defects in crystals, where fragments of adequate size can be ratherlarge. As a test case we consider dissociation of a fluorine atom from a fluorographane surface. This process poses a challenge for high-level electronic structure models as both the static and dynamic correlations are essential here. Furthermore the active space for an adequate fragment (32 electrons in 173 orbitals) is already quite large even for FCIQMC. Despite this, FCIQMC delivers accurate dissociation and total energies.
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Affiliation(s)
| | - Daniel Kats
- Max-Planck-Institute for Solid State Research, Germany
| | - Ali Alavi
- Max-Planck-Institute for Solid State Research, Germany
| | - Denis Usvyat
- Institute of Chemistry, Humboldt University of Berlin, Germany
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8
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Ye HZ, Berkelbach TC. Correlation-Consistent Gaussian Basis Sets for Solids Made Simple. J Chem Theory Comput 2022; 18:1595-1606. [PMID: 35192359 DOI: 10.1021/acs.jctc.1c01245] [Citation(s) in RCA: 15] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The rapidly growing interest in simulating condensed-phase materials using quantum chemistry methods calls for a library of high-quality Gaussian basis sets suitable for periodic calculations. Unfortunately, most standard Gaussian basis sets commonly used in molecular simulation show significant linear dependencies when used in close-packed solids, leading to severe numerical issues that hamper the convergence to the complete basis set (CBS) limit, especially in correlated calculations. In this work, we revisit Dunning's strategy for construction of correlation-consistent basis sets and examine the relationship between accuracy and numerical stability in periodic settings. We find that limiting the number of primitive functions avoids the appearance of problematic small exponents while still providing smooth convergence to the CBS limit. As an example, we generate double-, triple-, and quadruple-ζ correlation-consistent Gaussian basis sets for periodic calculations with Goedecker-Teter-Hutter (GTH) pseudopotentials. Our basis sets cover the main-group elements from the first three rows of the periodic table. Especially for atoms on the left side of the periodic table, our basis sets are less diffuse than those used in molecular calculations. We verify the fast and reliable convergence to the CBS limit in both Hartree-Fock and post-Hartree-Fock (MP2) calculations, using a diverse test set of 19 semiconductors and insulators.
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Affiliation(s)
- Hong-Zhou Ye
- Department of Chemistry, Columbia University, New York, New York 10027, United States
| | - Timothy C Berkelbach
- Department of Chemistry, Columbia University, New York, New York 10027, United States.,Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, United States
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9
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Queiroz MH, Alves TV, Rivelino R. A theoretical screening of the O H⋅⋅⋅π interaction between water and benzene using density-functional approaches: Effects of nonlocal exchange and long-range dispersion corrections in the true minimum. COMPUT THEOR CHEM 2021. [DOI: 10.1016/j.comptc.2021.113464] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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10
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Pham NNT, Han SH, Park JS, Lee SG. Optical and Electronic Properties of Organic NIR-II Fluorophores by Time-Dependent Density Functional Theory and Many-Body Perturbation Theory: GW-BSE Approaches. NANOMATERIALS (BASEL, SWITZERLAND) 2021; 11:2293. [PMID: 34578610 PMCID: PMC8466807 DOI: 10.3390/nano11092293] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 08/02/2021] [Revised: 08/30/2021] [Accepted: 09/01/2021] [Indexed: 11/16/2022]
Abstract
Organic-molecule fluorophores with emission wavelengths in the second near-infrared window (NIR-II, 1000-1700 nm) have attracted substantial attention in the life sciences and in biomedical applications because of their excellent resolution and sensitivity. However, adequate theoretical levels to provide efficient and accurate estimations of the optical and electronic properties of organic NIR-II fluorophores are lacking. The standard approach for these calculations has been time-dependent density functional theory (TDDFT). However, the size and large excitonic energies of these compounds pose challenges with respect to computational cost and time. In this study, we used the GW approximation combined with the Bethe-Salpeter equation (GW-BSE) implemented in many-body perturbation theory approaches based on density functional theory. This method was used to perform calculations of the excited states of two NIR molecular fluorophores (BTC980 and BTC1070), going beyond TDDFT. In this study, the optical absorption spectra and frontier molecular orbitals of these compounds were compared using TDDFT and GW-BSE calculations. The GW-BSE estimates showed excellent agreement with previously reported experimental results.
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Affiliation(s)
- Nguyet N. T. Pham
- School of Chemical Engineering, Pusan National University, Busan 46241, Korea; (N.N.T.P.); (S.H.H.)
| | - Seong Hun Han
- School of Chemical Engineering, Pusan National University, Busan 46241, Korea; (N.N.T.P.); (S.H.H.)
| | - Jong S. Park
- School of Chemical Engineering, Pusan National University, Busan 46241, Korea; (N.N.T.P.); (S.H.H.)
- Department of Organic Material Science and Engineering, Pusan National University, Busan 46241, Korea
| | - Seung Geol Lee
- School of Chemical Engineering, Pusan National University, Busan 46241, Korea; (N.N.T.P.); (S.H.H.)
- Department of Organic Material Science and Engineering, Pusan National University, Busan 46241, Korea
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11
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Sharma S, Beylkin G. Efficient Evaluation of Two-Center Gaussian Integrals in Periodic Systems. J Chem Theory Comput 2021; 17:3916-3922. [PMID: 34061523 DOI: 10.1021/acs.jctc.0c01195] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
By using Poisson's summation formula, we calculate periodic integrals over Gaussian basis functions by partitioning the lattice summations between the real and reciprocal space, where both sums converge exponentially fast with a large exponent. We demonstrate that the summation can be performed efficiently to calculate two-center Gaussian integrals over various kernels including overlap, kinetic, and Coulomb. The summation in real space is performed using an efficient flavor of the McMurchie-Davidson recurrence relation. The expressions for performing summation in the reciprocal space are also derived and implemented. The algorithm for reciprocal space summation allows us to reuse several terms and leads to a significant improvement in efficiency when highly contracted basis functions with large exponents are used. We find that the resulting algorithm is only between a factor of 5 and 15 slower than that for molecular integrals, indicating the very small number of terms needed in both the real and reciprocal space summations. An outline of the algorithm for calculating three-center Coulomb integrals is also provided.
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Affiliation(s)
- Sandeep Sharma
- Department of Chemistry, University of Colorado, Boulder, Boulder, Colorado 80302, United States
| | - Gregory Beylkin
- Department of Applied Mathematics, University of Colorado, Boulder, Boulder, Colorado 80309, United States
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12
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Barcza G, Ivády V, Szilvási T, Vörös M, Veis L, Gali Á, Legeza Ö. DMRG on Top of Plane-Wave Kohn-Sham Orbitals: A Case Study of Defected Boron Nitride. J Chem Theory Comput 2021; 17:1143-1154. [PMID: 33435672 DOI: 10.1021/acs.jctc.0c00809] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Abstract
In this paper, we analyze the numerical aspects of the inherent multireference density matrix renormalization group (DMRG) calculations on top of the periodic Kohn-Sham density functional theory using the complete active space approach. The potential of the framework is illustrated by studying hexagonal boron nitride nanoflakes embedding a charged single boron vacancy point defect by revealing a vertical energy spectrum with a prominent multireference character. We investigate the consistency of the DMRG energy spectrum from the perspective of sample size, basis size, and active space selection protocol. Results obtained from standard quantum chemical atom-centered basis calculations and plane-wave based counterparts show excellent agreement. Furthermore, we also discuss the spectrum of the periodic sheet which is in good agreement with extrapolated data of finite clusters. These results pave the way toward applying the DMRG method in extended correlated solid-state systems, such as point defect qubit in wide band gap semiconductors.
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Affiliation(s)
- Gergely Barcza
- Wigner Research Centre for Physics, P.O. Box 49, Budapest H-1525, Hungary.,J. Heyrovský Institute of Physical Chemistry, Czech Academy of Sciences, Prague CZ-18223, Czechia
| | - Viktor Ivády
- Wigner Research Centre for Physics, P.O. Box 49, Budapest H-1525, Hungary.,Department of Physics, Chemistry and Biology, Linköping University, Linköping SE-581 83, Sweden
| | - Tibor Szilvási
- Department of Chemical and Biological Engineering, University of Wisconsin-Madison, Madison, Wisconsin 53706, United States.,Department of Chemical and Biological Engineering, The University of Alabama, Tuscaloosa, Alabama 35487, United States
| | - Márton Vörös
- Material Sciences Division, Argonne National Laboratory, Lemont, Illinois 60439, United States
| | - Libor Veis
- J. Heyrovský Institute of Physical Chemistry, Czech Academy of Sciences, Prague CZ-18223, Czechia
| | - Ádám Gali
- Wigner Research Centre for Physics, P.O. Box 49, Budapest H-1525, Hungary.,Department of Atomic Physics, Budapest University of Technology and Economics, Budapest H-1111, Hungary
| | - Örs Legeza
- Wigner Research Centre for Physics, P.O. Box 49, Budapest H-1525, Hungary
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13
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Lau BTG, Knizia G, Berkelbach TC. Regional Embedding Enables High-Level Quantum Chemistry for Surface Science. J Phys Chem Lett 2021; 12:1104-1109. [PMID: 33475362 DOI: 10.1021/acs.jpclett.0c03274] [Citation(s) in RCA: 23] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
Compared to common density functionals, ab initio wave function methods can provide greater reliability and accuracy, which could prove useful when modeling adsorbates or defects of otherwise periodic systems. However, the breaking of translational symmetry necessitates large supercells that are often prohibitive for correlated wave function methods. As an alternative, this paper introduces the regional embedding approach, which enables correlated wave function treatments of only a target fragment of interest through small, fragment-localized orbital spaces constructed using a simple overlap criterion. Applications to the adsorption of water on lithium hydride, hexagonal boron nitride, and graphene substrates show that regional embedding combined with focal-point corrections can provide converged CCSD(T) (coupled-cluster) adsorption energies with very small fragment sizes.
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Affiliation(s)
- Bryan T G Lau
- Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, United States
| | - Gerald Knizia
- Department of Chemistry, Pennsylvania State University, University Park, Pennsylvania 16802, United States
| | - Timothy C Berkelbach
- Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, United States
- Department of Chemistry, Columbia University, New York, New York 10027, United States
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14
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Mihm TN, Van Benschoten WZ, Shepherd JJ. Accelerating convergence to the thermodynamic limit with twist angle selection applied to methods beyond many-body perturbation theory. J Chem Phys 2021; 154:024113. [DOI: 10.1063/5.0033408] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022] Open
Affiliation(s)
- Tina N. Mihm
- Department of Chemistry, University of Iowa, Iowa City, Iowa 52242-1294, USA
- University of Iowa Informatics Initiative, University of Iowa, Iowa City, Iowa 52242-1294, USA
| | - William Z. Van Benschoten
- Department of Chemistry, University of Iowa, Iowa City, Iowa 52242-1294, USA
- University of Iowa Informatics Initiative, University of Iowa, Iowa City, Iowa 52242-1294, USA
| | - James J. Shepherd
- Department of Chemistry, University of Iowa, Iowa City, Iowa 52242-1294, USA
- University of Iowa Informatics Initiative, University of Iowa, Iowa City, Iowa 52242-1294, USA
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15
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Zhu T, Chan GKL. All-Electron Gaussian-Based G0W0 for Valence and Core Excitation Energies of Periodic Systems. J Chem Theory Comput 2021; 17:727-741. [DOI: 10.1021/acs.jctc.0c00704] [Citation(s) in RCA: 18] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Tianyu Zhu
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
| | - Garnet Kin-Lic Chan
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
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16
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Azadi S, Booth GH, Kühne TD. Equation of state of atomic solid hydrogen by stochastic many-body wave function methods. J Chem Phys 2020; 153:204107. [DOI: 10.1063/5.0026499] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Sam Azadi
- Department of Physics, King’s College London, Strand, WC2R 2LS London, United Kingdom
| | - George H. Booth
- Department of Physics, King’s College London, Strand, WC2R 2LS London, United Kingdom
| | - Thomas D. Kühne
- Department of Chemistry, Paderborn Center for Parallel Computing, Paderborn University, 33098 Paderborn, Germany
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17
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Morales MA, Malone FD. Accelerating the convergence of auxiliary-field quantum Monte Carlo in solids with optimized Gaussian basis sets. J Chem Phys 2020; 153:194111. [DOI: 10.1063/5.0025390] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Miguel A. Morales
- Quantum Simulations Group, Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - Fionn D. Malone
- Quantum Simulations Group, Lawrence Livermore National Laboratory, Livermore, California 94550, USA
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18
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Mancuso JL, Mroz AM, Le KN, Hendon CH. Electronic Structure Modeling of Metal-Organic Frameworks. Chem Rev 2020; 120:8641-8715. [PMID: 32672939 DOI: 10.1021/acs.chemrev.0c00148] [Citation(s) in RCA: 97] [Impact Index Per Article: 24.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Abstract
Owing to their molecular building blocks, yet highly crystalline nature, metal-organic frameworks (MOFs) sit at the interface between molecule and material. Their diverse structures and compositions enable them to be useful materials as catalysts in heterogeneous reactions, electrical conductors in energy storage and transfer applications, chromophores in photoenabled chemical transformations, and beyond. In all cases, density functional theory (DFT) and higher-level methods for electronic structure determination provide valuable quantitative information about the electronic properties that underpin the functions of these frameworks. However, there are only two general modeling approaches in conventional electronic structure software packages: those that treat materials as extended, periodic solids, and those that treat materials as discrete molecules. Each approach has features and benefits; both have been widely employed to understand the emergent chemistry that arises from the formation of the metal-organic interface. This Review canvases these approaches to date, with emphasis placed on the application of electronic structure theory to explore reactivity and electron transfer using periodic, molecular, and embedded models. This includes (i) computational chemistry considerations such as how functional, k-grid, and other model variables are selected to enable insights into MOF properties, (ii) extended solid models that treat MOFs as materials rather than molecules, (iii) the mechanics of cluster extraction and subsequent chemistry enabled by these molecular models, (iv) catalytic studies using both solids and clusters thereof, and (v) embedded, mixed-method approaches, which simulate a fraction of the material using one level of theory and the remainder of the material using another dissimilar theoretical implementation.
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Affiliation(s)
- Jenna L Mancuso
- Department of Chemistry and Biochemistry, University of Oregon, Eugene, Oregon 97405, United States
| | - Austin M Mroz
- Department of Chemistry and Biochemistry, University of Oregon, Eugene, Oregon 97405, United States
| | - Khoa N Le
- Department of Chemistry and Biochemistry, University of Oregon, Eugene, Oregon 97405, United States
| | - Christopher H Hendon
- Department of Chemistry and Biochemistry, University of Oregon, Eugene, Oregon 97405, United States
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19
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Nguyen TDH, Pham HD, Lin SY, Lin MF. Featured properties of Li +-based battery anode: Li 4Ti 5O 12. RSC Adv 2020; 10:14071-14079. [PMID: 35498449 PMCID: PMC9051913 DOI: 10.1039/d0ra00818d] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/27/2020] [Accepted: 03/18/2020] [Indexed: 11/21/2022] Open
Abstract
3D ternary Li4Ti5O12, a Li+-based battery anode, presents an unusual lattice symmetry (triclinic crystal), band structure, charge density, and density of states under first-principles calculations. It is a large direct-gap semiconductor with E d g ∼ 2.98 eV. The atom-dominated valence and conduction bands, the spatial charge distribution and the atom- and orbital-decomposed van Hove singularities are available for delicate identifications of multi-orbital hybridizations in Li-O and Ti-O bonds. The extremely non-uniform chemical environment, which induces very complicated hopping integrals, directly arises from the large bonding fluctuations and the highly anisotropic configurations. Also, the developed theoretical framework is very useful for fully understanding cathodes and electrolytes of oxide compounds.
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Affiliation(s)
| | - Hai Duong Pham
- Department of Physics, National Cheng Kung University Tainan 701 Taiwan
| | - Shih-Yang Lin
- Department of Physics, National Chung Cheng University Chiayi 62102 Taiwan
| | - Ming-Fa Lin
- Department of Physics, National Cheng Kung University Tainan 701 Taiwan
- Hierarchical Green-Energy Materials Research Center Taiwan
- Quantum Topology Center, National Cheng Kung University Tainan Taiwan 701 Taiwan
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20
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Wang X, Berkelbach TC. Excitons in Solids from Periodic Equation-of-Motion Coupled-Cluster Theory. J Chem Theory Comput 2020; 16:3095-3103. [DOI: 10.1021/acs.jctc.0c00101] [Citation(s) in RCA: 30] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Xiao Wang
- Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, United States
| | - Timothy C. Berkelbach
- Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, United States
- Department of Chemistry, Columbia University, New York, New York 10027, United States
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21
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Stuart DW, Mosey NJ. Pseudodiagonalization-based wavefunction optimization with contracted planewave basis functions. J Comput Chem 2020; 41:184-193. [PMID: 31646667 DOI: 10.1002/jcc.26087] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/16/2019] [Revised: 09/08/2019] [Accepted: 09/24/2019] [Indexed: 11/08/2022]
Abstract
Electronic structure calculations representing the molecular orbitals (MOs) with contracted planewave basis functions (CPWBFs) have been reported recently. CPWBFs are Fourier-series representations of atom-centered basis functions. The mathematical features of CPWBFs permit the construction of matrix-vector products, FC o , involving the application of the Fock matrix, F, to the set of occupied MOs, C o , without the explicit evaluation of F. This approach offers a theoretical speed-up of M/n over F-based methods, where M and n are the number of basis functions and occupied MOs, respectively. The present study reports methodological advances that permit FC o -based optimization of wavefunction formed from CPWBFs. In particular, a technique is reported for optimizing wavefunctions by combining pseudodiagonalization techniques based on an exact representation of FC o , approximate information regarding the virtual orbital energies, and direct inversion of the iterative subspace optimization schemes to guide the wavefunction to a converged solution. This method is found to speed-up wavefunction optimizations by factors of up to ~6 - 8 over F-based optimization methods while providing identical results. Further, the computational cost of this technique is relatively insensitive to basis set size, thus providing further benefits in calculations using large CPWBF basis sets. The results of density functional theory calculations show that this method permits the use of hybrid exchange-correlation (XC) functionals with a small increase in effort over analogous calculations using generalized gradient approximation XC functionals. © 2019 Wiley Periodicals, Inc.
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Affiliation(s)
- Duncan W Stuart
- Department of Chemistry, 90 Bader Lane, Queen's University, Kingston, Ontario, Canada, K7L 3N6
| | - Nicholas J Mosey
- Department of Chemistry, 90 Bader Lane, Queen's University, Kingston, Ontario, Canada, K7L 3N6
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22
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Irmler A, Gallo A, Hummel F, Grüneis A. Duality of Ring and Ladder Diagrams and Its Importance for Many-Electron Perturbation Theories. PHYSICAL REVIEW LETTERS 2019; 123:156401. [PMID: 31702324 DOI: 10.1103/physrevlett.123.156401] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/14/2019] [Indexed: 06/10/2023]
Abstract
We present a diagrammatic decomposition of the transition pair correlation function for the uniform electron gas. We demonstrate explicitly that ring and ladder diagrams are dual counterparts that capture significant long- and short-ranged interelectronic correlation effects, respectively. Our findings help to guide the further development of approximate many-electron theories and reveal that the contribution of the ladder diagrams to the electronic correlation energy can be approximated in an effective manner using second-order perturbation theory. We employ the latter approximation to reduce the computational cost of coupled cluster theory calculations for insulators and semiconductors by 2 orders of magnitude without compromising accuracy.
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Affiliation(s)
- Andreas Irmler
- Institute for Theoretical Physics, TU Wien, Wiedner Hauptstraße 8-10/136, 1040 Vienna, Austria
| | - Alejandro Gallo
- Institute for Theoretical Physics, TU Wien, Wiedner Hauptstraße 8-10/136, 1040 Vienna, Austria
| | - Felix Hummel
- Institute for Theoretical Physics, TU Wien, Wiedner Hauptstraße 8-10/136, 1040 Vienna, Austria
| | - Andreas Grüneis
- Institute for Theoretical Physics, TU Wien, Wiedner Hauptstraße 8-10/136, 1040 Vienna, Austria
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23
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Mihm TN, McIsaac AR, Shepherd JJ. An optimized twist angle to find the twist-averaged correlation energy applied to the uniform electron gas. J Chem Phys 2019; 150:191101. [PMID: 31117769 DOI: 10.1063/1.5091445] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023] Open
Abstract
We explore an alternative to twist averaging in order to obtain more cost-effective and accurate extrapolations to the thermodynamic limit (TDL) for coupled cluster doubles (CCD) calculations. We seek a single twist angle to perform calculations at, instead of integrating over many random points or a grid. We introduce the concept of connectivity, a quantity derived from the nonzero four-index integrals in an MP2 calculation. This allows us to find a special twist angle that provides appropriate connectivity in the energy equation, which yields results comparable to full twist averaging. This special twist angle effectively makes the finite electron number CCD calculation represent the TDL more accurately, reducing the cost of twist-averaged CCD over Ns twist angles from Ns CCD calculations to Ns MP2 calculations plus one CCD calculation.
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Affiliation(s)
- Tina N Mihm
- Department of Chemistry, University of Iowa, Iowa City, Iowa 52242-1002, USA
| | - Alexandra R McIsaac
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - James J Shepherd
- Department of Chemistry, University of Iowa, Iowa City, Iowa 52242-1002, USA
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24
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Motta M, Shee J, Zhang S, Chan GKL. Efficient Ab Initio Auxiliary-Field Quantum Monte Carlo Calculations in Gaussian Bases via Low-Rank Tensor Decomposition. J Chem Theory Comput 2019; 15:3510-3521. [DOI: 10.1021/acs.jctc.8b00996] [Citation(s) in RCA: 25] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Mario Motta
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
| | - James Shee
- Department of Chemistry, Columbia University, New York, New York 10027, United States
| | - Shiwei Zhang
- Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, United States
- Department of Physics, College of William and Mary, Williamsburg, Virginia 23187-8795, United States
| | - Garnet Kin-Lic Chan
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
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25
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Wang Y, Ni Z, Li W, Li S. Cluster-in-Molecule Local Correlation Approach for Periodic Systems. J Chem Theory Comput 2019; 15:2933-2943. [DOI: 10.1021/acs.jctc.8b01200] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Yuqi Wang
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210023, People’s Republic of China
| | - Zhigang Ni
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210023, People’s Republic of China
| | - Wei Li
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210023, People’s Republic of China
| | - Shuhua Li
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of MOE, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210023, People’s Republic of China
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26
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Brandenburg JG, Zen A, Fitzner M, Ramberger B, Kresse G, Tsatsoulis T, Grüneis A, Michaelides A, Alfè D. Physisorption of Water on Graphene: Subchemical Accuracy from Many-Body Electronic Structure Methods. J Phys Chem Lett 2019; 10:358-368. [PMID: 30615460 DOI: 10.1021/acs.jpclett.8b03679] [Citation(s) in RCA: 64] [Impact Index Per Article: 12.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
Wet carbon interfaces are ubiquitous in the natural world and exhibit anomalous properties, which could be exploited by emerging technologies. However, progress is limited by lack of understanding at the molecular level. Remarkably, even for the most fundamental system (a single water molecule interacting with graphene), there is no consensus on the nature of the interaction. We tackle this by performing an extensive set of complementary state-of-the-art computer simulations on some of the world's largest supercomputers. From this effort a consensus on the water-graphene interaction strength has been obtained. Our results have significant impact for the physical understanding, as they indicate that the interaction is weaker than predicted previously. They also pave the way for more accurate and reliable studies of liquid water at carbon interfaces.
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Affiliation(s)
- Jan Gerit Brandenburg
- Department of Physics and Astronomy , University College London , Gower Street , London WC1E 6BT , United Kingdom
- Thomas Young Centre and London Centre for Nanotechnology , 17-19 Gordon Street , London WC1H 0AH , United Kingdom
| | - Andrea Zen
- Department of Physics and Astronomy , University College London , Gower Street , London WC1E 6BT , United Kingdom
- Thomas Young Centre and London Centre for Nanotechnology , 17-19 Gordon Street , London WC1H 0AH , United Kingdom
| | - Martin Fitzner
- Department of Physics and Astronomy , University College London , Gower Street , London WC1E 6BT , United Kingdom
- Thomas Young Centre and London Centre for Nanotechnology , 17-19 Gordon Street , London WC1H 0AH , United Kingdom
| | - Benjamin Ramberger
- University of Vienna , Faculty of Physics and Center for Computational Materials Sciences , Sensengasse 8/12 , 1090 Wien , Austria
| | - Georg Kresse
- University of Vienna , Faculty of Physics and Center for Computational Materials Sciences , Sensengasse 8/12 , 1090 Wien , Austria
| | - Theodoros Tsatsoulis
- Institute for Theoretical Physics , Vienna University of Technology , Wiedner Hauptstrasse 8-10 , 1040 Vienna , Austria
- Max Planck Institute for Solid State Research , Heisenbergstrasse 1 , 70569 Stuttgart , Germany
| | - Andreas Grüneis
- Institute for Theoretical Physics , Vienna University of Technology , Wiedner Hauptstrasse 8-10 , 1040 Vienna , Austria
- Max Planck Institute for Solid State Research , Heisenbergstrasse 1 , 70569 Stuttgart , Germany
| | - Angelos Michaelides
- Department of Physics and Astronomy , University College London , Gower Street , London WC1E 6BT , United Kingdom
- Thomas Young Centre and London Centre for Nanotechnology , 17-19 Gordon Street , London WC1H 0AH , United Kingdom
| | - Dario Alfè
- Thomas Young Centre and London Centre for Nanotechnology , 17-19 Gordon Street , London WC1H 0AH , United Kingdom
- Department of Earth Sciences , University College London , Gower Street , London WC1E 6BT , United Kingdom
- Dipartimento di Fisica Ettore Pancini , Università di Napoli Federico II , Monte S. Angelo, I-80126 Napoli , Italy
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27
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Al-Hamdani YS, Tkatchenko A. Understanding non-covalent interactions in larger molecular complexes from first principles. J Chem Phys 2019; 150:010901. [PMID: 30621423 PMCID: PMC6910608 DOI: 10.1063/1.5075487] [Citation(s) in RCA: 38] [Impact Index Per Article: 7.6] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/22/2018] [Accepted: 12/05/2018] [Indexed: 01/02/2023] Open
Abstract
Non-covalent interactions pervade all matter and play a fundamental role in layered materials, biological systems, and large molecular complexes. Despite this, our accumulated understanding of non-covalent interactions to date has been mainly developed in the tens-of-atoms molecular regime. This falls considerably short of the scales at which we would like to understand energy trends, structural properties, and temperature dependencies in materials where non-covalent interactions have an appreciable role. However, as more reference information is obtained beyond moderately sized molecular systems, our understanding is improving and we stand to gain pertinent insights by tackling more complex systems, such as supramolecular complexes, molecular crystals, and other soft materials. In addition, accurate reference information is needed to provide the drive for extending the predictive power of more efficient workhorse methods, such as density functional approximations that also approximate van der Waals dispersion interactions. In this perspective, we discuss the first-principles approaches that have been used to obtain reference interaction energies for beyond modestly sized molecular complexes. The methods include quantum Monte Carlo, symmetry-adapted perturbation theory, non-canonical coupled cluster theory, and approaches based on the random-phase approximation. By considering the approximations that underpin each method, the most accurate theoretical references for supramolecular complexes and molecular crystals to date are ascertained. With these, we also assess a handful of widely used exchange-correlation functionals in density functional theory. The discussion culminates in a framework for putting into perspective the accuracy of high-level wavefunction-based methods and identifying future challenges.
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Affiliation(s)
- Yasmine S Al-Hamdani
- Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
| | - Alexandre Tkatchenko
- Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg City, Luxembourg
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28
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Tsatsoulis T, Sakong S, Groß A, Grüneis A. Reaction energetics of hydrogen on Si(100) surface: A periodic many-electron theory study. J Chem Phys 2018; 149:244105. [DOI: 10.1063/1.5055706] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Theodoros Tsatsoulis
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, 70569 Stuttgart, Germany
- Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstrasse 8-10, 1040 Vienna, Austria
| | - Sung Sakong
- Institute of Theoretical Chemistry, Ulm University, Albert-Einstein-Allee 11, 89081 Ulm, Germany
| | - Axel Groß
- Institute of Theoretical Chemistry, Ulm University, Albert-Einstein-Allee 11, 89081 Ulm, Germany
| | - Andreas Grüneis
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, 70569 Stuttgart, Germany
- Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstrasse 8-10, 1040 Vienna, Austria
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29
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An efficient pseudo-spectral method for the description of atomic electronic wave functions – Application to the hydrogen atom in a uniform magnetic field. Chem Phys 2018. [DOI: 10.1016/j.chemphys.2018.09.025] [Citation(s) in RCA: 1] [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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30
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Stuart DW, Mosey NJ. Direct inversion of the iterative subspace with contracted planewave basis functions. J Comput Chem 2018; 39:1890-1901. [PMID: 30247768 DOI: 10.1002/jcc.25362] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/01/2018] [Revised: 03/19/2018] [Accepted: 05/01/2018] [Indexed: 11/07/2022]
Abstract
Ways to reduce the computational cost of periodic electronic structure calculations by using basis functions corresponding to linear combinations of planewaves have been examined recently. These contracted planewave (CPW) basis functions correspond to Fourier series representations of atom-centered basis functions, and thus provide access to some beneficial properties of planewave (PW) and localized basis functions. This study reports the development and assessment of a direct inversion of the iterative subspace (DIIS) method that employs unique properties of CPW basis functions to efficiently converge electronic wavefunctions. This method relies on access to a PW-based representation of the electronic structure to provide a means of efficiently evaluating matrix-vector products involving the application of the Fock matrix to the occupied molecular orbitals. These matrix-vector products are transformed into a form permitting the use of direct diagonalization techniques and DIIS methods typically employed with atom-centered basis sets. The abilities of this method are assessed through periodic Hartree-Fock calculations of a range of molecules and solid-state systems. The results show that the method reported in this study is approximately five times faster than CPW-based calculations in which the entire Fock matrix is calculated. This method is also found to be weakly dependent upon the size of the basis set, thus permitting the use of larger CPW basis sets to increase variational flexibility with a minor impact on computational performance. © 2018 Wiley Periodicals, Inc.
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Affiliation(s)
- Duncan W Stuart
- Department of Chemistry, Queen's University, 90 Bader Lane, Kingston, Ontario, Canada, K7L 3N6
| | - Nicholas J Mosey
- Department of Chemistry, Queen's University, 90 Bader Lane, Kingston, Ontario, Canada, K7L 3N6
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31
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Usvyat D, Maschio L, Schütz M. Periodic and fragment models based on the local correlation approach. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2018. [DOI: 10.1002/wcms.1357] [Citation(s) in RCA: 25] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Affiliation(s)
- Denis Usvyat
- Institut für ChemieHumboldt‐Universität zu BerlinBerlinGermany
| | - Lorenzo Maschio
- Dipartimento di Chimica and NIS (Nanostructured Interfaces and Surfaces) CentreUniversità di TorinoTorinoItaly
| | - Martin Schütz
- Institut für ChemieHumboldt‐Universität zu BerlinBerlinGermany
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32
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Sun Q, Berkelbach TC, Blunt NS, Booth GH, Guo S, Li Z, Liu J, McClain JD, Sayfutyarova ER, Sharma S, Wouters S, Chan GK. P
y
SCF: the Python‐based simulations of chemistry framework. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2017. [DOI: 10.1002/wcms.1340] [Citation(s) in RCA: 529] [Impact Index Per Article: 75.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/26/2023]
Affiliation(s)
- Qiming Sun
- Division of Chemistry and Chemical EngineeringCalifornia Institute of Technology Pasadena CA USA
| | - Timothy C. Berkelbach
- Department of Chemistry and James Franck InstituteUniversity of Chicago Chicago IL USA
| | - Nick S. Blunt
- Chemical Science DivisionLawrence Berkeley National Laboratory Berkeley CA USA
- Department of ChemistryUniversity of California Berkeley CA USA
| | - George H. Booth
- Department of PhysicsKing's College London, Strand London UK
| | - Sheng Guo
- Division of Chemistry and Chemical EngineeringCalifornia Institute of Technology Pasadena CA USA
- Department of ChemistryPrinceton University Princeton NJ USA
| | - Zhendong Li
- Division of Chemistry and Chemical EngineeringCalifornia Institute of Technology Pasadena CA USA
| | - Junzi Liu
- Institute of Chemistry Chinese Academy of Sciences Beijing China
| | - James D. McClain
- Division of Chemistry and Chemical EngineeringCalifornia Institute of Technology Pasadena CA USA
- Department of ChemistryPrinceton University Princeton NJ USA
| | - Elvira R. Sayfutyarova
- Division of Chemistry and Chemical EngineeringCalifornia Institute of Technology Pasadena CA USA
- Department of ChemistryPrinceton University Princeton NJ USA
| | - Sandeep Sharma
- Department of Chemistry and BiochemistryUniversity of Colorado Boulder Boulder CO USA
| | | | - Garnet Kin‐Lic Chan
- Division of Chemistry and Chemical EngineeringCalifornia Institute of Technology Pasadena CA USA
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33
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Al-Hamdani YS, Rossi M, Alfè D, Tsatsoulis T, Ramberger B, Brandenburg JG, Zen A, Kresse G, Grüneis A, Tkatchenko A, Michaelides A. Properties of the water to boron nitride interaction: From zero to two dimensions with benchmark accuracy. J Chem Phys 2017; 147:044710. [DOI: 10.1063/1.4985878] [Citation(s) in RCA: 35] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Yasmine S. Al-Hamdani
- Thomas Young Centre and London Centre for Nanotechnology, 17–19 Gordon Street, London WC1H 0AH, United Kingdom
- Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg, Luxembourg
| | - Mariana Rossi
- Fritz Haber Institute of the Max Planck Society, Faradayweg 4-6, 14195 Berlin, Germany
| | - Dario Alfè
- Thomas Young Centre and London Centre for Nanotechnology, 17–19 Gordon Street, London WC1H 0AH, United Kingdom
- Department of Earth Sciences, University College London, Gower Street, London WC1E 6BT, United Kingdom
| | - Theodoros Tsatsoulis
- Max Planck Institute for Solid State Research, Heisenbergstraße 1, D-70569 Stuttgart, Germany
| | - Benjamin Ramberger
- University of Vienna, Faculty of Physics and Center for Computational Materials Sciences, Sensengasse 8/12, 1090 Wien, Austria
| | - Jan Gerit Brandenburg
- Thomas Young Centre and London Centre for Nanotechnology, 17–19 Gordon Street, London WC1H 0AH, United Kingdom
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
- Department of Chemistry, University College London, 20 Gordon Street, London WC1H 0AH, United Kingdom
| | - Andrea Zen
- Thomas Young Centre and London Centre for Nanotechnology, 17–19 Gordon Street, London WC1H 0AH, United Kingdom
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
| | - Georg Kresse
- University of Vienna, Faculty of Physics and Center for Computational Materials Sciences, Sensengasse 8/12, 1090 Wien, Austria
| | - Andreas Grüneis
- Max Planck Institute for Solid State Research, Heisenbergstraße 1, D-70569 Stuttgart, Germany
| | - Alexandre Tkatchenko
- Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg, Luxembourg
| | - Angelos Michaelides
- Thomas Young Centre and London Centre for Nanotechnology, 17–19 Gordon Street, London WC1H 0AH, United Kingdom
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
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34
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Xiong XG, Yanai T. Projector Augmented Wave Method Incorporated into Gauss-Type Atomic Orbital Based Density Functional Theory. J Chem Theory Comput 2017; 13:3236-3249. [DOI: 10.1021/acs.jctc.7b00404] [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)
- Xiao-Gen Xiong
- Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
| | - Takeshi Yanai
- Department
of Theoretical and Computational Molecular Science, Institute for Molecular Science, Okazaki, 444-8585 Aichi, Japan
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35
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Dixit A, Claudot J, Lebègue S, Rocca D. Communication: A novel implementation to compute MP2 correlation energies without basis set superposition errors and complete basis set extrapolation. J Chem Phys 2017; 146:211102. [PMID: 28595409 PMCID: PMC5457293 DOI: 10.1063/1.4985096] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/19/2017] [Accepted: 05/25/2017] [Indexed: 11/14/2022] Open
Abstract
By using a formulation based on the dynamical polarizability, we propose a novel implementation of second-order Møller-Plesset perturbation (MP2) theory within a plane wave (PW) basis set. Because of the intrinsic properties of PWs, this method is not affected by basis set superposition errors. Additionally, results are converged without relying on complete basis set extrapolation techniques; this is achieved by using the eigenvectors of the static polarizability as an auxiliary basis set to compactly and accurately represent the response functions involved in the MP2 equations. Summations over the large number of virtual states are avoided by using a formalism inspired by density functional perturbation theory, and the Lanczos algorithm is used to include dynamical effects. To demonstrate this method, applications to three weakly interacting dimers are presented.
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Affiliation(s)
- Anant Dixit
- Université de Lorraine, CRM, UMR 7036, 54506 Vandoeuvre-lès-Nancy, France
| | - Julien Claudot
- Université de Lorraine, CRM, UMR 7036, 54506 Vandoeuvre-lès-Nancy, France
| | - Sébastien Lebègue
- Université de Lorraine, CRM, UMR 7036, 54506 Vandoeuvre-lès-Nancy, France
| | - Dario Rocca
- Université de Lorraine, CRM, UMR 7036, 54506 Vandoeuvre-lès-Nancy, France
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36
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Tsatsoulis T, Hummel F, Usvyat D, Schütz M, Booth GH, Binnie SS, Gillan MJ, Alfè D, Michaelides A, Grüneis A. A comparison between quantum chemistry and quantum Monte Carlo techniques for the adsorption of water on the (001) LiH surface. J Chem Phys 2017; 146:204108. [PMID: 28571392 PMCID: PMC5446292 DOI: 10.1063/1.4984048] [Citation(s) in RCA: 33] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/21/2017] [Accepted: 05/11/2017] [Indexed: 12/03/2022] Open
Abstract
We present a comprehensive benchmark study of the adsorption energy of a single water molecule on the (001) LiH surface using periodic coupled cluster and quantum Monte Carlo theories. We benchmark and compare different implementations of quantum chemical wave function based theories in order to verify the reliability of the predicted adsorption energies and the employed approximations. Furthermore we compare the predicted adsorption energies to those obtained employing widely used van der Waals density-functionals. Our findings show that quantum chemical approaches are becoming a robust and reliable tool for condensed phase electronic structure calculations, providing an additional tool that can also help in potentially improving currently available van der Waals density-functionals.
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Affiliation(s)
- Theodoros Tsatsoulis
- Max Planck Institute for Solid State Research, Heisenbergstraße 1, D-70569 Stuttgart, Germany
| | - Felix Hummel
- Max Planck Institute for Solid State Research, Heisenbergstraße 1, D-70569 Stuttgart, Germany
| | - Denis Usvyat
- Institut für Chemie, Humboldt-Universität zu Berlin, Brook-Taylor-St. 2, D-12489 Berlin, Germany
| | - Martin Schütz
- Institut für Chemie, Humboldt-Universität zu Berlin, Brook-Taylor-St. 2, D-12489 Berlin, Germany
| | - George H Booth
- Department of Physics, King's College London, Strand, London WC2R 2LS, United Kingdom
| | - Simon S Binnie
- London Centre for Nanotechnology, University College London, Gordon St., London WC1H 0AH, United Kingdom
| | - Michael J Gillan
- London Centre for Nanotechnology, University College London, Gordon St., London WC1H 0AH, United Kingdom
| | - Dario Alfè
- London Centre for Nanotechnology, University College London, Gordon St., London WC1H 0AH, United Kingdom
| | - Angelos Michaelides
- London Centre for Nanotechnology, University College London, Gordon St., London WC1H 0AH, United Kingdom
| | - Andreas Grüneis
- Max Planck Institute for Solid State Research, Heisenbergstraße 1, D-70569 Stuttgart, Germany
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37
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Schwarz LR, Alavi A, Booth GH. Projector Quantum Monte Carlo Method for Nonlinear Wave Functions. PHYSICAL REVIEW LETTERS 2017; 118:176403. [PMID: 28498711 DOI: 10.1103/physrevlett.118.176403] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/28/2016] [Indexed: 06/07/2023]
Abstract
We reformulate the projected imaginary-time evolution of the full configuration interaction quantum Monte Carlo method in terms of a Lagrangian minimization. This naturally leads to the admission of polynomial complex wave function parametrizations, circumventing the exponential scaling of the approach. While previously these functions have traditionally inhabited the domain of variational Monte Carlo approaches, we consider recent developments for the identification of deep-learning neural networks to optimize this Lagrangian, which can be written as a modification of the propagator for the wave function dynamics. We demonstrate this approach with a form of tensor network state, and use it to find solutions to the strongly correlated Hubbard model, as well as its application to a fully periodic ab initio graphene sheet. The number of variables which can be simultaneously optimized greatly exceeds alternative formulations of variational Monte Carlo methods, allowing for systematic improvability of the wave function flexibility towards exactness for a number of different forms, while blurring the line between traditional variational and projector quantum Monte Carlo approaches.
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Affiliation(s)
- Lauretta R Schwarz
- University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom
| | - A Alavi
- Max Planck Institute for Solid State Research, Heisenbergstraße 1, 70569 Stuttgart, Germany and University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom
| | - George H Booth
- Department of Physics, King's College London, Strand, London WC2R 2LS, United Kingdom
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38
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Hummel F, Tsatsoulis T, Grüneis A. Low rank factorization of the Coulomb integrals for periodic coupled cluster theory. J Chem Phys 2017; 146:124105. [DOI: 10.1063/1.4977994] [Citation(s) in RCA: 50] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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39
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Mountjoy J, Todd M, Mosey NJ. Exact exchange with non-orthogonal generalized Wannier functions. J Chem Phys 2017; 146:104108. [PMID: 28298125 DOI: 10.1063/1.4977783] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The evaluation of exact exchange (EXX) is an important component of quantum chemical calculations performed with ab initio and hybrid density functional methods. While evaluating exact exchange is routine in molecular quantum chemical calculations performed with localized basis sets, the non-local nature of the exchange operator presents a major impediment to the efficient use of exact exchange in calculations that employ planewave basis sets. Non-orthogonal generalized Wannier functions (NGWFs) corresponding to planewave expansions of localized basis functions are an alternative form of basis set that can be used in quantum chemical calculations. The periodic nature of these functions renders them suitable for calculations of periodic systems, while the contraction of sets of planewaves into individual basis functions reduces the number of variational parameters, permitting the construction and direct diagonalization of the Fock matrix. The present study examines how NGWFs corresponding to Fourier series representations of conventional atom-centered basis sets can be used to evaluate exact exchange in periodic systems. Specifically, an approach for constructing the exchange operator with NGWFs is presented and used to perform Hartree-Fock calculations with a series of molecules in periodically repeated simulation cells. The results demonstrate that the NGWF approach is significantly faster than the EXX method, which is a standard approach for evaluating exact exchange in periodic systems.
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Affiliation(s)
- Jeff Mountjoy
- Department of Chemistry, Queen's University, 90 Bader Lane, Kingston, Ontario K7L 3N6, Canada
| | - Michelle Todd
- Department of Chemistry, Queen's University, 90 Bader Lane, Kingston, Ontario K7L 3N6, Canada
| | - Nicholas J Mosey
- Department of Chemistry, Queen's University, 90 Bader Lane, Kingston, Ontario K7L 3N6, Canada
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40
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McClain J, Sun Q, Chan GKL, Berkelbach TC. Gaussian-Based Coupled-Cluster Theory for the Ground-State and Band Structure of Solids. J Chem Theory Comput 2017; 13:1209-1218. [DOI: 10.1021/acs.jctc.7b00049] [Citation(s) in RCA: 130] [Impact Index Per Article: 18.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- James McClain
- Department
of Chemistry, Princeton University, Princeton, New Jersey 08544, United States
| | - Qiming Sun
- Division
of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
| | - Garnet Kin-Lic Chan
- Division
of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
| | - Timothy C. Berkelbach
- Department
of Chemistry and James Franck Institute, University of Chicago, Chicago, Illinois 60637, United States
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