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Petrov K, Csóka J, Kállay M. Analytic Gradients for Density Fitting MP2 Using Natural Auxiliary Functions. J Phys Chem A 2024; 128:6566-6580. [PMID: 39074307 PMCID: PMC11317987 DOI: 10.1021/acs.jpca.4c02822] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/30/2024] [Revised: 07/02/2024] [Accepted: 07/16/2024] [Indexed: 07/31/2024]
Abstract
The natural auxiliary function (NAF) approach is an approximation to decrease the size of the auxiliary basis set required for quantum chemical calculations utilizing the density fitting technique. It has been proven efficient to speed up various correlation models, such as second-order Møller-Plesset (MP2) theory and coupled-cluster methods. Here, for the first time, we discuss the theory of analytic derivatives for correlation methods employing the NAF approximation on the example of MP2. A detailed algorithm for the gradient calculation with the NAF approximation is proposed in the framework of the method of Lagrange multipliers. To assess the effect of the NAF approximation on gradients and optimized geometric parameters, a series of benchmark calculations on small and medium-sized systems was performed. Our results demonstrate that, for MP2, sufficiently accurate gradients and geometries can be achieved with a moderate time reduction of 15-20% for both small and medium-sized molecules.
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Affiliation(s)
- Klára Petrov
- Department
of Physical Chemistry and Materials Science, Faculty of Chemical Technology
and Biotechnology, Budapest University of
Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary
- HUN-REN−BME
Quantum Chemistry Research Group, Műegyetem rkp. 3., H-1111 Budapest, Hungary
- MTA−BME
Lendület Quantum Chemistry Research Group, Műegyetem rkp. 3., H-1111 Budapest, Hungary
| | - József Csóka
- Department
of Physical Chemistry and Materials Science, Faculty of Chemical Technology
and Biotechnology, Budapest University of
Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary
- HUN-REN−BME
Quantum Chemistry Research Group, Műegyetem rkp. 3., H-1111 Budapest, Hungary
- MTA−BME
Lendület Quantum Chemistry Research Group, Műegyetem rkp. 3., H-1111 Budapest, Hungary
| | - Mihály Kállay
- Department
of Physical Chemistry and Materials Science, Faculty of Chemical Technology
and Biotechnology, Budapest University of
Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary
- HUN-REN−BME
Quantum Chemistry Research Group, Műegyetem rkp. 3., H-1111 Budapest, Hungary
- MTA−BME
Lendület Quantum Chemistry Research Group, Műegyetem rkp. 3., H-1111 Budapest, Hungary
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2
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Demir Gİ, Demir S, Tekin A. 2D‐FFCASP—A New Approach for 2D Structure Prediction Applied to Self‐Assemblies of DNA Bases. ADVANCED THEORY AND SIMULATIONS 2022. [DOI: 10.1002/adts.202200308] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
- Gözde İniş Demir
- Informatics Institute Istanbul Technical University Maslak Istanbul 34469 Turkey
| | - Samet Demir
- Informatics Institute Istanbul Technical University Maslak Istanbul 34469 Turkey
- TÜBİTAK Research Institute for Fundamental Sciences Gebze Kocaeli 41470 Turkey
| | - Adem Tekin
- Informatics Institute Istanbul Technical University Maslak Istanbul 34469 Turkey
- TÜBİTAK Research Institute for Fundamental Sciences Gebze Kocaeli 41470 Turkey
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3
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Csóka J, Kállay M. Speeding up Hartree-Fock and Kohn-Sham calculations with first-order corrections. J Chem Phys 2021; 154:164114. [PMID: 33940810 DOI: 10.1063/5.0041276] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023] Open
Abstract
Several approaches are presented to improve the efficiency of Hartree-Fock and Kohn-Sham self-consistent field (SCF) calculations relying on a simple first-order energy correction reminiscent of the scheme used in dual-basis SCF methods. The basic idea is to perform an initial SCF calculation computing approximate Fock-matrices and, in the final iteration step, to use a more complete Fock-matrix builder together with the energy correction to diminish the error. The approximation is tested for conventional and local density fitting (DF) SCF approaches combining various auxiliary basis sets, fitting metrics, and Fock-matrix construction algorithms in the initial and final iterations as well as for seminumerical SCF methods combining integration grids of different qualities. We also report the implementation of the occupied orbital resolution of identity exchange construction algorithm with local DF approximations. Benchmark calculations are presented for total energies, reaction energies, and molecular geometries. Our results show that speedups of up to 80% can be expected utilizing the new approaches without significant loss of accuracy.
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Affiliation(s)
- József Csóka
- Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary
| | - Mihály Kállay
- Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary
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4
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Karton A, Martin JML. Prototypical π-π dimers re-examined by means of high-level CCSDT(Q) composite ab initio methods. J Chem Phys 2021; 154:124117. [PMID: 33810692 DOI: 10.1063/5.0043046] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023] Open
Abstract
The benzene-ethene and parallel-displaced (PD) benzene-benzene dimers are the most fundamental systems involving π-π stacking interactions. Several high-level ab initio investigations calculated the binding energies of these dimers using the coupled-cluster with singles, doubles, and quasi-perturbative triple excitations [CCSD(T)] method at the complete basis set [CBS] limit using various approaches such as reduced virtual orbital spaces and/or MP2-based basis set corrections. Here, we obtain CCSDT(Q) binding energies using a Weizmann-3-type approach. In particular, we extrapolate the self-consistent field (SCF), CCSD, and (T) components using large heavy-atom augmented Gaussian basis sets [namely, SCF/jul-cc-pV{5,6}Z, CCSD/jul-cc-pV{Q,5}Z, and (T)/jul-cc-pV{T,Q}Z]. We consider post-CCSD(T) contributions up to CCSDT(Q), inner-shell, scalar-relativistic, and Born-Oppenheimer corrections. Overall, our best relativistic, all-electron CCSDT(Q) binding energies are ∆Ee,all,rel = 1.234 (benzene-ethene) and 2.550 (benzene-benzene PD), ∆H0 = 0.949 (benzene-ethene) and 2.310 (benzene-benzene PD), and ∆H298 = 0.130 (benzene-ethene) and 1.461 (benzene-benzene PD) kcal mol-1. Important conclusions are reached regarding the basis set convergence of the SCF, CCSD, (T), and post-CCSD(T) components. Explicitly correlated calculations are used as a sanity check on the conventional binding energies. Overall, post-CCSD(T) contributions are destabilizing by 0.028 (benzene-ethene) and 0.058 (benzene-benzene) kcal mol-1, and thus, they cannot be neglected if sub-chemical accuracy is sought (i.e., errors below 0.1 kcal mol-1). CCSD(T)/aug-cc-pwCVTZ core-valence corrections increase the binding energies by 0.018 (benzene-ethene) and 0.027 (benzene-benzene PD) kcal mol-1. Scalar-relativistic and diagonal Born-Oppenheimer corrections are negligibly small. We use our best CCSDT(Q) binding energies to evaluate the performance of MP2-based, CCSD-based, and lower-cost composite ab initio procedures for obtaining these challenging π-π stacking binding energies.
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Affiliation(s)
- Amir Karton
- School of Molecular Sciences, The University of Western Australia, Perth, WA 6009, Australia
| | - Jan M L Martin
- Department of Organic Chemistry, Weizmann Institute of Science, 76100 Reḥovot, Israel
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5
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Tekin A. Towards the crystal structure of thymine: An intermolecular force field development and parallel global cluster optimizations. J Chem Phys 2019; 151:244302. [DOI: 10.1063/1.5131754] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023] Open
Affiliation(s)
- Adem Tekin
- Informatics Institute, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey
- Research Institute for Fundamental Sciences (TÜBİTAK-TBAE), 41470 Gebze, Kocaeli, Turkey
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6
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Zhou R, Liang Q, Yang J. Complete OSV-MP2 Analytical Gradient Theory for Molecular Structure and Dynamics Simulations. J Chem Theory Comput 2019; 16:196-210. [DOI: 10.1021/acs.jctc.9b00806] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Affiliation(s)
- Ruiyi Zhou
- Department of Chemistry, The University of Hong Kong, Hong Kong SAR, P. R. China
| | - Qiujiang Liang
- Department of Chemistry, The University of Hong Kong, Hong Kong SAR, P. R. China
| | - Jun Yang
- Department of Chemistry, The University of Hong Kong, Hong Kong SAR, P. R. China
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7
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Morrison AF, Epifanovsky E, Herbert JM. Double-buffered, heterogeneous CPU + GPU integral digestion algorithm for single-excitation calculations involving a large number of excited states. J Comput Chem 2018; 39:2173-2182. [PMID: 30368836 DOI: 10.1002/jcc.25531] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/04/2018] [Revised: 05/12/2018] [Accepted: 06/14/2018] [Indexed: 01/29/2023]
Abstract
The most widely used quantum-chemical models for excited states are single-excitation theories, a category that includes configuration interaction with single substitutions, time-dependent density functional theory, and also a recently developed ab initio exciton model. When a large number of excited states are desired, these calculations incur a significant bottleneck in the "digestion" step in which two-electron integrals are contracted with density or density-like matrices. We present an implementation that moves this step onto graphical processing units (GPUs), and introduce a double-buffer scheme that minimizes latency by computing integrals on the central processing units (CPUs) concurrently with their digestion on the GPUs. An automatic code generation scheme simplifies the implementation of high-performance GPU kernels. For the exciton model, which requires separate excited-state calculations on each electronically coupled chromophore, the heterogeneous implementation described here results in speedups of 2-6× versus a CPU-only implementation. For traditional time-dependent density functional theory calculations, we obtain speedups of up to 5× when a large number of excited states is computed. © 2018 Wiley Periodicals, Inc.
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Affiliation(s)
- Adrian F Morrison
- Department of Chemistry and Biochemistry, The Ohio State University, Columbus, Ohio.,Q-Chem Inc., Pleasanton, California
| | | | - John M Herbert
- Department of Chemistry and Biochemistry, The Ohio State University, Columbus, Ohio
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8
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Hégely B, Nagy PR, Kállay M. Dual Basis Set Approach for Density Functional and Wave Function Embedding Schemes. J Chem Theory Comput 2018; 14:4600-4615. [DOI: 10.1021/acs.jctc.8b00350] [Citation(s) in RCA: 25] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Affiliation(s)
- Bence Hégely
- MTA-BME Lendület Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary
| | - Péter R. Nagy
- MTA-BME Lendület Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary
| | - Mihály Kállay
- MTA-BME Lendület Quantum Chemistry Research Group, Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary
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9
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Pereverzev AY, Cheng X, Nagornova NS, Reese DL, Steele RP, Boyarkin OV. Vibrational Signatures of Conformer-Specific Intramolecular Interactions in Protonated Tryptophan. J Phys Chem A 2016; 120:5598-608. [DOI: 10.1021/acs.jpca.6b05605] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Aleksandr Y. Pereverzev
- Laboratoire
de Chimie Physique Moléculaire, Ecole Polytechnique Federale de Lausanne, EPFL SB ISIC LCPM, Station 6, CH-1015 Lausanne, Switzerland
| | - Xiaolu Cheng
- Department
of Chemistry, University of Utah, 315 South 1400 East, Salt Lake City, Utah 84112, United States
- Henry
Eyring Center for Theoretical Chemistry, University of Utah, 315 South 1400 East, Salt Lake City, Utah 84112, United States
| | - Natalia S. Nagornova
- Laboratoire
de Chimie Physique Moléculaire, Ecole Polytechnique Federale de Lausanne, EPFL SB ISIC LCPM, Station 6, CH-1015 Lausanne, Switzerland
| | - Diana L. Reese
- Department
of Chemistry, University of Utah, 315 South 1400 East, Salt Lake City, Utah 84112, United States
- Henry
Eyring Center for Theoretical Chemistry, University of Utah, 315 South 1400 East, Salt Lake City, Utah 84112, United States
| | - Ryan P. Steele
- Department
of Chemistry, University of Utah, 315 South 1400 East, Salt Lake City, Utah 84112, United States
- Henry
Eyring Center for Theoretical Chemistry, University of Utah, 315 South 1400 East, Salt Lake City, Utah 84112, United States
| | - Oleg V. Boyarkin
- Laboratoire
de Chimie Physique Moléculaire, Ecole Polytechnique Federale de Lausanne, EPFL SB ISIC LCPM, Station 6, CH-1015 Lausanne, Switzerland
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10
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Yoshikawa T, Nakai H. Linear-scaling self-consistent field calculations based on divide-and-conquer method using resolution-of-identity approximation on graphical processing units. J Comput Chem 2014; 36:164-70. [DOI: 10.1002/jcc.23782] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/20/2014] [Revised: 10/21/2014] [Accepted: 10/22/2014] [Indexed: 01/27/2023]
Affiliation(s)
- Takeshi Yoshikawa
- Department of Chemistry and Biochemistry; School of Advanced Science and Engineering, Waseda University; Tokyo 169-8555 Japan
| | - Hiromi Nakai
- Department of Chemistry and Biochemistry; School of Advanced Science and Engineering, Waseda University; Tokyo 169-8555 Japan
- Research Institute for Science and Engineering, Waseda University; Tokyo 169-8555 Japan
- CREST; Japan Science and Technology Agency; Saitama 332-0012 Japan
- ESICB; Kyoto University, Kyotodaigaku-Katsura; Kyoto 615-8520 Japan
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11
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Heit Y, Beran GJO. Exploiting space-group symmetry in fragment-based molecular crystal calculations. J Comput Chem 2014; 35:2205-14. [DOI: 10.1002/jcc.23737] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/29/2014] [Revised: 07/23/2014] [Accepted: 08/31/2014] [Indexed: 02/03/2023]
Affiliation(s)
- Yonaton Heit
- Department of Chemistry; University of California; Riverside California 92521
| | - Gregory J. O. Beran
- Department of Chemistry; University of California; Riverside California 92521
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12
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Sharkas K, Toulouse J, Maschio L, Civalleri B. Double-hybrid density-functional theory applied to molecular crystals. J Chem Phys 2014; 141:044105. [DOI: 10.1063/1.4890439] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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13
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Wang LP, Martinez TJ, Pande VS. Building Force Fields: An Automatic, Systematic, and Reproducible Approach. J Phys Chem Lett 2014; 5:1885-91. [PMID: 26273869 PMCID: PMC9649520 DOI: 10.1021/jz500737m] [Citation(s) in RCA: 341] [Impact Index Per Article: 34.1] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/21/2023]
Abstract
The development of accurate molecular mechanics force fields is a significant challenge that must be addressed for the continued success of molecular simulation. We developed the ForceBalance method to automatically derive accurate force field parameters using flexible combinations of experimental and theoretical reference data. The method is demonstrated in the parametrization of two rigid water models, yielding new parameter sets (TIP3P-FB and TIP4P-FB) that accurately describe many physical properties of water.
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Affiliation(s)
- Lee-Ping Wang
- Department of Chemistry, Stanford University, Stanford, CA 94305
| | - Todd J. Martinez
- Department of Chemistry, Stanford University, Stanford, CA 94305
| | - Vijay S. Pande
- Department of Chemistry, Stanford University, Stanford, CA 94305
- To whom correspondence should be addressed. Phone: (650) 723-3660. Fax: (650) 725-0259.
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14
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Delcey MG, Freitag L, Pedersen TB, Aquilante F, Lindh R, González L. Analytical gradients of complete active space self-consistent field energies using Cholesky decomposition: Geometry optimization and spin-state energetics of a ruthenium nitrosyl complex. J Chem Phys 2014; 140:174103. [DOI: 10.1063/1.4873349] [Citation(s) in RCA: 45] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022] Open
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15
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Sutton C, Körzdörfer T, Gray MT, Brunsfeld M, Parrish RM, Sherrill CD, Sears JS, Brédas JL. Accurate description of torsion potentials in conjugated polymers using density functionals with reduced self-interaction error. J Chem Phys 2014; 140:054310. [DOI: 10.1063/1.4863218] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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16
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Wang LP, Head-Gordon T, Ponder JW, Ren P, Chodera JD, Eastman PK, Martinez TJ, Pande VS. Systematic improvement of a classical molecular model of water. J Phys Chem B 2013; 117:9956-72. [PMID: 23750713 PMCID: PMC3770532 DOI: 10.1021/jp403802c] [Citation(s) in RCA: 247] [Impact Index Per Article: 22.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We report the iAMOEBA ("inexpensive AMOEBA") classical polarizable water model. The iAMOEBA model uses a direct approximation to describe electronic polarizability, in which the induced dipoles are determined directly from the permanent multipole electric fields and do not interact with one another. The direct approximation reduces the computational cost relative to a fully self-consistent polarizable model such as AMOEBA. The model is parameterized using ForceBalance, a systematic optimization method that simultaneously utilizes training data from experimental measurements and high-level ab initio calculations. We show that iAMOEBA is a highly accurate model for water in the solid, liquid, and gas phases, with the ability to fully capture the effects of electronic polarization and predict a comprehensive set of water properties beyond the training data set including the phase diagram. The increased accuracy of iAMOEBA over the fully polarizable AMOEBA model demonstrates ForceBalance as a method that allows the researcher to systematically improve empirical models by efficiently utilizing the available data.
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Affiliation(s)
- Lee-Ping Wang
- Department of Chemistry, Stanford University, Stanford, CA 94305
| | - Teresa Head-Gordon
- Department of Chemistry, Bioengineering, Chemical & Biomolecular Engineering, University of California, Berkeley, CA 94720
| | - Jay W. Ponder
- Department of Chemistry, Washington University, St. Louis, MO 63130
| | - Pengyu Ren
- Department of Biomedical Engineering, University of Texas, Austin, Texas 78712
| | - John D. Chodera
- Computational Biology Program, Sloan-Kettering Institute, New York, NY 10065
| | - Peter K. Eastman
- Department of Chemistry, Stanford University, Stanford, CA 94305
| | - Todd J. Martinez
- Department of Chemistry, Stanford University, Stanford, CA 94305
| | - Vijay S. Pande
- Department of Chemistry, Stanford University, Stanford, CA 94305
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17
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Győrffy W, Shiozaki T, Knizia G, Werner HJ. Analytical energy gradients for second-order multireference perturbation theory using density fitting. J Chem Phys 2013; 138:104104. [DOI: 10.1063/1.4793737] [Citation(s) in RCA: 86] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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18
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Mardirossian N, Lambrecht DS, McCaslin L, Xantheas SS, Head-Gordon M. The Performance of Density Functionals for Sulfate–Water Clusters. J Chem Theory Comput 2013; 9:1368-80. [DOI: 10.1021/ct4000235] [Citation(s) in RCA: 65] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Narbe Mardirossian
- Department of Chemistry, University
of California, Berkeley, California, United States
| | - Daniel S. Lambrecht
- Department of Chemistry, University
of Pittsburgh, Pittsburgh, Pennsylvania, United States
| | - Laura McCaslin
- Department of Chemistry and Biochemistry,
University of Texas—Austin, Texas, United States
| | - Sotiris S. Xantheas
- Physical Sciences Division,
Pacific Northwest National Laboratory, Richland, Washington, United
States
| | - Martin Head-Gordon
- Department of Chemistry, University
of California, Berkeley, California, United States
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19
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Chwee TS, Lim GS, Fan WY, Sullivan MB. Computational study of molecular properties with dual basis sets. Phys Chem Chem Phys 2013; 15:16566-73. [DOI: 10.1039/c3cp51055g] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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20
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Lambrecht DS, McCaslin L, Xantheas SS, Epifanovsky E, Head-Gordon M. Refined energetic ordering for sulphate–water (n = 3–6) clusters using high-level electronic structure calculations. Mol Phys 2012. [DOI: 10.1080/00268976.2012.708442] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
| | - Laura McCaslin
- a Department of Chemistry , University of California , Berkeley , USA
| | - Sotiris S. Xantheas
- b Chemical & Materials Sciences Division , Pacific Northwest National Laboratory , 902 Battelle Boulevard, P.O. Box 999, MS K1-83, Richland , Washington 99352 , USA
| | | | - Martin Head-Gordon
- a Department of Chemistry , University of California , Berkeley , USA
- c Chemical Sciences Division , Lawrence Berkeley National Laboratory , Berkeley , USA
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21
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Helgaker T, Coriani S, Jørgensen P, Kristensen K, Olsen J, Ruud K. Recent Advances in Wave Function-Based Methods of Molecular-Property Calculations. Chem Rev 2012; 112:543-631. [DOI: 10.1021/cr2002239] [Citation(s) in RCA: 463] [Impact Index Per Article: 38.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Trygve Helgaker
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway
| | - Sonia Coriani
- Dipartimento di Scienze Chimiche e Farmaceutiche, Università degli Studi di Trieste, Via Giorgieri 1, I-34127 Trieste, Italy
| | - Poul Jørgensen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Kasper Kristensen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Jeppe Olsen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Tromsø, N-9037 Tromsø, Norway
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22
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Mizukami W, Nakajima T, Hirao K, Yanai T. A dual-level approach to four-component relativistic density-functional theory. Chem Phys Lett 2011. [DOI: 10.1016/j.cplett.2011.04.031] [Citation(s) in RCA: 3] [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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23
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Zhang IY, Wu J, Luo Y, Xu X. Accurate bond dissociation enthalpies by using doubly hybrid XYG3 functional. J Comput Chem 2011; 32:1824-38. [DOI: 10.1002/jcc.21764] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/30/2010] [Revised: 01/04/2010] [Accepted: 01/11/2010] [Indexed: 01/06/2023]
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24
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Zhang IY, Xu X. Doubly hybrid density functional for accurate description of thermochemistry, thermochemical kinetics and nonbonded interactions. INT REV PHYS CHEM 2011. [DOI: 10.1080/0144235x.2010.542618] [Citation(s) in RCA: 86] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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25
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Marshall MS, Sears JS, Burns LA, Brédas JL, Sherrill CD. An Error and Efficiency Analysis of Approximations to Møller−Plesset Perturbation Theory. J Chem Theory Comput 2010. [DOI: 10.1021/ct100468f] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Michael S. Marshall
- Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, and School of Computational Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, United States, and Center for Computational Molecular Science and Technology, Center for Organic Photonics and Electronics, and School of Chemistry and Biochemistry, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, United States
| | - John S. Sears
- Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, and School of Computational Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, United States, and Center for Computational Molecular Science and Technology, Center for Organic Photonics and Electronics, and School of Chemistry and Biochemistry, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, United States
| | - Lori A. Burns
- Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, and School of Computational Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, United States, and Center for Computational Molecular Science and Technology, Center for Organic Photonics and Electronics, and School of Chemistry and Biochemistry, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, United States
| | - Jean-Luc Brédas
- Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, and School of Computational Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, United States, and Center for Computational Molecular Science and Technology, Center for Organic Photonics and Electronics, and School of Chemistry and Biochemistry, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, United States
| | - C. David Sherrill
- Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, and School of Computational Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, United States, and Center for Computational Molecular Science and Technology, Center for Organic Photonics and Electronics, and School of Chemistry and Biochemistry, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, United States
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Steele RP, Head-Gordon M, Tully JC. Ab Initio Molecular Dynamics with Dual Basis Set Methods. J Phys Chem A 2010; 114:11853-60. [DOI: 10.1021/jp107342g] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Ryan P. Steele
- Department of Chemistry, Yale University, 225 Prospect St., New Haven, Connecticut 06520, United States, Department of Chemistry, University of California-Berkeley, Berkeley, California 94720, United States
| | - Martin Head-Gordon
- Department of Chemistry, Yale University, 225 Prospect St., New Haven, Connecticut 06520, United States, Department of Chemistry, University of California-Berkeley, Berkeley, California 94720, United States
| | - John C. Tully
- Department of Chemistry, Yale University, 225 Prospect St., New Haven, Connecticut 06520, United States, Department of Chemistry, University of California-Berkeley, Berkeley, California 94720, United States
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Kurlancheek W, Head-Gordon M. Violations of N-representability from spin-unrestricted orbitals in Møller–Plesset perturbation theory and related double-hybrid density functional theory. Mol Phys 2010. [DOI: 10.1080/00268970902835637] [Citation(s) in RCA: 60] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Steele RP, DiStasio Jr RA, Head-Gordon M, Li Y, Galli G. The 1,4-phenylenediisocyanide dimer: gas-phase properties and insights into organic self-assembled monolayers. Phys Chem Chem Phys 2010; 12:82-96. [DOI: 10.1039/b902194a] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Steele RP, DiStasio RA, Head-Gordon M. Non-Covalent Interactions with Dual-Basis Methods: Pairings for Augmented Basis Sets. J Chem Theory Comput 2009; 5:1560-72. [DOI: 10.1021/ct900058p] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Ryan P. Steele
- Department of Chemistry, University of California, Berkeley, California 94720
| | - Robert A. DiStasio
- Department of Chemistry, University of California, Berkeley, California 94720
| | - Martin Head-Gordon
- Department of Chemistry, University of California, Berkeley, California 94720
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