1
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Csóka J, Kállay M. Analytic gradients for local density fitting Hartree-Fock and Kohn-Sham methods. J Chem Phys 2023; 158:024110. [PMID: 36641408 DOI: 10.1063/5.0131683] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Abstract
We present analytic gradients for local density fitting Hartree-Fock (HF) and hybrid Kohn-Sham (KS) density functional methods. Due to the non-variational nature of the local fitting algorithm, the method of Lagrange multipliers is used to avoid the solution of the coupled perturbed HF and KS equations. We propose efficient algorithms for the solution of the arising Z-vector equations and the gradient calculation that preserve the third-order scaling and low memory requirement of the original local fitting algorithm. In order to demonstrate the speed and accuracy of our implementation, gradient calculations and geometry optimizations are presented for various molecular systems. Our results show that significant speedups can be achieved compared to conventional density fitting calculations without sacrificing accuracy.
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Affiliation(s)
- 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
| | - 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
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2
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Delesma FA, Delgado-Venegas RI, Salahub DR, Del Campo JM, Pedroza-Montero JN, Calaminici P, Köster AM. Self-Consistent Auxiliary Density Perturbation Theory. J Chem Theory Comput 2021; 17:6934-6946. [PMID: 34709812 DOI: 10.1021/acs.jctc.1c00713] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The working equations for the extension of auxiliary density perturbation theory (ADPT) to hybrid functionals, employing the variational fitting of the Fock potential, are derived. The response equations in the resulting self-consistent ADPT (SC-ADPT) are solved iteratively with an adapted Eirola-Nevanlinna algorithm. As a result, a memory and CPU time efficient implementation of perturbation theory free of four-center electron repulsion integrals (ERIs) is obtained. Our validation calculations of SC-ADPT static and dynamic polarizabilities show quantitative agreement with corresponding coupled perturbed Hartree-Fock and Kohn-Sham results employing four-center ERIs. The comparison of SC-ADPT hybrid functional polarizabilities with coupled cluster reference calculations yield semiquantitative agreement. The presented systematic study of the dynamic polarizabilities of oligothiophenes shows that hybrid functionals can overcome the pathological misplacement of excitation poles by the local density and generalized gradient approximations. Good agreement with experimental dynamic polarizabilities for all studied oligothiophenes is achieved with range-separated hybrid functionals in the framework of SC-ADPT.
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Affiliation(s)
- Francisco A Delesma
- Departamento de Química, Cinvestav-IPN, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07000, México.,Programa de Doctorado en Nanociencias y Nanotecnología, Cinvestav-IPN, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07000, México
| | - Rogelio I Delgado-Venegas
- Department of Chemistry, Department of Physics and Astronomy CMS - Centre for Molecular Simulation, IQST - Institute for Quantum Science and Technology and Quantum Alberta, University of Calgary, 2500 University Drive N.W., Calgary, AB Canada T2N 1N4
| | - Dennis R Salahub
- Department of Chemistry, Department of Physics and Astronomy CMS - Centre for Molecular Simulation, IQST - Institute for Quantum Science and Technology and Quantum Alberta, University of Calgary, 2500 University Drive N.W., Calgary, AB Canada T2N 1N4
| | - Jorge M Del Campo
- Departamento de Física y Química Teórica, Facultad de Química, Universidad Nacional Autónoma de México, Ciudad de México 04510, México
| | - Jesús N Pedroza-Montero
- Departamento de Química, Cinvestav-IPN, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07000, México.,Programa de Doctorado en Nanociencias y Nanotecnología, Cinvestav-IPN, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07000, México
| | - Patrizia Calaminici
- Departamento de Química, Cinvestav-IPN, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07000, México.,Programa de Doctorado en Nanociencias y Nanotecnología, Cinvestav-IPN, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07000, México
| | - Andreas M Köster
- Departamento de Química, Cinvestav-IPN, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07000, México.,Programa de Doctorado en Nanociencias y Nanotecnología, Cinvestav-IPN, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07000, México
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3
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Diagonalization-free self-consistent field approach with localized molecular orbitals. Theor Chem Acc 2021. [DOI: 10.1007/s00214-021-02850-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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4
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Reliability and performances of real-time time-dependent auxiliary density functional theory. Theor Chem Acc 2021. [DOI: 10.1007/s00214-021-02819-9] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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5
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Louisnard F, Geudtner G, Köster AM, Cuny J. Implementation of the parallel-tempering molecular dynamics method in deMon2k and application to the water hexamer. Theor Chem Acc 2021. [DOI: 10.1007/s00214-021-02765-6] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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6
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Geudtner G. Parallelization of deMon2k: an overview. Theor Chem Acc 2021. [DOI: 10.1007/s00214-021-02786-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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7
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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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8
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Omar KA, Hasnaoui K, de la Lande A. First-Principles Simulations of Biological Molecules Subjected to Ionizing Radiation. Annu Rev Phys Chem 2021; 72:445-465. [PMID: 33878897 DOI: 10.1146/annurev-physchem-101419-013639] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
Ionizing rays cause damage to genomes, proteins, and signaling pathways that normally regulate cell activity, with harmful consequences such as accelerated aging, tumors, and cancers but also with beneficial effects in the context of radiotherapies. While the great pace of research in the twentieth century led to the identification of the molecular mechanisms for chemical lesions on the building blocks of biomacromolecules, the last two decades have brought renewed questions, for example, regarding the formation of clustered damage or the rich chemistry involving the secondary electrons produced by radiolysis. Radiation chemistry is now meeting attosecond science, providing extraordinary opportunities to unravel the very first stages of biological matter radiolysis. This review provides an overview of the recent progress made in this direction, focusing mainly on the atto- to femto- to picosecond timescales. We review promising applications of time-dependent density functional theory in this context.
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Affiliation(s)
- Karwan Ali Omar
- Institut de Chimie Physique, CNRS UMR 8000, Université Paris-Saclay, 91405 Orsay, France; .,Department of Chemistry, College of Education, University of Sulaimani, 41005 Kurdistan, Iraq
| | - Karim Hasnaoui
- High Performance Computing User Support Team, Institut du Développement et des Ressources en Informatique Scientifique (IDRIS), 91403 Orsay, France.,Maison de la Simulation, CNRS, Commissariat à l'Energie Atomique et aux Énergies Alternatives (CEA), Université Paris-Saclay, 91191 Gif-sur-Yvette, France
| | - Aurélien de la Lande
- Institut de Chimie Physique, CNRS UMR 8000, Université Paris-Saclay, 91405 Orsay, France;
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9
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Pedroza-Montero JN, Delesma FA, Morales JL, Calaminici P, Köster AM. Variational fitting of the Fock exchange potential with modified Cholesky decomposition. J Chem Phys 2020; 153:134112. [DOI: 10.1063/5.0020084] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022] Open
Affiliation(s)
- Jesús Naín Pedroza-Montero
- Programa de Doctorado en Nanociencias y Nanotecnología, Cinvestav, Av. Instituto Politécnico Nacional, 2508, A.P. 14740, Ciudad de México 07000, Mexico
| | - Francisco Antonio Delesma
- Programa de Doctorado en Nanociencias y Nanotecnología, Cinvestav, Av. Instituto Politécnico Nacional, 2508, A.P. 14740, Ciudad de México 07000, Mexico
| | - José Luis Morales
- Departamento de Química, Cinvestav, Av. Instituto Politécnico Nacional, 2508, A.P. 14740, Ciudad de México 07000, Mexico
| | - Patrizia Calaminici
- Programa de Doctorado en Nanociencias y Nanotecnología, Cinvestav, Av. Instituto Politécnico Nacional, 2508, A.P. 14740, Ciudad de México 07000, Mexico
- Departamento de Química, Cinvestav, Av. Instituto Politécnico Nacional, 2508, A.P. 14740, Ciudad de México 07000, Mexico
| | - Andreas M. Köster
- Programa de Doctorado en Nanociencias y Nanotecnología, Cinvestav, Av. Instituto Politécnico Nacional, 2508, A.P. 14740, Ciudad de México 07000, Mexico
- Departamento de Química, Cinvestav, Av. Instituto Politécnico Nacional, 2508, A.P. 14740, Ciudad de México 07000, Mexico
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10
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Csóka J, Kállay M. Speeding up density fitting Hartree–Fock calculations with multipole approximations. Mol Phys 2020. [DOI: 10.1080/00268976.2020.1769213] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- József Csóka
- Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, Budapest, Hungary
| | - Mihály Kállay
- Department of Physical Chemistry and Materials Science, Budapest University of Technology and Economics, Budapest, Hungary
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11
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Pedroza-Montero JN, Morales JL, Geudtner G, Álvarez-Ibarra A, Calaminici P, Köster AM. Variational Density Fitting with a Krylov Subspace Method. J Chem Theory Comput 2020; 16:2965-2974. [PMID: 32223134 DOI: 10.1021/acs.jctc.9b01212] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
In this work, we present the implementation of a variational density fitting methodology that uses iterative linear algebra for solving the associated system of linear equations. It is well known that most difficulties with this system arise from the fact that the coefficient matrix is in general ill-conditioned and, due to finite precision round-off errors, it may not be positive definite. The dimensionality, given by the number of auxiliary functions, also poses a challenge in terms of memory and time demand since the coefficient matrix is dense. The methodology presented is based on a preconditioned Krylov subspace method able to deal with indefinite ill-conditioned equation systems. To assess its potential, it has been combined with double asymptotic electron repulsion integral expansions as implemented in the deMon2k package. A numerical study on a set of problems with up to 130,000 auxiliary functions shows its effectiveness to alleviate the abovementioned problematic. A comparison with the default methodology used in deMon2k based on a truncated eigenvalue decomposition of the coefficient matrix indicates that the proposed method exhibits excellent robustness and scalability when implemented in a parallel setting.
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Affiliation(s)
- Jesús N Pedroza-Montero
- Programa de Doctorado de Nanociencias y Nanotecnologı́as, CINVESTAV, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07360, Mexico
| | - José Luis Morales
- Departamento de Quı́mica, CINVESTAV, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07360, Mexico
| | - Gerald Geudtner
- Departamento de Quı́mica, CINVESTAV, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07360, Mexico
| | - Aurelio Álvarez-Ibarra
- Laboratoire de Chimie Physique, Université Paris Sud, CNRS, Université Paris Saclay. 15 avenue Jean Perrin, F91405 Orsay, France
| | - Patrizia Calaminici
- Programa de Doctorado de Nanociencias y Nanotecnologı́as, CINVESTAV, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07360, Mexico.,Departamento de Quı́mica, CINVESTAV, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07360, Mexico
| | - Andreas M Köster
- Programa de Doctorado de Nanociencias y Nanotecnologı́as, CINVESTAV, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07360, Mexico.,Departamento de Quı́mica, CINVESTAV, Av. Instituto Politécnico Nacional 2508, Ciudad de México 07360, Mexico
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12
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Mejía-Rodríguez D, de la Lande A. Multicomponent density functional theory with density fitting. J Chem Phys 2019; 150:174115. [DOI: 10.1063/1.5078596] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Daniel Mejía-Rodríguez
- Laboratoire de Chimie Physique, Université Paris Sud/CNRS, Université Paris Saclay, 15 Avenue Jean Perrin, 91405 Orsay, France
| | - Aurélien de la Lande
- Laboratoire de Chimie Physique, Université Paris Sud/CNRS, Université Paris Saclay, 15 Avenue Jean Perrin, 91405 Orsay, France
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13
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de la Lande A, Alvarez-Ibarra A, Hasnaoui K, Cailliez F, Wu X, Mineva T, Cuny J, Calaminici P, López-Sosa L, Geudtner G, Navizet I, Garcia Iriepa C, Salahub DR, Köster AM. Molecular Simulations with in-deMon2k QM/MM, a Tutorial-Review. Molecules 2019; 24:molecules24091653. [PMID: 31035516 PMCID: PMC6539060 DOI: 10.3390/molecules24091653] [Citation(s) in RCA: 26] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/01/2019] [Revised: 04/11/2019] [Accepted: 04/12/2019] [Indexed: 12/18/2022] Open
Abstract
deMon2k is a readily available program specialized in Density Functional Theory (DFT) simulations within the framework of Auxiliary DFT. This article is intended as a tutorial-review of the capabilities of the program for molecular simulations involving ground and excited electronic states. The program implements an additive QM/MM (quantum mechanics/molecular mechanics) module relying either on non-polarizable or polarizable force fields. QM/MM methodologies available in deMon2k include ground-state geometry optimizations, ground-state Born-Oppenheimer molecular dynamics simulations, Ehrenfest non-adiabatic molecular dynamics simulations, and attosecond electron dynamics. In addition several electric and magnetic properties can be computed with QM/MM. We review the framework implemented in the program, including the most recently implemented options (link atoms, implicit continuum for remote environments, metadynamics, etc.), together with six applicative examples. The applications involve (i) a reactivity study of a cyclic organic molecule in water; (ii) the establishment of free-energy profiles for nucleophilic-substitution reactions by the umbrella sampling method; (iii) the construction of two-dimensional free energy maps by metadynamics simulations; (iv) the simulation of UV-visible absorption spectra of a solvated chromophore molecule; (v) the simulation of a free energy profile for an electron transfer reaction within Marcus theory; and (vi) the simulation of fragmentation of a peptide after collision with a high-energy proton.
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Affiliation(s)
- Aurélien de la Lande
- Laboratoire de Chimie Physique, CNRS, Université Paris Sud, Université Paris Saclay, 15 avenue Jean Perrin, 91405 Orsay, France.
| | - Aurelio Alvarez-Ibarra
- Laboratoire de Chimie Physique, CNRS, Université Paris Sud, Université Paris Saclay, 15 avenue Jean Perrin, 91405 Orsay, France.
| | - Karim Hasnaoui
- Laboratoire de Chimie Physique, CNRS, Université Paris Sud, Université Paris Saclay, 15 avenue Jean Perrin, 91405 Orsay, France.
| | - Fabien Cailliez
- Laboratoire de Chimie Physique, CNRS, Université Paris Sud, Université Paris Saclay, 15 avenue Jean Perrin, 91405 Orsay, France.
| | - Xiaojing Wu
- Laboratoire de Chimie Physique, CNRS, Université Paris Sud, Université Paris Saclay, 15 avenue Jean Perrin, 91405 Orsay, France.
- CNRS Laboratoire de Biochimie Théorique, Institut de Biologie Physico-Chimique, PSL University, 75005 Paris, France.
| | - Tzonka Mineva
- Matériaux Avancés pour la Catalyse et la Santé, UMR 5253 CNRS/UM/ENSCM, Institut Charles Gerhardt de Montpellier (ICGM) Montpellier CEDEX 5, 34090 Montpellier, France.
| | - Jérôme Cuny
- Laboratoire de Chimie et Physique Quantiques, IRSAMC, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse CEDEX 4, France.
| | - Patrizia Calaminici
- Programa de Doctorado en Nanociencias y Nanotecnología, CINVESTAV, Av. Instituto Politécnico Nacional, 2508, A.P. 14-740, Ciudad de México 07000, Mexico.
- Departamento de Química, CINVESTAV, Av. Instituto Politécnico Nacional, 2508, A.P. 14-740, Ciudad de México 07000, México.
| | - Luis López-Sosa
- Departamento de Química, CINVESTAV, Av. Instituto Politécnico Nacional, 2508, A.P. 14-740, Ciudad de México 07000, México.
| | - Gerald Geudtner
- Departamento de Química, CINVESTAV, Av. Instituto Politécnico Nacional, 2508, A.P. 14-740, Ciudad de México 07000, México.
| | - Isabelle Navizet
- Laboratoire Modélisation et Simulation Multi Échelle, Université Paris-Est, MSME, UMR 8208 CNRS, UPEM, 5 bd Descartes, 77454 Marne-la-Vallée, France.
| | - Cristina Garcia Iriepa
- Laboratoire Modélisation et Simulation Multi Échelle, Université Paris-Est, MSME, UMR 8208 CNRS, UPEM, 5 bd Descartes, 77454 Marne-la-Vallée, France.
| | - Dennis R Salahub
- Department of Chemistry, Centre for Molecular Simulation, Institute for Quantum Science and Technology and Quantum Alberta, University of Calgary, 2500 University Drive N.W., Calgary, AB T2N 1N4, Canada.
- College of Chemistry and Chemical Engineering, Henan University of Technology, No. 100, Lian Hua Street, High-Tech Development Zone, Zhengzhou 450001, China.
| | - Andreas M Köster
- Programa de Doctorado en Nanociencias y Nanotecnología, CINVESTAV, Av. Instituto Politécnico Nacional, 2508, A.P. 14-740, Ciudad de México 07000, Mexico.
- Departamento de Química, CINVESTAV, Av. Instituto Politécnico Nacional, 2508, A.P. 14-740, Ciudad de México 07000, México.
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14
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Mester D, Kállay M. Reduced-Scaling Approach for Configuration Interaction Singles and Time-Dependent Density Functional Theory Calculations Using Hybrid Functionals. J Chem Theory Comput 2019; 15:1690-1704. [DOI: 10.1021/acs.jctc.8b01199] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023]
Affiliation(s)
- Dávid Mester
- 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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15
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Gómez-Pérez JR, Delesma FA, Calaminici P, Köster AM. Accuracy of auxiliary density functional theory hybrid calculations for activation and reaction enthalpies of pericyclic reactions. J Mol Model 2018; 24:223. [PMID: 30078124 DOI: 10.1007/s00894-018-3759-8] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/28/2018] [Accepted: 07/24/2018] [Indexed: 11/28/2022]
Abstract
Auxiliary density functional theory (ADFT) hybrid calculations are based on the variational fitting of the Coulomb and Fock potential and, therefore, are free of four-center electron repulsion integrals. So far, ADFT hybrid calculations have been validated successfully for standard enthalpies of formation. In this work the accuracy of ADFT hybrid calculations for the description of pericyclic reactions was quantitatively validated at the B3LYP/6-31G*/GEN-A2* level of theory. Our comparison with conventional Kohn-Sham density functional theory (DFT) results shows that the DFT and ADFT activation and reaction enthalpies are practically indistinguishable. A systematic study of various functionals (PBE, B3LYP, PBE0, CAMB3LYP, CAMPBE0 and HSE06) and basis sets (6-31G*, DZVP-GGA and aug-cc-pVXZ; X = D, T and Q) revealed that the ADFT HSE06/aug-cc-pVTZ/GEN-A2* level of theory yields best balanced accuracy for the activation and reaction enthalpies of the studied pericyclic reactions. With the successfully validate ADFT composite approach consisting of PBE/DZVP-GGA/GEN-A2* structure and transition state optimizations and single-point HSE06/aug-cc-pVTZ/GEN-A2* energy calculations, an accurate, reliable and efficient computational approach for the study of pericyclic reactions in systems at the nanometer scale is proposed.
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Affiliation(s)
- José R Gómez-Pérez
- Departamento de Química, CINVESTAV, Centro de Investigación y de Estudios Avanzados, Av. Instituto Politécnico Nacional 2508, A.P. 14-740, 07000, México D.F, Mexico
| | - Francisco A Delesma
- Programa de Doctorado en Nanociencias y Nanotecnología, CINVESTAV, Instituto Politécnico Nacional 2508, A.P. 14-740, 07000, Ciudad de México, Mexico
| | - Patrizia Calaminici
- Departamento de Química, CINVESTAV, Centro de Investigación y de Estudios Avanzados, Av. Instituto Politécnico Nacional 2508, A.P. 14-740, 07000, México D.F, Mexico. .,Programa de Doctorado en Nanociencias y Nanotecnología, CINVESTAV, Instituto Politécnico Nacional 2508, A.P. 14-740, 07000, Ciudad de México, Mexico.
| | - Andreas M Köster
- Departamento de Química, CINVESTAV, Centro de Investigación y de Estudios Avanzados, Av. Instituto Politécnico Nacional 2508, A.P. 14-740, 07000, México D.F, Mexico. .,Programa de Doctorado en Nanociencias y Nanotecnología, CINVESTAV, Instituto Politécnico Nacional 2508, A.P. 14-740, 07000, Ciudad de México, Mexico.
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