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Deng Z, Liu C, Li Z, Zhang Y. An efficient method by combining different basis sets and SAPT levels. J Comput Chem 2024; 45:1936-1944. [PMID: 38703182 DOI: 10.1002/jcc.27386] [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: 11/13/2023] [Revised: 04/15/2024] [Accepted: 04/18/2024] [Indexed: 05/06/2024]
Abstract
In symmetry-adapted perturbation theory (SAPT), accurate calculations on non-covalent interaction (NCI) for large complexes with more than 50 atoms are time-consuming using large basis sets. More efficient ones with smaller basis sets usually result in poor prediction in terms of dispersion and overall energies. In this study, we propose two composite methods with baseline calculated at SAPT2/aug-cc-pVDZ and SAPT2/aug-cc-pVTZ with dispersion term corrected at SAPT2+ level using bond functions and smaller basis set with δ MP2 corrections respectively. Benchmark results on representative NCI data sets, such as S22, S66, and so forth, show significant improvements on the accuracy compared to the original SAPT Silver standard and comparable to SAPT Gold standard in some cases with much less computational cost.
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Affiliation(s)
- Zhihao Deng
- Beijing StoneWise Technology Co Ltd., Beijing, China
| | - Chang Liu
- Beijing StoneWise Technology Co Ltd., Beijing, China
| | - Zhongwei Li
- Yantai Gogetter Technology Co Ltd., Yantai, China
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2
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Zhao MM, Wang BB, Han YC. Full-dimensional quantum mechanical study of
He3+He3+X− → He3+He3X−(X=HorD). PHYSICAL REVIEW RESEARCH 2022; 4:013030. [DOI: 10.1103/physrevresearch.4.013030] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/01/2023]
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3
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Kodrycka M, Patkowski K. Efficient Density-Fitted Explicitly Correlated Dispersion and Exchange Dispersion Energies. J Chem Theory Comput 2021; 17:1435-1456. [PMID: 33606539 DOI: 10.1021/acs.jctc.0c01158] [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
The leading-order dispersion and exchange-dispersion terms in symmetry-adapted perturbation theory (SAPT), Edisp(20) and Eexch-disp(20), suffer from slow convergence to the complete basis set limit. To alleviate this problem, explicitly correlated variants of these corrections, Edisp(20)-F12 and Eexch-disp(20)-F12, have been proposed recently. However, the original formalism (M., Kodrycka , J. Chem. Theory Comput. 2019, 15, 5965-5986), while highly successful in terms of improving convergence, was not competitive to conventional orbital-based SAPT in terms of computational efficiency due to the need to manipulate several kinds of two-electron integrals. In this work, we eliminate this need by decomposing all types of two-electron integrals using robust density fitting. We demonstrate that the error of the density fitting approximation is negligible when standard auxiliary bases such as aug-cc-pVXZ/MP2FIT are employed. The new implementation allowed us to study all complexes in the A24 database in basis sets up to aug-cc-pV5Z, and the Edisp(20)-F12 and Eexch-disp(20)-F12 values exhibit vastly improved basis set convergence over their conventional counterparts. The well-converged Edisp(20)-F12 and Eexch-disp(20)-F12 numbers can be substituted for conventional Edisp(20) and Eexch-disp(20) ones in a calculation of the total SAPT interaction energy at any level (SAPT0, SAPT2+3, ...). We show that the addition of F12 terms does not improve the accuracy of low-level SAPT treatments. However, when the theory errors are minimized in high-level SAPT approaches such as SAPT2+3(CCD)δMP2, the reduction of basis set incompleteness errors thanks to the F12 treatment substantially improves the accuracy of small-basis calculations.
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Affiliation(s)
- Monika Kodrycka
- Department of Chemistry and Biochemistry, Auburn University, Auburn, Alabama 36849, United States
| | - Konrad Patkowski
- Department of Chemistry and Biochemistry, Auburn University, Auburn, Alabama 36849, United States
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4
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Kodrycka M, Holzer C, Klopper W, Patkowski K. Correction to Explicitly Correlated Dispersion and Exchange Dispersion Energies in Symmetry-Adapted Perturbation Theory. J Chem Theory Comput 2020; 16:7220-7223. [DOI: 10.1021/acs.jctc.0c01011] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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5
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Brieuc F, Schran C, Uhl F, Forbert H, Marx D. Converged quantum simulations of reactive solutes in superfluid helium: The Bochum perspective. J Chem Phys 2020; 152:210901. [DOI: 10.1063/5.0008309] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023] Open
Affiliation(s)
- Fabien Brieuc
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, 44780 Bochum, Germany
| | - Christoph Schran
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, 44780 Bochum, Germany
| | - Felix Uhl
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, 44780 Bochum, Germany
| | - Harald Forbert
- Center for Solvation Science ZEMOS, Ruhr-Universität Bochum, 44780 Bochum, Germany
| | - Dominik Marx
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, 44780 Bochum, Germany
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6
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Garcia J, Podeszwa R, Szalewicz K. SAPT codes for calculations of intermolecular interaction energies. J Chem Phys 2020; 152:184109. [PMID: 32414261 DOI: 10.1063/5.0005093] [Citation(s) in RCA: 29] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022] Open
Abstract
Symmetry-adapted perturbation theory (SAPT) is a method for calculations of intermolecular (noncovalent) interaction energies. The set of SAPT codes that is described here, the current version named SAPT2020, includes virtually all variants of SAPT developed so far, among them two-body SAPT based on perturbative, coupled cluster, and density functional theory descriptions of monomers, three-body SAPT, and two-body SAPT for some classes of open-shell monomers. The properties of systems governed by noncovalent interactions can be predicted only if potential energy surfaces (force fields) are available. SAPT is the preferred approach for generating such surfaces since it is seamlessly connected to the asymptotic expansion of interaction energy. SAPT2020 includes codes for automatic development of such surfaces, enabling generation of complete dimer surfaces with a rigid monomer approximation for dimers containing about one hundred atoms. These codes can also be used to obtain surfaces including internal degrees of freedom of monomers.
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Affiliation(s)
- Javier Garcia
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
| | - Rafał Podeszwa
- Institute of Chemistry, University of Silesia at Katowice, Szkolna 9, Katowice, Poland
| | - Krzysztof Szalewicz
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
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7
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Patkowski K. Recent developments in symmetry‐adapted perturbation theory. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2019. [DOI: 10.1002/wcms.1452] [Citation(s) in RCA: 53] [Impact Index Per Article: 10.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
Affiliation(s)
- Konrad Patkowski
- Department of Chemistry and Biochemistry Auburn University Auburn Alabama
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8
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Kodrycka M, Holzer C, Klopper W, Patkowski K. Explicitly Correlated Dispersion and Exchange Dispersion Energies in Symmetry-Adapted Perturbation Theory. J Chem Theory Comput 2019; 15:5965-5986. [PMID: 31503481 DOI: 10.1021/acs.jctc.9b00547] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The individual interaction energy terms in symmetry-adapted perturbation theory (SAPT) not only have different physical interpretations but also converge to their complete basis set (CBS) limit values at quite different rates. Dispersion energy is notoriously the slowest converging interaction energy contribution, and exchange dispersion energy, while smaller in absolute value, converges just as poorly in relative terms. To speed up the basis set convergence of the lowest-order SAPT dispersion and exchange dispersion energies, we borrow the techniques from explicitly correlated (F12) electronic structure theory and develop practical expressions for the closed-shell Edisp(20)-F12 and Eexch-disp(20)-F12 contributions. While the latter term has been derived and implemented for the first time, the former correction was recently proposed by Przybytek [ J. Chem. Theory Comput. 2018 , 14 , 5105 - 5117 ] using an Ansatz with a full optimization of the explicitly correlated amplitudes. In addition to reimplementing the fully optimized variant of Edisp(20)-F12, we propose three approximate Ansätze that substantially improve the scaling of the method and at the same time avoid the numerical instabilities of the unrestricted optimization. The performance of all four resulting flavors of Edisp(20)-F12 and Eexch-disp(20)-F12 is first tested on helium, neon, argon, water, and methane dimers, with orbital and auxiliary basis sets up to aug-cc-pV5Z and aug-cc-pV5Z-RI, respectively. The double- and triple-ζ basis set calculations are then extended to the entire A24 database of noncovalent interaction energies and compared with CBS estimates for Edisp(20) and Eexch-disp(20) computed using conventional SAPT with basis sets up to aug-cc-pV6Z with midbond functions. It is shown that the F12 treatment is highly successful in improving the basis set convergence of the SAPT terms, with the F12 calculations in an X-tuple ζ basis about as accurate as conventional calculations in bases with cardinal numbers (X + 2) for Edisp(20) and either (X + 1) or (X + 2) for Eexch-disp(20). While the full amplitude optimization affords the highest accuracy for both corrections, the much simpler and numerically stable optimized diagonal Ansatz is a very close second. We have also tested the performance of the simple F12 correction based on the second-order Møller-Plesset perturbation theory, SAPT-F12(MP2) [ Frey , J. A. ; Chem. Rev. 2016 , 116 , 5614 - 5641 ] and observed that it is also quite successful in speeding up the basis set convergence of conventional Edisp(20) + Eexch-disp(20), albeit with some outliers.
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Affiliation(s)
- Monika Kodrycka
- Department of Chemistry and Biochemistry , Auburn University , Auburn , Alabama 36849 , United States
| | - Christof Holzer
- Theoretical Chemistry Group, Institute of Physical Chemistry , Karlsruhe Institute of Technology (KIT) , KIT Campus South , P.O. Box 6980, D-76049 Karlsruhe , Germany
| | - Wim Klopper
- Theoretical Chemistry Group, Institute of Physical Chemistry , Karlsruhe Institute of Technology (KIT) , KIT Campus South , P.O. Box 6980, D-76049 Karlsruhe , Germany
| | - Konrad Patkowski
- Department of Chemistry and Biochemistry , Auburn University , Auburn , Alabama 36849 , United States
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9
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Kodrycka M, Patkowski K. Platinum, gold, and silver standards of intermolecular interaction energy calculations. J Chem Phys 2019; 151:070901. [DOI: 10.1063/1.5116151] [Citation(s) in RCA: 26] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Monika Kodrycka
- Department of Chemistry and Biochemistry, Auburn University, Auburn, Alabama 36849, USA
| | - Konrad Patkowski
- Department of Chemistry and Biochemistry, Auburn University, Auburn, Alabama 36849, USA
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10
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Andrés J, Ayers PW, Boto RA, Carbó-Dorca R, Chermette H, Cioslowski J, Contreras-García J, Cooper DL, Frenking G, Gatti C, Heidar-Zadeh F, Joubert L, Martín Pendás Á, Matito E, Mayer I, Misquitta AJ, Mo Y, Pilmé J, Popelier PLA, Rahm M, Ramos-Cordoba E, Salvador P, Schwarz WHE, Shahbazian S, Silvi B, Solà M, Szalewicz K, Tognetti V, Weinhold F, Zins ÉL. Nine questions on energy decomposition analysis. J Comput Chem 2019; 40:2248-2283. [PMID: 31251411 DOI: 10.1002/jcc.26003] [Citation(s) in RCA: 88] [Impact Index Per Article: 17.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/13/2019] [Accepted: 05/16/2019] [Indexed: 01/05/2023]
Abstract
The paper collects the answers of the authors to the following questions: Is the lack of precision in the definition of many chemical concepts one of the reasons for the coexistence of many partition schemes? Does the adoption of a given partition scheme imply a set of more precise definitions of the underlying chemical concepts? How can one use the results of a partition scheme to improve the clarity of definitions of concepts? Are partition schemes subject to scientific Darwinism? If so, what is the influence of a community's sociological pressure in the "natural selection" process? To what extent does/can/should investigated systems influence the choice of a particular partition scheme? Do we need more focused chemical validation of Energy Decomposition Analysis (EDA) methodology and descriptors/terms in general? Is there any interest in developing common benchmarks and test sets for cross-validation of methods? Is it possible to contemplate a unified partition scheme (let us call it the "standard model" of partitioning), that is proper for all applications in chemistry, in the foreseeable future or even in principle? In the end, science is about experiments and the real world. Can one, therefore, use any experiment or experimental data be used to favor one partition scheme over another? © 2019 Wiley Periodicals, Inc.
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Affiliation(s)
- Juan Andrés
- Departament de Ciències Experimentals Universitat Jaume I, 12080, Castelló, Spain
| | - Paul W Ayers
- Department of Chemistry and Chemical Biology, McMaster University, 1280 Main Street West, L8S 4M1, Hamilton, Ontario, Canada
| | | | - Ramon Carbó-Dorca
- Institut de Química Computational i Catàlisi, Universitat de Girona, C/M Aurelia Capmany 69, 17003, Girona, Spain
| | - Henry Chermette
- Université Lyon 1 et UMR CNRS 5280 Institut Sciences Analytiques, Université de Lyon, 69622, Paris, France
| | - Jerzy Cioslowski
- Institute of Physics, University of Szczecin, Wielkopolska, 15, 70-451, Szczecin, Poland
| | | | - David L Cooper
- Department of Chemistry, University of Liverpool, Liverpool, L69 7ZD, United Kingdom
| | - Gernot Frenking
- Fachbereich Chemie, Philipps-Universität Marburg, Hans-Meerweinstr. 4, 35032, Marburg, Germany
| | - Carlo Gatti
- CNR-ISTM Istituto di Scienze e Tecnologie Molecolari, via Golgi 19, 20133, Milan, Italy and Istituto Lombardo Accademia di Scienze e Lettere, via Brera 28, 20121, Milan, Italy
| | - Farnaz Heidar-Zadeh
- Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg, Luxembourg and Department of Chemistry, Queen's University, Kingston, Ontario K7L 3N6, Canada
| | - Laurent Joubert
- COBRA UMR 6014 & FR 3038, INSA Rouen, CNRS, Université de Rouen Normandie, Mont-St-Aignan, France
| | - Ángel Martín Pendás
- Departamento de Química Física y Analítica, Universidad de Oviedo, 33006, Oviedo, Spain
| | - Eduard Matito
- Kimika Fakultatea, Euskal Herriko Unibertsitatea (UPV/EHU), and Donostia International Physics Center (DIPC), P.K. 1072, 20080, Donostia, Euskadi, Spain.,IKERBASQUE, Basque Foundation for Science, 48011, Bilbao, Euskadi, Spain
| | - István Mayer
- Institute of Organic Chemistry, Research Centre for Natural Sciences, Hungarian Academy of Sciences, Budapest, 1117, Hungary
| | - Alston J Misquitta
- School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London, E1 4NS, United Kingdom
| | - Yirong Mo
- Chemistry Department, Western Michigan University, Kalamazoo, Michigan, 49008
| | - Julien Pilmé
- Sorbonne Université, CNRS, LCT, UMR 7616, 4 place Jussieu, 75005, Paris, France
| | - Paul L A Popelier
- Manchester Institute of Biotechnology (MIB), 131 Princess Street, Manchester, M1 7DN, United Kingdom.,School of Chemistry, University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom
| | - Martin Rahm
- Department of Chemistry and Chemical Engineering, Chalmers University of Technology, 412 96, Gothenburg, Sweden
| | - Eloy Ramos-Cordoba
- Kimika Fakultatea, Euskal Herriko Unibertsitatea (UPV/EHU), and Donostia International Physics Center (DIPC), P.K. 1072, 20080, Donostia, Euskadi, Spain
| | - Pedro Salvador
- Institut de Química Computacional i Catàlisi, Universitat de Girona, C/M Aurelia Capmany 69, 17003, Girona, Spain
| | - W H Eugen Schwarz
- Theoretical Chemistry Center at Tsinghua University, Beijing, 100084, China.,Physical and Theoretical Chemistry Laboratory, Faculty of Science and Engineering, University of Siegen, Siegen, 57068, Germany
| | - Shant Shahbazian
- Department of Physics, Shahid Beheshti University, P.O. Box 19395-4716, G. C., Evin, 19839, Tehran, Iran
| | - Bernard Silvi
- Sorbonne Université, CNRS, LCT, UMR 7616, 4 place Jussieu, 75005, Paris, France
| | - Miquel Solà
- Institut de Química Computacional i Catàlisi, Universitat de Girona, C/M Aurelia Capmany 69, 17003, Girona, Spain
| | - Krzysztof Szalewicz
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware
| | - Vincent Tognetti
- COBRA UMR 6014 & FR 3038, INSA Rouen, CNRS, Université de Rouen Normandie, Mont-St-Aignan, France
| | - Frank Weinhold
- Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin-Madison, Madison, Wisconsin, 53706
| | - Émilie-Laure Zins
- Sorbonne Université, UPMC Univ. Paris 06, MONARIS, UMR 8233, Université Pierre et Marie Curie, 4 Place Jussieu, Case Courrier 49, 75252, Paris, France
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11
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Zhang H, Lavorel B, Billard F, Hartmann JM, Hertz E, Faucher O, Ma J, Wu J, Gershnabel E, Prior Y, Averbukh IS. Rotational Echoes as a Tool for Investigating Ultrafast Collisional Dynamics of Molecules. PHYSICAL REVIEW LETTERS 2019; 122:193401. [PMID: 31144959 DOI: 10.1103/physrevlett.122.193401] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/25/2018] [Indexed: 06/09/2023]
Abstract
We show that recently discovered rotational echoes of molecules provide an efficient tool for studying collisional molecular dynamics in high-pressure gases. Our study demonstrates that rotational echoes enable the observation of extremely fast collisional dissipation, at timescales of the order of a few picoseconds, and possibly shorter. The decay of the rotational alignment echoes in CO_{2} gas and CO_{2}-He mixture up to 50 bar was studied experimentally, delivering collision rates that are in good agreement with the theoretical expectations. The suggested measurement protocol may be used in other high-density media, and potentially in liquids.
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Affiliation(s)
- H Zhang
- Laboratoire Interdisciplinaire CARNOT de Bourgogne, UMR 6303 CNRS-Université de Bourgogne Franche-Comté, BP 47870, 21078 Dijon, France
| | - B Lavorel
- Laboratoire Interdisciplinaire CARNOT de Bourgogne, UMR 6303 CNRS-Université de Bourgogne Franche-Comté, BP 47870, 21078 Dijon, France
| | - F Billard
- Laboratoire Interdisciplinaire CARNOT de Bourgogne, UMR 6303 CNRS-Université de Bourgogne Franche-Comté, BP 47870, 21078 Dijon, France
| | - J-M Hartmann
- Laboratoire de Météorologie Dynamique/IPSL, CNRS, École polytechnique, Sorbonne Université, École Normale Supérieure, PSL Research University, F-91120 Palaiseau, France
| | - E Hertz
- Laboratoire Interdisciplinaire CARNOT de Bourgogne, UMR 6303 CNRS-Université de Bourgogne Franche-Comté, BP 47870, 21078 Dijon, France
| | - O Faucher
- Laboratoire Interdisciplinaire CARNOT de Bourgogne, UMR 6303 CNRS-Université de Bourgogne Franche-Comté, BP 47870, 21078 Dijon, France
| | - Junyang Ma
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
| | - Jian Wu
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
| | - Erez Gershnabel
- AMOS and Department of Chemical and Biological Physics, The Weizmann Institute of Science, Rehovot 76100, Israel
| | - Yehiam Prior
- AMOS and Department of Chemical and Biological Physics, The Weizmann Institute of Science, Rehovot 76100, Israel
| | - Ilya Sh Averbukh
- AMOS and Department of Chemical and Biological Physics, The Weizmann Institute of Science, Rehovot 76100, Israel
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12
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Wang BB, Jing SH, Zeng TX. Cold atom-atom-anion three-body recombination of 4He 4He xLi - (x = 6 or 7) systems. J Chem Phys 2019; 150:094301. [PMID: 30849889 DOI: 10.1063/1.5087522] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Atom-atom-anion three-body recombination (TBR) in mixed 4He and xLi- (x = 6 or 7) is investigated in the adiabatic hyperspherical representation by quantum mechanically solving the Schrödinger equation. The distributions of product states following these TBR processes are found to be relatively different for the two systems when the collision energy is less than roughly 0.6 mK × kB or 0.3 mK × kB for 4He4He6Li- and 4He4He7Li- systems, respectively, with kB being the Boltzmann constant. For 4He4He6Li- systems, the rate of recombination into (v=0) l = 04He6Li- molecular anions is the largest with v and l denoting the rovibrational quantum numbers, while the TBR rate that leads to the formation of l = 14He6Li- molecular anions is a little smaller than that of neutral 4He2 molecules. For 4He4He7Li- systems, neutral 4He2 molecules tend to be the most products, following the yields of l = 0 and 1 4He7Li- molecular anions. However, in spite of these distinctly different distributions, the products of molecular anions, the sum of l = 0 and 1 4HexLi- products, are relatively larger than that of neutral 4He2 molecules for both the two systems.
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Affiliation(s)
- Bin-Bin Wang
- Physics and Space Science College, China West Normal University, Nanchong 637002, China
| | - Su-Hua Jing
- Department of Mathematics and Physics, Officers College of PAP, Chengdu 610213, China
| | - Ti-Xian Zeng
- Physics and Space Science College, China West Normal University, Nanchong 637002, China
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13
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Garberoglio G, Jankowski P, Szalewicz K, Harvey AH. Fully quantum calculation of the second and third virial coefficients of water and its isotopologues from ab initio potentials. Faraday Discuss 2018; 212:467-497. [PMID: 30302450 PMCID: PMC6561489 DOI: 10.1039/c8fd00092a] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
Path-Integral Monte Carlo methods were applied to calculate the second, B(T), and the third, C(T), virial coefficients for water. A fully quantum approach and state-of-the-art flexible-monomer pair and three-body potentials were used. Flexible-monomer potentials allow calculations for any isotopologue; we performed calculations for both H2O and D2O. For B(T) of H2O, the quantum effect contributes 25% of the value at 300 K and is not entirely negligible even at 1000 K, in accordance with recent literature findings. The effect of monomer flexibility, while not as large as some claims in the literature, is significant compared to the experimental uncertainty. It is of opposite sign to the quantum effect, smaller in magnitude than the latter below 500 K, and varies from 2% at 300 K to 10% at 700 K. When monomer flexibility is accounted for, results from the CCpol-8sf pair potential are in excellent agreement with the available experimental data and provide reliable B(T) values at temperatures outside the range of experimental data. The flexible-monomer MB-pol pair potential yields B(T) values that are slightly too high compared to experiment. For C(T), our calculations confirm earlier findings that the use of three-body potential is necessary for meaningful predictions. However, due to various uncertainties of the potentials used, especially the three-body ones, we were not able to establish benchmark values of C(T), although our results are in qualitative agreement with available experimental data. The quantum effect, never before included for water, reduces the magnitude of the classical value for H2O by a factor of 2.5 at 300 K and is not entirely negligible even at 1000 K.
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Affiliation(s)
- Giovanni Garberoglio
- European Centre for Theoretical Studies in Nuclear Physics and Related Areas (FBK-ECT*), strada delle Tabarelle 286, I-38123 Trento, Italy. and Trento Institute for Fundamental Physics and Applications (TIFPA-INFN), via Sommarive 18, I-38213 Trento, Italy
| | - Piotr Jankowski
- Faculty of Chemistry, Nicolaus Copernicus University in Torun, Gagarina 7, PL-87-100 Torun, Poland.
| | - Krzysztof Szalewicz
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA.
| | - Allan H Harvey
- Applied Chemicals and Materials Division, National Institute of Standards and Technology, Boulder, Colorado 80305-3337, USA.
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14
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Gatsiou CA, Adjiman CS, Pantelides CC. Repulsion-dispersion parameters for the modelling of organic molecular crystals containing N, O, S and Cl. Faraday Discuss 2018; 211:297-323. [PMID: 30094433 DOI: 10.1039/c8fd00064f] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Abstract
In lattice energy models that combine ab initio and empirical components, it is important to ensure consistency between these components so that meaningful quantitative results are obtained. A method for deriving parameters of atom-atom repulsion dispersion potentials for crystals, tailored to different ab initio models, is presented. It is based on minimization of the sum of squared deviations between experimental and calculated structures and energies. The solution algorithm is designed to avoid convergence to local minima in the parameter space by combining a deterministic low-discrepancy sequence for the generation of multiple initial parameter guesses with an efficient local minimization algorithm. The proposed approach is applied to derive transferable exp-6 potential parameters suitable for use in conjunction with a distributed multipole electrostatics model derived from isolated molecule charge densities calculated at the M06/6-31G(d,p) level of theory. Data for hydrocarbons, azahydrocarbons, oxohydrocarbons, organosulphur compounds and chlorohydrocarbons are used for the estimation. A good fit is achieved for the new set of parameters with a mean absolute error in sublimation enthalpies of 4.1 kJ mol-1 and an average rmsd15 of 0.31 Å. The parameters are found to perform well on a separate cross-validation set of 39 compounds.
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Affiliation(s)
- Christina A Gatsiou
- Molecular Systems Engineering Group, Centre for Process Systems Engineering, Department of Chemical Engineering, Imperial College London, London SW7 2AZ, UK.
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15
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Przybytek M. Dispersion Energy of Symmetry-Adapted Perturbation Theory from the Explicitly Correlated F12 Approach. J Chem Theory Comput 2018; 14:5105-5117. [DOI: 10.1021/acs.jctc.8b00470] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Michał Przybytek
- Faculty of Chemistry, University of Warsaw, ul. L. Pasteura 1, 02-093 Warsaw, Poland
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16
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Myatt PT, Dham AK, Chandrasekhar P, McCourt FRW, Le Roy RJ. A new empirical potential energy function for Ar2. Mol Phys 2018. [DOI: 10.1080/00268976.2018.1437932] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
Affiliation(s)
- Philip T. Myatt
- Department of Chemistry, University of Waterloo, Waterloo, Ontario, Canada
| | - Ashok K. Dham
- Department of Chemistry, University of Waterloo, Waterloo, Ontario, Canada
- Department of Physics, Punjabi University, Patiala, India
| | | | | | - Robert J. Le Roy
- Department of Chemistry, University of Waterloo, Waterloo, Ontario, Canada
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17
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Stone AJ, Szalewicz K. Reply to “Comment on ‘Natural Bond Orbitals and the Nature of the Hydrogen Bond’”. J Phys Chem A 2018; 122:733-736. [DOI: 10.1021/acs.jpca.7b09307] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Anthony J. Stone
- University
Chemical Laboratory, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, U.K
| | - Krzysztof Szalewicz
- Department
of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, United States
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18
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Przybytek M, Cencek W, Jeziorski B, Szalewicz K. Pair Potential with Submillikelvin Uncertainties and Nonadiabatic Treatment of the Halo State of the Helium Dimer. PHYSICAL REVIEW LETTERS 2017; 119:123401. [PMID: 29341636 DOI: 10.1103/physrevlett.119.123401] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/18/2017] [Indexed: 06/07/2023]
Abstract
The pair potential for helium is computed with accuracy improved by an order of magnitude relative to the best previous determination. For the well region, its uncertainties are now below 1 millikelvin. The main improvement is due to the use of explicitly correlated wave functions at the nonrelativistic Born-Oppenheimer (BO) level of theory. The diagonal BO and the relativistic corrections are obtained from large full configuration interaction calculations. Nonadiabatic perturbation theory is used to predict the properties of the halo state of the helium dimer. Its binding energy and the average value of the interatomic distance are found to be 138.9(5) neV and 47.13(8) Å. The binding energy agrees with its first experimental determination of 151.9(13.3) neV [Zeller et al., Proc. Natl. Acad. Sci. U.S.A. 113, 14651 (2016)PNASA60027-842410.1073/pnas.1610688113].
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Affiliation(s)
- Michał Przybytek
- Department of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
| | - Wojciech Cencek
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
| | - Bogumił Jeziorski
- Department of Chemistry, University of Warsaw, Pasteura 1, 02-093 Warsaw, Poland
| | - Krzysztof Szalewicz
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
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19
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Wang BB, Han YC, Gao W, Cong SL. Cold atom-atom-ion three-body recombination of 4He- 4He-X - (X = H or D). Phys Chem Chem Phys 2017; 19:22926-22933. [PMID: 28813046 DOI: 10.1039/c7cp04310d] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The atom-atom-ion three-body recombination (TBR) of mixed 4He and X- (X = H or D) systems is investigated by solving the Schrödinger equation using the adiabatic hyperspherical representation method. It is shown that the dominant products after a TBR in the ultracold limit (E ≤ 0.1 mK × kB) are different for the two systems. For the 4He4HeH- system, the rate of TBR into the 4HeH- ion is nearly two orders of magnitude larger than that of TBR into the neutral 4He2 molecule. In contrast, the yield of 4He2 is a little higher than that of 4HeD- for the 4He4HeD- system. Furthermore, since the adiabatic potentials become more attractive and the nonadiabatic couplings become much stronger by substituting D for H in the 4He4HeH- system, the total TBR rate for the 4He4HeD- system is nearly two orders of magnitude larger than that for the 4He4HeH- system.
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Affiliation(s)
- Bin-Bin Wang
- Department of Physics, Dalian University of Technology, Dalian 116024, China.
| | - Yong-Chang Han
- Department of Physics, Dalian University of Technology, Dalian 116024, China.
| | - Wei Gao
- Department of Physics, Dalian University of Technology, Dalian 116024, China.
| | - Shu-Lin Cong
- Department of Physics, Dalian University of Technology, Dalian 116024, China.
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20
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Jerabek P, Smits O, Pahl E, Schwerdtfeger P. A relativistic coupled-cluster interaction potential and rovibrational constants for the xenon dimer. Mol Phys 2017. [DOI: 10.1080/00268976.2017.1359347] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Paul Jerabek
- Centre for Theoretical Chemistry and Physics, The New Zealand Institute for Advanced Study and the Institute for Natural and Mathematical Sciences, Massey University, Auckland, New Zealand
| | - Odile Smits
- Centre for Theoretical Chemistry and Physics, The New Zealand Institute for Advanced Study and the Institute for Natural and Mathematical Sciences, Massey University, Auckland, New Zealand
| | - Elke Pahl
- Centre for Theoretical Chemistry and Physics, The New Zealand Institute for Advanced Study and the Institute for Natural and Mathematical Sciences, Massey University, Auckland, New Zealand
| | - Peter Schwerdtfeger
- Centre for Theoretical Chemistry and Physics, The New Zealand Institute for Advanced Study and the Institute for Natural and Mathematical Sciences, Massey University, Auckland, New Zealand
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21
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Raston PL, Jäger W. Rotational Spectroscopic Study of Quantum Solvation in Isotopologic ( pH 2) N–CO Clusters. J Phys Chem A 2017; 121:3671-3678. [DOI: 10.1021/acs.jpca.7b02192] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Paul L. Raston
- Department
of Chemistry and Biochemistry, James Madison University, Harrisonburg, Virginia 22807, United States
| | - Wolfgang Jäger
- Department
of Chemistry, University of Alberta, Edmonton, Alberta T6G 2G2, Canada
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22
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Sheng X, Qian S, Hu F. On the performance of an complete basis set extrapolation scheme tailored for the equilibrium distance applied to the helium dimer potential energy surface. COMPUT THEOR CHEM 2017. [DOI: 10.1016/j.comptc.2017.02.016] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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23
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24
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Stipanović P, Vranješ Markić L, Boronat J. Quantum Halo States in Helium Tetramers. J Phys Chem A 2017; 121:308-314. [PMID: 27977201 DOI: 10.1021/acs.jpca.6b10656] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The universality of quantum halo states enables a comparison of systems from different fields of physics, as demonstrated in two- and three-body clusters. In the present work, we studied weakly bound helium tetramers in order to test whether some of these four-body realistic systems qualify as halos. Their ground-state binding energies and structural properties were thoroughly estimated using the diffusion Monte Carlo method with pure estimators. Helium tetramer properties proved to be less sensitive on the potential model than previously evaluated trimer properties. We predict the existence of realistic four-body halo 4He23He2, whereas 4He4 and 4He33He are close to the border and thus can be used as prototypes of quasi-halo systems. Our results could be tested by the experimental determination of the tetramers' structural properties using a setup similar to the one developed for the study of helium trimers.
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Affiliation(s)
- Petar Stipanović
- Faculty of Science, University of Split , Ruđera Boškovića 33, HR-21000 Split, Croatia
| | | | - Jordi Boronat
- Departament de Física, Campus Nord B4-B5, Universitat Politècnica de Catalunya , E-08034 Barcelona, Spain
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25
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Stipanović P, Vranješ Markić L, Zarić D, Boronat J. Ground-state properties of weakly bound helium-alkali trimers. J Chem Phys 2017; 146:014305. [PMID: 28063438 DOI: 10.1063/1.4973381] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023] Open
Abstract
Weakly bound triatomic molecules consisting of two helium atoms and one alkali metal atom are studied by means of the diffusion Monte Carlo method. We determined the stability of 4He2A, 4He3HeA, and 3He2A, where A is one of the alkali atoms Li, Na, K, Rb, or Cs. Some of the trimers with 3He are predicted to be self-bound for the first time, but this is observed to be dependent on the He-A interaction potential model. In addition to the ground-state energy of the trimers, we determined their density, radial, and angular distributions. Many of them are spatially very extended, which qualifies them as quantum halo states.
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Affiliation(s)
- P Stipanović
- Faculty of Science, University of Split, Ruđera Boškovića 33, HR-21000 Split, Croatia
| | - L Vranješ Markić
- Faculty of Science, University of Split, Ruđera Boškovića 33, HR-21000 Split, Croatia
| | - D Zarić
- Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Ruđera Boškovića 32, HR-21000 Split, Croatia
| | - J Boronat
- Departament de Física, Universitat Politècnica de Catalunya, Campus Nord B4-B5, E-08034 Barcelona, Spain
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26
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Zeller S, Kunitski M, Voigtsberger J, Kalinin A, Schottelius A, Schober C, Waitz M, Sann H, Hartung A, Bauer T, Pitzer M, Trinter F, Goihl C, Janke C, Richter M, Kastirke G, Weller M, Czasch A, Kitzler M, Braune M, Grisenti RE, Schöllkopf W, Schmidt LPH, Schöffler MS, Williams JB, Jahnke T, Dörner R. Imaging the He2 quantum halo state using a free electron laser. Proc Natl Acad Sci U S A 2016; 113:14651-14655. [PMID: 27930299 PMCID: PMC5187706 DOI: 10.1073/pnas.1610688113] [Citation(s) in RCA: 58] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
Quantum tunneling is a ubiquitous phenomenon in nature and crucial for many technological applications. It allows quantum particles to reach regions in space which are energetically not accessible according to classical mechanics. In this "tunneling region," the particle density is known to decay exponentially. This behavior is universal across all energy scales from nuclear physics to chemistry and solid state systems. Although typically only a small fraction of a particle wavefunction extends into the tunneling region, we present here an extreme quantum system: a gigantic molecule consisting of two helium atoms, with an 80% probability that its two nuclei will be found in this classical forbidden region. This circumstance allows us to directly image the exponentially decaying density of a tunneling particle, which we achieved for over two orders of magnitude. Imaging a tunneling particle shows one of the few features of our world that is truly universal: the probability to find one of the constituents of bound matter far away is never zero but decreases exponentially. The results were obtained by Coulomb explosion imaging using a free electron laser and furthermore yielded He2's binding energy of [Formula: see text] neV, which is in agreement with most recent calculations.
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Affiliation(s)
- Stefan Zeller
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany;
| | - Maksim Kunitski
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Jörg Voigtsberger
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Anton Kalinin
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | | | - Carl Schober
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Markus Waitz
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Hendrik Sann
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Alexander Hartung
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Tobias Bauer
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Martin Pitzer
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Florian Trinter
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Christoph Goihl
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Christian Janke
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Martin Richter
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Gregor Kastirke
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Miriam Weller
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Achim Czasch
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Markus Kitzler
- Photonics Institute, Vienna University of Technology, 1040 Vienna, Austria
| | - Markus Braune
- Deutsches Elektronen-Synchrotron, 22607 Hamburg, Germany
| | - Robert E Grisenti
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
- GSI Helmholtz Centre for Heavy Ion Research, 64291 Darmstadt, Germany
| | - Wieland Schöllkopf
- Department of Molecular Physics, Fritz-Haber-Institut, 14195 Berlin, Germany
| | - Lothar Ph H Schmidt
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Markus S Schöffler
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | | | - Till Jahnke
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany
| | - Reinhard Dörner
- Institut für Kernphysik, Goethe-Universität Frankfurt, 60438 Frankfurt, Germany;
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27
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Van Vleet MJ, Misquitta AJ, Stone AJ, Schmidt JR. Beyond Born-Mayer: Improved Models for Short-Range Repulsion in ab Initio Force Fields. J Chem Theory Comput 2016; 12:3851-70. [PMID: 27337546 DOI: 10.1021/acs.jctc.6b00209] [Citation(s) in RCA: 57] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Short-range repulsion within intermolecular force fields is conventionally described by either Lennard-Jones (A/r(12)) or Born-Mayer (A exp(-Br)) forms. Despite their widespread use, these simple functional forms are often unable to describe the interaction energy accurately over a broad range of intermolecular distances, thus creating challenges in the development of ab initio force fields and potentially leading to decreased accuracy and transferability. Herein, we derive a novel short-range functional form based on a simple Slater-like model of overlapping atomic densities and an iterated stockholder atom (ISA) partitioning of the molecular electron density. We demonstrate that this Slater-ISA methodology yields a more accurate, transferable, and robust description of the short-range interactions at minimal additional computational cost compared to standard Lennard-Jones or Born-Mayer approaches. Finally, we show how this methodology can be adapted to yield the standard Born-Mayer functional form while still retaining many of the advantages of the Slater-ISA approach.
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Affiliation(s)
- Mary J Van Vleet
- Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin-Madison , Madison, Wisconsin 53706, United States
| | - Alston J Misquitta
- Department of Physics and Astronomy, Queen Mary University of London , London E1 4NS, United Kingdom
| | - Anthony J Stone
- Department of Chemistry, University of Cambridge , Cambridge CB2 1EW, United Kingdom
| | - J R Schmidt
- Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin-Madison , Madison, Wisconsin 53706, United States
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28
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Abstract
Symmetry-adapted perturbation theory (SAPT) provides a unique set of advantages for parameterizing next-generation force fields from first principles. SAPT provides a direct, basis-set superposition error free estimate of molecular interaction energies, a physically intuitive energy decomposition, and a seamless transition to an asymptotic picture of intermolecular interactions. These properties have been exploited throughout the literature to develop next-generation force fields for a variety of applications, including classical molecular dynamics simulations, crystal structure prediction, and quantum dynamics/spectroscopy. This review provides a brief overview of the formalism and theory of SAPT, along with a practical discussion of the various methodologies utilized to parameterize force fields from SAPT calculations. It also highlights a number of applications of SAPT-based force fields for chemical systems of particular interest. Finally, the review ends with a brief outlook on the future opportunities and challenges that remain for next-generation force fields based on SAPT.
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Affiliation(s)
- Jesse G McDaniel
- Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin-Madison, Madison, Wisconsin 53706;
| | - J R Schmidt
- Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin-Madison, Madison, Wisconsin 53706;
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29
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Narth C, Lagardère L, Polack É, Gresh N, Wang Q, Bell DR, Rackers JA, Ponder JW, Ren PY, Piquemal JP. Scalable improvement of SPME multipolar electrostatics in anisotropic polarizable molecular mechanics using a general short-range penetration correction up to quadrupoles. J Comput Chem 2016; 37:494-506. [PMID: 26814845 PMCID: PMC4730919 DOI: 10.1002/jcc.24257] [Citation(s) in RCA: 26] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/25/2015] [Revised: 08/02/2015] [Accepted: 10/21/2015] [Indexed: 12/25/2022]
Abstract
We propose a general coupling of the Smooth Particle Mesh Ewald SPME approach for distributed multipoles to a short-range charge penetration correction modifying the charge-charge, charge-dipole and charge-quadrupole energies. Such an approach significantly improves electrostatics when compared to ab initio values and has been calibrated on Symmetry-Adapted Perturbation Theory reference data. Various neutral molecular dimers have been tested and results on the complexes of mono- and divalent cations with a water ligand are also provided. Transferability of the correction is adressed in the context of the implementation of the AMOEBA and SIBFA polarizable force fields in the TINKER-HP software. As the choices of the multipolar distribution are discussed, conclusions are drawn for the future penetration-corrected polarizable force fields highlighting the mandatory need of non-spurious procedures for the obtention of well balanced and physically meaningful distributed moments. Finally, scalability and parallelism of the short-range corrected SPME approach are addressed, demonstrating that the damping function is computationally affordable and accurate for molecular dynamics simulations of complex bio- or bioinorganic systems in periodic boundary conditions.
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Affiliation(s)
- Christophe Narth
- UPMC Univ. Paris 06, UMR 7616, Laboratoire de Chimie Théorique, F-75005, Paris, France
| | - Louis Lagardère
- UPMC Univ. Paris 06, Institut du Calcul et de la Simulation, F-75005, Paris, France
| | - Étienne Polack
- UPMC Univ. Paris 06, UMR 7616, Laboratoire de Chimie Théorique, F-75005, Paris, France
- UPMC Univ. Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, F-75005, Paris, France
| | - Nohad Gresh
- UPMC Univ. Paris 06, UMR 7616, Laboratoire de Chimie Théorique, F-75005, Paris, France
- Chemistry and Biology Nucleo(s)tides and immunology for Therapy (CBNIT), UMR 8601 CNRS, UFR Biomédicale, Paris 75006, France
| | - Qiantao Wang
- Department of Biomedical Engineering, The University of Texas at Austin, Texas 78712
| | - David R. Bell
- Department of Biomedical Engineering, The University of Texas at Austin, Texas 78712
| | - Joshua A. Rackers
- Department of Biochemistry and Molecular Biophysics, Washington University, St. Louis, Missouri 63110
| | - Jay W. Ponder
- Department of Biochemistry and Molecular Biophysics, Washington University, St. Louis, Missouri 63110
| | - Pengyu Y. Ren
- Department of Biomedical Engineering, The University of Texas at Austin, Texas 78712
| | - Jean-Philip Piquemal
- UPMC Univ. Paris 06, UMR 7616, Laboratoire de Chimie Théorique, F-75005, Paris, France
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30
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Chen YT, Hui K, Chai JD. The van der Waals interactions in rare-gas dimers: the role of interparticle interactions. Phys Chem Chem Phys 2016; 18:3011-22. [DOI: 10.1039/c5cp06317e] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We investigate the potential energy curves of rare-gas dimers with various ranges and strengths of interparticle interactions (nuclear–electron, electron–electron, and nuclear–nuclear interactions).
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Affiliation(s)
- Yu-Ting Chen
- Department of Physics
- National Taiwan University
- Taipei 10617
- Taiwan
| | - Kerwin Hui
- Department of Physics
- National Taiwan University
- Taipei 10617
- Taiwan
| | - Jeng-Da Chai
- Department of Physics
- National Taiwan University
- Taipei 10617
- Taiwan
- Center for Theoretical Sciences and Center for Quantum Science and Engineering
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31
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Shirkov L, Makarewicz J. Does DFT-SAPT method provide spectroscopic accuracy? J Chem Phys 2015; 142:064102. [DOI: 10.1063/1.4907204] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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32
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Stipanović P, Markić LV, Bešlić I, Boronat J. Universality in molecular halo clusters. PHYSICAL REVIEW LETTERS 2014; 113:253401. [PMID: 25554880 DOI: 10.1103/physrevlett.113.253401] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/15/2014] [Indexed: 06/04/2023]
Abstract
The ground state of weakly bound dimers and trimers with a radius extending well into the classically forbidden region is explored, with the goal to test the predicted universality of quantum halo states. The focus of the study is molecules consisting of T↓, D↓, ^{3}He, ^{4}He, and alkali atoms, where the interaction between particles is much better known than in the case of nuclei, which are traditional examples of quantum halos. The study of realistic systems is supplemented by model calculations in order to analyze how low-energy properties depend on the interaction potential. The use of variational and diffusion Monte Carlo methods enabled a very precise calculation of both the size and binding energy of the trimers. In the quantum halo regime, and for large values of scaled binding energies, all clusters follow almost the same universal line. As the scaled binding energy decreases, Borromean states separate from tango trimers.
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Affiliation(s)
- P Stipanović
- Faculty of Science, University of Split, HR-21000 Split, Croatia
| | - L Vranješ Markić
- Faculty of Science, University of Split, HR-21000 Split, Croatia and Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716-2593, USA
| | - I Bešlić
- Faculty of Science, University of Split, HR-21000 Split, Croatia and Departament de Física i Enginyeria Nuclear, Campus Nord B4-B5, Universitat Politècnica de Catalunya, E-08034 Barcelona, Spain
| | - J Boronat
- Departament de Física i Enginyeria Nuclear, Campus Nord B4-B5, Universitat Politècnica de Catalunya, E-08034 Barcelona, Spain
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33
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Szalewicz K. Determination of structure and properties of molecular crystals from first principles. Acc Chem Res 2014; 47:3266-74. [PMID: 25354310 DOI: 10.1021/ar500275m] [Citation(s) in RCA: 32] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Abstract
CONSPECTUS: Until recently, it had been impossible to predict structures of molecular crystals just from the knowledge of the chemical formula for the constituent molecule(s). A solution of this problem has been achieved using intermolecular force fields computed from first principles. These fields were developed by calculating interaction energies of molecular dimers and trimers using an ab initio method called symmetry-adapted perturbation theory (SAPT) based on density-functional theory (DFT) description of monomers [SAPT(DFT)]. For clusters containing up to a dozen or so atoms, interaction energies computed using SAPT(DFT) are comparable in accuracy to the results of the best wave function-based methods, whereas the former approach can be applied to systems an order of magnitude larger than the latter. In fact, for monomers with a couple dozen atoms, SAPT(DFT) is about equally time-consuming as the supermolecular DFT approach. To develop a force field, SAPT(DFT) calculations are performed for a large number of dimer and possibly also trimer configurations (grid points in intermolecular coordinates), and the interaction energies are then fitted by analytic functions. The resulting force fields can be used to determine crystal structures and properties by applying them in molecular packing, lattice energy minimization, and molecular dynamics calculations. In this way, some of the first successful determinations of crystal structures were achieved from first principles, with crystal densities and lattice parameters agreeing with experimental values to within about 1%. Crystal properties obtained using similar procedures but empirical force fields fitted to crystal data have typical errors of several percent due to low sensitivity of empirical fits to interactions beyond those of the nearest neighbors. The first-principles approach has additional advantages over the empirical approach for notional crystals and cocrystals since empirical force fields can only be extrapolated to such cases. As an alternative to applying SAPT(DFT) in crystal structure calculations, one can use supermolecular DFT interaction energies combined with scaled dispersion energies computed from simple atom-atom functions, that is, use the so-called DFT+D approach. Whereas the standard DFT methods fail for intermolecular interactions, DFT+D performs reasonably well since the dispersion correction is used not only to provide the missing dispersion contribution but also to fix other deficiencies of DFT. The latter cancellation of errors is unphysical and can be avoided by applying the so-called dispersionless density functional, dlDF. In this case, the dispersion energies are added without any scaling. The dlDF+D method is also one of the best performing DFT+D methods. The SAPT(DFT)-based approach has been applied so far only to crystals with rigid monomers. It can be extended to partly flexible monomers, that is, to monomers with only a few internal coordinates allowed to vary. However, the costs will increase relative to rigid monomer cases since the number of grid points increases exponentially with the number of dimensions. One way around this problem is to construct force fields with approximate couplings between inter- and intramonomer degrees of freedom. Another way is to calculate interaction energies (and possibly forces) "on the fly", i.e., in each step of lattice energy minimization procedure. Such an approach would be prohibitively expensive if it replaced analytic force fields at all stages of the crystal predictions procedure, but it can be used to optimize a few dozen candidate structures determined by other methods.
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Affiliation(s)
- Krzysztof Szalewicz
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, United States
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34
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Zhang XL, Li H, Le Roy RJ, Roy PN. Microwave and infrared spectra of CO–(pH2)2, CO–(oD2)2, and mixed CO–pH2–He trimers. Theor Chem Acc 2014. [DOI: 10.1007/s00214-014-1568-4] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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35
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Abstract
Despite their apparent simplicity, the properties of the two helium trimers, (4)He3 and (3)He(4)He2, are still not completely understood. In particular, the existence of a bound state of the asymmetric trimer (3)He(4)He2 was established many years ago, using different theoretical approaches, and later it was experimentally detected. However its structural properties have not been thoroughly investigated so far, probably because an accurate theoretical description of this very weakly bound system is computationally quite demanding. In this work we give for the first time an accurate and complete theoretical description of the geometrical structure of this fragile system using quantum Monte Carlo techniques employing the TTY potential and compare its properties with those of (4)He2 and (4)He3. We compute average values of distances and angles, along with the angle-angle distribution function: a two-dimensional probability distribution well suited to discuss the shape of a trimer. Our analysis shows that the lighter isotope is very diffuse and can be found at large distances from the other two atoms, but also close to the center of mass of the system in nearly linear configurations. For this system the concept of "equilibrium structure" is meaningless and all kinds of three-atom configurations must be taken into account in its description.
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Affiliation(s)
- Dario Bressanini
- Dipartimento di Scienza e Alta Tecnologia, Università dell'Insubria , Via Lucini 3, 22100 Como Italy
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36
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Cencek W, Szalewicz K. Erratum: “On asymptotic behavior of density functional theory” [J. Chem. Phys. 139, 024104 (2013)]. J Chem Phys 2014. [DOI: 10.1063/1.4870418] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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37
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Lao KU, Herbert JM. Symmetry-adapted perturbation theory with Kohn-Sham orbitals using non-empirically tuned, long-range-corrected density functionals. J Chem Phys 2014; 140:044108. [DOI: 10.1063/1.4862644] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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38
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Esrafili MD, Yourdkhani S, Bahrami A. Characteristics and nature of the halogen-bonding interactions between CCl3F and ozone: a supermolecular and SAPT study. Mol Phys 2013. [DOI: 10.1080/00268976.2013.788740] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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39
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Bakr BW, Smith DGA, Patkowski K. Highly accurate potential energy surface for the He–H2 dimer. J Chem Phys 2013; 139:144305. [DOI: 10.1063/1.4824299] [Citation(s) in RCA: 39] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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40
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Hartmann JM, Boulet C, Vieillard T, Chaussard F, Billard F, Faucher O, Lavorel B. Dissipation of alignment in CO2 gas: A comparison between ab initio predictions and experiments. J Chem Phys 2013; 139:024306. [DOI: 10.1063/1.4812770] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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41
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Cencek W, Szalewicz K. On asymptotic behavior of density functional theory. J Chem Phys 2013; 139:024104. [DOI: 10.1063/1.4811833] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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42
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Esrafili MD, Behzadi H. Investigation into the nature of interactions in aspirin–water clusters including SAPT, AIM and NBO theories. MOLECULAR SIMULATION 2013. [DOI: 10.1080/08927022.2012.758848] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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43
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Skomorowski W, Moszynski R. Kerr and Cotton–Mouton effects in atomic gases: a quantum-statistical study. Mol Phys 2013. [DOI: 10.1080/00268976.2013.804959] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Wojciech Skomorowski
- a Faculty of Chemistry , University of Warsaw , Pasteura 1, Warsaw , 02-093 , Poland
| | - Robert Moszynski
- a Faculty of Chemistry , University of Warsaw , Pasteura 1, Warsaw , 02-093 , Poland
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44
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Wu X, Sun Y, Gao YC, Wu GH. Structural transitions in mixed ternary noble gas clusters. J Mol Model 2013; 19:3119-25. [PMID: 23609225 DOI: 10.1007/s00894-013-1847-3] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/11/2012] [Accepted: 04/02/2013] [Indexed: 11/29/2022]
Affiliation(s)
- Xia Wu
- School of Chemistry and Chemical Engineering, Anqing Normal University, Anqing 246011, People's Republic of China.
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45
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Patkowski K. Basis set converged weak interaction energies from conventional and explicitly correlated coupled-cluster approach. J Chem Phys 2013; 138:154101. [DOI: 10.1063/1.4800981] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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46
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Li H, Ma YT. An intramolecular vibrationally excited intermolecular potential for He–OCS: Globally tested by simulation of vibrational shifts for OCS in HeN N = 1 − 100 Clusters. J Chem Phys 2012; 137:234310. [PMID: 23267489 DOI: 10.1063/1.4772186] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023] Open
Affiliation(s)
- Hui Li
- Institute of Theoretical Chemistry, State Key Laboratory of Theoretical and Computational Chemistry, Jilin University, 2519 Jiefang Road, Changchun 130023, People's Republic of China.
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47
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Esrafili MD, Yourdkhani S. Symmetry-adapted perturbation theory study for some magnesium complexes. CAN J CHEM 2012. [DOI: 10.1139/v2012-062] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
A systematic theoretical study on Mg–ligand interactions has been carried out employing both ab initio correlated wave function and density functional methods. The interactions of the Mg(CH3N2)2moiety with BF, CO, N2, NH3, and H2O ligands have been investigated by performing calculations at the B3LYP, MP2, MP4, and CCSD(T)/6–311++G(3df,3pd) levels of theory. Results indicate that the interaction energies of the Mg(CH3N2)2–L complexes increase in the order NH3 > H2O > BF > CO > N2. Symmetry-adapted perturbation theory (SAPT) analysis has been carried out to understand the nature of the forces involved in the bonding. The SAPT results indicate that the stabilities of the Mg–L interactions are attributed mainly to electrostatic effects, while induction and dispersion forces also play a significant role. The evaluated SAPT interaction energies for the Mg(CH3N2)2–L complexes are generally in good agreement with those obtained using the supermolecule CCSD(T) methods, suggesting that SAPT is a proper method to study the intermolecular interactions in these complexes. The results also suggest an explanation for the unique role of Mg2+as a carrier of water molecules that mediate enzymatic hydrolysis reactions.
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Affiliation(s)
- Mehdi D. Esrafili
- Laboratory of Theoretical Chemistry, Department of Chemistry, University of Maragheh, Maragheh, Iran
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48
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Rai N, Tiwari SP, Maginn EJ. Force field development for actinyl ions via quantum mechanical calculations: an approach to account for many body solvation effects. J Phys Chem B 2012; 116:10885-97. [PMID: 22857380 DOI: 10.1021/jp3028275] [Citation(s) in RCA: 37] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Advances in computational algorithms and methodologies make it possible to use highly accurate quantum mechanical calculations to develop force fields (pair-wise additive intermolecular potentials) for condensed phase simulations. Despite these advances, this approach faces numerous hurdles for the case of actinyl ions, AcO2(n+) (high-oxidation-state actinide dioxo cations), mainly due to the complex electronic structure resulting from an interplay of s, p, d, and f valence orbitals. Traditional methods use a pair of molecules (“dimer”) to generate a potential energy surface (PES) for force field parametrization based on the assumption that many body polarization effects are negligible. We show that this is a poor approximation for aqueous phase uranyl ions and present an alternative approach for the development of actinyl ion force fields that includes important many body solvation effects. Force fields are developed for the UO2(2+) ion with the SPC/Fw, TIP3P, TIP4P, and TIP5P water models and are validated by carrying out detailed molecular simulations on the uranyl aqua ion, one of the most characterized actinide systems. It is shown that the force fields faithfully reproduce available experimental structural data and hydration free energies. Failure to account for solvation effects when generating PES leads to overbinding between UO2(2+) and water, resulting in incorrect hydration free energies and coordination numbers. A detailed analysis of arrangement of water molecules in the first and second solvation shell of UO2(2+) is presented. The use of a simple functional form involving the sum of Lennard-Jones + Coulomb potentials makes the new force field compatible with a large number of available molecular simulation engines and common force fields.
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Affiliation(s)
- Neeraj Rai
- Department of Chemical and Biomolecular Engineering, University of Notre Dame, 182 Fitzpatrick Hall, Notre Dame, Indiana 46556, United States
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49
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Lange KK, Tellgren EI, Hoffmann MR, Helgaker T. A Paramagnetic Bonding Mechanism for Diatomics in Strong Magnetic Fields. Science 2012; 337:327-31. [DOI: 10.1126/science.1219703] [Citation(s) in RCA: 97] [Impact Index Per Article: 8.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
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50
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Cencek W, Przybytek M, Komasa J, Mehl JB, Jeziorski B, Szalewicz K. Effects of adiabatic, relativistic, and quantum electrodynamics interactions on the pair potential and thermophysical properties of helium. J Chem Phys 2012; 136:224303. [DOI: 10.1063/1.4712218] [Citation(s) in RCA: 209] [Impact Index Per Article: 17.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022] Open
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