1
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Tehrani A, Anderson JSM, Chakraborty D, Rodriguez-Hernandez JI, Thompson DC, Verstraelen T, Ayers PW, Heidar-Zadeh F. An information-theoretic approach to basis-set fitting of electron densities and other non-negative functions. J Comput Chem 2023; 44:1998-2015. [PMID: 37526138 DOI: 10.1002/jcc.27170] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/02/2023] [Revised: 05/03/2023] [Accepted: 05/08/2023] [Indexed: 08/02/2023]
Abstract
The numerical ill-conditioning associated with approximating an electron density with a convex sum of Gaussian or Slater-type functions is overcome by using the (extended) Kullback-Leibler divergence to measure the deviation between the target and approximate density. The optimized densities are non-negative and normalized, and they are accurate enough to be used in applications related to molecular similarity, the topology of the electron density, and numerical molecular integration. This robust, efficient, and general approach can be used to fit any non-negative normalized functions (e.g., the kinetic energy density and molecular electron density) to a convex sum of non-negative basis functions. We present a fixed-point iteration method for optimizing the Kullback-Leibler divergence and compare it to conventional gradient-based optimization methods. These algorithms are released through the free and open-source BFit package, which also includes a L2-norm squared optimization routine applicable to any square-integrable scalar function.
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Affiliation(s)
- Alireza Tehrani
- Department of Chemistry, Queen's University, Kingston, Ontario, Canada
| | - James S M Anderson
- Instituto de Química, Universidad Nacional Autónoma de México, Ciudad de México, Mexico
| | - Debajit Chakraborty
- Department of Physics, Wake Forest University, Winston-Salem, North Carolina, USA
- Center for Functional Materials, Wake Forest University, Winston-Salem, North Carolina, USA
| | | | | | - Toon Verstraelen
- Center for Molecular Modeling (CMM), Ghent University, Zwijnaarde, Belgium
| | - Paul W Ayers
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, Ontario, Canada
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2
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Pujal L, van Zyl M, Vöhringer-Martinez E, Verstraelen T, Bultinck P, Ayers PW, Heidar-Zadeh F. Constrained iterative Hirshfeld charges: A variational approach. J Chem Phys 2022; 156:194109. [PMID: 35597660 DOI: 10.1063/5.0089466] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We develop a variational procedure for the iterative Hirshfeld (HI) partitioning scheme. The main practical advantage of having a variational framework is that it provides a formal and straightforward approach for imposing constraints (e.g., fixed charges on certain atoms or molecular fragments) when computing HI atoms and their properties. Unlike many other variants of the Hirshfeld partitioning scheme, HI charges do not arise naturally from the information-theoretic framework, but only as a reverse-engineered construction of the objective function. However, the procedure we use is quite general and could be applied to other problems as well. We also prove that there is always at least one solution to the HI equations, but we could not prove that its self-consistent equations would always converge for any given initial pro-atom charges. Our numerical assessment of the constrained iterative Hirshfeld method shows that it satisfies many desirable traits of atoms in molecules and has the potential to surpass existing approaches for adding constraints when computing atomic properties.
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Affiliation(s)
- Leila Pujal
- Department of Chemistry, Queen's University, 90 Bader Lane, Kingston, Ontario K7N 3N6, Canada
| | - Maximilian van Zyl
- Department of Chemistry, Queen's University, 90 Bader Lane, Kingston, Ontario K7N 3N6, Canada
| | - Esteban Vöhringer-Martinez
- Departamento de Físico-Química, Facultad de Ciencias Químicas, Universidad de Concepción, Concepción, Chile
| | - Toon Verstraelen
- Center for Molecular Modeling (CMM), Ghent University, Technologiepark-Zwijnaarde 46, B-9052 Zwijnaarde, Belgium
| | - Patrick Bultinck
- Ghent Quantum Chemistry Group, Department of Chemistry, Ghent University, Krijgslaan 281 S3, B-9000 Ghent, Belgium
| | - Paul W Ayers
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, Ontario L8S 4L8, Canada
| | - Farnaz Heidar-Zadeh
- Department of Chemistry, Queen's University, 90 Bader Lane, Kingston, Ontario K7N 3N6, Canada
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3
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Benda RV, Cancès E, Ehrlacher V, Stamm B. Multi-center decomposition of molecular densities: a mathematical perspective. J Chem Phys 2022; 156:164107. [DOI: 10.1063/5.0076630] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The aim of this article is to analyze from a mathematical perspective some existing schemes to partition a molecular density into several atomic contributions, with a specific focus on Iterative Stockholder Atom (ISA) methods. We provide a unified mathematical framework to describe the latter family of methods and propose a new scheme, named L-ISA (for linear approximation of ISA), which generalizes the so-called Additive Variational Hirshfeld method. We prove several important mathematical properties of the ISA and L-ISA minimization problems and show that the so-called ISA algorithms can be viewed as alternating minimization schemes, which in turn enables us to obtain new convergence results for these numerical methods. Specific mathematical properties of the ISA decomposition for diatomic systems are also presented. Different schemes are numerically compared on different molecules and we discuss the advantages and drawbacks of each approach. Numerical results on diatomic systems illustrate the proven mathematical properties.
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4
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Abstract
We review different models for introducing electric polarization in force fields, with special focus on methods where polarization is modelled at the atomic charge level. While electric polarization has been included in several force fields, the common approach has been to focus on atomic dipole polarizability. Several approaches allow modelling electric polarization by using charge-flow between charge sites instead, but this has been less exploited, despite that atomic charges and charge-flow is expected to be more important than atomic dipoles and dipole polarizability. A number of challenges are required to be solved for charge-flow models to be incorporated into polarizable force fields, for example how to parameterize the models and how to make them computational efficient.
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Affiliation(s)
- Frank Jensen
- Department of Chemistry, Aarhus University, Denmark.
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5
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Guan X, Leven I, Heidar-Zadeh F, Head-Gordon T. Protein C-GeM: A Coarse-Grained Electron Model for Fast and Accurate Protein Electrostatics Prediction. J Chem Inf Model 2021; 61:4357-4369. [PMID: 34490776 DOI: 10.1021/acs.jcim.1c00388] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Abstract
The electrostatic potential (ESP) is a powerful property for understanding and predicting electrostatic charge distributions that drive interactions between molecules. In this study, we compare various charge partitioning schemes including fitted charges, density-based quantum mechanical (QM) partitioning schemes, charge equilibration methods, and our recently introduced coarse-grained electron model, C-GeM, to describe the ESP for protein systems. When benchmarked against high quality density functional theory calculations of the ESP for tripeptides and the crambin protein, we find that the C-GeM model is of comparable accuracy to ab initio charge partitioning methods, but with orders of magnitude improvement in computational efficiency since it does not require either the electron density or the electrostatic potential as input.
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Affiliation(s)
- Xingyi Guan
- Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California, Berkeley, California 94720, United States.,Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
| | - Itai Leven
- Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California, Berkeley, California 94720, United States.,Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
| | - Farnaz Heidar-Zadeh
- Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California, Berkeley, California 94720, United States.,Department of Chemistry, Queen's University, Kingston, Ontario K7L 3N6, Canada
| | - Teresa Head-Gordon
- Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California, Berkeley, California 94720, United States.,Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States.,Departments of Bioengineering and Chemical and Biomolecular Engineering, University of California, Berkeley, California 94720, United States
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6
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Pei Z, Yang J, Deng J, Mao Y, Wu Q, Yang Z, Wang B, Aikens CM, Liang W, Shao Y. Analysis and visualization of energy densities. II. Insights from linear-response time-dependent density functional theory calculations. Phys Chem Chem Phys 2020; 22:26852-26864. [PMID: 33216085 PMCID: PMC8258743 DOI: 10.1039/d0cp04207b] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Abstract
Inspired by the analysis of Kohn-Sham energy densities by Nakai and coworkers, we extended the energy density analysis to linear-response time-dependent density functional theory (LR-TDDFT) calculations. Using ethylene-tetrafluoroethylene and oxyluciferin-water complexes as examples, distinctive distribution patterns were demonstrated for the excitation energy densities of local excitations (within a molecular fragment) and charge-transfer excitations (between molecular fragments). It also provided a simple way to compute the effective energy of both hot carriers (particle and hole) from charge-transfer excitations via an integration of the excitation energy density over the donor and acceptor grid points.
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Affiliation(s)
- Zheng Pei
- State Key Laboratory of Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, and Department of Chemistry, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, P. R. China.
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7
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Gilmore RAJ, Dove MT, Misquitta AJ. First-Principles Many-Body Nonadditive Polarization Energies from Monomer and Dimer Calculations Only: A Case Study on Water. J Chem Theory Comput 2020; 16:224-242. [PMID: 31769980 DOI: 10.1021/acs.jctc.9b00819] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The many-body polarization energy is the major source of nonadditivity in strongly polar systems such as water. This nonadditivity is often considerable and must be included, if only in an average manner, to correctly describe the physical properties of the system. Models for the polarization energy are usually parametrized using experimental data, or theoretical estimates of the many-body effects. Here we show how many-body polarization models can be developed for water complexes using data for the monomer and dimer only using ideas recently developed in the field of intermolecular perturbation theory and state-of-the-art approaches for calculating distributed molecular properties based on the iterated stockholder atoms (ISA) algorithm. We show how these models can be calculated, and we validate their accuracy in describing the many-body nonadditive energies of a range of water clusters. We further investigate their sensitivity to the details of the polarization damping models used. We show how our very best polarization models yield many-body energies that agree with those computed with coupled-cluster methods, but at a fraction of the computational cost.
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Affiliation(s)
- Rory A J Gilmore
- School of Physics and Astronomy and the Thomas Young Centre for Theory and Simulation of Materials at Queen Mary University of London , London E1 4NS , U.K
| | - Martin T Dove
- School of Physics and Astronomy and the Thomas Young Centre for Theory and Simulation of Materials at Queen Mary University of London , London E1 4NS , U.K
| | - Alston J Misquitta
- School of Physics and Astronomy and the Thomas Young Centre for Theory and Simulation of Materials at Queen Mary University of London , London E1 4NS , U.K
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8
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Rybakov AA, Bryukhanov IA, Larin AV. Distributed Atomic Multipole Moments for Solving Problems of Computational Chemistry. RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY A 2019. [DOI: 10.1134/s0036024419100236] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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9
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Poier PP, Jensen F. Describing Molecular Polarizability by a Bond Capacity Model. J Chem Theory Comput 2019; 15:3093-3107. [PMID: 30920212 DOI: 10.1021/acs.jctc.8b01215] [Citation(s) in RCA: 17] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We propose a bond capacity model for describing molecular polarization in force field energy functions at the charge-only level. Atomic charges are calculated by allowing charge to flow between atom pairs according to a bond capacity and a difference in electrostatic potential. The bond capacity is closely related to the bond order and decays to zero as the bond distance is increased. The electrostatic potential is composed of an intrinsic potential, identified as the electronegativity, and a screened Coulomb potential from all other charges. The bond capacity model leads to integer fragment charges upon bond dissociation and displays linear scaling of the polarizability with system size. Bond capacity parameters can be derived from reference molecular polarizabilities, while electronegativity parameters can be derived from reference atomic charges or a reference molecular electrostatic potential. Out-of-plane polarization for planar systems is modeled by off-nuclei charge sites. The model is shown to be able to reproduce anisotropic reference molecular polarizabilities with an accuracy of ∼10% using a limited set of bond capacity parameters and can describe both inter- and intramolecular polarization.
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Affiliation(s)
- Pier Paolo Poier
- Department of Chemistry , Aarhus University , Langelandsgade 140 , DK-8000 Aarhus , Denmark
| | - Frank Jensen
- Department of Chemistry , Aarhus University , Langelandsgade 140 , DK-8000 Aarhus , Denmark
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10
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Misquitta AJ, Stone AJ. ISA-Pol: distributed polarizabilities and dispersion models from a basis-space implementation of the iterated stockholder atoms procedure. Theor Chem Acc 2018. [DOI: 10.1007/s00214-018-2371-4] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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11
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Riquelme M, Lara A, Mobley DL, Verstraelen T, Matamala AR, Vöhringer-Martinez E. Hydration Free Energies in the FreeSolv Database Calculated with Polarized Iterative Hirshfeld Charges. J Chem Inf Model 2018; 58:1779-1797. [PMID: 30125107 PMCID: PMC6195221 DOI: 10.1021/acs.jcim.8b00180] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Computer simulations of biomolecular systems often use force fields, which are combinations of simple empirical atom-based functions to describe the molecular interactions. Even though polarizable force fields give a more detailed description of intermolecular interactions, nonpolarizable force fields, developed several decades ago, are often still preferred because of their reduced computation cost. Electrostatic interactions play a major role in biomolecular systems and are therein described by atomic point charges. In this work, we address the performance of different atomic charges to reproduce experimental hydration free energies in the FreeSolv database in combination with the GAFF force field. Atomic charges were calculated by two atoms-in-molecules approaches, Hirshfeld-I and Minimal Basis Iterative Stockholder (MBIS). To account for polarization effects, the charges were derived from the solute's electron density computed with an implicit solvent model, and the energy required to polarize the solute was added to the free energy cycle. The calculated hydration free energies were analyzed with an error model, revealing systematic errors associated with specific functional groups or chemical elements. The best agreement with the experimental data is observed for the AM1-BCC and the MBIS atomic charge methods. The latter includes the solvent polarization and presents a root-mean-square error of 2.0 kcal mol-1 for the 613 organic molecules studied. The largest deviation was observed for phosphorus-containing molecules and the molecules with amide, ester and amine functional groups.
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Affiliation(s)
- Maximiliano Riquelme
- Departamento de Físico-Química, Facultad de Ciencias Químicas , Universidad de Concepción , 4070386 Concepción , Chile
| | - Alejandro Lara
- Departamento de Físico-Química, Facultad de Ciencias Químicas , Universidad de Concepción , 4070386 Concepción , Chile
| | - David L Mobley
- Departments of Pharmaceutical Sciences and Chemistry, 147 Bison Modular , University of California, Irvine , Irvine , California 92617 , United States
| | - Toon Verstraelen
- Center for Molecular Modeling (CMM) , Ghent University , Technologiepark 903 , B-9052 Ghent , Belgium
| | - Adelio R Matamala
- Departamento de Físico-Química, Facultad de Ciencias Químicas , Universidad de Concepción , 4070386 Concepción , Chile
| | - Esteban Vöhringer-Martinez
- Departamento de Físico-Química, Facultad de Ciencias Químicas , Universidad de Concepción , 4070386 Concepción , Chile
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12
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Heidar-Zadeh F, Ayers PW, Bultinck P. Fractional nuclear charge approach to isolated anion densities for Hirshfeld partitioning methods. J Mol Model 2017; 23:348. [DOI: 10.1007/s00894-017-3514-6] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/22/2017] [Accepted: 10/26/2017] [Indexed: 11/30/2022]
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13
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Fias S, Heidar-Zadeh F, Anderson JSM, Ayers PW, Parr RG. A reference-free stockholder partitioning method based on the force on electrons. J Comput Chem 2017; 39:1044-1050. [DOI: 10.1002/jcc.25114] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/21/2017] [Revised: 09/14/2017] [Accepted: 10/06/2017] [Indexed: 11/08/2022]
Affiliation(s)
- Stijn Fias
- Department of Chemistry & Chemical Biology; McMaster University; Hamilton Ontario Canada L8S 4M1
| | - Farnaz Heidar-Zadeh
- Department of Chemistry & Chemical Biology; McMaster University; Hamilton Ontario Canada L8S 4M1
- Center for Molecular Modeling; Ghent University, Technologiepark 903; 9052 Zwijnaarde Belgium
- Department of Inorganic and Physical Chemistry; Ghent University, Krijgslaan 281 (S3); 9000 Gent Belgium
| | | | - Paul W. Ayers
- Department of Chemistry & Chemical Biology; McMaster University; Hamilton Ontario Canada L8S 4M1
| | - Robert G. Parr
- Department of Chemistry; University of North Carolina; Chapel Hill NC USA 27599
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14
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Heidar-Zadeh F, Ayers PW, Verstraelen T, Vinogradov I, Vöhringer-Martinez E, Bultinck P. Information-Theoretic Approaches to Atoms-in-Molecules: Hirshfeld Family of Partitioning Schemes. J Phys Chem A 2017; 122:4219-4245. [DOI: 10.1021/acs.jpca.7b08966] [Citation(s) in RCA: 68] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Farnaz Heidar-Zadeh
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, Ontario L8S 4M1, Canada
- Center for Molecular Modeling, Ghent University, Technologiepark 903, 9052 Zwijnaarde, Belgium
- Department of Chemistry, Ghent University, Krijgslaan 281 (S3), 9000 Gent, Belgium
| | - Paul W. Ayers
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, Ontario L8S 4M1, Canada
| | - Toon Verstraelen
- Center for Molecular Modeling, Ghent University, Technologiepark 903, 9052 Zwijnaarde, Belgium
| | - Ivan Vinogradov
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, Ontario L8S 4M1, Canada
| | - Esteban Vöhringer-Martinez
- Departamento de Físico-Química, Facultad de Ciencias Químicas, Universidad de Concepción, Concepción, Chile
| | - Patrick Bultinck
- Department of Chemistry, Ghent University, Krijgslaan 281 (S3), 9000 Gent, Belgium
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15
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16
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Conceptual DFT analysis of the regioselectivity of 1,3-dipolar cycloadditions: nitrones as a case of study. J Mol Model 2017; 23:236. [DOI: 10.1007/s00894-017-3382-0] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/15/2016] [Accepted: 05/30/2017] [Indexed: 10/19/2022]
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17
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Heidar-Zadeh F, Vinogradov I, Ayers PW. Hirshfeld partitioning from non-extensive entropies. Theor Chem Acc 2017. [DOI: 10.1007/s00214-017-2077-z] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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18
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Manz TA. Introducing DDEC6 atomic population analysis: part 3. Comprehensive method to compute bond orders. RSC Adv 2017. [DOI: 10.1039/c7ra07400j] [Citation(s) in RCA: 230] [Impact Index Per Article: 32.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022] Open
Abstract
A new method to compute accurate bond orders for metallic, covalent, polar-covalent, ionic, multi-centered, aromatic, dative, dispersion, and hydrogen bonding.
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Affiliation(s)
- Thomas A. Manz
- Department of Chemical & Materials Engineering
- New Mexico State University
- Las Cruces
- USA
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19
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Oña OB, De Clercq O, Alcoba DR, Torre A, Lain L, Van Neck D, Bultinck P. Atom and Bond Fukui Functions and Matrices: A Hirshfeld-I Atoms-in-Molecule Approach. Chemphyschem 2016; 17:2881-9. [PMID: 27381271 DOI: 10.1002/cphc.201600433] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/29/2016] [Indexed: 11/09/2022]
Abstract
The Fukui function is often used in its atom-condensed form by isolating it from the molecular Fukui function using a chosen weight function for the atom in the molecule. Recently, Fukui functions and matrices for both atoms and bonds separately were introduced for semiempirical and ab initio levels of theory using Hückel and Mulliken atoms-in-molecule models. In this work, a double partitioning method of the Fukui matrix is proposed within the Hirshfeld-I atoms-in-molecule framework. Diagonalizing the resulting atomic and bond matrices gives eigenvalues and eigenvectors (Fukui orbitals) describing the reactivity of atoms and bonds. The Fukui function is the diagonal element of the Fukui matrix and may be resolved in atom and bond contributions. The extra information contained in the atom and bond resolution of the Fukui matrices and functions is highlighted. The effect of the choice of weight function arising from the Hirshfeld-I approach to obtain atom- and bond-condensed Fukui functions is studied. A comparison of the results with those generated by using the Mulliken atoms-in-molecule approach shows low correlation between the two partitioning schemes.
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Affiliation(s)
- Ofelia B Oña
- Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas, Universidad Nacional de la Plata, CCT La Plata, Consejo Nacional de Investigaciones Científicas y Técnicas, Diag. 113 y 64 (s/n), Sucursal 4, CC 16, 1900, La Plata, Argentina
| | - Olivier De Clercq
- Department of Inorganic and Physical Chemistry, Ghent University, Krijgslaan 281 (S3), 9000, Gent, Belgium
| | - Diego R Alcoba
- Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires (Argentina), Instituto de Física de Buenos Aires, Consejo Nacional de Investigaciones Científicas y Técnicas, Ciudad Universitaria, 1428 Buenos, Aires, Argentina
| | - Alicia Torre
- Departamento de Química Física, Facultad de Ciencia y Tecnología, Universidad del País Vasco, Apdo. 644, E-48080, Bilbao, Spain
| | - Luis Lain
- Departamento de Química Física, Facultad de Ciencia y Tecnología, Universidad del País Vasco, Apdo. 644, E-48080, Bilbao, Spain
| | - Dimitri Van Neck
- Center for Molecular Modeling, Ghent University, Technologiepark 903, B-9052, Zwijnaarde, Belgium
| | - Patrick Bultinck
- Department of Inorganic and Physical Chemistry, Ghent University, Krijgslaan 281 (S3), 9000, Gent, Belgium.
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20
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Verstraelen T, Vandenbrande S, Heidar-Zadeh F, Vanduyfhuys L, Van Speybroeck V, Waroquier M, Ayers PW. Minimal Basis Iterative Stockholder: Atoms in Molecules for Force-Field Development. J Chem Theory Comput 2016; 12:3894-912. [DOI: 10.1021/acs.jctc.6b00456] [Citation(s) in RCA: 83] [Impact Index Per Article: 10.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Toon Verstraelen
- Center
for Molecular Modeling (CMM), Member of the QCMM Ghent−Brussels
Alliance, Ghent University, Technologiepark 903, B9000 Ghent, Belgium
| | - Steven Vandenbrande
- Center
for Molecular Modeling (CMM), Member of the QCMM Ghent−Brussels
Alliance, Ghent University, Technologiepark 903, B9000 Ghent, Belgium
| | - Farnaz Heidar-Zadeh
- Department
of Chemistry and Chemical Biology, McMaster University, 1280 West
Main Street, Hamilton, Ontario L8S 4M1, Canada
| | - Louis Vanduyfhuys
- Center
for Molecular Modeling (CMM), Member of the QCMM Ghent−Brussels
Alliance, Ghent University, Technologiepark 903, B9000 Ghent, Belgium
| | - Veronique Van Speybroeck
- Center
for Molecular Modeling (CMM), Member of the QCMM Ghent−Brussels
Alliance, Ghent University, Technologiepark 903, B9000 Ghent, Belgium
| | - Michel Waroquier
- Center
for Molecular Modeling (CMM), Member of the QCMM Ghent−Brussels
Alliance, Ghent University, Technologiepark 903, B9000 Ghent, Belgium
| | - Paul W. Ayers
- Department
of Chemistry and Chemical Biology, McMaster University, 1280 West
Main Street, Hamilton, Ontario L8S 4M1, Canada
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21
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22
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Manz TA, Limas NG. Introducing DDEC6 atomic population analysis: part 1. Charge partitioning theory and methodology. RSC Adv 2016. [DOI: 10.1039/c6ra04656h] [Citation(s) in RCA: 389] [Impact Index Per Article: 48.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022] Open
Abstract
We introduce a new atomic population analysis method that performs exceptionally well across an extremely broad range of periodic and non-periodic material types.
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Affiliation(s)
- Thomas A. Manz
- Department of Chemical & Materials Engineering
- New Mexico State University
- Las Cruces
- USA
| | - Nidia Gabaldon Limas
- Department of Chemical & Materials Engineering
- New Mexico State University
- Las Cruces
- USA
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23
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Limas NG, Manz TA. Introducing DDEC6 atomic population analysis: part 2. Computed results for a wide range of periodic and nonperiodic materials. RSC Adv 2016. [DOI: 10.1039/c6ra05507a] [Citation(s) in RCA: 242] [Impact Index Per Article: 30.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022] Open
Abstract
DDEC6 atomic population analysis gives excellent performance for small and large molecules, porous solids, dense solids, solid surfaces, organometallic complexes, nanoclusters, and magnetic materials.
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Affiliation(s)
- Nidia Gabaldon Limas
- Department of Chemical & Materials Engineering
- New Mexico State University
- Las Cruces
- USA
| | - Thomas A. Manz
- Department of Chemical & Materials Engineering
- New Mexico State University
- Las Cruces
- USA
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24
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Parrish RM, Parker TM, Sherrill CD. Chemical Assignment of Symmetry-Adapted Perturbation Theory Interaction Energy Components: The Functional-Group SAPT Partition. J Chem Theory Comput 2015; 10:4417-31. [PMID: 26588139 DOI: 10.1021/ct500724p] [Citation(s) in RCA: 87] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023]
Abstract
Recently, we introduced an effective atom-pairwise partition of the many-body symmetry-adapted perturbation theory (SAPT) interaction energy decomposition, producing a method known as atomic SAPT (A-SAPT) [Parrish, R. M.; Sherrill, C. D. J. Chem. Phys. 2014, 141, 044115]. A-SAPT provides ab initio atom-pair potentials for force field development and also automatic visualizations of the spatial contributions of noncovalent interactions, but often has difficulty producing chemically useful partitions of the electrostatic energy, due to the buildup of oscillating partial charges on adjacent functional groups. In this work, we substitute chemical functional groups in place of atoms as the relevant local quasiparticles in the partition, resulting in a functional-group-pairwise partition denoted as functional-group SAPT (F-SAPT). F-SAPT assigns integral sets of local occupied electronic orbitals and protons to chemical functional groups and linking σ bonds. Link-bond contributions can be further assigned to chemical functional groups to simplify the analysis. This approach yields a SAPT partition between pairs of functional groups with integral charge (usually neutral), preventing oscillations in the electrostatic partition. F-SAPT qualitatively matches chemical intuition and the cut-and-cap fragmentation technique but additionally yields the quantitative many-body SAPT interaction energy. The conceptual simplicity, chemical utility, and computational efficiency of F-SAPT is demonstrated in the context of phenol dimer, proflavine(+)-DNA intercalation, and a cucurbituril host-guest inclusion complex.
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Affiliation(s)
- Robert M Parrish
- Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, School of Computational Science and Engineering, Georgia Institute of Technology , Atlanta, Georgia 30332-0400, United States
| | - Trent M Parker
- Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, School of Computational Science and Engineering, Georgia Institute of Technology , Atlanta, Georgia 30332-0400, United States
| | - C David Sherrill
- Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, School of Computational Science and Engineering, Georgia Institute of Technology , Atlanta, Georgia 30332-0400, United States
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25
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Hendrickx K, Vanpoucke DEP, Leus K, Lejaeghere K, Van Yperen-De Deyne A, Van Speybroeck V, Van Der Voort P, Hemelsoet K. Understanding Intrinsic Light Absorption Properties of UiO-66 Frameworks: A Combined Theoretical and Experimental Study. Inorg Chem 2015; 54:10701-10. [DOI: 10.1021/acs.inorgchem.5b01593] [Citation(s) in RCA: 116] [Impact Index Per Article: 12.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
Affiliation(s)
- Kevin Hendrickx
- Department of Inorganic
and Physical Chemistry, Center for Ordered Materials, Organometallics
and Catalysis (COMOC), Ghent University, Krijgslaan 281 (S3), 9000 Ghent, Belgium
- Center for Molecular Modeling (CMM), Ghent University, Technologiepark
903, 9052 Zwijnaarde, Belgium
| | - Danny E. P. Vanpoucke
- Center for Molecular Modeling (CMM), Ghent University, Technologiepark
903, 9052 Zwijnaarde, Belgium
| | - Karen Leus
- Department of Inorganic
and Physical Chemistry, Center for Ordered Materials, Organometallics
and Catalysis (COMOC), Ghent University, Krijgslaan 281 (S3), 9000 Ghent, Belgium
| | - Kurt Lejaeghere
- Center for Molecular Modeling (CMM), Ghent University, Technologiepark
903, 9052 Zwijnaarde, Belgium
| | - Andy Van Yperen-De Deyne
- Center for Molecular Modeling (CMM), Ghent University, Technologiepark
903, 9052 Zwijnaarde, Belgium
| | - Veronique Van Speybroeck
- Center for Molecular Modeling (CMM), Ghent University, Technologiepark
903, 9052 Zwijnaarde, Belgium
| | - Pascal Van Der Voort
- Department of Inorganic
and Physical Chemistry, Center for Ordered Materials, Organometallics
and Catalysis (COMOC), Ghent University, Krijgslaan 281 (S3), 9000 Ghent, Belgium
| | - Karen Hemelsoet
- Center for Molecular Modeling (CMM), Ghent University, Technologiepark
903, 9052 Zwijnaarde, Belgium
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26
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Parrish RM, Sherrill CD. Spatial assignment of symmetry adapted perturbation theory interaction energy components: The atomic SAPT partition. J Chem Phys 2015; 141:044115. [PMID: 25084889 DOI: 10.1063/1.4889855] [Citation(s) in RCA: 70] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023] Open
Abstract
We develop a physically-motivated assignment of symmetry adapted perturbation theory for intermolecular interactions (SAPT) into atom-pairwise contributions (the A-SAPT partition). The basic precept of A-SAPT is that the many-body interaction energy components are computed normally under the formalism of SAPT, following which a spatially-localized two-body quasiparticle interaction is extracted from the many-body interaction terms. For electrostatics and induction source terms, the relevant quasiparticles are atoms, which are obtained in this work through the iterative stockholder analysis (ISA) procedure. For the exchange, induction response, and dispersion terms, the relevant quasiparticles are local occupied orbitals, which are obtained in this work through the Pipek-Mezey procedure. The local orbital atomic charges obtained from ISA additionally allow the terms involving local orbitals to be assigned in an atom-pairwise manner. Further summation over the atoms of one or the other monomer allows for a chemically intuitive visualization of the contribution of each atom and interaction component to the overall noncovalent interaction strength. Herein, we present the intuitive development and mathematical form for A-SAPT applied in the SAPT0 approximation (the A-SAPT0 partition). We also provide an efficient series of algorithms for the computation of the A-SAPT0 partition with essentially the same computational cost as the corresponding SAPT0 decomposition. We probe the sensitivity of the A-SAPT0 partition to the ISA grid and convergence parameter, orbital localization metric, and induction coupling treatment, and recommend a set of practical choices which closes the definition of the A-SAPT0 partition. We demonstrate the utility and computational tractability of the A-SAPT0 partition in the context of side-on cation-π interactions and the intercalation of DNA by proflavine. A-SAPT0 clearly shows the key processes in these complicated noncovalent interactions, in systems with up to 220 atoms and 2845 basis functions.
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Affiliation(s)
- Robert M Parrish
- Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, School of Computational Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, USA
| | - C David Sherrill
- Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, School of Computational Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, USA
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27
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Mei Y, Simmonett AC, Pickard FC, DiStasio RA, Brooks BR, Shao Y. Numerical study on the partitioning of the molecular polarizability into fluctuating charge and induced atomic dipole contributions. J Phys Chem A 2015; 119:5865-82. [PMID: 25945749 DOI: 10.1021/acs.jpca.5b03159] [Citation(s) in RCA: 36] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
In order to carry out a detailed analysis of the molecular static polarizability, which is the response of the molecule to a uniform external electric field, the molecular polarizability was computed using the finite-difference method for 21 small molecules, using density functional theory. Within nine charge population schemes (Löwdin, Mulliken, Becke, Hirshfeld, CM5, Hirshfeld-I, NPA, CHELPG, MK-ESP) in common use, the charge fluctuation contribution is found to dominate the molecular polarizability, with its ratio ranging from 59.9% with the Hirshfeld or CM5 scheme to 96.2% with the Mulliken scheme. The Hirshfeld-I scheme is also used to compute the other contribution to the molecular polarizability coming from the induced atomic dipoles, and the atomic polarizabilities in eight small molecules and water pentamer are found to be highly anisotropic for most atoms. Overall, the results suggest that (a) more emphasis probably should be placed on the charge fluctuation terms in future polarizable force field development and (b) an anisotropic polarizability might be more suitable than an isotropic one in polarizable force fields based entirely or partially on the induced atomic dipoles.
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Affiliation(s)
- Ye Mei
- †State Key Laboratory of Precision Spectroscopy, Department of Physics and Institute of Theoretical and Computational Science, East China Normal University, Shanghai 200062, China.,‡NYU-ECNU Center for Computational Chemistry, NYU Shanghai, Shanghai 200062, China.,⊥Laboratory of Computational Biology, National Institutes of Health, National Heart, Lung and Blood Institute, 5635 Fishers Lane, T-900 Suite, Rockville, Maryland 20852, United States
| | - Andrew C Simmonett
- ⊥Laboratory of Computational Biology, National Institutes of Health, National Heart, Lung and Blood Institute, 5635 Fishers Lane, T-900 Suite, Rockville, Maryland 20852, United States
| | - Frank C Pickard
- ⊥Laboratory of Computational Biology, National Institutes of Health, National Heart, Lung and Blood Institute, 5635 Fishers Lane, T-900 Suite, Rockville, Maryland 20852, United States
| | - Robert A DiStasio
- §Department of Chemistry, Princeton University, Princeton, New Jersey 08544, United States
| | - Bernard R Brooks
- ⊥Laboratory of Computational Biology, National Institutes of Health, National Heart, Lung and Blood Institute, 5635 Fishers Lane, T-900 Suite, Rockville, Maryland 20852, United States
| | - Yihan Shao
- ∥Q-Chem Inc., 6601 Owens Drive, Suite 105, Pleasanton, California 94588, United States
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28
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Geldof D, Krishtal A, Blockhuys F, Van Alsenoy C. FOHI-D: an iterative Hirshfeld procedure including atomic dipoles. J Chem Phys 2015; 140:144104. [PMID: 24735285 DOI: 10.1063/1.4870498] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In this work, a new partitioning method based on the FOHI method (fractional occupation Hirshfeld-I method) will be discussed. The new FOHI-D method uses an iterative scheme in which both the atomic charge and atomic dipole are calculated self-consistently. In order to induce the dipole moment on the atom, an electric field is applied during the atomic SCF calculations. Based on two sets of molecules, the atomic charge and intrinsic atomic dipole moment of hydrogen and chlorine atoms are compared using the iterative Hirshfeld (HI) method, the iterative Stockholder atoms (ISA) method, the FOHI method, and the FOHI-D method. The results obtained are further analyzed as a function of the group electronegativity of Boyd et al. [J. Am. Chem. Soc. 110, 4182 (1988); Boyd et al., J. Am. Chem. Soc. 114, 1652 (1992)] and De Proft et al. [J. Phys. Chem. 97, 1826 (1993)]. The molecular electrostatic potential (ESP) based on the HI, ISA, FOHI, and FOHI-D charges is compared with the ab initio ESP. Finally, the effect of adding HI, ISA, FOHI, and FOHI-D atomic dipoles to the multipole expansion as a function of the precision of the ESP is analyzed.
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Affiliation(s)
- D Geldof
- Department of Chemistry, University of Antwerp, Universiteitsplein 1, B2610 Antwerp, Belgium
| | - A Krishtal
- Fachbereich Chemie, Technische Universität Kaiserslautern, Erwin Schrödinger Straße, D-67663 Kaiserslautern, Germany
| | - F Blockhuys
- Department of Chemistry, University of Antwerp, Universiteitsplein 1, B2610 Antwerp, Belgium
| | - C Van Alsenoy
- Department of Chemistry, University of Antwerp, Universiteitsplein 1, B2610 Antwerp, Belgium
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29
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Heidar-Zadeh F, Ayers PW. How pervasive is the Hirshfeld partitioning? J Chem Phys 2015; 142:044107. [DOI: 10.1063/1.4905123] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022] Open
Affiliation(s)
- Farnaz Heidar-Zadeh
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, Ontario L8S 4M1, Canada
| | - Paul W. Ayers
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, Ontario L8S 4M1, Canada
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30
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Misquitta AJ, Stone AJ, Fazeli F. Distributed Multipoles from a Robust Basis-Space Implementation of the Iterated Stockholder Atoms Procedure. J Chem Theory Comput 2014; 10:5405-18. [DOI: 10.1021/ct5008444] [Citation(s) in RCA: 51] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
Affiliation(s)
- Alston J. Misquitta
- School
of Physics and Astronomy, Queen Mary University of London, London E1 4NS, United Kingdom
| | - Anthony J. Stone
- University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom
| | - Farhang Fazeli
- School
of Physics and Astronomy, Queen Mary University of London, London E1 4NS, United Kingdom
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31
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Heidar-Zadeh F, Ayers PW, Bultinck P. Deriving the Hirshfeld partitioning using distance metrics. J Chem Phys 2014; 141:094103. [DOI: 10.1063/1.4894228] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Farnaz Heidar-Zadeh
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, Ontario L8S 4M1, Canada
| | - Paul W. Ayers
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, Ontario L8S 4M1, Canada
| | - Patrick Bultinck
- Department of Physical and Inorganic Chemistry, Ghent University, Krijgslaan 281 (S3), 9000 Gent, Belgium
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32
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Verstraelen T, Ayers PW, Van Speybroeck V, Waroquier M. Hirshfeld-E Partitioning: AIM Charges with an Improved Trade-off between Robustness and Accurate Electrostatics. J Chem Theory Comput 2013; 9:2221-5. [DOI: 10.1021/ct4000923] [Citation(s) in RCA: 73] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
Affiliation(s)
- T. Verstraelen
- Center for
Molecular Modeling
(CMM), Ghent University, 9000 Ghent, Belgium (Member of the QCMM Ghent−Brussels
Alliance)
| | - P. W. Ayers
- Department of
Chemistry, McMaster
University, 1280 Main Street West, Hamilton, Ontario, Canada
| | - V. Van Speybroeck
- Center for
Molecular Modeling
(CMM), Ghent University, 9000 Ghent, Belgium (Member of the QCMM Ghent−Brussels
Alliance)
| | - M. Waroquier
- Center for
Molecular Modeling
(CMM), Ghent University, 9000 Ghent, Belgium (Member of the QCMM Ghent−Brussels
Alliance)
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33
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Verstraelen T, Ayers PW, Van Speybroeck V, Waroquier M. ACKS2: Atom-condensed Kohn-Sham DFT approximated to second order. J Chem Phys 2013; 138:074108. [DOI: 10.1063/1.4791569] [Citation(s) in RCA: 61] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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