1
|
Villot C, Huang T, Lao KU. Accurate prediction of global-density-dependent range-separation parameters based on machine learning. J Chem Phys 2023; 159:044103. [PMID: 37486048 DOI: 10.1063/5.0157340] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/07/2023] [Accepted: 07/03/2023] [Indexed: 07/25/2023] Open
Abstract
In this work, we develop an accurate and efficient XGBoost machine learning model for predicting the global-density-dependent range-separation parameter, ωGDD, for long-range corrected functional (LRC)-ωPBE. This ωGDDML model has been built using a wide range of systems (11 466 complexes, ten different elements, and up to 139 heavy atoms) with fingerprints for the local atomic environment and histograms of distances for the long-range atomic correlation for mapping the quantum mechanical range-separation values. The promising performance on the testing set with 7046 complexes shows a mean absolute error of 0.001 117 a0-1 and only five systems (0.07%) with an absolute error larger than 0.01 a0-1, which indicates the good transferability of our ωGDDML model. In addition, the only required input to obtain ωGDDML is the Cartesian coordinates without electronic structure calculations, thereby enabling rapid predictions. LRC-ωPBE(ωGDDML) is used to predict polarizabilities for a series of oligomers, where polarizabilities are sensitive to the asymptotic density decay and are crucial in a variety of applications, including the calculations of dispersion corrections and refractive index, and surpasses the performance of all other popular density functionals except for the non-tuned LRC-ωPBE. Finally, LRC-ωPBE (ωGDDML) combined with (extended) symmetry-adapted perturbation theory is used in calculating noncovalent interactions to further show that the traditional ab initio system-specific tuning procedure can be bypassed. The present study not only provides an accurate and efficient way to determine the range-separation parameter for LRC-ωPBE but also shows the synergistic benefits of fusing the power of physically inspired density functional LRC-ωPBE and the data-driven ωGDDML model.
Collapse
Affiliation(s)
- Corentin Villot
- Department of Chemistry, Virginia Commonwealth University, Richmond, Virginia 23284, USA
| | - Tong Huang
- Department of Chemistry, Virginia Commonwealth University, Richmond, Virginia 23284, USA
| | - Ka Un Lao
- Department of Chemistry, Virginia Commonwealth University, Richmond, Virginia 23284, USA
| |
Collapse
|
2
|
Moorthi K, Maekawa S. Solvation Effects on Polarizability of Aromatic Fluids. J Phys Chem B 2023; 127:2237-2249. [PMID: 36877130 DOI: 10.1021/acs.jpcb.2c08520] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/07/2023]
Abstract
Elucidating solvation effects on polarizability in condensed phases is important for the description of the optical and dielectric behavior of high-refractive-index molecular materials. We study these effects via the polarizability model combining electronic, solvation, and vibrational contributions. The method is applied to well-characterized highly polarizable liquid precursors: benzene, naphthalene, and phenanthrene. We find that the solvation and vibrational terms are of opposite signs and cancel almost exactly for benzene, but for naphthalene and phenanthrene, a 2.5 and 5.0% decrease relative to the equilibrium electronic polarizability of the respective monomer, α1e, is predicted, respectively. The increase in electronic polarizability affects interaction polarizability of all contacts, which is the main reason for the increasing importance of solvation contribution. The calculated refractive indices agree very well with experiment for all three systems.
Collapse
Affiliation(s)
- Krzysztof Moorthi
- R&D Center, Mitsui Chemicals, Inc., 580-32 Nagaura, Sodegaura 299-0265, Japan
| | - Shintaro Maekawa
- R&D Center, Mitsui Chemicals, Inc., 580-32 Nagaura, Sodegaura 299-0265, Japan
| |
Collapse
|
3
|
Kříž K, Schmidt L, Andersson AT, Walz MM, van der Spoel D. An Imbalance in the Force: The Need for Standardized Benchmarks for Molecular Simulation. J Chem Inf Model 2023; 63:412-431. [PMID: 36630710 PMCID: PMC9875315 DOI: 10.1021/acs.jcim.2c01127] [Citation(s) in RCA: 4] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/06/2022] [Indexed: 01/12/2023]
Abstract
Force fields (FFs) for molecular simulation have been under development for more than half a century. As with any predictive model, rigorous testing and comparisons of models critically depends on the availability of standardized data sets and benchmarks. While such benchmarks are rather common in the fields of quantum chemistry, this is not the case for empirical FFs. That is, few benchmarks are reused to evaluate FFs, and development teams rather use their own training and test sets. Here we present an overview of currently available tests and benchmarks for computational chemistry, focusing on organic compounds, including halogens and common ions, as FFs for these are the most common ones. We argue that many of the benchmark data sets from quantum chemistry can in fact be reused for evaluating FFs, but new gas phase data is still needed for compounds containing phosphorus and sulfur in different valence states. In addition, more nonequilibrium interaction energies and forces, as well as molecular properties such as electrostatic potentials around compounds, would be beneficial. For the condensed phases there is a large body of experimental data available, and tools to utilize these data in an automated fashion are under development. If FF developers, as well as researchers in artificial intelligence, would adopt a number of these data sets, it would become easier to compare the relative strengths and weaknesses of different models and to, eventually, restore the balance in the force.
Collapse
Affiliation(s)
- Kristian Kříž
- Department
of Cell and Molecular Biology, Uppsala University, Box 596, SE-75124Uppsala, Sweden
| | - Lisa Schmidt
- Faculty
of Biosciences, University of Heidelberg, Heidelberg69117, Germany
| | - Alfred T. Andersson
- Department
of Cell and Molecular Biology, Uppsala University, Box 596, SE-75124Uppsala, Sweden
| | - Marie-Madeleine Walz
- Department
of Cell and Molecular Biology, Uppsala University, Box 596, SE-75124Uppsala, Sweden
| | - David van der Spoel
- Department
of Cell and Molecular Biology, Uppsala University, Box 596, SE-75124Uppsala, Sweden
| |
Collapse
|
4
|
Sheena Mary Y, Shyma Mary Y, Armaković S, Armaković SJ, Yadav R, Celik I, Razavi R. Investigation of reactive properties, adsorption on fullerene, DFT, molecular dynamics simulation of an anthracene derivative targeting dihydrofolate reductase and human dUTPase. J Biomol Struct Dyn 2022; 40:10952-10961. [PMID: 34278966 DOI: 10.1080/07391102.2021.1953602] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Abstract
Anthracenes are aromatic compounds with flexible structure and reactivity which are of great interest to theoretical and experimental chemists. Theoretical investigations of 1,4-dihydroxy-5,8-bis[2-(2-hydroxyethylamino)ethylamino]anthracene-9,10-dione (Mitoxantrone) (DDEA) based on density functional theory, molecular dynamics and adsorption on fullerene are reported in the present research. The suitable situation for adsorption with fullerene (C60) is the cyclohex-2-ene-1,4-dione ring of DDEA. Selected quantum-molecular descriptors have been calculated to predict the most reactive sites of the DDEA molecule. Interactions of DDEA with water have been studied using MD simulations. MD simulations were also used to study solubility parameter, a significant quantity for the development of pharmaceutical formulations. The affinity of DDEA on human dihydrofolate reductase and deoxyuridine triphosphatase enzymes was investigated by MD simulation of the protein-ligand complex obtained by molecular docking study.Communicated by Ramaswamy H. Sarma.
Collapse
Affiliation(s)
| | | | - Stevan Armaković
- Faculty of Sciences, Department of Physics, University of Novi Sad, Novi Sad, Serbia
| | - Sanja J Armaković
- Faculty of Sciences, Department of Chemistry, Biochemistry and Environmental Protection, University of Novi Sad, Novi Sad, Serbia
| | - Rohitash Yadav
- Department of Pharmacology, All India Institute of Medical Sciences, Rishikesh, India
| | - Ismail Celik
- Department of Pharmaceutical Chemistry, Faculty of Pharmacy, Erciyes University, Kayseri, Turkey
| | - Razieh Razavi
- Department of Chemistry, Faculty of Science, University of Jiroft, Jiroft, Iran
| |
Collapse
|
5
|
Akter S, Yamamoto Y, Zope RR, Baruah T. Static dipole polarizabilities of polyacenes using self-interaction-corrected density functional approximations. J Chem Phys 2021; 154:114305. [DOI: 10.1063/5.0041265] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Sharmin Akter
- Computational Science Program, University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Yoh Yamamoto
- Department of Physics, University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Rajendra R. Zope
- Department of Physics, University of Texas at El Paso, El Paso, Texas 79968, USA
| | - Tunna Baruah
- Department of Physics, University of Texas at El Paso, El Paso, Texas 79968, USA
| |
Collapse
|
6
|
Hernández Vera M, Jagau TC. Resolution-of-the-identity second-order Møller–Plesset perturbation theory with complex basis functions: Benchmark calculations and applications to strong-field ionization of polyacenes. J Chem Phys 2020; 152:174103. [DOI: 10.1063/5.0004843] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
| | - Thomas-C. Jagau
- Department of Chemistry, University of Munich (LMU), D-81377 Munich, Germany
| |
Collapse
|
7
|
Janz T, Güterbock M, Müller F, Quick M, Ioffe IN, Bischoff FA, Kovalenko SA. Evaluating the Solvent Stark Effect from Temperature‐Dependent Solvatochromic Shifts of Anthracene. Chemphyschem 2020; 21:610-615. [PMID: 31990122 PMCID: PMC7187296 DOI: 10.1002/cphc.202000010] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/06/2020] [Indexed: 11/12/2022]
Abstract
The solvent Stark effect on the spectral shifts of anthracene is studied with temperature‐dependent solvatochromic measurements. The Stark contribution ΔvStark to the absorption shift Δvp in polar solvents is measured to be ΔvStark=(53±35) cm−1, in reasonable agreement with dielectric continuum theory estimate of 28 cm−1, whereas the major shift Δvp∼300 cm−1 presumably originates from the solute quadrupole. We pay attention to the accurate correction of Δvp for the nonpolar contribution that is crucial when the shifts are modest in magnitude.
Collapse
Affiliation(s)
- Timais Janz
- Department of ChemistryHumboldt-Universität zu Berlin Brook-Taylor-Str. 2 D-12489 Berlin Germany
| | - Manuel Güterbock
- Department of ChemistryHumboldt-Universität zu Berlin Brook-Taylor-Str. 2 D-12489 Berlin Germany
| | - Fabian Müller
- Department of ChemistryHumboldt-Universität zu Berlin Brook-Taylor-Str. 2 D-12489 Berlin Germany
| | - Martin Quick
- Department of ChemistryHumboldt-Universität zu Berlin Brook-Taylor-Str. 2 D-12489 Berlin Germany
| | - Ilya N. Ioffe
- Department of ChemistryLomonosov Moscow State University Moscow Russia
| | - Florian A. Bischoff
- Department of ChemistryHumboldt-Universität zu Berlin Brook-Taylor-Str. 2 D-12489 Berlin Germany
| | - Sergey A. Kovalenko
- Department of ChemistryHumboldt-Universität zu Berlin Brook-Taylor-Str. 2 D-12489 Berlin Germany
| |
Collapse
|
8
|
Rao DJ, Mary YS, Mary YS, Resmi KS, Thomas R. Structure, Spectral Features, Bioactivity and Light Harvesting Properties of Methyl and Dimethyl Anthracene: Experimental and First Principle Studies. Polycycl Aromat Compd 2019. [DOI: 10.1080/10406638.2019.1709083] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
Affiliation(s)
- D. Jagadeeswara Rao
- Department of Physics, Dr. Lankapalli Bullayya College, Visakhapatnam, Andhra Pradesh, India
| | - Y. Sheena Mary
- Department of Physics, Fatima Mata National College (Autonomous), Kollam, Kerala, India
| | - Y. Shyma Mary
- Department of Physics, Fatima Mata National College (Autonomous), Kollam, Kerala, India
| | - K. S. Resmi
- Department of Physics, Fatima Mata National College (Autonomous), Kollam, Kerala, India
| | - Renjith Thomas
- Department of Chemistry, St. Berchmans College (Autonomous), Changanassery, Kerala, India
| |
Collapse
|
9
|
Accurate molecular polarizabilities with coupled cluster theory and machine learning. Proc Natl Acad Sci U S A 2019; 116:3401-3406. [PMID: 30733292 DOI: 10.1073/pnas.1816132116] [Citation(s) in RCA: 89] [Impact Index Per Article: 17.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
The molecular dipole polarizability describes the tendency of a molecule to change its dipole moment in response to an applied electric field. This quantity governs key intra- and intermolecular interactions, such as induction and dispersion; plays a vital role in determining the spectroscopic signatures of molecules; and is an essential ingredient in polarizable force fields. Compared with other ground-state properties, an accurate prediction of the molecular polarizability is considerably more difficult, as this response quantity is quite sensitive to the underlying electronic structure description. In this work, we present highly accurate quantum mechanical calculations of the static dipole polarizability tensors of 7,211 small organic molecules computed using linear response coupled cluster singles and doubles theory (LR-CCSD). Using a symmetry-adapted machine-learning approach, we demonstrate that it is possible to predict the LR-CCSD molecular polarizabilities of these small molecules with an error that is an order of magnitude smaller than that of hybrid density functional theory (DFT) at a negligible computational cost. The resultant model is robust and transferable, yielding molecular polarizabilities for a diverse set of 52 larger molecules (including challenging conjugated systems, carbohydrates, small drugs, amino acids, nucleobases, and hydrocarbon isomers) at an accuracy that exceeds that of hybrid DFT. The atom-centered decomposition implicit in our machine-learning approach offers some insight into the shortcomings of DFT in the prediction of this fundamental quantity of interest.
Collapse
|
10
|
Ghahremanpour MM, van Maaren PJ, Caleman C, Hutchison GR, van der Spoel D. Polarizable Drude Model with s-Type Gaussian or Slater Charge Density for General Molecular Mechanics Force Fields. J Chem Theory Comput 2018; 14:5553-5566. [PMID: 30281307 DOI: 10.1021/acs.jctc.8b00430] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Abstract
Gas-phase electric properties of molecules can be computed routinely using wave function methods or density functional theory (DFT). However, these methods remain computationally expensive for high-throughput screening of the vast chemical space of virtual compounds. Therefore, empirical force fields are a more practical choice in many cases, particularly since force field methods allow one to routinely predict the physicochemical properties in the condensed phases. This work presents Drude polarizable models, to increase the physical realism in empirical force fields, where the core particle is treated as a point charge and the Drude particle is treated either as a 1 s-Gaussian or a ns-Slater ( n = 1, 2, 3) charge density. Systematic parametrization to large high-quality quantum chemistry data obtained from the open access Alexandria Library ( https://doi.org/10.5281/zenodo.1004711 ) ensures the transferability of these parameters. The dipole moments and isotropic polarizabilities of the isolated molecules predicted by the proposed Drude models are in agreement with experiment with accuracy similar to DFT calculations at the B3LYP/aug-cc-pVTZ level of theory. The results show that the inclusion of explicit polarization into the models reduces the root-mean-square deviation with respect to DFT calculations of the predicted dipole moments of 152 dimers and clusters by more than 50%. Finally, we show that the accuracy of the electrostatic interaction energy of the water dimers can be improved systematically by the introduction of polarizable smeared charges as a model for charge penetration.
Collapse
Affiliation(s)
- Mohammad Mehdi Ghahremanpour
- Uppsala Center for Computational Chemistry, Department of Cell and Molecular Biology , Uppsala University , Husargatan 3 , Box 596, SE-75124 Uppsala , Sweden
| | - Paul J van Maaren
- Uppsala Center for Computational Chemistry, Department of Cell and Molecular Biology , Uppsala University , Husargatan 3 , Box 596, SE-75124 Uppsala , Sweden
| | - Carl Caleman
- Department of Physics and Astronomy , Uppsala University , Box 516, SE-75120 Uppsala , Sweden.,Center for Free-Electron Laser Science , Deutsches Elektronen-Synchrotron , DE-22607 Hamburg , Germany
| | - Geoffrey R Hutchison
- Department of Chemistry , University of Pittsburgh , Pittsburgh , Pennsylvania 15260 , United States
| | - David van der Spoel
- Uppsala Center for Computational Chemistry, Department of Cell and Molecular Biology , Uppsala University , Husargatan 3 , Box 596, SE-75124 Uppsala , Sweden
| |
Collapse
|
11
|
|
12
|
Few S, Chia C, Teo D, Kirkpatrick J, Nelson J. The impact of chemical structure and molecular packing on the electronic polarisation of fullerene arrays. Phys Chem Chem Phys 2018; 19:18709-18720. [PMID: 28696470 DOI: 10.1039/c7cp00317j] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Electronic polarisation contributes to the electronic landscape as seen by separating charges in organic materials. The nature of electronic polarisation depends on the polarisability, density, and arrangement of polarisable molecules. In this paper, we introduce a microscopic, coarse-grained model in which we treat each molecule as a polarisable site, and use an array of such polarisable dipoles to calculate the electric field and associated energy of any arrangement of charges in the medium. The model incorporates chemical structure via the molecular polarisability and molecular packing patterns via the structure of the array. We use this model to calculate energies of charge pairs undergoing separation in finite fullerene lattices of different chemical and crystal structures. The effective dielectric constants that we estimate from this approach are in good quantitative agreement with those measured experimentally in C60 and phenyl-C61-butyric acid methyl ester (PCBM) films, but we find significant differences in dielectric constant depending on packing and on direction of separation, which we rationalise in terms of density of polarisable fullerene cages in regions of high field. In general, we find lattices containing molecules of more isotropic polarisability tensors exhibit higher dielectric constants. By exploring several model systems we conclude that differences in molecular polarisability (and therefore, chemical structure) appear to be less important than differences in molecular packing and separation direction in determining the energetic landscape for charge separation. We note that the results are relevant for finite lattices, but not necessarily for infinite systems. We propose that the model could be used to design molecular systems for effective electronic screening.
Collapse
Affiliation(s)
- Sheridan Few
- Centre for Plastic Electronics, Department of Physics, Imperial College London, London SW7 2AZ, UK.
| | | | | | | | | |
Collapse
|
13
|
Luo Z, Ma Y, Liu C, Ma H. Efficient Reconstruction of CAS-CI-Type Wave Functions for a DMRG State Using Quantum Information Theory and a Genetic Algorithm. J Chem Theory Comput 2017; 13:4699-4710. [DOI: 10.1021/acs.jctc.7b00439] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022]
Affiliation(s)
- Zhen Luo
- Key
Laboratory of Mesoscopic Chemistry of MOE, School of Chemistry and
Chemical Engineering, Nanjing University, Nanjing 210023, China
| | - Yingjin Ma
- Department
of High Performance Computing Technology and Application Development,
Computer Network Information Center, Chinese Academy of Sciences, Beijing 100190, China
- Center of Scientific Computing Applications & Research, Chinese Academy of Sciences, Beijing 100190, China
| | - Chungen Liu
- Key
Laboratory of Mesoscopic Chemistry of MOE, School of Chemistry and
Chemical Engineering, Nanjing University, Nanjing 210023, China
| | - Haibo Ma
- Key
Laboratory of Mesoscopic Chemistry of MOE, School of Chemistry and
Chemical Engineering, Nanjing University, Nanjing 210023, China
| |
Collapse
|
14
|
Morini F, Deleuze MS, Watanabe N, Takahashi M. Theoretical study of molecular vibrations in electron momentum spectroscopy experiments on furan: an analytical versus a molecular dynamical approach. J Chem Phys 2015; 142:094308. [PMID: 25747082 DOI: 10.1063/1.4913642] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The influence of thermally induced nuclear dynamics (molecular vibrations) in the initial electronic ground state on the valence orbital momentum profiles of furan has been theoretically investigated using two different approaches. The first of these approaches employs the principles of Born-Oppenheimer molecular dynamics, whereas the so-called harmonic analytical quantum mechanical approach resorts to an analytical decomposition of contributions arising from quantized harmonic vibrational eigenstates. In spite of their intrinsic differences, the two approaches enable consistent insights into the electron momentum distributions inferred from new measurements employing electron momentum spectroscopy and an electron impact energy of 1.2 keV. Both approaches point out in particular an appreciable influence of a few specific molecular vibrations of A1 symmetry on the 9a1 momentum profile, which can be unravelled from considerations on the symmetry characteristics of orbitals and their energy spacing.
Collapse
Affiliation(s)
- Filippo Morini
- Center of Molecular and Materials Modelling, Hasselt University, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium
| | - Michael S Deleuze
- Center of Molecular and Materials Modelling, Hasselt University, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium
| | - Noboru Watanabe
- Institute of Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai 980-8577, Japan
| | - Masahiko Takahashi
- Institute of Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai 980-8577, Japan
| |
Collapse
|
15
|
Few S, Frost JM, Nelson J. Models of charge pair generation in organic solar cells. Phys Chem Chem Phys 2015; 17:2311-2325. [DOI: 10.1039/c4cp03663h] [Citation(s) in RCA: 136] [Impact Index Per Article: 15.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Abstract
A critical perspective on modelling of charge generation in organic photovoltaics, focussing on interfacial electronic states, electrostatics, and dynamic processes.
Collapse
Affiliation(s)
- Sheridan Few
- Centre for Plastic Electronics
- Department of Physics
- Imperial College London
- London SW7 2AZ
- UK
| | - Jarvist M. Frost
- Centre for Plastic Electronics
- Department of Physics
- Imperial College London
- London SW7 2AZ
- UK
| | - Jenny Nelson
- Centre for Plastic Electronics
- Department of Physics
- Imperial College London
- London SW7 2AZ
- UK
| |
Collapse
|
16
|
Sabirov D. A correlation between the mean polarizability of the “kinked” polycyclic aromatic hydrocarbons and the number of H…H bond critical points predicted by Atoms-in-Molecules theory. COMPUT THEOR CHEM 2014. [DOI: 10.1016/j.comptc.2014.01.001] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
|