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Guo R, Uddin MN, Price LS, Price SL. Calculation of Diamagnetic Susceptibility Tensors of Organic Crystals: From Coronene to Pharmaceutical Polymorphs. J Phys Chem A 2020; 124:1409-1420. [PMID: 31951408 PMCID: PMC7145345 DOI: 10.1021/acs.jpca.9b07104] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Abstract
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Understanding
why crystallization in strong magnetic fields can
lead to new polymorphs requires methods to calculate the diamagnetic
response of organic molecular crystals. We develop the calculation
of the macroscopic diamagnetic susceptibility tensor, χcryst, for organic molecular crystals using periodic density
functional methods. The crystal magnetic susceptibility tensor, χcryst, for all experimentally known polymorphs,
and its molecular counterpart, χmol,
are calculated for flexible pharmaceuticals such as carbamazepine,
flufenamic acid, and chalcones, and rigid molecules, such as benzene,
pyridine, acridine, anthracene, and coronene, whose molecular magnetic
properties have been traditionally studied. A tensor addition method
is developed to approximate the crystal diamagnetic susceptibility
tensor, χcryst, from the molecular one, χmol, giving good agreement with those calculated
directly using the more costly periodic density functional method
for χcryst. The response of pharmaceutical
molecules and crystals to magnetic fields, as embodied by χcryst, is largely determined by the packing in the crystal,
as well as the molecular conformation. The anisotropy of χcryst can vary considerably between polymorphs though
the isotropic terms are fairly constant. The implications for developing
a computational method for predicting whether crystallization in a
magnetic field could produce a novel or different polymorph are discussed.
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Affiliation(s)
- Rui Guo
- Department of Chemistry , University College London , 20 Gordon Street , London WC1H 0AJ , U.K
| | - M Nadia Uddin
- Department of Chemistry , University College London , 20 Gordon Street , London WC1H 0AJ , U.K
| | - Louise S Price
- Department of Chemistry , University College London , 20 Gordon Street , London WC1H 0AJ , U.K
| | - Sarah L Price
- Department of Chemistry , University College London , 20 Gordon Street , London WC1H 0AJ , U.K
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Field-Theodore TE, Olejniczak M, Jaszuński M, Wilson DJD. NMR shielding constants in group 15 trifluorides. Phys Chem Chem Phys 2018; 20:23025-23033. [DOI: 10.1039/c8cp04056g] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
By combining large basis and complete basis set (CBS) extrapolations of the coupled-cluster equilibrium geometry results with rovibrational and relativistic corrections, we demonstrate that it is possible to achieve near-quantitative accuracy for the NMR shielding constants in three group 15 trifluorides – NF3, PF3 and AsF3.
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Affiliation(s)
- Terri E. Field-Theodore
- Department of Chemistry and Physics
- La Trobe Institute for Molecular Science
- La Trobe University
- Melbourne
- Australia
| | | | - Michał Jaszuński
- Institute of Organic Chemistry
- Polish Academy of Sciences
- 01-224 Warszawa
- Poland
| | - David J. D. Wilson
- Department of Chemistry and Physics
- La Trobe Institute for Molecular Science
- La Trobe University
- Melbourne
- Australia
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Olejniczak M, Bast R, Pereira Gomes AS. On the calculation of second-order magnetic properties using subsystem approaches in a relativistic framework. Phys Chem Chem Phys 2017; 19:8400-8415. [DOI: 10.1039/c6cp08561j] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The implementation of second-order magnetic properties in a frozen density embedding scheme in a four component relativistic framework is outlined and applied to model H2X–H2O systems (X = Se, Te, Po).
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Affiliation(s)
- Małgorzata Olejniczak
- Université de Lille
- CNRS
- UMR 8523 – PhLAM – Physique des Lasers
- Atomes et Molécules
- F-59000 Lille
| | - Radovan Bast
- High Performance Computing Group
- UiT The Arctic University of Norway
- N-9037 Tromsø
- Norway
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Iliaš M, Jensen HJA, Bast R, Saue T. Gauge origin independent calculations of molecular magnetisabilities in relativistic four-component theory. Mol Phys 2013. [DOI: 10.1080/00268976.2013.798436] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Miroslav Iliaš
- a Department of Chemistry, Faculty of Natural Sciences , Matej Bel University , –Banská Bystrica , Slovakia
| | - Hans Jørgen Aa. Jensen
- b Department of Physics, Chemistry and Pharmacy , University of Southern Denmark , Odense M , Denmark
| | - Radovan Bast
- c Laboratoire de Chimie et Physique Quantiques (UMR 5626) , CNRS/Université de Toulouse , 3 (Paul Sabatier), –, Toulouse , France
| | - Trond Saue
- c Laboratoire de Chimie et Physique Quantiques (UMR 5626) , CNRS/Université de Toulouse , 3 (Paul Sabatier), –, Toulouse , France
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Helgaker T, Coriani S, Jørgensen P, Kristensen K, Olsen J, Ruud K. Recent Advances in Wave Function-Based Methods of Molecular-Property Calculations. Chem Rev 2012; 112:543-631. [DOI: 10.1021/cr2002239] [Citation(s) in RCA: 463] [Impact Index Per Article: 38.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Trygve Helgaker
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway
| | - Sonia Coriani
- Dipartimento di Scienze Chimiche e Farmaceutiche, Università degli Studi di Trieste, Via Giorgieri 1, I-34127 Trieste, Italy
| | - Poul Jørgensen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Kasper Kristensen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Jeppe Olsen
- Lundbeck Center for Theoretical Chemistry, Department of Chemistry, Aarhus University, 8000 Aarhus C, Denmark
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Tromsø, N-9037 Tromsø, Norway
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Johansson MP, Swart M. Magnetizabilities at Self-Interaction-Corrected Density Functional Theory Level. J Chem Theory Comput 2010; 6:3302-11. [DOI: 10.1021/ct100235b] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Affiliation(s)
- Mikael P. Johansson
- Institut de Química Computacional, Universitat de Girona, Campus Montilivi, ES-17071 Girona, Spain and Laboratory for Instruction in Swedish, Department of Chemistry, University of Helsinki, FI-00014 Helsinki, Finland
| | - Marcel Swart
- Institut de Química Computacional, Universitat de Girona, Campus Montilivi, ES-17071 Girona, Spain and Laboratory for Instruction in Swedish, Department of Chemistry, University of Helsinki, FI-00014 Helsinki, Finland
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Autschbach J. Computing chiroptical properties with first-principles theoretical methods: Background and illustrative examples. Chirality 2009; 21 Suppl 1:E116-52. [DOI: 10.1002/chir.20789] [Citation(s) in RCA: 273] [Impact Index Per Article: 18.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Mort BC, Autschbach J. A Pragmatic Recipe for the Treatment of Hindered Rotations in the Vibrational Averaging of Molecular Properties. Chemphyschem 2008; 9:159-70. [DOI: 10.1002/cphc.200700628] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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Mort BC, Autschbach J. Magnitude of zero-point vibrational corrections to optical rotation in rigid organic molecules: a time-dependent density functional study. J Phys Chem A 2007; 109:8617-23. [PMID: 16834261 DOI: 10.1021/jp051685y] [Citation(s) in RCA: 94] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The zero-point vibrational corrections (ZPVCs) to the optical rotation of 22 rigid organic molecules have been calculated using time-dependent density functional theory with the B3LYP hybrid functional. We outline an implementation for calculating ZPVCs that can be applied with a variety of quantum chemistry programs and methods. It is shown that the ZPVCs to optical rotation have a wide range of values and can be quite significant depending on the molecule. On average, it has been determined that vibrational corrections can account for about 20% of the optical rotation for the equilibrium value. It is also concluded that vibrational effects alone cannot be the only factor in improving the calculated values of optical rotation with respect to experimental data measured in solution.
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Affiliation(s)
- Brendan C Mort
- Department of Chemistry, University at Buffalo, State University of New York, Buffalo, New York 14260-3000, USA
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Aidas K, Kongsted J, Nielsen CB, Mikkelsen KV, Christiansen O, Ruud K. Gauge-origin independent magnetizabilities from hybrid quantum mechanics/molecular mechanics models: Theory and applications to liquid water. Chem Phys Lett 2007. [DOI: 10.1016/j.cplett.2007.06.003] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Mort BC, Autschbach J. Vibrational Corrections to Magneto-Optical Rotation: A Computational Study. J Phys Chem A 2007; 111:5563-71. [PMID: 17539612 DOI: 10.1021/jp070448n] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Vibrational corrections to the Verdet constants of nine molecules (H2, N2, CO, H2O, CH4, benzene, toluene, p-xylene, and o-xylene) were calculated with pure density functional theory (DFT), hybrid DFT, and an approximate coupled-cluster theory. Comparisons are made for the accuracy of the vibrational averages among different methods and with respect to experimental data where available. It is found that vibrational corrections to magneto-optical rotation can be as large as 10% of the equilibrium value. Hybrid DFT with the B3LYP hybrid functional offers reasonable accuracy at a relatively inexpensive computational cost for accurate calculations of vibrationally averaged Verdet constants.
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Affiliation(s)
- Brendan C Mort
- Department of Chemistry, University at Buffalo, State University of New York, Buffalo, NY 14260-3000, USA
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Ferrighi L, Marchesan D, Ruud K, Frediani L, Coriani S. Gauge-origin-independent magnetizabilities of solvated molecules using the polarizable continuum model. J Chem Phys 2005; 123:204104. [PMID: 16351237 DOI: 10.1063/1.2121587] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present an implementation of the polarizable continuum model in its integral equation formulation for the calculation of the magnetizabilities of solvated molecules. The gauge-origin independence of the calculated magnetizabilities and the fast basis set convergence are ensured through the use of London atomic orbitals. Our implementation can use Hartree-Fock and multiconfigurational self-consistent-field (MCSCF) wave functions as well as density-functional theory including hybrid functionals such as B3LYP. We present the results of dielectric continuum effects on water and pyridine using MCSCF wave functions, as well as dielectric medium effects on the magnetizability of the aromatic amino acids as a model for how a surrounding protein environment affects the magnetizability of these molecules. It is demonstrated that the dielectric medium effects on the magnetizability anisotropies of the aromatic amino acids may be substantial, being as large as 25% in the case of tyrosine.
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Affiliation(s)
- Lara Ferrighi
- Department of Chemistry, University of Tromso, N-9037 Tromso, Norway
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Rizzo A, Cappelli C, Junquera-Hernández JM, de Merás AMJS, Sánchez-Marín J, Wilson DJD, Helgaker T. A computational study of some electric and magnetic properties of gaseous BF3 and BCl3. J Chem Phys 2005; 123:114307. [PMID: 16392559 DOI: 10.1063/1.2034487] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present the results of an extended computational study of the electric and magnetic properties connected to Cotton-Mouton birefringences, on the trifluoro- and trichloroborides in the gas phase. The electric dipole polarizabilities, magnetizabilities, quadrupole moments, and higher-order hypersusceptibilities--expressed as quadratic and cubic frequency-dependent response functions--are computed within Hartree-Fock, density-functional, and coupled-cluster response theories employing singly and doubly augmented correlation-consistent basis sets and London orbitals in the magnetic property calculations. The results, which illustrate the capability of time-dependent density-functional theory for electron-rich systems, are compared with available experimental data. Revised values of both experimentally derived quadrupole moment of BF3, 2.72 +/- 0.15 a.u., and magnetizability anisotropy of BCl3, -0.45 +/- 0.09 a.u., both obtained in birefringence experiments that neglect the effects of higher-order hypersusceptibilities, are presented. In the theoretical limit the traceless quadrupole moments of BF3 and BCl3 are determined to be 3.00 +/- 0.01 and 0.71 +/- 0.01 a.u., respectively.
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Affiliation(s)
- Antonio Rizzo
- Istituto per i Processi Chimico-Fisici del Consiglio Nazionale delle Ricerche, Pisa, Italy.
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Rizzo A, Cappelli C, Jansík B, Jonsson D, Sałek P, Coriani S, Wilson DJD, Helgaker T, Agren H. Density-functional theory study of electric and magnetic properties of hexafluorobenzene in the vapor phase. J Chem Phys 2005; 122:234314. [PMID: 16008448 DOI: 10.1063/1.1935513] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
A series of electric and magnetic properties of hexafluorobenzene have been calculated, including the electric dipole polarizability, magnetizability, electric quadrupole moment, and nonlinear mixed electric dipole-magnetic dipole-electric quadrupole hyperpolarizabilities needed to obtain estimates of the Kerr, Cotton-Mouton, Buckingham, Jones, and magnetoelectric birefringences in the vapor phase. Time-dependent density-functional theory was employed for the calculation of linear-, quadratic, and cubic response functions. A number of density functionals have been considered, along with Sadlej's triple-zeta basis set and the augmented correlation-consistent polarized valence double zeta and augmented correlation-consistent polarized valence triple zeta basis sets. Comparisons have been made with experiment where possible. The analysis of results allows for an assessment of the capability of time-dependent density-functional theory for high-order electromagnetic properties of an electron-rich system such as hexafluorobenzene.
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Affiliation(s)
- Antonio Rizzo
- Istituto per i Processi Chimico-Fisici del Consiglio Nazionale delle Ricerche, via G. Moruzzi 1, 1-56124 Pisa, Italy.
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Åstrand PO, Ruud K. Zero-point vibrational contributions to fluorine shieldings in organic molecules. Phys Chem Chem Phys 2003. [DOI: 10.1039/b307345a] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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