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Li C, Zhu X, Xu M. A Theoretical Investigation into the Oligomer Structure of Carbon Dots Formed from Small-Molecule Precursors. Molecules 2024; 29:2920. [PMID: 38930988 PMCID: PMC11206910 DOI: 10.3390/molecules29122920] [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: 05/21/2024] [Revised: 06/12/2024] [Accepted: 06/17/2024] [Indexed: 06/28/2024] Open
Abstract
In-depth insights into the oligomers of carbon dots (CDs) prepared from small-molecule precursors are important in the study of the carbonization mechanism of CDs and for our knowledge of their complex structure. Herein, citric acid (CA) and ethylenediamine (EDA) were used as small-molecule precursors to prepare CDs in an aqueous solution. The structure of oligomers acquired from CA and EDA in different molar ratios and their formation process were first studied using density functional theory, including the dispersion correction (DFT-D3) method. The results showed that the energy barrier of dimer cyclization was higher than that of its linear polymerization, but the free energy of the cyclized product was much lower than that of its reactant, and IPCA (5-oxo-1,-2,3,5-tetrahydroimidazo [1,2-a]pyridine-7-carboxylic acid) could therefore be obtained under certain conditions. The oligomers obtained from different molar ratios of EDA and CA were molecular clusters formed by short polyamide chains through intermolecular forces; with the exception of when the molar ratio of EDA to CA was 0.5, excessive CA did not undergo an amidation reaction but rather attained molecular clusters directly through intermolecular forces. These oligomers exhibited significant differences in their surface functional groups, which would affect the carbonization process and the surface structure of CDs.
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Affiliation(s)
| | - Xu Zhu
- Henan Key Laboratory of Biomolecular Recognition and Sensing, Henan Joint International Research Laboratory of Chemo/Biosensing and Early Diagnosis of Major Diseases, College of Chemistry and Chemical Engineering, Shangqiu Normal University, Shangqiu 476000, China; (C.L.); (M.X.)
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2
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Zhugayevych A, Sun W, van der Heide T, Lien-Medrano CR, Frauenheim T, Tretiak S. Benchmark Data Set of Crystalline Organic Semiconductors. J Chem Theory Comput 2023; 19:8481-8490. [PMID: 37969072 PMCID: PMC10688188 DOI: 10.1021/acs.jctc.3c00861] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/05/2023] [Revised: 11/02/2023] [Accepted: 11/03/2023] [Indexed: 11/17/2023]
Abstract
This work reports a Benchmark Data set of Crystalline Organic Semiconductors to test calculations of the structural and electronic properties of these materials in the solid state. The data set contains 67 crystals consisting of mostly rigid molecules with a single dominant conformer, covering the majority of known structural types. The experimental crystal structure is available for the entire data set, whereas zero-temperature unit cell volume can be reliably estimated for a subset of 28 crystals. Using this subset, we benchmark r2SCAN-D3 and PBE-D3 density functionals. Then, for the entire data set, we benchmark approximate density functional theory (DFT) methods, including GFN1-xTB and DFTB3(3ob-3-1), with various dispersion corrections against r2SCAN-D3. Our results show that r2SCAN-D3 geometries are accurate within a few percent, which is comparable to the statistical uncertainty of experimental data at a fixed temperature, but the unit cell volume is systematically underestimated by 2% on average. The several times faster PBE-D3 provides an unbiased estimate of the volume for all systems except for molecules with highly polar bonds, for which the volume is substantially overestimated in correlation with the underestimation of atomic charges. Considered approximate DFT methods are orders of magnitude faster and provide qualitatively correct but overcompressed crystal structures unless the dispersion corrections are fitted by unit cell volume.
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Affiliation(s)
- Andriy Zhugayevych
- Max
Planck Institute for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany
| | - Wenbo Sun
- Bremen
Center for Computational Materials Science, Am Fallturm 1, 28359 Bremen, Germany
| | - Tammo van der Heide
- Bremen
Center for Computational Materials Science, Am Fallturm 1, 28359 Bremen, Germany
| | | | - Thomas Frauenheim
- Bremen
Center for Computational Materials Science, Am Fallturm 1, 28359 Bremen, Germany
| | - Sergei Tretiak
- Los
Alamos National Laboratory, Los Alamos, New Mexico 87545, United States
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3
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Belyanchikov M, Bedran Z, Savinov M, Bednyakov P, Proschek P, Prokleska J, Abalmasov V, Zhukova E, Thomas VG, Dudka A, Zhugayevych A, Petzelt J, Prokhorov A, Anzin V, Kremer R, Fischer JKH, Lunkenheimer P, Loidl A, Uykur E, Dressel M, Gorshunov B. Single-particle and collective excitations of polar water molecules confined in nano-pores within cordierite crystal lattice. Phys Chem Chem Phys 2022; 24:6890-6904. [DOI: 10.1039/d1cp05338h] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Recently, the low-temperature phase of water molecules confined within nanocages formed by the crystalline lattice of water-containing cordierite crystals was reported to comprise domains with ferroelectrically ordered dipoles within the...
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Vasilchenko V, Levchenko S, Perebeinos V, Zhugayevych A. Small Polarons in Two-Dimensional Pnictogens: A First-Principles Study. J Phys Chem Lett 2021; 12:4674-4680. [PMID: 33979171 DOI: 10.1021/acs.jpclett.1c00929] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
We report the first-principles study of small polarons in the most stable two-dimensional pnictogen allotropes: blue and black phosphorene and arsenene. While both cations and anions of small hydrogen-passivated clusters show charge localization and local lattice distortions, only the hole polaron in the blue allotrope is stable in the infinite size cluster limit. The adiabatic polaron relaxation energy is found to be 0.1 eV for phosphorene and 0.15 eV for arsenene. The polaron is localized on lone-pair orbitals with half of the extra charge distributed among 13 atoms. In the blue phosphorene, these orbitals form the valence band's top with a relatively flat band dispersion. However, in the black phosphorene, lone-pair orbitals hybridize with bonding orbitals, which explains the difference in hole localization strength between the two topologically equivalent allotropes. The polaron's adiabatic barriers for motion are small compared to the most strongly coupled phonon frequency, implying the polaron barrierless motion.
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Affiliation(s)
| | - Sergey Levchenko
- Skolkovo Institute of Science and Technology, Moscow 143026, Russia
| | - Vasili Perebeinos
- Department of Electrical Engineering, University at Buffalo, Buffalo, New York 14260, United States
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Halaby S, Martynowycz M, Zhu Z, Tretiak S, Zhugayevych A, Gonen T, Seifrid M. Microcrystal Electron Diffraction for Molecular Design of Functional Non-Fullerene Acceptor Structures. CHEMISTRY OF MATERIALS : A PUBLICATION OF THE AMERICAN CHEMICAL SOCIETY 2021; 33:966-977. [PMID: 36942096 PMCID: PMC10024952 DOI: 10.1021/acs.chemmater.0c04111] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
Understanding the relationship between molecular structure and solid-state arrangement informs about the design of new organic semiconductor (OSC) materials with improved optoelectronic properties. However, determining their atomic structure remains challenging. Here, we report the lattice organization of two non-fullerene acceptors (NFAs) determined using microcrystal electron diffraction (MicroED) from crystals not traceable by X-ray crystallography. The MicroED structure of o-IDTBR was determined from a powder without crystallization, and a new polymorph of ITIC-Th is identified with the most distorted backbone of any NFA. Electronic structure calculations elucidate the relationships between molecular structures, lattice arrangements, and charge-transport properties for a number of NFA lattices. The high dimensionality of the connectivity of the 3D wire mesh topology is the best for robust charge transport within NFA crystals. However, some examples suffer from uneven electronic coupling. MicroED combined with advanced electronic structure modeling is a powerful new approach for structure determination, exploring polymorphism and guiding the design of new OSCs and NFAs.
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Affiliation(s)
- Steve Halaby
- Howard Hughes Medical Institute, David Geffen School of Medicine, Department of Biological Chemistry and Physiology, University of California, Los Angeles, California 90095, United States
| | - Michael Martynowycz
- Howard Hughes Medical Institute, David Geffen School of Medicine, Department of Biological Chemistry and Physiology, University of California, Los Angeles, California 90095, United States
| | - Ziyue Zhu
- Center for Polymers and Organic Solids, Department of Chemistry and Biochemistry, University of California, Santa Barbara, California 93106, United States
| | - Sergei Tretiak
- Physics and Chemistry of Materials, Theoretical Division and Center for Integrated Nanotechnologies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, United States; Skolkovo Institute of Science and Technology, 143026 Moscow, Russia
| | | | - Tamir Gonen
- Howard Hughes Medical Institute, David Geffen School of Medicine, Department of Biological Chemistry and Physiology, University of California, Los Angeles, California 90095, United States
| | - Martin Seifrid
- Center for Polymers and Organic Solids, Department of Chemistry and Biochemistry, University of California, Santa Barbara, California 93106, United States
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Sosorev AY, Parashchuk OD, Tukachev NV, Maslennikov DR, Dominskiy DI, Borshchev OV, Polinskaya MS, Skorotetcky MS, Kharlanov OG, Paraschuk DY. Suppression of dynamic disorder by electrostatic interactions in structurally close organic semiconductors. Phys Chem Chem Phys 2021; 23:15485-15491. [PMID: 34278404 DOI: 10.1039/d1cp01599k] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
Abstract
Dynamic disorder manifested in fluctuations of charge transfer integrals considerably hinders charge transport in high-mobility organic semiconductors. Accordingly, strategies for suppression of the dynamic disorder are highly desirable. In this study, we suggest a novel promising strategy for suppression of dynamic disorder-tuning the molecular electrostatic potential. Specifically, we show that the intensities of the low-frequency (LF) Raman spectra for crystalline organic semiconductors consisting of π-isoelectronic small molecules (i.e. bearing the same number of π electrons)-benzothieno[3,2-b][1]benzothiophene (BTBT), chrysene, tetrathienoacene (TTA) and naphtho[1,2-b:5,6-b']dithiophene (NDT)-differ significantly, indicating significant differences in the dynamic disorder. This difference is explained by suppression of the dynamic disorder in chrysene and NDT because of stronger intermolecular electrostatic interactions. As a result, guidelines for the increase of the crystal rigidity for the rational design of high-mobility organic semiconductors are suggested.
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Affiliation(s)
- Andrey Yu Sosorev
- Institute of Spectroscopy of the Russian Academy of Sciences, Fizicheskaya Str., 5, Troitsk, Moscow 108840, Russia. and Faculty of Physics, M.V. Lomonosov Moscow State University, Leninskie Gory 1/62, Moscow 119991, Russia.
| | - Olga D Parashchuk
- Faculty of Physics, M.V. Lomonosov Moscow State University, Leninskie Gory 1/62, Moscow 119991, Russia.
| | - Nikita V Tukachev
- Institute of Spectroscopy of the Russian Academy of Sciences, Fizicheskaya Str., 5, Troitsk, Moscow 108840, Russia.
| | - Dmitry R Maslennikov
- Institute of Spectroscopy of the Russian Academy of Sciences, Fizicheskaya Str., 5, Troitsk, Moscow 108840, Russia.
| | - Dmitry I Dominskiy
- Faculty of Physics, M.V. Lomonosov Moscow State University, Leninskie Gory 1/62, Moscow 119991, Russia.
| | - Oleg V Borshchev
- Enikolopov Institute of Synthetic Polymeric Materials, Russian Academy of Science, Profsoyuznaya 70, Moscow 117393, Russia
| | - Marina S Polinskaya
- Enikolopov Institute of Synthetic Polymeric Materials, Russian Academy of Science, Profsoyuznaya 70, Moscow 117393, Russia
| | - Maxim S Skorotetcky
- Enikolopov Institute of Synthetic Polymeric Materials, Russian Academy of Science, Profsoyuznaya 70, Moscow 117393, Russia
| | - Oleg G Kharlanov
- Faculty of Physics, M.V. Lomonosov Moscow State University, Leninskie Gory 1/62, Moscow 119991, Russia.
| | - Dmitry Yu Paraschuk
- Faculty of Physics, M.V. Lomonosov Moscow State University, Leninskie Gory 1/62, Moscow 119991, Russia.
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Di Maiolo F, Brey D, Binder R, Burghardt I. Quantum dynamical simulations of intra-chain exciton diffusion in an oligo (para-phenylene vinylene) chain at finite temperature. J Chem Phys 2020; 153:184107. [PMID: 33187420 DOI: 10.1063/5.0027588] [Citation(s) in RCA: 13] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022] Open
Abstract
We report on quantum dynamical simulations of exciton diffusion in an oligo(para-phenylene vinylene) chain segment with 20 repeat units (OPV-20) at finite temperature, complementary to our recent study of the same system at T = 0 K [R. Binder and I. Burghardt, J. Chem. Phys. 152, 204120 (2020)]. Accurate quantum dynamical simulations are performed using the multi-layer multi-configuration time-dependent Hartree method as applied to a site-based Hamiltonian comprising 20 electronic states of Frenkel type and 460 vibrational modes, including site-local quinoid-distortion modes along with site-correlated bond-length alternation (BLA) modes, ring torsional modes, and an explicit harmonic-oscillator bath. A first-principles parameterized Frenkel-Holstein type Hamiltonian is employed, which accounts for correlations between the ring torsional modes and the anharmonically coupled BLA coordinates located at the same junction. Thermally induced fluctuations of the torsional modes are described by a stochastic mean-field approach, and their impact on the excitonic motion is characterized in terms of the exciton mean-squared displacement. A normal diffusion regime is observed under periodic boundary conditions, apart from transient localization features. Even though the polaronic exciton species are comparatively weakly bound, exciton diffusion is found to be a coherent-rather than hopping type-process, driven by the fluctuations of the soft torsional modes. Similar to the previous observations for oligothiophenes, the evolution for the most part exhibits a near-adiabatic dynamics of local exciton ground states (LEGSs) that adjust to the local conformational dynamics. However, a second mechanism, involving resonant transitions between neighboring LEGSs, gains importance at higher temperatures.
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Affiliation(s)
- Francesco Di Maiolo
- Institute for Physical and Theoretical Chemistry, Goethe University, Max-von-Laue-Str. 7, 60438 Frankfurt/Main, Germany
| | - Dominik Brey
- Institute for Physical and Theoretical Chemistry, Goethe University, Max-von-Laue-Str. 7, 60438 Frankfurt/Main, Germany
| | - Robert Binder
- Institute for Physical and Theoretical Chemistry, Goethe University, Max-von-Laue-Str. 7, 60438 Frankfurt/Main, Germany
| | - Irene Burghardt
- Institute for Physical and Theoretical Chemistry, Goethe University, Max-von-Laue-Str. 7, 60438 Frankfurt/Main, Germany
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8
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Nuraliev MK, Parashchuk OD, Tukachev NV, Repeev YA, Maslennikov DR, Borshchev OV, Vainer YG, Paraschuk DY, Sosorev AY. Toward probing of the local electron–phonon interaction in small-molecule organic semiconductors with Raman spectroscopy. J Chem Phys 2020; 153:174303. [DOI: 10.1063/5.0023754] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023] Open
Affiliation(s)
- Muzaffar K. Nuraliev
- Faculty of Physics and International Laser Center, Lomonosov Moscow State University, Leninskie Gory 1/62, Moscow 119991, Russia
| | - Olga D. Parashchuk
- Faculty of Physics and International Laser Center, Lomonosov Moscow State University, Leninskie Gory 1/62, Moscow 119991, Russia
| | - Nikita V. Tukachev
- Institute of Spectroscopy of the Russian Academy of Sciences, Fizicheskaya Str., 5, Troitsk, Moscow 108840, Russia
- Center for Energy Science and Technology, Skolkovo Institute of Science and Technology, Moscow 143026, Russia
| | - Yuri A. Repeev
- Institute of Spectroscopy of the Russian Academy of Sciences, Fizicheskaya Str., 5, Troitsk, Moscow 108840, Russia
| | - Dmitry R. Maslennikov
- Institute of Spectroscopy of the Russian Academy of Sciences, Fizicheskaya Str., 5, Troitsk, Moscow 108840, Russia
| | - Oleg V. Borshchev
- Enikolopov Institute of Synthetic Polymeric Materials, Russian Academy of Science, Profsoyuznaya 70, Moscow 117393, Russia
| | - Yuri G. Vainer
- Institute of Spectroscopy of the Russian Academy of Sciences, Fizicheskaya Str., 5, Troitsk, Moscow 108840, Russia
| | - Dmitry Yu. Paraschuk
- Faculty of Physics and International Laser Center, Lomonosov Moscow State University, Leninskie Gory 1/62, Moscow 119991, Russia
| | - Andrey Yu. Sosorev
- Faculty of Physics and International Laser Center, Lomonosov Moscow State University, Leninskie Gory 1/62, Moscow 119991, Russia
- Institute of Spectroscopy of the Russian Academy of Sciences, Fizicheskaya Str., 5, Troitsk, Moscow 108840, Russia
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Binder R, Bonfanti M, Lauvergnat D, Burghardt I. First-principles description of intra-chain exciton migration in an oligo(para-phenylene vinylene) chain. I. Generalized Frenkel-Holstein Hamiltonian. J Chem Phys 2020; 152:204119. [PMID: 32486686 DOI: 10.1063/5.0004510] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
Abstract
A generalized Frenkel-Holstein Hamiltonian is constructed to describe exciton migration in oligo(para-phenylene vinylene) chains, based on excited state electronic structure data for an oligomer comprising 20 monomer units (OPV-20). Time-dependent density functional theory calculations using the ωB97XD hybrid functional are employed in conjunction with a transition density analysis to study the low-lying singlet excitations and demonstrate that these can be characterized to a good approximation as a Frenkel exciton manifold. Based on these findings, we employ the analytic mapping procedure of Binder et al. [J. Chem. Phys. 141, 014101 (2014)] to translate one-dimensional (1D) and two-dimensional (2D) potential energy surface (PES) scans to a fully anharmonic, generalized Frenkel-Holstein (FH) Hamiltonian. A 1D PES scan is carried out for intra-ring quinoid distortion modes, while 2D PES scans are performed for the anharmonically coupled inter-monomer torsional and vinylene bridge bond length alternation modes. The kinetic energy is constructed in curvilinear coordinates by an exact numerical procedure, using the TNUM Fortran code. As a result, a fully molecular-based, generalized FH Hamiltonian is obtained, which is subsequently employed for quantum exciton dynamics simulations, as shown in Paper II [R. Binder and I. Burghardt, J. Chem. Phys. 152, 204120 (2020)].
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Affiliation(s)
- Robert Binder
- Institute for Physical and Theoretical Chemistry, Goethe University, Max-von-Laue-Str. 7, 60438 Frankfurt/Main, Germany
| | - Matteo Bonfanti
- Institute for Physical and Theoretical Chemistry, Goethe University, Max-von-Laue-Str. 7, 60438 Frankfurt/Main, Germany
| | - David Lauvergnat
- Université Paris-Saclay, CNRS, Institut de Chimie Physique, UMR 8000, 91405 Orsay, France
| | - Irene Burghardt
- Institute for Physical and Theoretical Chemistry, Goethe University, Max-von-Laue-Str. 7, 60438 Frankfurt/Main, Germany
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Binder R, Burghardt I. First-principles description of intra-chain exciton migration in an oligo(para-phenylene vinylene) chain. II. ML-MCTDH simulations of exciton dynamics at a torsional defect. J Chem Phys 2020; 152:204120. [DOI: 10.1063/5.0004511] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023] Open
Affiliation(s)
- Robert Binder
- Institute for Physical and Theoretical Chemistry, Goethe University, Max-von-Laue-Str. 7, 60438 Frankfurt/Main, Germany
| | - Irene Burghardt
- Institute for Physical and Theoretical Chemistry, Goethe University, Max-von-Laue-Str. 7, 60438 Frankfurt/Main, Germany
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Voronin AP, Surov AO, Churakov AV, Parashchuk OD, Rykounov AA, Vener MV. Combined X-ray Crystallographic, IR/Raman Spectroscopic, and Periodic DFT Investigations of New Multicomponent Crystalline Forms of Anthelmintic Drugs: A Case Study of Carbendazim Maleate. Molecules 2020; 25:E2386. [PMID: 32455564 PMCID: PMC7287603 DOI: 10.3390/molecules25102386] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/06/2020] [Revised: 05/17/2020] [Accepted: 05/18/2020] [Indexed: 12/14/2022] Open
Abstract
Synthesis of multicomponent solid forms is an important method of modifying and fine-tuning the most critical physicochemical properties of drug compounds. The design of new multicomponent pharmaceutical materials requires reliable information about the supramolecular arrangement of molecules and detailed description of the intermolecular interactions in the crystal structure. It implies the use of a combination of different experimental and theoretical investigation methods. Organic salts present new challenges for those who develop theoretical approaches describing the structure, spectral properties, and lattice energy Elatt. These crystals consist of closed-shell organic ions interacting through relatively strong hydrogen bonds, which leads to Elatt > 200 kJ/mol. Some technical problems that a user of periodic (solid-state) density functional theory (DFT) programs encounters when calculating the properties of these crystals still remain unsolved, for example, the influence of cell parameter optimization on the Elatt value, wave numbers, relative intensity of Raman-active vibrations in the low-frequency region, etc. In this work, various properties of a new two-component carbendazim maleate crystal were experimentally investigated, and the applicability of different DFT functionals and empirical Grimme corrections to the description of the obtained structural and spectroscopic properties was tested. Based on this, practical recommendations were developed for further theoretical studies of multicomponent organic pharmaceutical crystals.
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Affiliation(s)
- Alexander P. Voronin
- Department of Physical Chemistry of Drugs, G.A. Krestov Institute of Solution Chemistry of RAS, 153045 Ivanovo, Russia; (A.P.V.); (A.O.S.)
| | - Artem O. Surov
- Department of Physical Chemistry of Drugs, G.A. Krestov Institute of Solution Chemistry of RAS, 153045 Ivanovo, Russia; (A.P.V.); (A.O.S.)
| | - Andrei V. Churakov
- Department of Crystal Chemistry and X-ray Diffraction, N.S. Kurnakov Institute of General and Inorganic Chemistry of RAS, 119991 Moscow, Russia;
| | - Olga D. Parashchuk
- Faculty of Physics, Lomonosov Moscow State University, 119991 Moscow, Russia;
| | - Alexey A. Rykounov
- Theoretical Department, FSUE “RFNC-VNIITF Named after Academ. E.I. Zababakhin”, 456770 Snezhinsk, Russia;
| | - Mikhail V. Vener
- Department of Quantum Chemistry, D. Mendeleev University of Chemical Technology, 125047 Moscow, Russia
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