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Brown M, Skelton JM, Popelier PLA. Application of the FFLUX Force Field to Molecular Crystals: A Study of Formamide. J Chem Theory Comput 2023; 19:7946-7959. [PMID: 37847867 PMCID: PMC10653110 DOI: 10.1021/acs.jctc.3c00578] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/30/2023] [Indexed: 10/19/2023]
Abstract
In this work, we present the first application of the quantum chemical topology force field FFLUX to the solid state. FFLUX utilizes Gaussian process regression machine learning models trained on data from the interacting quantum atom partitioning scheme to predict atomic energies and flexible multipole moments that change with geometry. Here, the ambient (α) and high-pressure (β) polymorphs of formamide are used as test systems and optimized using FFLUX. Optimizing the structures with increasing multipolar ranks indicates that the lattice parameters of the α phase differ by less than 5% to the experimental structure when multipole moments up to the quadrupole are used. These differences are found to be in line with the dispersion-corrected density functional theory. Lattice dynamics calculations are also found to be possible using FFLUX, yielding harmonic phonon spectra comparable to dispersion-corrected DFT while enabling larger supercells to be considered than is typically possible with first-principles calculations. These promising results indicate that FFLUX can be used to accurately determine properties of molecular solids that are difficult to access using DFT, including the structural dynamics, free energies, and properties at finite temperature.
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Affiliation(s)
- Matthew
L. Brown
- Department of Chemistry, The University of Manchester, Oxford Road, Manchester M13 9PL, Britain
| | - Jonathan M. Skelton
- Department of Chemistry, The University of Manchester, Oxford Road, Manchester M13 9PL, Britain
| | - Paul L. A. Popelier
- Department of Chemistry, The University of Manchester, Oxford Road, Manchester M13 9PL, Britain
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2
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Jensen F. Basis Set Extrapolation of Vibrational Frequencies. J Phys Chem A 2023; 127:2859-2863. [PMID: 36943253 DOI: 10.1021/acs.jpca.3c00064] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/23/2023]
Abstract
We investigate three different approaches for extrapolating harmonic vibrational frequencies to the complete basis set limit, by direct extrapolation of the frequencies, by calculation of frequencies based on extrapolated Hessians, or based on the Hessian from optimization of the extrapolated energy surface. For regular molecules, the three extrapolation procedures yield essentially identical results, but for loosely bound complexes, the frequencies derived from extrapolated Hessians yield unpredictable behavior. None of the basis set extrapolations, however, provide any significant improvement over the results upon which the extrapolation is based.
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Affiliation(s)
- Frank Jensen
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
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3
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Crișan G, Macea AM, Andrieș G, Chiș V. Experimental and computational Raman spectroscopies applied to 2-methoxy-2-methylpropylisonitrile (MIBI) ligand of the 99mTc-sestamibi radiopharmaceutical. J Mol Struct 2021. [DOI: 10.1016/j.molstruc.2021.131159] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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4
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Anharmonicity modeling in hydrogen bonded solvent dimers. J Mol Liq 2021. [DOI: 10.1016/j.molliq.2021.116735] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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5
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Shin HK. Inter- and Intramolecular Vibrational Energy Flow in a Formamide–Water Complex. J Phys Chem A 2020; 124:3031-3037. [PMID: 32227959 DOI: 10.1021/acs.jpca.0c00584] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023]
Affiliation(s)
- H. K. Shin
- Department of Chemistry, University of Nevada, Reno, Nevada 89557, United States
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6
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Boussessi R, Tasinato N, Pietropolli Charmet A, Stoppa P, Barone V. Sextic centrifugal distortion constants: interplay of density functional and basis set for accurate yet feasible computations. Mol Phys 2020. [DOI: 10.1080/00268976.2020.1734678] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
| | | | | | - Paolo Stoppa
- Università Ca’ Foscari Venezia, Dipartimento di Scienze Molecolari e Nanosistemi, Mestre Venezia, Italy
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7
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Yin C, Takahashi K. Effect of unsaturated substituents in the reaction of Criegee intermediates with water vapor. Phys Chem Chem Phys 2018; 20:20217-20227. [PMID: 30027942 DOI: 10.1039/c8cp02064g] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Criegee intermediates (CIs), formed in the reactions of unsaturated hydrocarbons with ozone, are very reactive carbonyl oxides and have recently been suggested as important oxidants in the atmosphere. In this work, we studied the substituent effect on the water monomer and dimer reaction with CIs which include up to three carbon atoms at the QCISD(T)/CBS//B3LYP/6-311+G(2d,2p) level. Our calculation showed that for saturated CIs with a hydrogen atom on the same side as the terminal oxygen atom, the reaction with water vapor would likely dominate the removal processes of these CIs in the atmosphere. On the other hand, for unsaturated CIs, the reactivity toward water vapor decreases compared to the saturated species allowing them to survive in humid atmospheric environments. We also evaluated the kinetic isotope effect in the reaction between CI and water vapor by performing calculations with deuterated water. We found that tunneling is not important and the kinetic isotope effect mainly comes from the difference in the zero point energy between water and deuterated water.
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Affiliation(s)
- Cangtao Yin
- Institute of Atomic and Molecular Sciences, Academia Sinica, PO-Box 23-166, Taipei, 10617, Taiwan.
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8
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Pietropolli Charmet A, Cornaton Y. Benchmarking fully analytic DFT force fields for vibrational spectroscopy: A study on halogenated compounds. J Mol Struct 2018. [DOI: 10.1016/j.molstruc.2018.01.089] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
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9
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Gajda Ł, Kupka T, Broda MA, Leszczyńska M, Ejsmont K. Method and basis set dependence of the NICS indexes of aromaticity for benzene. MAGNETIC RESONANCE IN CHEMISTRY : MRC 2018; 56:265-275. [PMID: 29211311 DOI: 10.1002/mrc.4690] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/24/2017] [Revised: 11/21/2017] [Accepted: 11/24/2017] [Indexed: 05/24/2023]
Abstract
The role of theory level in prediction of benzene magnetic indexes of aromaticity is analysed and compared with calculated nuclear magnetic shieldings of 3 He used as NMR probe. Three closely related nucleus-independent chemical shift (NICS) based indexes were calculated for benzene at SCF-HF, MP2, and DFT levels of theory and the impact of basis set on these quantities was studied. The changes of benzene NICS(0), NICS(1), and NICS(1)zz parameters calculated using SCF-HF, MP2 and several density functionals were within 1 to 3 ppm. Similar deviations between magnetic indexes of aromaticity were observed for values calculated with selected basis sets. Only very small effect of polar solvent on benzene aromaticity was predicted. The 3 He nuclear magnetic isotropic shielding (σ) and its zz-components (σzz ) of helium atom approaching the centre of benzene ring from above produced similar curves versus benzene-He distance to NICS parameters calculated for similarly moving Bq ghost atom. We also propose an experimental verification of NICS calculations by designing the 3 He NMR measurement for benzene saturated with helium gas or in low temperature matrices.
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Affiliation(s)
- Łukasz Gajda
- Faculty of Chemistry, University of Opole, 48, Oleska Street, 45-052, Opole, Poland
| | - Teobald Kupka
- Faculty of Chemistry, University of Opole, 48, Oleska Street, 45-052, Opole, Poland
| | - Małgorzata A Broda
- Faculty of Chemistry, University of Opole, 48, Oleska Street, 45-052, Opole, Poland
| | | | - Krzysztof Ejsmont
- Faculty of Chemistry, University of Opole, 48, Oleska Street, 45-052, Opole, Poland
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10
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Krivdin LB. Calculation of 15N NMR chemical shifts: Recent advances and perspectives. PROGRESS IN NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY 2017; 102-103:98-119. [PMID: 29157495 DOI: 10.1016/j.pnmrs.2017.08.001] [Citation(s) in RCA: 28] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/20/2017] [Revised: 08/21/2017] [Accepted: 08/21/2017] [Indexed: 06/07/2023]
Abstract
Recent advances in computation of 15N NMR chemical shifts are reviewed, concentrating mainly on practical aspects of computational protocols and accuracy factors. The review includes the discussion of the level of theory, the choice of density functionals and basis sets together with taking into account solvent effects, rovibrational corrections and relativistic effects. Computational aspects of 15N NMR are illustrated for the series of neutral and protonated open-chain nitrogen-containing compounds and nitrogen heterocycles, coordination and intermolecular complexes.
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Affiliation(s)
- Leonid B Krivdin
- A. E. Favorsky Irkutsk Institute of Chemistry, Siberian Branch of the Russian Academy of Sciences, Favorsky St. 1, 664033 Irkutsk, Russia.
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Kupka T, Buczek A, Broda MA, Stachów M, Tarnowski P. DFT studies on the structural and vibrational properties of polyenes. J Mol Model 2016; 22:101. [PMID: 27048200 PMCID: PMC4821862 DOI: 10.1007/s00894-016-2969-1] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/22/2015] [Accepted: 03/16/2016] [Indexed: 11/29/2022]
Abstract
Detailed density functional theory (DFT) calculations on the structure and harmonic frequencies of model all-trans and all-cis polyenes were undertaken. For the first time, we report on the convergence of selected B3LYP/6-311++G** and BLYP/6-311++G** calculated structural parameters resulting from a systematic increase in polyene size (chains containing 2 to 14 C = C units). The limiting values of the structural parameters for very long chains were estimated using simple three-parameter empirical formulae. BLYP/6-311++G** calculated ν(C = C) and ν(C-C) frequencies for all-trans and all-cis polyenes containing up to 14 carbon-carbon double bonds were used to estimate these values for very long chains. Correction of raw, unscaled vibrational data was performed by comparing theoretical and experimental wavenumbers for polyenes chains containing 3 to 12 conjugated C = C units with both ends substituted by tert-butyl groups. The corrected ν(C = C) and ν(C-C) wavenumbers for all-trans molecules were used to estimate the presence of 9 - 12 C = C units in all-trans polyene pigment in red coral.
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Affiliation(s)
- Teobald Kupka
- Faculty of Chemistry, University of Opole, 48 Oleska Street, 45-052, Opole, Poland.
| | - Aneta Buczek
- Faculty of Chemistry, University of Opole, 48 Oleska Street, 45-052, Opole, Poland.
| | - Małgorzata A Broda
- Faculty of Chemistry, University of Opole, 48 Oleska Street, 45-052, Opole, Poland
| | - Michał Stachów
- Faculty of Chemistry, University of Opole, 48 Oleska Street, 45-052, Opole, Poland
| | - Przemysław Tarnowski
- Faculty of Chemistry, University of Opole, 48 Oleska Street, 45-052, Opole, Poland
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12
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13
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Buczek A, Kupka T, Broda MA, Żyła A. Predicting the structure and vibrational frequencies of ethylene using harmonic and anharmonic approaches at the Kohn-Sham complete basis set limit. J Mol Model 2016; 22:42. [PMID: 26800989 PMCID: PMC4723629 DOI: 10.1007/s00894-015-2902-z] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/24/2015] [Accepted: 12/22/2015] [Indexed: 11/25/2022]
Abstract
In this work, regular convergence patterns of the structural, harmonic, and VPT2-calculated anharmonic vibrational parameters of ethylene towards the Kohn–Sham complete basis set (KS CBS) limit are demonstrated for the first time. The performance of the VPT2 scheme implemented using density functional theory (DFT-BLYP and DFT-B3LYP) in combination with two Pople basis sets (6-311++G** and 6-311++G(3df,2pd)), the polarization-consistent basis sets pc-n, aug-pc-n, and pcseg-n (n = 0, 1, 2, 3, 4), and the correlation-consistent basis sets cc-pVXZ and aug-cc-pVXZ (X = D, T, Q, 5, 6) was tested. The BLYP-calculated harmonic frequencies were found to be markedly closer than the B3LYP-calculated harmonic frequencies to the experimentally derived values, while the calculated anharmonic frequencies consistently underestimated the observed wavenumbers. The different basis set families gave very similar estimated values for the CBS parameters. The anharmonic frequencies calculated with B3LYP/aug-pc-3 were consistently significantly higher than those obtained with the pc-3 basis set; applying the aug-pcseg-n basis set family alleviated this problem. Utilization of B3LYP/aug-pcseg-n basis sets instead of B3LYP/aug-cc-pVXZ, which is computationally less expensive, is suggested for medium-sized molecules. Harmonic BLYP/pc-2 calculations produced fairly accurate ethylene frequencies. In this study, the performance of the VPT2 scheme implemented using density functional theory (DFT-BLYP and DFT-B3LYP) in combination with the polarization-consistent basis sets pc-n, aug-pc-n, and pcseg-n (n = 0, 1, 2, 3, 4), and the correlation-consistent basis sets cc-pVXZ and aug-cc-pVXZ (X = D, T, Q, 5, and 6) was tested. For the first time, we demonstrated regular convergence patterns of the structural, harmonic, and VPT2-calculated anharmonic vibrational parameters of ethylene towards the Kohn–Sham complete basis set (KS CBS) limit ![]()
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Affiliation(s)
- Aneta Buczek
- Faculty of Chemistry, University of Opole, 48, Oleska Street, 45-052, Opole, Poland.
| | - Teobald Kupka
- Faculty of Chemistry, University of Opole, 48, Oleska Street, 45-052, Opole, Poland.
| | - Małgorzata A Broda
- Faculty of Chemistry, University of Opole, 48, Oleska Street, 45-052, Opole, Poland
| | - Adriana Żyła
- Faculty of Chemistry, University of Opole, 48, Oleska Street, 45-052, Opole, Poland.,Department of Biosystematics, University of Opole, Oleska 22, 45-052, Opole, Poland.,Institute of Physics, Adam Mickiewicz University in Poznan, 65, Umultowska Street, 61-614, Poznań, Poland
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14
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Theoretical prediction of structural, vibrational and NMR parameters of plastic optical fiber (POF) material precursors. Cis and trans perhydro- and perfluoro-2-methylene-4,5-dimethyl-1,3-dioxolanes. J Mol Graph Model 2014; 52:36-45. [DOI: 10.1016/j.jmgm.2014.06.004] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/28/2014] [Revised: 05/14/2014] [Accepted: 06/17/2014] [Indexed: 11/18/2022]
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15
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Computational Vibrational Spectroscopy of glycine in aqueous solution – Fundamental considerations towards feasible methodologies. Chem Phys 2014. [DOI: 10.1016/j.chemphys.2014.03.003] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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16
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Nozirov F, Kupka T, Stachów M. Theoretical prediction of nuclear magnetic shieldings and indirect spin-spin coupling constants in 1,1-, cis-, and trans-1,2-difluoroethylenes. J Chem Phys 2014; 140:144303. [DOI: 10.1063/1.4870396] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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17
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Ferus M, Civiš S, Mládek A, Šponer J, Juha L, Šponer JE. On the Road from Formamide Ices to Nucleobases: IR-Spectroscopic Observation of a Direct Reaction between Cyano Radicals and Formamide in a High-Energy Impact Event. J Am Chem Soc 2012. [DOI: 10.1021/ja310421z] [Citation(s) in RCA: 53] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Martin Ferus
- J. Heyrovský Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, Dolejškova 3, CZ-182 23 Prague 8, Czech Republic
- Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, CZ-182 21 Prague 8, Czech Republic
| | - Svatopluk Civiš
- J. Heyrovský Institute of Physical Chemistry, Academy of Sciences of the Czech Republic, Dolejškova 3, CZ-182 23 Prague 8, Czech Republic
| | - Arnošt Mládek
- Institute of Biophysics, Academy of Sciences of the Czech Republic, Královopolská 135, CZ-612 65 Brno, Czech Republic
- CEITEC-Central European Institute of Technology, Campus Bohunice, Kamenice 5, CZ-62500 Brno, Czech Republic
| | - Jiří Šponer
- Institute of Biophysics, Academy of Sciences of the Czech Republic, Královopolská 135, CZ-612 65 Brno, Czech Republic
- CEITEC-Central European Institute of Technology, Campus Bohunice, Kamenice 5, CZ-62500 Brno, Czech Republic
| | - Libor Juha
- Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, CZ-182 21 Prague 8, Czech Republic
| | - Judit E. Šponer
- Institute of Biophysics, Academy of Sciences of the Czech Republic, Královopolská 135, CZ-612 65 Brno, Czech Republic
- CEITEC-Central European Institute of Technology, Campus Bohunice, Kamenice 5, CZ-62500 Brno, Czech Republic
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Campos CT, Jorge FE, Alves JMA. XZP + 1d and XZP + 1d-DKH basis sets for second-row elements: application to CCSD(T) zero-point vibrational energy and atomization energy calculations. J Mol Model 2012; 18:4081-8. [DOI: 10.1007/s00894-012-1409-0] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/20/2012] [Accepted: 03/19/2012] [Indexed: 11/24/2022]
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19
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Estimating the carbonyl anharmonic vibrational frequency from affordable harmonic frequency calculations. J Mol Model 2011; 18:2471-8. [PMID: 22015591 DOI: 10.1007/s00894-011-1262-6] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/08/2011] [Accepted: 09/27/2011] [Indexed: 10/16/2022]
Abstract
A linear correlation between harmonic and anharmonic frequencies of water calculated at B3LYP level of theory was observed with a number of basis sets. Similar relationships were found in both the gas phase and solution for several small molecules. The best correlation was found for C = O stretch mode in formaldehyde, formamide and N-methylacetamide. The average difference between B3LYP harmonic and anharmonic ν(C = O) frequencies calculated with several basis sets in these molecules was 30 cm(-1). The ad hoc correction of -30 cm(-1), added to harmonic frequencies of two different carbonyl groups present in a structure of a larger molecule was tested as a fast way of predicting anharmonic frequencies without elaborated calculations. The proposed approach was tested successfully on a larger molecule of E and Z isomers of N-acetyl-α,β-dehydrophenylalanine N',N'-dimethylamide [Ac-(E/Z)-ΔPhe-NMe(2)] and the estimated anharmonic ν(C = O) frequencies were close to directly calculated results.
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