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Effective Dipole Moment Model for Axially Symmetric C(3v) Molecules: Application to the Precise Study of Absolute Line Strengths of the ν(6) Fundamental of CH(3)(35)Cl

The effective dipole moment model for molecules of axial C [Formula: see text] symmetry is derived on the basis of the symmetry properties of a molecule which, on the one hand, is of the same order of efficiency (but much simpler and clearer in applications) as the analogous models derived on the ba...

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Autores principales: Ulenikov, Oleg, Bekhtereva, Elena, Gromova, Olga, Fomchenko, Anna, Morzhikova, Yulia, Sidko, Sergei, Sydow, Christian, Bauerecker, Sigurd
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10418978/
https://www.ncbi.nlm.nih.gov/pubmed/37569499
http://dx.doi.org/10.3390/ijms241512122
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author Ulenikov, Oleg
Bekhtereva, Elena
Gromova, Olga
Fomchenko, Anna
Morzhikova, Yulia
Sidko, Sergei
Sydow, Christian
Bauerecker, Sigurd
author_facet Ulenikov, Oleg
Bekhtereva, Elena
Gromova, Olga
Fomchenko, Anna
Morzhikova, Yulia
Sidko, Sergei
Sydow, Christian
Bauerecker, Sigurd
author_sort Ulenikov, Oleg
collection PubMed
description The effective dipole moment model for molecules of axial C [Formula: see text] symmetry is derived on the basis of the symmetry properties of a molecule which, on the one hand, is of the same order of efficiency (but much simpler and clearer in applications) as the analogous models derived on the basis of the irreducible tensorial sets theory, and, on the other hand, mathematically more correct in comparison with concepts like the Herman–Walles function used in the models. As an application of the general results obtained, we discuss high-resolution infrared spectra of CH [Formula: see text] Cl, recorded with the Zürich prototype ZP2001 (Bruker IFS125 HR) Fourier transform infrared spectrometer at a resolution of 0.001 cm [Formula: see text] and analyzed in the region of 880–1190 cm [Formula: see text] ([Formula: see text] bending fundamental centered at [Formula: see text] = 1018.070790 cm [Formula: see text]). Absolute strengths of more than 2800 transitions (2081 lines) were obtained from the fit of their shapes both with Voigt and Hartmann–Tran profiles, and parameters of the effective dipole moment of the [Formula: see text] band were determined by the computer code SYMTOMLIST (SYMmetric TOp Molecules: LIne STrengths), created on the basis of a derived theoretical model. As the first step of the analysis of the experimental data, assignments of the recorded lines were made. A total of 5124 transitions with [Formula: see text] = 68, [Formula: see text] = 21 were assigned to the [Formula: see text] band. The weighted fit of 2077 upper energy values obtained from the experimentally recorded transitions was made with a Hamiltonian which takes into account different types of ro–vibrational effects in doubly degenerate vibrational states of the [Formula: see text]-symmetric molecule. As the result, a set of 25 fitted parameters was obtained which reproduces the initial 2077 upper “experimental” ro–vibrational energy values with a root mean square deviation [Formula: see text] cm [Formula: see text]. At the second step of the analysis, the computer code SYMTOMLIST was used for determination of the parameters of the derived effective dipole moment model. Six effective dipole moment parameters were obtained from the weighted fit procedure which reproduces absolute experimental strengths of the 2804 initial experimental transitions with a relative [Formula: see text].
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spelling pubmed-104189782023-08-12 Effective Dipole Moment Model for Axially Symmetric C(3v) Molecules: Application to the Precise Study of Absolute Line Strengths of the ν(6) Fundamental of CH(3)(35)Cl Ulenikov, Oleg Bekhtereva, Elena Gromova, Olga Fomchenko, Anna Morzhikova, Yulia Sidko, Sergei Sydow, Christian Bauerecker, Sigurd Int J Mol Sci Article The effective dipole moment model for molecules of axial C [Formula: see text] symmetry is derived on the basis of the symmetry properties of a molecule which, on the one hand, is of the same order of efficiency (but much simpler and clearer in applications) as the analogous models derived on the basis of the irreducible tensorial sets theory, and, on the other hand, mathematically more correct in comparison with concepts like the Herman–Walles function used in the models. As an application of the general results obtained, we discuss high-resolution infrared spectra of CH [Formula: see text] Cl, recorded with the Zürich prototype ZP2001 (Bruker IFS125 HR) Fourier transform infrared spectrometer at a resolution of 0.001 cm [Formula: see text] and analyzed in the region of 880–1190 cm [Formula: see text] ([Formula: see text] bending fundamental centered at [Formula: see text] = 1018.070790 cm [Formula: see text]). Absolute strengths of more than 2800 transitions (2081 lines) were obtained from the fit of their shapes both with Voigt and Hartmann–Tran profiles, and parameters of the effective dipole moment of the [Formula: see text] band were determined by the computer code SYMTOMLIST (SYMmetric TOp Molecules: LIne STrengths), created on the basis of a derived theoretical model. As the first step of the analysis of the experimental data, assignments of the recorded lines were made. A total of 5124 transitions with [Formula: see text] = 68, [Formula: see text] = 21 were assigned to the [Formula: see text] band. The weighted fit of 2077 upper energy values obtained from the experimentally recorded transitions was made with a Hamiltonian which takes into account different types of ro–vibrational effects in doubly degenerate vibrational states of the [Formula: see text]-symmetric molecule. As the result, a set of 25 fitted parameters was obtained which reproduces the initial 2077 upper “experimental” ro–vibrational energy values with a root mean square deviation [Formula: see text] cm [Formula: see text]. At the second step of the analysis, the computer code SYMTOMLIST was used for determination of the parameters of the derived effective dipole moment model. Six effective dipole moment parameters were obtained from the weighted fit procedure which reproduces absolute experimental strengths of the 2804 initial experimental transitions with a relative [Formula: see text]. MDPI 2023-07-28 /pmc/articles/PMC10418978/ /pubmed/37569499 http://dx.doi.org/10.3390/ijms241512122 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Ulenikov, Oleg
Bekhtereva, Elena
Gromova, Olga
Fomchenko, Anna
Morzhikova, Yulia
Sidko, Sergei
Sydow, Christian
Bauerecker, Sigurd
Effective Dipole Moment Model for Axially Symmetric C(3v) Molecules: Application to the Precise Study of Absolute Line Strengths of the ν(6) Fundamental of CH(3)(35)Cl
title Effective Dipole Moment Model for Axially Symmetric C(3v) Molecules: Application to the Precise Study of Absolute Line Strengths of the ν(6) Fundamental of CH(3)(35)Cl
title_full Effective Dipole Moment Model for Axially Symmetric C(3v) Molecules: Application to the Precise Study of Absolute Line Strengths of the ν(6) Fundamental of CH(3)(35)Cl
title_fullStr Effective Dipole Moment Model for Axially Symmetric C(3v) Molecules: Application to the Precise Study of Absolute Line Strengths of the ν(6) Fundamental of CH(3)(35)Cl
title_full_unstemmed Effective Dipole Moment Model for Axially Symmetric C(3v) Molecules: Application to the Precise Study of Absolute Line Strengths of the ν(6) Fundamental of CH(3)(35)Cl
title_short Effective Dipole Moment Model for Axially Symmetric C(3v) Molecules: Application to the Precise Study of Absolute Line Strengths of the ν(6) Fundamental of CH(3)(35)Cl
title_sort effective dipole moment model for axially symmetric c(3v) molecules: application to the precise study of absolute line strengths of the ν(6) fundamental of ch(3)(35)cl
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10418978/
https://www.ncbi.nlm.nih.gov/pubmed/37569499
http://dx.doi.org/10.3390/ijms241512122
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