Kert Gibson , Brayden Carty , Galen Sedo , Joshua E. Isert , William H. Rice IV , Garry S. Grubbs II
{"title":"The microwave spectrum of the sesamol (1,3-benzodioxol-5-ol) monomer and an analysis of its internal motion","authors":"Kert Gibson , Brayden Carty , Galen Sedo , Joshua E. Isert , William H. Rice IV , Garry S. Grubbs II","doi":"10.1016/j.jms.2023.111838","DOIUrl":"https://doi.org/10.1016/j.jms.2023.111838","url":null,"abstract":"<div><p>The microwave spectrum of the sesamol (CH<sub>2</sub>O<sub>2</sub>C<sub>6</sub>H<sub>3</sub>OH) monomer has been collected using CP-FTMW spectroscopy in the 5.5–18.75 GHz region of the electromagnetic spectrum. Density functional theory calculations of the monomer have been performed. B3LYP|cc-pVTZ predicts the global minimum geometry to be <em>s-trans-</em>sesamol where the hydroxyl group is oriented <span><math><mrow><mspace></mspace><msup><mn>180</mn><mo>°</mo></msup></mrow></math></span> away from the dioxole ring. A second, local minimum, geometry for <em>s-cis-</em>sesamol was calculated to have the hydroxyl group oriented <span><math><mrow><mspace></mspace><msup><mn>0</mn><mo>°</mo></msup></mrow></math></span> towards the dioxole ring, and the zero-point energy difference between the two geometries is predicted to be 1.4 kJ/mol. Both unique conformers have been identified in the experimental spectrum. In accordance with the predicted dipole moments, only <em>b-</em>type transitions have been observed for <em>s-trans</em>-sesamol, while <em>a-</em> and <em>b-</em>type transitions have been assigned to <em>s-cis-</em>sesamol. The relative intensities in the observed spectrum indicate that the molecular beam contains a higher population of the <em>s-trans</em>-sesamol monomer. Satellite transitions were observed for both sesamol conformers. Treating the parent and satellite transitions as coupled vibrational states, the energy differences and Coriolis coupling constants were determined for each conformer. The magnitude of the coupling constants, the energy difference between the states, and a comparison to a similar state observed in 1,3-benzodioxole indicate that the excited states correspond with CH<sub>2</sub> puckering of the dioxiole ring. The second moments of inertia and their contributions from the ring puckering have been analyzed for a series of functionalized molecules including piperonal, 1,3-benzodioxole and sesamol.</p></div>","PeriodicalId":16367,"journal":{"name":"Journal of Molecular Spectroscopy","volume":"397 ","pages":"Article 111838"},"PeriodicalIF":1.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49758630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Unveiling the force of weak effects in molecular absorption","authors":"Konstantin V. Kazakov , Andrey A. Vigasin","doi":"10.1016/j.jms.2023.111841","DOIUrl":"https://doi.org/10.1016/j.jms.2023.111841","url":null,"abstract":"<div><p>This work aims at theoretical consideration of weak effects, some of which are well-known in molecular spectroscopy<span>, and some are not yet fully elaborated. A cohesive element of our consideration consists in the use of the original perturbative approach<span>, which significantly facilitates the derivation of the sought expressions and their employment for applications. We consider several examples of perturbative problems concerning permitted or forbidden electric dipole and permitted magnetic-dipole transitions. The suggested approach can be generalized to other effects involving electronic, spin, and higher-order perturbations in molecular spectra.</span></span></p></div>","PeriodicalId":16367,"journal":{"name":"Journal of Molecular Spectroscopy","volume":"397 ","pages":"Article 111841"},"PeriodicalIF":1.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49748702","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Alitza Gracia , Jingling Hong , Rebakah Arismendi , Mingfei Zhou , Weixing Li , Wei Lin
{"title":"Conformational landscapes of symmetrically fluorine-substituted benzoic acids I: Microwave spectroscopic and theoretical studies on 3,5-difluorobenzoic acid","authors":"Alitza Gracia , Jingling Hong , Rebakah Arismendi , Mingfei Zhou , Weixing Li , Wei Lin","doi":"10.1016/j.jms.2023.111839","DOIUrl":"https://doi.org/10.1016/j.jms.2023.111839","url":null,"abstract":"<div><p>We report our combined theoretical and spectroscopic studies on 3,5-difluorobenzoic acid. Using a chirped pulse Fourier transform microwave (CP-FTMW) spectrometer, we recorded and analyzed the rotational spectrum spanning the frequency range of 6 – 12.5 GHz. Quantum chemical calculations were employed to analyze the conformational changes and landscapes of 3,5-difluorobenzoic acid. These calculations focused on studying the potential energy surfaces along the C<img>C<img>C<img>O and O<img>C<img>O<img>H dihedral angles at the B3LYP/6-311G level. Based on the computational results, we identified the global minimum conformer 1 as well as the local minimum conformer 2. We discussed and interpreted the geometric structures of the relevant conformations, with a particular emphasis on the interactions between the carboxylic group and the substituted fluorine atoms. Furthermore, these findings were compared to benzoic acid in internal strains. In our spectral analysis, we successfully identified conformer 1 and its seven <sup>13</sup>C singly substituted isotopologues. We derived highly accurate rotational constants for 3,5-difluorobenzoic acid, displaying good agreement with computational results. We established the effective structure of its ground vibrational state using Kraitchman’s equations. Similar to benzoic acid, the global minimum conformation of 3,5-difluorobenzoic acid adopts a planar structure, corroborating our computational outcomes.</p></div>","PeriodicalId":16367,"journal":{"name":"Journal of Molecular Spectroscopy","volume":"397 ","pages":"Article 111839"},"PeriodicalIF":1.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49758887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Gábor Ecseri , Irén Simkó , Tibor Furtenbacher , Balázs Rácsai , Luciano Fusina , Gianfranco Di Lonardo , Kirk A. Peterson , Attila G. Császár
{"title":"Joint survey of the experimental high-resolution spectra of H16O37Cl and H16O35Cl with a reanalysis of the 2ν2 band","authors":"Gábor Ecseri , Irén Simkó , Tibor Furtenbacher , Balázs Rácsai , Luciano Fusina , Gianfranco Di Lonardo , Kirk A. Peterson , Attila G. Császár","doi":"10.1016/j.jms.2023.111834","DOIUrl":"https://doi.org/10.1016/j.jms.2023.111834","url":null,"abstract":"<div><p>The study starts with a detailed analysis of all the high-resolution rovibrational transitions measured for the minor hypochlorous acid isotopologue H<sup>16</sup>O<sup>37</sup>Cl, employing the <span>Marvel</span> (Measured Active Rotational-Vibrational Energy Levels) procedure. The survey considers 16 sources, the wavenumber coverage of the transitions extends from the microwave to the visible region, corresponding to 13 vibrational parent states. Experimental transitions data from older (1994, 1996, and 2000) sources, not published explicitly in the original papers, are presented in here for the first time; the newly reported transitions represent about one third of all the transitions assigned for H<sup>16</sup>O<sup>37</sup>Cl. Then a minor update to the transitions and levels of H<sup>16</sup>O<sup>35</sup>Cl published in J. Mol. Spectrosc. 384 (2022) 111561 is provided. Proper labelling and internal consistency of the transitions and the empirical rovibrational energies of H<sup>16</sup>O<sup>35</sup>Cl and H<sup>16</sup>O<sup>37</sup>Cl is enforced utilizing effective Hamiltonian (EH) and first-principles variational nuclear-motion computation results. An iteratively updated line list, based on empirical and EH rovibrational energy levels and first-principles intensities, is used to assign a significant number of new transitions in the <span><math><mrow><mn>2</mn><msub><mrow><mi>ν</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></math></span> band (2300–2800 cm<sup>−1</sup>) for both isotopologues. At the end, for H<sup>16</sup>O<sup>35</sup>Cl/H<sup>16</sup>O<sup>37</sup>Cl, from the total of 20<!--> <!-->349/10<!--> <!-->266 experimentally measured transitions considered, 20<!--> <!-->119/10<!--> <!-->124 could be validated, allowing the derivation of 5760/3933 empirical rovibrational energy levels with well-defined uncertainties. Improved parameters for an effective Hamiltonian corresponding to the <span><math><mrow><mn>2</mn><msub><mrow><mi>ν</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></math></span> state are given. A comparison with data in the canonical spectroscopic line-by-line database HITRAN is also provided.</p></div>","PeriodicalId":16367,"journal":{"name":"Journal of Molecular Spectroscopy","volume":"397 ","pages":"Article 111834"},"PeriodicalIF":1.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49764992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Susanna L. Stephens , Eléonore Antonelli , Alexander B. Seys , Ha Vinh Lam Nguyen , Stewart E. Novick , S.A. Cooke , Thomas A. Blake
{"title":"The microwave spectra of the conformers of n-butyl nitrate","authors":"Susanna L. Stephens , Eléonore Antonelli , Alexander B. Seys , Ha Vinh Lam Nguyen , Stewart E. Novick , S.A. Cooke , Thomas A. Blake","doi":"10.1016/j.jms.2023.111824","DOIUrl":"10.1016/j.jms.2023.111824","url":null,"abstract":"<div><p>The microwave spectrum of <em>n</em>-butyl nitrate was recorded in the 5 to 20 GHz frequency range using broadband chirp and narrowband pulse excitation molecular jet Fourier transform microwave spectrometers. A quantum chemistry structural analysis yielded thirteen stable conformers. Among them, the five most energetically stable conformers were observed in the experimental spectra. The most stable conformer features a butyl chain with an <em>anti</em>-<em>gauche</em>-<em>anti</em> conformation (<em>AGA</em>) where the γ-carbon atom is about 64° out of the nitrate plane. For this conformer, spectra of all <sup>13</sup>C and <sup>15</sup>N minor isotopologues could be measured. The conformer with a straight butyl chain (<em>AAA</em>), and three other conformers (<em>GAA</em>, <em>GGA</em>, and <em>AGG</em>) were also observed. Accurate rotational constants, centrifugal distortion constants, and <sup>14</sup>N nuclear quadrupole coupling constants could be deduced and compared to the theoretical values.</p></div>","PeriodicalId":16367,"journal":{"name":"Journal of Molecular Spectroscopy","volume":"397 ","pages":"Article 111824"},"PeriodicalIF":1.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49544726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Muhammad Osama Ishtiak , Orfeo Colebatch , Karine Le Bris , Paul J. Godin , Kimberly Strong
{"title":"Measurements of perfluoro-n-hexane and perfluoro-2-methylpentane infrared absorption cross-sections from 298 to 350 K","authors":"Muhammad Osama Ishtiak , Orfeo Colebatch , Karine Le Bris , Paul J. Godin , Kimberly Strong","doi":"10.1016/j.jms.2023.111835","DOIUrl":"https://doi.org/10.1016/j.jms.2023.111835","url":null,"abstract":"<div><p>Perfluoro-n-hexane and perfluoro-2-methylpentane are fully fluorinated alkanes used as non-ozone-depleting alternatives to chlorofluorocarbons and hydrochlorofluorocarbons. These compounds are long-lived and potent greenhouse gases due to their strong C<img>F bonds and infrared absorption in the atmospheric window. Infrared absorption cross-sections are required to quantify the climate impact of these compounds via the radiative efficiency and global warming potential. To our knowledge, there are only two experimental measurements for perfluoro-n-hexane, and there are no experimental measurements for perfluoro-2-methylpentane in the infrared. In this work, we provide a set of absorption cross-sections in the range 515–1500 cm<sup>−1</sup>, at 0.1 cm<sup>−1</sup> resolution from 298 to 350 K for each compound. We calculate the absorption cross-section between 0 and 515 cm<sup>−1</sup> using density functional theory with various basis sets. The 6-31,G(d,p) basis set with the B3LYP functional is found to provide the best results. Using both measurements and calculations combined, we calculate the radiative efficiency and global warming potential for each compound. No significant temperature dependence was observed in these quantities. The average radiative efficiency derived from all cross-sections is 0.48 ± 0.06 W m<sup>−2</sup> ppbv<sup>−1</sup> for perfluoro-n-hexane and 0.46 ± 0.06 W m<sup>−2</sup> ppbv<sup>−1</sup> for perfluoro-2-methylpentane. The average 100-year global warming potential derived from all cross-sections is 9590 ± 1260 for perfluoro-n-hexane and 9220 ± 1210 for perfluoro-2-methylpentane.</p></div>","PeriodicalId":16367,"journal":{"name":"Journal of Molecular Spectroscopy","volume":"397 ","pages":"Article 111835"},"PeriodicalIF":1.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49748075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jingling Hong , Alitza Gracia , Savannah Romero , Mingfei Zhou , Wei Lin , Weixing Li
{"title":"Conformational landscapes of symmetrically fluorine-substituted benzoic acids II: Calculations and measurements for the rotational spectrum and structure of 3,4,5-trifluorobenzoic acid","authors":"Jingling Hong , Alitza Gracia , Savannah Romero , Mingfei Zhou , Wei Lin , Weixing Li","doi":"10.1016/j.jms.2023.111837","DOIUrl":"https://doi.org/10.1016/j.jms.2023.111837","url":null,"abstract":"<div><p>Calculations on the structure of 3,4,5-trifluorobenzoic acid were made using the Gaussian 16 program. The potential energy surfaces were scanned along C<img>C<img>C<img>O and O<img>C<img>O<img>H dihedral angles at the B3LYP/6-311G level to analyze its conformational landscape. Two conformations were identified and reoptimized at the B3LYP/aug-cc-pVTZ level. The result indicates that 3,4,5-trifluorobenzoic acid prefers a planar structure in its global minimum conformation. The pure rotational spectra of 3,4,5-trifluorobenzoic acid were measured in the frequency range of 6 – 12.5 GHz using a chirped pulse Fourier transform microwave (CP-FTMW) spectrometer. The spectra of the parent, seven <sup>13</sup>C, and one deuterium singly substituted isotopologues were analyzed and fitted to measurement accuracy for a semi-rigid asymmetric top molecule. The rotational constants and centrifugal distortion constants were accurately determined. The rotational constants for the parent isotopologue are <em>A</em> = 1535.31408(32) MHz, <em>B</em> = 650.31751(16) MHz, and <em>C</em> = 456.98499(12) MHz. The effective structure of its ground vibrational state was determined from the spectra of the mono-substituted isotopologues. The agreement between the calculated and experimental spectroscopic constants is excellent.</p></div>","PeriodicalId":16367,"journal":{"name":"Journal of Molecular Spectroscopy","volume":"397 ","pages":"Article 111837"},"PeriodicalIF":1.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49758625","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nathan Love , Aaron J. Reynolds , Michael A. Dvorak , Kenneth R. Leopold
{"title":"Conformational analysis of carboxylic acid anhydrides: A microwave and computational study","authors":"Nathan Love , Aaron J. Reynolds , Michael A. Dvorak , Kenneth R. Leopold","doi":"10.1016/j.jms.2023.111844","DOIUrl":"https://doi.org/10.1016/j.jms.2023.111844","url":null,"abstract":"<div><p>The microwave spectra of four carboxylic acid anhydrides, RCOOCOR′, (R,R′) = (CH<sub>3</sub>,<!--> <!-->CF<sub>3</sub>), (C(CH<sub>3</sub>)<sub>3</sub>,<!--> <!-->CF<sub>3</sub>), (C<sub>6</sub>H<sub>5</sub>, CF<sub>3</sub>) and (CH<sub>3</sub>, C(CH<sub>3</sub>)<sub>3</sub>), have been observed in a supersonic jet. Calculations at the M06-2X/6-311++G(d,p) and MP2/6-311++G(d,p) levels of theory predict the lowest energy conformations for all four species to be nonplanar <em>cis</em> structures, i.e., conformations in which the C=O groups point in approximately the same direction, but are twisted out of a coplanar orientation. The observed spectra are consistent with these predictions. In addition, for all but the (R,R′) = (CH<sub>3</sub>, C(CH<sub>3</sub>)<sub>3</sub>) species, higher energy nonplanar <em>trans</em> conformers are also predicted, typically within 1–2 kcal/mole the nonplanar <em>cis</em> form. For (R,<!--> <!-->R′)<!--> <!-->= (C(CH<sub>3</sub>)<sub>3</sub>, CF<sub>3</sub>), extensive isotopic substitution has enabled a determination of most of the (non-fluorine) heavy atom structural parameters. Excellent agreement with the DFT and MP2 structures was obtained, thus validating the theoretical methods used. A strong correlation is found between the calculated O=C⋯C=O dihedral angle and the average of the vapor phase C=O stretching frequencies of RCOOH and R′COOH.</p></div>","PeriodicalId":16367,"journal":{"name":"Journal of Molecular Spectroscopy","volume":"397 ","pages":"Article 111844"},"PeriodicalIF":1.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49748845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
German Yu. Golubiatnikov , Oleg L. Polyansky , Nikolai F. Zobov , Jonathan Tennyson , Roman I. Ovsyannikov , Mikhail Yu. Tretyakov
{"title":"H2O-HF dimer rotational spectra: New measurements and re-analysis","authors":"German Yu. Golubiatnikov , Oleg L. Polyansky , Nikolai F. Zobov , Jonathan Tennyson , Roman I. Ovsyannikov , Mikhail Yu. Tretyakov","doi":"10.1016/j.jms.2023.111836","DOIUrl":"https://doi.org/10.1016/j.jms.2023.111836","url":null,"abstract":"<div><p>New measurements of the H<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span><span>O-HF dimer high resolution absorption spectrum are performed using a relatively warm (240–260 K) equilibrium gas mixture with two complementary spectrometers: a video spectrometer and spectrometer with radio-acoustic detection. Positions of over hundred H</span><span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span><span>O-HF lines in the 158–345 GHz range are refined (their uncertainty is reduced by about order of magnitude) and several tens of lines are newly measured. These data are re-fitted together with previous measurements giving a refined set of constants of effective Hamiltonian which characterizes the dimer intermolecular dynamics. The new data improves significantly (from 100 to about 10 kHz) the accuracy of rotational constants corresponding to separate series of lines with fixed </span><span><math><msub><mrow><mi>K</mi></mrow><mrow><mi>a</mi></mrow></msub></math></span>.</p></div>","PeriodicalId":16367,"journal":{"name":"Journal of Molecular Spectroscopy","volume":"397 ","pages":"Article 111836"},"PeriodicalIF":1.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49748719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Effective Hamiltonians for calculation of rotational energy levels and relative intensities in open-shell clusters containing O2 (3Σg-) and a closed–shell molecule","authors":"Wafaa M. Fawzy","doi":"10.1016/j.jms.2023.111822","DOIUrl":"https://doi.org/10.1016/j.jms.2023.111822","url":null,"abstract":"<div><p>We introduce two effective Hamiltonians that are suitable for analysis and fitting IR and MW high resolution spectra in non-planar or planar O<sub>2</sub>-closed-shell complexes, where the closed-shell moiety is a diatom or a triatomic molecule of any symmetry. These new Hamiltonians differ in our choice for the direction of quantization of the projection of the electron-spin angular momentum. For both electron-spin coupling schemes, the total rotation-spin-tunneling Hamiltonians include tunneling, electron-spin–spin coupling, electron-spin-rotation interaction, and centrifugal distortion forces. In addition, we introduce the appropriate molecular symmetry treatment for an O<sub>2</sub> (<span><math><mrow><msup><mrow><mspace></mspace></mrow><mn>3</mn></msup><msubsup><mi>Σ</mi><mi>g</mi><mo>-</mo></msubsup></mrow></math></span>)-XY<sub>2</sub> (e.g., O<sub>2</sub>-SO<sub>2</sub> and O<sub>2</sub>-H<sub>2</sub>O) dimer in which the monomers exhibit permeation-inversion tunneling motion. Non-vanishing matrix elements of the total Hamiltonians and expectation values of six quantum numbers are evaluated in the appropriate basis set <span><math><mfenced><mrow><mrow><mi>S</mi><mo>,</mo><msub><mi>P</mi><mi>s</mi></msub><mo>;</mo><mi>P</mi><mo>,</mo><mi>J</mi><mo>,</mo><msub><mi>M</mi><mi>J</mi></msub></mrow></mrow></mfenced></math></span>. Diagonalization of the total Hamiltonian matrix provides the energy levels while the eigenfunctions are used to transform expectation values of the quantum numbers into the eigenfunctions basis and for calculation of relative intensities of the allowed transitions. The reported Hamiltonians were successfully applied for fitting the observed IR and FTMW spectra of the O<sub>2</sub>-DF and O<sub>2</sub>-SO<sub>2</sub> complexes, respectively.</p></div>","PeriodicalId":16367,"journal":{"name":"Journal of Molecular Spectroscopy","volume":"397 ","pages":"Article 111822"},"PeriodicalIF":1.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49764991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}