1
|
Lu Q. Neglected Importance of Anharmonicity in Quantifying the Renner-Teller Effect. ACS OMEGA 2022; 7:44078-44084. [PMID: 36506164 PMCID: PMC9730495 DOI: 10.1021/acsomega.2c05494] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 08/25/2022] [Accepted: 11/10/2022] [Indexed: 06/17/2023]
Abstract
Linear molecules in degenerate electronic states are influenced by the Renner-Teller (RT) effect. Currently the formula to quantify this vibronic interaction only considers the harmonic term. However, such a harmonic formula cannot well describe molecules that have double-well potential along the bending coordinate. In this work, we propose a new formula to quantify the RT effect by explicitly including the anharmonic term. A sign function and a delta function are additionally included to distinguish different scenarios. It is mathematically proved that the new formula is capable of differentiating different degrees of RT splitting. Representative molecules of different types are calculated. According to the new formula, molecules experiencing a weak RT effect have a positive parameter smaller than 1. For those experiencing a medium RT effect, the parameter will be negative. For others experiencing a large RT effect, the parameter will be larger than 1.
Collapse
|
2
|
Holzmeier F, Wolf TJA, Gienger C, Wagner I, Bozek J, Nandi S, Nicolas C, Fischer I, Gühr M, Fink RF. Normal and resonant Auger spectroscopy of isocyanic acid, HNCO. J Chem Phys 2018; 149:034308. [DOI: 10.1063/1.5030621] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- F. Holzmeier
- Institut des Sciences Moléculaire d’Orsay (CNRS), Université Paris-Sud, Université Paris-Saclay, 91405 Orsay, France
- Synchrotron SOLEIL, 91192 Gif-sur-Yvette, France
| | - T. J. A. Wolf
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - C. Gienger
- Institut für Physikalische und Theoretische Chemie, Universität Tübingen, 72076 Tübingen, Germany
| | - I. Wagner
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, 97074 Würzburg, Germany
| | - J. Bozek
- Synchrotron SOLEIL, 91192 Gif-sur-Yvette, France
| | - S. Nandi
- Department of Physics, Lund University, 221 00 Lund, Sweden
| | - C. Nicolas
- Synchrotron SOLEIL, 91192 Gif-sur-Yvette, France
| | - I. Fischer
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, 97074 Würzburg, Germany
| | - M. Gühr
- Institut für Physik und Astronomie Universität Potsdam, 14476 Potsdam, Germany
| | - R. F. Fink
- Institut für Physikalische und Theoretische Chemie, Universität Tübingen, 72076 Tübingen, Germany
| |
Collapse
|
3
|
Limão-Vieira P, Ferreira da Silva F, Almeida D, Hoshino M, Tanaka H, Mogi D, Tanioka T, Mason NJ, Hoffmann SV, Hubin-Franskin MJ, Delwiche J. Electronic excitation of carbonyl sulphide (COS) by high-resolution vacuum ultraviolet photoabsorption and electron-impact spectroscopy in the energy region from 4 to 11 eV. J Chem Phys 2015; 142:064303. [PMID: 25681902 DOI: 10.1063/1.4907200] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The electronic state spectroscopy of carbonyl sulphide, COS, has been investigated using high resolution vacuum ultraviolet photoabsorption spectroscopy and electron energy loss spectroscopy in the energy range of 4.0-10.8 eV. The spectrum reveals several new features not previously reported in the literature. Vibronic structure has been observed, notably in the low energy absorption dipole forbidden band assigned to the (4π←3π) ((1)Δ←(1)Σ(+)) transition, with a new weak transition assigned to ((1)Σ(-)←(1)Σ(+)) reported here for the first time. The absolute optical oscillator strengths are determined for ground state to (1)Σ(+) and (1)Π transitions. Based on our recent measurements of differential cross sections for the optically allowed ((1)Σ(+) and (1)Π) transitions of COS by electron impact, the optical oscillator strength f0 value and integral cross sections (ICSs) are derived by applying a generalized oscillator strength analysis. Subsequently, ICSs predicted by the scaling are confirmed down to 60 eV in the intermediate energy region. The measured absolute photoabsorption cross sections have been used to calculate the photolysis lifetime of carbonyl sulphide in the upper stratosphere (20-50 km).
Collapse
Affiliation(s)
- P Limão-Vieira
- Laboratório de Colisões Atómicas e Moleculares, CEFITEC, Departamento de Física, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, 2829-516 Caparica, Portugal
| | - F Ferreira da Silva
- Laboratório de Colisões Atómicas e Moleculares, CEFITEC, Departamento de Física, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, 2829-516 Caparica, Portugal
| | - D Almeida
- Laboratório de Colisões Atómicas e Moleculares, CEFITEC, Departamento de Física, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, 2829-516 Caparica, Portugal
| | - M Hoshino
- Department of Physics, Sophia University, Tokyo 102-8554, Japan
| | - H Tanaka
- Department of Physics, Sophia University, Tokyo 102-8554, Japan
| | - D Mogi
- Development and Marketing Department, New Products Development Division, Kanto Denka, Kogyo Co., Ltd., Chiyoda-ku, Tokyo 101-0063, Japan
| | - T Tanioka
- Shibukawa Development Research Laboratory, New Products Development Division, Kanto Denka Kogyo Co., Ltd., Shibukawa City, Gunma 377-8513, Japan
| | - N J Mason
- Department of Physical Sciences, The Open University, Walton Hall, Milton Keynes MK7 6AA, United Kingdom
| | - S V Hoffmann
- ISA, Department of Physics and Astronomy, Aarhus University, Ny Munkegade 120, DK-8000 Århus C, Denmark
| | - M-J Hubin-Franskin
- Départment de Chimie, Université de Liège, Institut de Chimie-Bât. B6C, allée de la Chimie 3, B-4000 Liège 1, Belgium
| | - J Delwiche
- Départment de Chimie, Université de Liège, Institut de Chimie-Bât. B6C, allée de la Chimie 3, B-4000 Liège 1, Belgium
| |
Collapse
|