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Title: Reduced dimension rovibrational variational calculations of the S1 state of C2H2. II. The S1 rovibrational manifold and the effects of isomerization

Abstract

Reduced dimension variational calculations have been performed for the rovibrational level structure of the S1 state of acetylene. The state reflects an unusually complicated level structure, for various reasons. First, the potential energy surface has two accessible conformers, trans and cis. The cis conformer lies about 2700 cm–1 above the trans, and the barrier to cis-trans isomerization lies about 5000 cm–1 above the trans minimum. The trans vibrations ν4 (torsion) and ν6 (asym. bend) interact very strongly by Darling-Dennison and Coriolis resonances, such that their combination levels and overtones form polyads with unexpected structures. Both conformers exhibit very large x36 cross-anharmonicity since the pathway to isomerization is a combination of ν6 and ν3 (sym. bend). Near the isomerization barrier, the vibrational levels show an even-odd K-staggering of their rotational levels as a result of quantum mechanical tunneling through the barrier. The current calculations address all of these complications, and reproduce the observed K-structures of the bending and C–C stretching levels with good qualitative accuracy. It is anticipated that they will assist with the assignment of the irregular patterns near the isomerization barrier.

Authors:
 [1];  [1];  [2];  [3];  [4]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of Colorado, Boulder, CO (United States)
  2. Univ. of Texas, Austin, TX (United States)
  3. Academia Sinica, Taipei (Taiwan); Univ. of British Columbia, Vancouver, BC (Canada)
  4. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1557648
Grant/Contract Number:  
FG02-87ER13671
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 140; Journal Issue: 2; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Changala, P. Bryan, Baraban, Joshua H., Stanton, John F., Merer, Anthony J., and Field, Robert W. Reduced dimension rovibrational variational calculations of the S1 state of C2H2. II. The S1 rovibrational manifold and the effects of isomerization. United States: N. p., 2014. Web. doi:10.1063/1.4859876.
Changala, P. Bryan, Baraban, Joshua H., Stanton, John F., Merer, Anthony J., & Field, Robert W. Reduced dimension rovibrational variational calculations of the S1 state of C2H2. II. The S1 rovibrational manifold and the effects of isomerization. United States. https://doi.org/10.1063/1.4859876
Changala, P. Bryan, Baraban, Joshua H., Stanton, John F., Merer, Anthony J., and Field, Robert W. Mon . "Reduced dimension rovibrational variational calculations of the S1 state of C2H2. II. The S1 rovibrational manifold and the effects of isomerization". United States. https://doi.org/10.1063/1.4859876. https://www.osti.gov/servlets/purl/1557648.
@article{osti_1557648,
title = {Reduced dimension rovibrational variational calculations of the S1 state of C2H2. II. The S1 rovibrational manifold and the effects of isomerization},
author = {Changala, P. Bryan and Baraban, Joshua H. and Stanton, John F. and Merer, Anthony J. and Field, Robert W.},
abstractNote = {Reduced dimension variational calculations have been performed for the rovibrational level structure of the S1 state of acetylene. The state reflects an unusually complicated level structure, for various reasons. First, the potential energy surface has two accessible conformers, trans and cis. The cis conformer lies about 2700 cm–1 above the trans, and the barrier to cis-trans isomerization lies about 5000 cm–1 above the trans minimum. The trans vibrations ν4 (torsion) and ν6 (asym. bend) interact very strongly by Darling-Dennison and Coriolis resonances, such that their combination levels and overtones form polyads with unexpected structures. Both conformers exhibit very large x36 cross-anharmonicity since the pathway to isomerization is a combination of ν6 and ν3 (sym. bend). Near the isomerization barrier, the vibrational levels show an even-odd K-staggering of their rotational levels as a result of quantum mechanical tunneling through the barrier. The current calculations address all of these complications, and reproduce the observed K-structures of the bending and C–C stretching levels with good qualitative accuracy. It is anticipated that they will assist with the assignment of the irregular patterns near the isomerization barrier.},
doi = {10.1063/1.4859876},
journal = {Journal of Chemical Physics},
number = 2,
volume = 140,
place = {United States},
year = {Mon Jan 13 00:00:00 EST 2014},
month = {Mon Jan 13 00:00:00 EST 2014}
}

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Works referenced in this record:

Analysis of the Near Ultraviolet Absorption Spectrum of Acetylene
journal, May 1954

  • Innes, K. Keith
  • The Journal of Chemical Physics, Vol. 22, Issue 5
  • DOI: 10.1063/1.1740204

The band system of acetylene
journal, September 1982


The band system of acetylene: Bands of the short-wavelength region
journal, September 1986


The direct observation, assignment, and partial deperturbation of ν 5 and ν 35 in A ̃  1 A u acetylene (C 2 H 2 )
journal, July 1993

  • Tobiason, J. D.; Utz, A. L.; Crim, F. F.
  • The Journal of Chemical Physics, Vol. 99, Issue 2
  • DOI: 10.1063/1.465357

The direct observation, assignment, and partial deperturbation of the ν 4 and ν 6 vibrational fundamentals in A ̃  1 A u acetylene (C 2 H 2 )
journal, February 1993

  • Utz, A. L.; Tobiason, J. D.; Carrasquillo M., E.
  • The Journal of Chemical Physics, Vol. 98, Issue 4
  • DOI: 10.1063/1.464156

IR−UV Double Resonance Spectroscopy of Acetylene in the à 1 A u n ν 3 ‘+ν 4 ‘ and n ν 3 ‘+ν 6 ‘ ( n = 2, 3) Ungerade Vibrational States
journal, November 2000

  • Mizoguchi, Miwako; Yamakita, Nami; Tsuchiya, Soji
  • The Journal of Physical Chemistry A, Vol. 104, Issue 45
  • DOI: 10.1021/jp001215y

New vibrational assignments in the Ā 1 A u -[Xtilde] 1 Σ + g electronic transition of acetylene, C 2 H 2 : the v′ 1 frequency
journal, February 2003


Direct observation of the symmetric stretching modes of à 1 A u acetylene by pulsed supersonic jet laser induced fluorescence
journal, August 2008


Darling–Dennison resonance and Coriolis coupling in the bending overtones of the ÃAu1 state of acetylene, C2H2
journal, August 2008

  • Merer, Anthony J.; Yamakita, Nami; Tsuchiya, Soji
  • The Journal of Chemical Physics, Vol. 129, Issue 5
  • DOI: 10.1063/1.2939246

Stretch-bend combination polyads in the Ã1Au state of acetylene, C2H2
journal, August 2009

  • Steeves, Adam H.; Bechtel, Hans A.; Merer, Anthony J.
  • Journal of Molecular Spectroscopy, Vol. 256, Issue 2
  • DOI: 10.1016/j.jms.2009.05.005

Cis-trans isomerization in the S 1 state of acetylene: Identification of cis-well vibrational levels
journal, June 2011

  • Merer, Anthony J.; Steeves, Adam H.; Baraban, Joshua H.
  • The Journal of Chemical Physics, Vol. 134, Issue 24
  • DOI: 10.1063/1.3599091

The à 1 A u state of acetylene: ungerade vibrational levels in the region 45,800–46,550 cm −1
journal, July 2012


468. The electronic orbitals, shapes, and spectra of polyatomic molecules. Part III. HAB and HAAH molecules
journal, January 1953


The Lower Excited States of some Simple Molecules
journal, January 1958

  • Mulliken, R. S.
  • Canadian Journal of Chemistry, Vol. 36, Issue 1
  • DOI: 10.1139/v58-002

THE ELECTRONIC STATES OF CIS - AND TRANS -ACETYLENE
journal, April 1959

  • Howard, H.; King, G. W.
  • Canadian Journal of Chemistry, Vol. 37, Issue 4
  • DOI: 10.1139/v59-095

AB initio SCF and CI calculations of linear and bent acetylene
journal, September 1970


AB initio calculation of vertical transition energies of the C2H2 molecule
journal, September 1974


Theoretical assignments of the electronic spectrum of acetylene
journal, January 1974

  • Demoulin, Daniel; Jungen, Martin
  • Theoretica Chimica Acta, Vol. 34, Issue 1
  • DOI: 10.1007/BF00553227

The shapes of some excited states of acetylene
journal, November 1975


Excited singlet electronic states of acetylene: c i s and t r a n s structures and energetics
journal, December 1980

  • So, S. P.; Wetmore, Ross W.; Schaefer, Henry F.
  • The Journal of Chemical Physics, Vol. 73, Issue 11
  • DOI: 10.1063/1.440049

Theoretical study of the U.V. spectrum of acetylene: I.
journal, December 1984

  • Perić, Miljenko; Buenker, Robert J.; Peyerimhoff, Sigrid D.
  • Molecular Physics, Vol. 53, Issue 5
  • DOI: 10.1080/00268978400102931

Ab initio calculations on the excited states of π-systems. I. Valence excitations in acetylene
journal, February 1986


A theoretical study of the photodissociation of acetylene in its lowest excited singlet state
journal, December 1989


Stationary points on the S 1 potential energy surface of C 2 H 2
journal, July 1994

  • Stanton, John F.; Huang, Chang‐Ming; Szalay, Péter G.
  • The Journal of Chemical Physics, Vol. 101, Issue 1
  • DOI: 10.1063/1.468142

Excited states of acetylene: a CASPT2 study
journal, November 1998

  • Malsch, Karsten; Rebentisch, Rupert; Swiderek, Petra
  • Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta), Vol. 100, Issue 1-4
  • DOI: 10.1007/s002140050377

A quantum dynamical examination of the vibronic structure of singlet and triplet spectra of acetyleneDedicated to Professor F. Dörr on the occasion of his 80th birthday.
journal, December 2001

  • Malsch, Karsten; Hohlneicher, Georg; Schork, Rainer
  • Physical Chemistry Chemical Physics, Vol. 3, Issue 24
  • DOI: 10.1039/b106391j

The valence-excited states T1–T4 and S1–S2 of acetylene: A high-level MR-CISD and MR-AQCC investigation of stationary points, potential energy surfaces, and surface crossings
journal, January 2003

  • Ventura, Elizete; Dallos, Michal; Lischka, Hans
  • The Journal of Chemical Physics, Vol. 118, Issue 4
  • DOI: 10.1063/1.1532312

Calculation of excited-state properties using general coupled-cluster and configuration-interaction models
journal, November 2004

  • Kállay, Mihály; Gauss, Jürgen
  • The Journal of Chemical Physics, Vol. 121, Issue 19
  • DOI: 10.1063/1.1805494

A wave-packet simulation of the low-lying singlet electronic transitions of acetylene
journal, May 2005

  • Schubert, Bernd; Köppel, Horst; Lischka, Hans
  • The Journal of Chemical Physics, Vol. 122, Issue 18
  • DOI: 10.1063/1.1890865

Reduced dimension discrete variable representation study of cis–trans isomerization in the S 1 state of C 2 H 2
journal, June 2011

  • Baraban, J. H.; Beck, A. R.; Steeves, A. H.
  • The Journal of Chemical Physics, Vol. 134, Issue 24
  • DOI: 10.1063/1.3570823

Anharmonic force fields of cis - and trans -S 1 C 2 H 2
journal, July 2012


Spectroscopic signatures of bond-breaking internal rotation. II. Rotation-vibration level structure and quantum monodromy in HCP
journal, January 2001

  • Jacobson, Matthew P.; Child, Mark S.
  • The Journal of Chemical Physics, Vol. 114, Issue 1
  • DOI: 10.1063/1.1330746

Communication: Effective spectroscopic Hamiltonian for multiple minima with above barrier motion: Isomerization in HO2
journal, September 2010

  • Barnes, George L.; Kellman, Michael E.
  • The Journal of Chemical Physics, Vol. 133, Issue 10
  • DOI: 10.1063/1.3480017

Detailed analysis of polyad-breaking spectroscopic Hamiltonians for multiple minima with above barrier motion: Isomerization in HO 2
journal, February 2011

  • Barnes, George L.; Kellman, Michael E.
  • The Journal of Chemical Physics, Vol. 134, Issue 7
  • DOI: 10.1063/1.3552086

Extended permutation-inversion groups for simultaneous treatment of the rovibronic states of trans-acetylene, cis-acetylene, and vinylidene
journal, May 2011


Reduced dimension rovibrational variational calculations of the S 1 state of C 2 H 2 . I. Methodology and implementation
journal, January 2014

  • Changala, P. Bryan
  • The Journal of Chemical Physics, Vol. 140, Issue 2
  • DOI: 10.1063/1.4859875

Works referencing / citing this record: