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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

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4859876· OSTI ID:1557648
 [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)

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.

Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
FG02-87ER13671
OSTI ID:
1557648
Journal Information:
Journal of Chemical Physics, Vol. 140, Issue 2; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

References (39)

549. Excited states of acetylene. Part I. Possibilities of interaction between σ-bond hybridisation and π-electron excitation with resulting changes of shape during transitions journal January 1953
Analysis of the Near Ultraviolet Absorption Spectrum of Acetylene journal May 1954
The band system of acetylene journal September 1982
The band system of acetylene: Analysis of medium-wavelength bands, and vibration-rotation constants for the levels nν′3 (n = 4–6), ν′2 + nν′3 (n = 3–5), and ν′1 + nν′3 (n = 2, 3) journal May 1985
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
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
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
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
Stretch-bend combination polyads in the Ã1Au state of acetylene, C2H2 journal August 2009
Cis-trans isomerization in the S 1 state of acetylene: Identification of cis-well vibrational levels journal June 2011
The à 1 A u state of acetylene: ungerade vibrational levels in the region 45,800–46,550 cm −1 journal July 2012
Calculations of the energy levels of acetylene by the method of antisymmetric molecular orbitals, including ?-? interaction journal January 1952
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
THE ELECTRONIC STATES OF CIS - AND TRANS -ACETYLENE journal April 1959
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
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
Theoretical study of the U.V. spectrum of acetylene: I. journal December 1984
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
Excited states of acetylene: a CASPT2 study
  • Malsch, Karsten; Rebentisch, Rupert; Swiderek, Petra
  • Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta), Vol. 100, Issue 1-4 https://doi.org/10.1007/s002140050377
journal November 1998
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
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
Calculation of excited-state properties using general coupled-cluster and configuration-interaction models journal November 2004
A wave-packet simulation of the low-lying singlet electronic transitions of acetylene journal May 2005
Reduced dimension discrete variable representation study of cis–trans isomerization in the S 1 state of C 2 H 2 journal June 2011
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
Communication: Effective spectroscopic Hamiltonian for multiple minima with above barrier motion: Isomerization in HO2 journal September 2010
Detailed analysis of polyad-breaking spectroscopic Hamiltonians for multiple minima with above barrier motion: Isomerization in HO 2 journal February 2011
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

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