A new method of calculation of Franck-Condon factors which includes allowance for anharmonicity and the Duschinsky effect: Simulation of the HeI photoelectron spectrum of ClO2
A new method of calculation of Franck-Condon factors which includes allowance for anharmonicity and the Duschinsky effect: Simulation of the HeI photoelectron spectrum of ClO2
A new method of Franck-Condon (FC) factor calculation for nonlinear polyatomics, which includes anharmonicity and Duschinsky rotation, is reported. Watson's Hamiltonian is employed in this method with multidimensional ab initio potential energy functions. The anharmonic vibrational wave functions are expressed as linear combinations of the products of harmonic oscillator functions. The Duschinsky effect, which arises from the rotation of the normal modes of the two electronic states involved in the electronic transition, is formulated in Cartesian coordinates, as was done previously in an earlier harmonic FC model. This new anharmonic FC method was applied to the simulation of the bands in the He I photoelectron (PE) spectrum of ClO2. For the first band, the harmonic FC model was shown to be inadequate but the anharmonic FC simulation gave a much-improved agreement with the observed spectrum. The experimentally derived geometry of the (X) over tilde (1)A(1) state of ClO2+ was obtained, for the first time, via the iterative FC analysis procedure {R(Cl-O)=1.414 +/- 0.002 Angstrom, angle O-Cl-O=121.8 +/- 0.1 degrees}. The heavily overlapped second PE band of ClO2, corresponding to ionization to five cationic states, was simulated using the anharmonic FC code. The main vibrational features observed in the experimental spectrum were adequately accounted for in the simulated spectrum. The spectral simulation reported here supports one of the two sets of published assignments for this band, which was based on multireference configuration interaction (MRCI) calculations. In addition, with the aid of the simulated envelopes, a set of adiabatic (and vertical) ionization energies to all five cationic states involved in this PE band, more reliable than previously reported, has been derived. This led also to a reanalysis of the photoabsorption spectrum of ClO2.
correlated molecular calculations, equilibrium potential-energy, ab-initio calculations, gaussian-basis sets, triatomic-molecules, vibronic structure, chlorine dioxide, vibrational structure, rotationalspectrum, internal dynamics
5791-5803
Mok, D. K. W.
49a4e516-0e71-4f59-a3ec-bd607b47ef33
Lee, E. P. F.
f47c6d5d-2d1f-4f03-a3ff-03658812d80b
Chau, F. T.
53ebc8f8-5e82-4b34-9795-45f0cb63c4ac
Wang, D. C.
29801841-f036-4a8e-ba68-29b92a64db46
Dyke, J. M.
46393b45-6694-46f3-af20-d7369d26199f
8 October 2000
Mok, D. K. W.
49a4e516-0e71-4f59-a3ec-bd607b47ef33
Lee, E. P. F.
f47c6d5d-2d1f-4f03-a3ff-03658812d80b
Chau, F. T.
53ebc8f8-5e82-4b34-9795-45f0cb63c4ac
Wang, D. C.
29801841-f036-4a8e-ba68-29b92a64db46
Dyke, J. M.
46393b45-6694-46f3-af20-d7369d26199f
Mok, D. K. W., Lee, E. P. F., Chau, F. T., Wang, D. C. and Dyke, J. M.
(2000)
A new method of calculation of Franck-Condon factors which includes allowance for anharmonicity and the Duschinsky effect: Simulation of the HeI photoelectron spectrum of ClO2.
The Journal of Chemical Physics, 113 (14), .
(doi:10.1063/1.1290124).
Abstract
A new method of Franck-Condon (FC) factor calculation for nonlinear polyatomics, which includes anharmonicity and Duschinsky rotation, is reported. Watson's Hamiltonian is employed in this method with multidimensional ab initio potential energy functions. The anharmonic vibrational wave functions are expressed as linear combinations of the products of harmonic oscillator functions. The Duschinsky effect, which arises from the rotation of the normal modes of the two electronic states involved in the electronic transition, is formulated in Cartesian coordinates, as was done previously in an earlier harmonic FC model. This new anharmonic FC method was applied to the simulation of the bands in the He I photoelectron (PE) spectrum of ClO2. For the first band, the harmonic FC model was shown to be inadequate but the anharmonic FC simulation gave a much-improved agreement with the observed spectrum. The experimentally derived geometry of the (X) over tilde (1)A(1) state of ClO2+ was obtained, for the first time, via the iterative FC analysis procedure {R(Cl-O)=1.414 +/- 0.002 Angstrom, angle O-Cl-O=121.8 +/- 0.1 degrees}. The heavily overlapped second PE band of ClO2, corresponding to ionization to five cationic states, was simulated using the anharmonic FC code. The main vibrational features observed in the experimental spectrum were adequately accounted for in the simulated spectrum. The spectral simulation reported here supports one of the two sets of published assignments for this band, which was based on multireference configuration interaction (MRCI) calculations. In addition, with the aid of the simulated envelopes, a set of adiabatic (and vertical) ionization energies to all five cationic states involved in this PE band, more reliable than previously reported, has been derived. This led also to a reanalysis of the photoabsorption spectrum of ClO2.
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Published date: 8 October 2000
Keywords:
correlated molecular calculations, equilibrium potential-energy, ab-initio calculations, gaussian-basis sets, triatomic-molecules, vibronic structure, chlorine dioxide, vibrational structure, rotationalspectrum, internal dynamics
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Local EPrints ID: 18952
URI: http://eprints.soton.ac.uk/id/eprint/18952
ISSN: 0021-9606
PURE UUID: d31611c0-906f-4193-b81a-9092a762ecb9
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Date deposited: 21 Dec 2005
Last modified: 16 Mar 2024 02:36
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Author:
D. K. W. Mok
Author:
E. P. F. Lee
Author:
F. T. Chau
Author:
D. C. Wang
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