doi:10.1016/j.cplett.2004.03.051
Copyright © 2004 Elsevier B.V. All rights reserved.
A dressed TDDFT treatment of the 21Ag states of butadiene and hexatriene
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Robert J. Cave
,
, a, Fan Zhang b, Neepa T. Maitra b and Kieron Burke
, b
a Department of Chemistry, Harvey Mudd College, 241 E. 12th Street, Claremont, CA 91711, USA
b Department of Chemistry and Chemical Biology, Rutgers University, 610 Taylor Road, Piscataway, NJ 08554-8087, USA
Received 23 December 2003;
Revised 19 February 2004.
Available online 1 April 2004.
Abstract
The nature and energetics of the low-lying singlet states of polyenes have presented significant challenges for electronic structure methods. This is particularly true for conventional implementations of time-dependent density functional theory (TDDFT), which, because of their use of the adiabatic approximation, have difficulty in describing states of ‘doubly-excited character'. We show that use of our recently developed ‘Dressed TDDFT' approach provides a compact and accurate method for treating these doubly excited states, by use of a frequency-dependent exchange-correlation kernel. We present results for the vertical absorption energy for the 21Ag states of butadiene and hexatriene, and the vertical fluorescence and 0–0 transitions for the 21Ag state of butadiene.
Table 1. 21Ag state vertical excitation energies (eV) for butadiene and hexatriene

For all but the CASPT2 results the experimental geometry was used for butadiene (central C–C bond LENGTH=1.343 Å, end C–C bond LENGTHS=1.467 Å [18]) and a B3LYP/6-311G(d,p) optimized geometry was used for hexatriene.
Table 2. 21Ag state vertical and 0–0 excitation energies (eV) for butadiene at the estimated planar stationary point for the 21Ag state

Corresponding authors. Fax: +1-909-607-7577 (R.J. Cave)