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TIME DEPENDENT DENSITY FUNCTIONAL THEORY ... - TDDFT.org

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Hartree Fock exchange in Time Dependent<br />

Density Functional Theory<br />

Leonardo Bernasconi ⋆ , Michiel Sprik ⋆ , and Jürg Hutter †<br />

⋆ Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, U.K.<br />

† Physical Chemistry Institute, University of Zurich, Winterthurerstrasse, 190, CH-8057 Zurich,<br />

Switzerland<br />

The absorption spectrum of acetone in aqueous solution at finite temperature is computed using<br />

Time Dependent Density Functional Theory and Car Parrinello Molecular Dynamics at the BLYP,<br />

B3LYP and PBE0 level of theory. The role of the exchange-correlation functional in separating<br />

spectral features originating from localised (intra-molecular) and charge-transfer or collective electronic<br />

excitations is analysed. In the limit of local and frequency independent exchange-correlation<br />

kernels, admixture of Hartree Fock exchange in the density functional is proved to be a necessary<br />

requirement in order to remove the unphysical degeneracy between the intra-molecular n→ π ∗<br />

and solvent→solvent transitions. Results for the n→ π ∗ transition energy, oscillator strength and<br />

solvatochromic shift are computed in excellent agreement with experiment.<br />

1. J. Hutter, J. Chem. Phys. 118, 3928 (2003).<br />

2. L. Bernasconi, M. Sprik, and J. Hutter, J. Chem. Phys. 119, 12417 (2003).<br />

4. L. Bernasconi, M. Sprik, and J. Hutter, Chem. Phys. Lett. (2004, to be published).<br />

43

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