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A Study of Azulene S1/S0
Conical Intersection Decay with MMVB Dynamics
"The Azulene S1 State Decays via a
Conical Intersection: A CASSCF Study with MMVB Dynamics"
M. J. Bearpark, F. Bernardi, S. Clifford, M. Olivucci , M.A. Robb,
B. R. Smith, T. Vreven (J. Amer. Chem. Soc. 118, 169-175, 1996)
DOI: 10.1021/ja9514555
The anomalous fluorescence of azulene - emission from S2
rather than S1 - was first recognised by Beer and
Longuet-Higgins forty years ago. Femtosecond laser studies and
spectroscopic linewidth measurements have now established that
radiationless decay from S1 to the ground state takes
place in less than a picosecond. Our results show how such
ultrafast S1 decay can be explained by relaxation
through an unavoided S1/S0 crossing - i.e.
a conical intersection.
The
relaxation coordinate linking the Franck-Condon geometry with the
S1 minimum in C2v symmetry is illustrated
in the figure (bond lengths in angstrom, energies in kcal/mol).
This coordinate involves compression of the transannular bond. At
the S1 minimum, the S0-S1 energy
gap is approximately half that at the Franck-Condon geometry .
Following this coordinate through the S1 minimum the
gap continues to shrink, leading ultimately to a conical
intersection.
We have modelled the decay using MMVB
dynamics. Packets of trajectories were computed, starting
from the Franck-Condon geometry, with initial conditions
determined by random sampling of each excited state normal mode
within an energy threshold.
The figure shows a potential energy plot for a typical trajectory
with low initial kinetic energy. The azulene molecule starts at
the Franck-Condon geometry, and from this point it begins to fall
toward the minimum on the S1 surface. During the
descent, the energy separation between the two states decreases,
and at the lowest point on the S1 trajectory it is ~15
kcal/mol. The kinetic energy developed is sufficient to take the
molecule through the conical intersection where it returns to the
ground state and begins to execute large amplitude vibrations.
The geometry at which the surface hop takes place is shown
top-right. The energy profiles along the trajectory reflect the S1
relaxation coordinate discussed above: the azulene conical
intersection is sloped.
The dynamics simulations suggest that fast internal conversion
will approach 100% efficiency for vertically excited azulene
molecules, decay taking place within a few femtoseconds of
excitation. At low kinetic energies, nearly all of the
surface-hops occur within the first half vibrational period.
Subsequent experiments supported the proposed model:
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A. J. Wurzer, T. Wilhelm, J. Piel, E. Riedle, Chem. Phys. Lett. 299, 296-302 (1999).
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E. W.-G. Diau, S. De Feyter, A. H. Zewail, J. Chem. Phys. 110, 9785-9788 (1999).
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