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54                                               TAKAYOSHI KOBAYASHI AND TAKASHS SAiTO

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                 from 10 to 20 mj/cm . Further experiments were performed on the same
                 molecules dissolved in a mixture of solvents with the purpose of examining
                 the effect of viscosity on the rate of isomerization of 1PA2N as revealed by
                 the kinetics of the recovery of the 480-nm band after excitation with a non-
                 saturating 5-ps, 530-nm pulse.
                     We present here only the kinetics of the 480-nm band, which is represen-
                 tative of the transient kinetics. We also make the obvious and trivial assump-
                 tion that a fraction of the excited singlet state population remains there
                 during the relaxation process. The factor of 10 changes in the viscosity of
                 the solvent were achieved by using methylcyclohexane (17=0.729 cP) and
                 methylcyclohexane-cyclohexanol 5:2 and 5:9 mixtures (with respective vis-
                 cosities of 2.09 and 9.63 cP).
                     For every solution, we found that the recovery of the bleaching 480-nm
                 band follows biphasic kinetics composed of two exponential functions.
                 The time constants correspond to the 5:9 methylcyclohexane-cyclohexanol
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                 (77=9.63 cP) solution, excited with a 10-mJ/cm  pulse. The long-lifetime
                 components have more than 1 ns time constant, while the short component
                 exhibits a time constant, of 107±24 ps. We believe that the variation in the
                 480-nm recovery time constant observed with the two solutions, 14±4 ps vs.
                 107±20 ps, which were excited and monitored with identical pulses, is caused
                 by the difference in viscosity.
                     This proposal regarding the dependence of the short decay time com-
                 ponent on viscosity is supported by the fact that the 530-nm pulse excites
                 preferentially the H, hydrazone, form of the 1PA2N molecule and specifically
                 the trans isomer of the H form (HT). In addition, the cis form is known to be
                 unstable, quite possibly because of the steric hindrance between the naphtha-
                 lene and benzene components of the 1PA2N, and therefore of the very low
                 ground state population.
                     If we assume that the HT form is excited mainly with the 530-nm pulse,
                 there are three possible candidates for the mechanism that governs the decay
                 rate of the fast component: (1) intersystem crossing from the excited singlet
                 state of HT to HT triplet; (2) trans-cis isomerization; and (3) internal conver-
                 sion to the ground state. The first possibility is excluded, based on the
                 absence of a reasonable yield of phosphorescence, even at low tempera-
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                 tures.  Possibility 3 is not very plausible because of the existence of the
                 additional long component and the strong dependence on the viscosity of the
                 solvent. Trans-cis isomerization is the most reasonable possibility.
                 2.3.1,4 Trans-cis Isomerization
                     The assignment of the observed fast kinetic rate to trans-cis isomerization
                 is strongly supported by our experimental data, which show that the time
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                 constant is related to the viscosity by approximately irf . The Forster and
                               18                                          m
                 Hoffman model  was developed originally to explain the Q= rj  relation-
                 ship where Q is the fluorescence quantum yield and 17 is the viscosity of
                 the medium for triphenylmethane dyes. In addition, it was predicted that
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                 the fluorescence lifetime, r, should follow a similar relationship: r = c rj .
                 According to this model, absorption of light produces a vertically excited
                 Franck-Condon state with the phenyl rings still at a ground state equilibrium
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