Page 81 - Photoreactive Organic Thin Films
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TAKAYOSHI KOBAYASH) AND TAKASHI SAITO

                 the Lissajou figures of the modulation frequencies. This difference demon-
                 strates that signals of PC- and NC-puise excitations correspond to different
                                                                             28 30
                 electronic states—the excited state and the ground state, respectively. "  It is
                 also well known that the excited-state wave packet is much more efficiently
                                                                                 28 29
                 generated when the ratio of the vibration period and pulse width is large. '
                     The modulation period of 400fs in Figure 2.5A is considered to corre-
                 spond to the oscillation between structures (B) and (C) as shown in Figure
                     3 37
                 2.2. '  In this model, C-N and N=N stretching modes are coupled as shown
                 in Figure 2.2B and C through a -N=N-4> torsion mode, and frequencies of
                 these two vibration modes are modulated by this torsion motion, with a
                 vibration period of about 400fs. These molecular vibrations and their
                 torsion-caused modulations are considered to be related to a doorway to the
                 chemical reaction. During a few vibrations of the torsion mode, the isonier-
                 ization reaction takes place with a stochastic probability, resulting in the
                                                              26
                 macroscopic reaction time constant of about Ips.  The microscopic speed
                 of the configurational change associated with isomerization is fast enough
                 that the N=N and C-N stretching frequencies are not detected to have
                 the extremely modified frequencies of N-N and C=N stretching, respectively.
                 The torsion mode is thus probed by the changes in the N=N and C-N
                 stretching frequencies, even though these do not experience complete quan-
                 tum mechanical resonance configurations as N-N and C=N do. These fre-
                 quencies, including intermediate bond orders between 1 and 2 of each bond,
                 are averaged over the torsion time; hence they do not have bond orders that
                 are completely reversed from those of the ground state. It may be better to
                 say that the torsion time is too short to define the bond orders and correspon-
                 ding stretching frequencies for continuously changing configurations during
                 the torsion motion.
                     Figure 2.6 shows the results of short-time Fourier transform correspon-
                 ding to the modulation frequency power spectra of these two instantaneous


                             (A) PC-pulse excitation    (B) NC-pulse excitation

















                                50    100   150   200 0    50   100   150   200
                                                                     1
                                          1
                                  Frequency (cm" )          Frequency (cm" )
                 FIG. 2.6 Fourier transform of the frequency modulations of C-N stretching (straight lines) and
                 N=N stretching (dashed lines) modes by using (A) positively chirped (PC) pulse and (B) negatively
                 chirped (NC) pulse.
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