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66                                                                ZOUHEIR SEKKAT

                 azobenzene derivatives, a necessary groundwork for photo-orientation studies.
                 Azobenzene derivatives and other photoisomerizable molecules have two
                 geometric isomers, the trans and the cis forms, and the isomerization reaction
                 is a light- or heat-induced interconversion of the two isomers. (See the top
                 of Figure 3.1 for the trans and cis azobenzenes.) The trans isomer is
                 thermodynamically more stable than the cis isomer—the energy barrier at
                 room temperature is about 50 kj/mol for the azobenzene—and generally,
                 the thermal isomerization is in the cis—»trans direction. Light induces
                 isomerization in both directions. Photoisomerization begins by elevating the
                 isomers to electronically exited states, after which nonradiative decay brings
                 them to the ground state either in the "cis" form or in the "trans" form, the
                 ratio depending upon the quantum yields of the isomerization reaction. From
                 the cis form, molecules come back to the trans form by two mechanisms:
                 spontaneous thermal reaction and reverse cis—Hrans photoisomerization,.
                     The lower part of Figure 3.1 shows a simplified model of the excited
                 states. Only two excited states are represented, but each represents a set of
                 actual levels. The lifetimes of all these levels are assumed to be very short in
                 comparison of those of the two excited states. a, and <5 C form the cross
                 section for absorption of one photon by the trans and the cis isomers,
                 respectively. The cross sections are proportional to the isomers' extinction
                 coefficients, y is the thermal relaxation rate; it is equal to the reciprocal of the
                 lifetime of the cis isomer (i c). <f> tc and  <$># are the quantum yields (QYs) of
                 photoisomerization; they represent the efficiency of the trans~»cis and
                 cis—>trans photochemical conversion per absorbed photon, respectively. They
                 can be calculated for isotropic media by Rau's method, which was adapted
                 from Fisher {see Appendix A); for anisotropic media, they can be calculated
                 by a method described in this chapter. Two mechanisms may occur during the
                 photoisomerization of azobenzene derivatives—one from the high-energy
                 n-n* transition, which leads to rotation around the azo group, i.e., -N=N-
                 double bond, and the other from the low-energy n-n* transition, which
                 induces isomerization by inversion through one of the nitogen nuclei. Both
                 proposed mechanisms lead to the same eventual conformational change, but


















                                                    Yo   Cis
                                            Trans
                 FIGURE 3.1 (Top) Trans«-»cis isomerization of azobenzenes. (Bottom) Simplified model of the
                 molecular states.
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