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3. PHOTO-ORIENTATiON BY PHOTOISOMERIZATION                                 ££

               tion of coupled photoisomerization and photo-orientation in A«-»B photo-
               isomerizable systems where B is unknown. I will use this theory to study
               quantitatively both the photoisomerization and the photo-orientation of a
               series of photoisomerizable chromophores in films of polymer, including
               azobenzene derivatives and photochromic spectrally distinguishable spiro-
               pyrans and diarylethene-type chromophores. The way these chromophores
               move upon isomerization and the symmetry of the isomers' transitions will
               also be discussed.
                   A second aspect relates to the mechanisms of photo-orientation. Photo-
               orientation by photoisomerization occurs through a polarization-sensitive
               photoexcitation, i.e., photoselection, and the probability of exciting a
               transition in an isomer is proportional to the cosine square of the angle
               between that transition and the polarization of the excitation light.
               Transitions that lie along the polarization of the irradiation light will be
               excited with the highest probability, and molecules may be isomerized and
               reoriented and may fade in the direction of the polarization of the irradiation
               light. Now, and because photoisomerizable chromophores usually have two
               isomers, cis and trans, that can be interconverted into each other by light or
               heat, e.g., thermodynamically (vide infra), one can ask legitimate questions.
               Why does the molecule change orientation upon isomerization? Which
               isomer is oriented during which isomerization reaction? Do isomers orient
               upon photoselection without isomerization? How may photoisomerization
               quantum yields influence photo-orientation? Questions are also posed in
               regard to the systematic choice of the type of the photochromic molecules for
               photo-orientation studies.
                   A third aspect of photo-orientation in films of solid polymers is how
               photo-orientation is influenced by the polymer structure, molecular
               environment, and film configuration. Polymer structural effects on photo-
               orientation as well as the effect of intermolecular interaction and free volume
               are discussed in other chapters of this book.
                   Section 3.2 of this chapter recalls the pure photochemical point of view
               of photoisomerization of azobenzene derivatives. Section 3.3 discusses the
               theory of photo-orientation by photoisomerization and gives analytical
               expressions for the measurement of coupled photoisomerization and photo-
               orientation parameters. Sections 3.4 and 3.5 review observations of photo-
               orientation in azobenzene and push-pull azobenzene derivatives, respectively.
               Among other things, these sections address photo-orientation in both cis
               and trans isomers and discuss the effect of trans<-»cis cycling, i.e., the photo-
               chemical quantum yields, on photo-orientation. Section 3.6 discusses the
               effect of the symmetry of photochemical transitions on photo-orientation in
               spiropyran and diarylethene-type chromophores. Finally, I make some
               concluding observations in Section 3.7.



     3.2 PHOTOISOMERIZATION OF AZOBENZENES

               The isomerization of azobenzenes is discussed in detail by Rau in Chapter 1.
               In this section, I shall recall the basic features of photoisomerization of
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