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3  PHOTO-ORIENTATION BY PHOTOISOMERIZATION                                £9

               orientational distribution in a nonpolar manner (nonpolar orientational hole
               burning), a feature that causes both Abs// and Abs ± to decrease upon
               irradiation, and (2) for unknown reasons, the long molecular axis of the azo
               chromophore fades from the exciting light polarization, and molecular
               rotation takes place in the whole photoisomerization process (orientational
               redistribution).
                   Additional progress has been made by studying photoisomerization in
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               spectrally individualizable isomers. '  These studies are summarized in this
               chapter. Briefly, in contrast to trans- and cis-DRl, trans- and cis-azobenzene
               are spectrally distinguishable. It was also shown that not only the trans
               isomer but also the cis isomer is oriented by photoisomerization, and the
               orientation memory of the azobenzene molecule is preserved when it changes
               shape from cis to trans during the cis—»trans thermal isomerization. In azo-
               benzene derivatives, the QYs and the rate of the cis—>trans thermal
               isomerization play a major part in the dynamics and efficiency of photo-
               orientation. Photochromic spiropyrans (SP) and diarylethenes (DE) isornerize
               by ring closing/opening, a feature that contrasts with azobenzene derivatives,
               which isomerize by shape change. The sign of the apparent photo-orientation
               of SP and DE depends on the photochemical transition band, i.e., on the
               analysis wavelength. It will be shown that the B isorner of SP and DE exhibit
               perpendicular transitions in the UV versus the visible transition bands. These
               experimental findings will be discussed in detail and in succession, after the
               introduction to the theory of photo-orientation.


      3.3.2 Theory of Photo-Orientation
               Inasmuch as the optical ordering of photoisomerizable molecules is being
               intensively studied, its theoretical quantification is needed to bridge inde-
               pendent studies in the areas of optics and photochemistry. Zimmerman et
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               al. , and Fisher,  and Rau et al,  developed an optical pumping population
               change based theoretical background for photoisomerization within a pure
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               photochemical framework. Michl et al.  performed intensive research on
               infrared vibrations and ultraviolet and visible (UV-vis) electronic transitions
               of molecules that are already oriented either by introduction into stretched
               polymer films or after photo-orientation. The theory that coupled photoiso-
               merization and photo-orientation processes was developed a few years ago,
               and its mathematical foundation is based on the formalism of Legendre
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               polynomials. '  However, further theoretical developments are still needed
               to quantify coupled photoisomerization and photo-orientation processes.
               The most important concept within the framework of photo-orientation
               that needs to be clearly addressed is the polarization nature of the optical
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               transition itself. In this section, I will present a model  based on purely
               polarized optical transitions; I will also present the related rigorous solutions
               to the general equations of the theory of molecular optical orientation for
               the full quantification of the coupled isomerization and optical ordering
               processes. This theory can be used for any type of photoisomerizable
               chromophore, and I will discuss it for both spectrally overlapping and
               distinguishable isomers.
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