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34                                                                HERMANN RAU


                                               (B)
















                  o   30  60  90  120  150  ISO
                                                                             Z-isomer
                2-isomer  CNNC dihedral angle/degrees  E-isomer
               FKHJME 1.15 (A) The calculated singlet states relevant for isomerization by rotation according to
               Cattaneo and Persico. (Adapted from reference 184, by permission.) (B) The potential energy curve sys-
               tem for rotation and inversion according to Rau (From reference 34, by permission.)




                    Besides solving the quantum yield enigma, this concept also rationalizes
                 some other results. If rotation is inhibited by, say, structural design as, for
                 instance, in azobenzenophanes or constraint from outside as, for instance, in
                                                 114         116 117
                 restricted spaces as in 13-cyciodextrin  or zeolites '  or in solid matrices
                                               111
                 or low temperature down to 4 K,  then the internal conversion from the
                 1            l
                   (7i,n*) to the (n,n*) state provides a virtually barrierless path of isomeriza-
                 tion. The fact that the stilbenophane analogue of Tamaoki's azobenzeno-
                                         181 182
                 phane shows isomerization '  does not invalidate this reasoning—the
                 azobenzenes choose the easiest isomerization path.
                    This suggestion, based on intuitive penetration into then nonvisible
                 geometries of azobenzene, has met critical theoretical examination by calcula-
                 tions of the potential energy surfaces and critical experimental examination
                 that comes from ultra-short spectroscopy.

                 1.6.1.3 Calculations of Potential Energy Curves
                                                                l
                                                                           171
                    Some older calculations suggest rotation in the (n,n*) state  or the
                                                               172 173
                activity of both mechanisms in the Si and S 2 state. '  They were of the
                highest quality in their time. In a newer paper, Monti, Orfandi, and
                        183
                Palmieri  reported an ab-initio calculation of the state energies at four
                special geometries for azobenzene: E and Z, planar semilinear, and 90°
                twisted azobenzene configurations. These authors found that the twisted
                 l                                     l                      1
                 (n,it*) is higher in energy than the twisted (im*) state and even the (m*)
                                                        1
                state of the E-isomer, whereas the semilinear (n,n*) state should be at lower
                energy than the two corresponding ^ivc*) states. With these cornerstones,
                the authors conjectured a system of potential energies for rotation and inver-
                sion (Figure 1.16), which differs from that of Figure 1.15 for the rotation
                pathway. According to the diagrams of Monti, Orlandi, and Palmieri, on
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