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               456                                                                          Organic Chemical Systems, Theory


               low-energy configurations are constructed by considering  same minimum from which the initial excitation occurred,
               all suitable occupancies of the MOs of the reactants on  the process is viewed as photophysical. If it is not, a net
               the left-hand side and of the products on the right-hand  chemical reaction has occurred and the process is labeled
               side. The symmetry of each is again identified as antisym-  photochemical.
               metric or symmetric with respect to each of the above  At times the excited S 1 surface may touch or nearly
               symmetry elements, using the rule S × S = A × A = S  touch the S 0 surface, in which case the return to S 0 is very
               and A × S = A. Correlation lines are now drawn from  fast. Such areas in S 1 are often referred to as funnels since
               left to right by keeping the occupancy of each MO in  they very effectively return molecules to the ground state.
               each configuration constant. This often produces cross-  In order to understand photochemical reaction paths it
               ings of configurations of the same symmetry. Accord-  is thus important to have an understanding of the location
               ing to the noncrossing rule these must ultimately be  of barriers as well as minima and funnels in the S 1 and
               avoided.                                          T 1 surfaces, plus a sufficient understanding of the S 0 sur-
                 This is accomplished by introducing configuration in-  face to allow a prediction or rationalization of the fate of
               teraction, which converts the configuration correlation di-  a molecule that lands in a known region of this surface.
               agram to the desired state correlation diagram, as indicated  Correlation diagrams are often useful for this purpose. For
               in Fig. 10. Clearly, the crossing of correlating MOs in the  instance, the diagram for the face-to-face cycloaddition of
               case of the ethylene + ethylene cycloaddition causes a  two ethylenes shown in Fig. 10 shows the presence of a
               similar crossing of lines in the configuration correlation  minimum in the S 1 surface in the general area of geome-
               diagram. Since the effects of configuration mixing, which  tries at which the pericyclic transition state occurred in the
               produces the final state diagram, are generally relatively  ground state. While the latter was energetically unfavor-
               small, a memory of the crossing at the geometry of the  able in the S 0 state, making the reaction highly unlikely
               transition state survives and results in a large barrier in the  sincethemoleculeswillprobablyfindotherreactionpaths,
               energy of the ground state in the middle of the correlation  the minimum in the S 1 state provides an efficient driving
               diagram. It is then concluded that the transition state is  force for the photochemical cycloaddition to proceed ef-
               unfavorable relative to the case of the ethylene + butadi-  ficiently. Thus, reactions that fail to occur in the ground
               ene process, in which no such barrier is imposed by the  state are often smooth when performed photochemically
               correlation.                                      and vice versa.
                                                                   In general, by virtue of molecules landing at otherwise
                                                                 improbable and highly energetic areas on the S 0 surface,
               B. Photochemical Reactions
                                                                 photochemical processes are capable of producing very
               In photochemical reactions, initial electronic excitation is  highly energetic ground state products. Yet, frequently
               introduced by the absorption of a photon or by an energy  the same perturbations, such as substituent effects, that
               transfer from another molecule. It is normally followed  increase the stability of a molecule in the ground state
               by a very rapid, radiationless conversion to the lowest ex-  also facilitate its photochemical reactions by lowering
               citedsingletorthelowesttripletenergysurface,depending  the barriers encountered along the way. The interplay of
               on the multiplicity of the initial excited state. Also, any  these two aspects of the excited-state surfaces—minima
               vibrational energy in excess of that dictated by the tem-  and barriers—make the consideration of photochemical
               perature of the surrounding medium, whether generated  processes far more complex than the study of thermal
               by the initial excitation or by the radiationless process,  reactions.
               is rapidly lost to the solvent, unless one works in a gas
               phase at low pressure. Thus, in a matter of a few picosec-  SEE ALSO THE FOLLOWING ARTICLES
               onds or less the molecule ends up in one or another of
               the local minima in the S 1 or T 1 surface. Further motion  HYDROGEN BOND • INFRARED SPECTROSCOPY • KINET-
               on the surface may follow, depending on the tempera-  ICS (CHEMISTRY) • MOLECULAR ELECTRONICS • OR-
               ture and the height of the barriers surrounding the local  GANICCHEMISTRY,SYNTHESIS•PERIODICTABLE(CHEM-
               minimum. Also, radiationless conversion from the S 1 to  ISTRY) • PHOTOCHEMISTRY,MOLECULAR • POTENTIAL
               the T 1 state, known as intersystem crossing, can occur.  ENERGY SURFACES • QUANTUM MECHANICS • RAMAN
               This often happens on a nanosecond time scale. Sooner or  SPECTROSCOPY
               later a radiationless return to the S 0 state ensues. The final
               fate of the molecule is further loss of excess vibrational  BIBLIOGRAPHY
               energy and thermal equilibration at the bottom of one or
               another catchment basin in the S 0 surface, depending on  Albright, T. A., Burdett, J. K., and Whangbo, M.-H. (1985). “Orbital
               where on the S 0 surface the molecule landed. If this is the  Interactions in Chemistry,” Wiley, New York.
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