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              Photoelectron Spectroscopy                                                                   61

                                                                  2. For molecules it is often much more difficult to mea-
                                                                sure the optical spectrum of an ion than to measure the PE
                                                                spectrum of the parent molecule.
                                                                  3. States with an excitation energy higher than about
                                                                6 eV are difficult to study in optical spectroscopy. This
                                                                is particularly important for highly excited ion states that
                                                                correspond to the removal of an inner shell electron.
                                                                  4. For reasons discussed in Section II, the selection
                                                                rules are quite different for both types of spectroscopy.
                                                                The number of transitions allowed in photoemission is
                                                                usually much smaller than the number of allowed optical
                                                                transitions, especially at high excitation energies. There-
                                                                fore, PE spectra are considerably easier to interpret than
                                                                optical spectra, as will be seen in the following sections.



                                                                E. Photoelectron Spectra of Solids
                                                                In the case of solids some special aspects, such as the
                                                                very limited escape depth, must be considered. A photo-
                                                                electron created inside a solid must escape into the vac-
                                                                uum to be measured. Since the probability of inelastic
                                                                scattering is very high as long as the electron moves in-
              FIGURE 3 Comparison of the PE spectrum of octafluoronaph-
                                                                side the solid, only electrons created close to the surface
              thalene to the absorption spectrum of octafluoronaphthalene
              cation.                                           have a chance to escape without a secondary energy loss.
                                                                Figure 4 shows the average escape depth as a function of
                                                                the kinetic energy of the electron together with some of
                     +
              M 0 → M and the binding energy E B (0) corresponding
                     i
                       +
              to M 0 → M is equivalent to an optical transition between  the most useful excitation lines (see Section III). For a ki-
                       0
                       +
              M and M . If the 0–0 transition of the first photoemis-  netic energy of about 100 eV, the escape depth is lowest,
                +
               0       i
              sion band is used as the origin of a new energy scale, the
              energy of the higher lying ionization bands (or lines) cor-
              responds to an excitation energy within the system M ,
                                                         +
              whichinprinciplecanbeobtainedbyopticalspectroscopy.
              This is shown in Fig. 3, where the upper and lower spectra
              are the PE spectrum of octafluoronaphthalene and the ab-
              sorption spectrum of the octafluoronaphthalene cation, re-
              spectively. The two spectra are arranged so that the origin
              of the energy scale of the absorption spectrum is matched
              to the first peak of the PE spectrum. Considering that the
              PE spectrum was taken in the gas phase and the absorption
              spectrum in solution, the similarity of the spectra is strik-
              ing. Most of the bands that are seen in the optical spectrum
              are also seen in the PE spectrum and vice versa. However,
              the intensities of the bands are different (note that the ab-
              sorption spectrum has a logarithmic intensity scale).
                In spite of the similarities between the PE spectrum
              of a molecule and the optical spectrum of the corre-
              sponding cation, the spectra often yield different types
              of information:

                                                                FIGURE 4 Connection between escape depth (attenuation
                1. The connection described above holds only for
                                                                length) and kinetic energy of the photoelectron. [From Cardona,
              molecules. For extended systems like solids it is no longer  M., and Ley, L., eds. (1978). “Topics in Applied Physics,” Vol. 26,
              valid.                                            “Photoemission in Solids I,” p. 193, Springer-Verlag, Berlin.]
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