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Additional info for Advances in Chemical Physics: Aspects of the Study of Surfaces, Volume 27
Moreover, we found in (2) and (4) that electrons of a given energy exhibit much larger cross-sections (a- 10- l6 cm2) for low-energy valence-electron excitation than for core-electron impact ionization. We see, therefore, that the selection of the means to use in exciting Auger spectra depends on the requirements of sensitivity, signal-to-background ratio, and nondestructiveness imposed on the experiment under consideration. lZ7 cause low-energy side bands associated with the prominent Auger lines; the absence of an adequate description of the multiplet fine structure of both the initial core hole and final pair of core holes66*67,69; the occurrence of Coster-Kronig transitions that modify the initial distribution of core holes prior to the Auger event62963; and the angular dependence of the cross-sections involved in the excitation and emission p r o c e s ~ e s .
We use in (17) a notation for the various profiles in which subscripts designate the beam indices, superscripts indicate the variables held constant by definition, and the quantity in parentheses is the running variable for the profile in question. Finally, we see that the elastic “intensity profile” (see Fig. 7) is the inelastic “energy profile” for w ~ 0 . 2. Definition of the Analysis Problem Having described the modes of displaying the intensity data, we now can examine the issues involved in their interpretation.
To extract surface geometries, atomic thermal displacements, or surface plasmon dispersion from mea- 42 C . B. DUKE sured intensities) an analytical procedure is constructed together with a corresponding error analysis. During the remainder of this part we describe the performance of the first two steps in the simplest and broadest of terms. Then in Part IV we examine step 1 in more detail. A thorough discussion of steps 2 and 3 for ELEED and ILEED is given in Part V and VI, respectively. Finally, the analytical procedures for use in surface crystallography and in the determination of surface plasmon dispersion are developed in Parts VII and VIII.