Theory of Inelastic Scattering

Rez, P. (1976) The Theory of Inelastic Scattering in the Electron Microscopy of Crystals, PhD thesis, St. Catherine s College, Oxford, Oxford. 

E.E.Nikitin, Many-tiajectory semiclassical approximation in the theory of inelastic scattering of slow heavy particles, Khim. Fiz. 1, 867 (1982)... 

We start the discussion of the theory of inelastic scattering by first quoting the basic equation that relates the double differential scattering cross section to the structure and motion of nuclei in the scattering system. Unfortunately the derivation of this fundamental equation requires the use of quantum mechanics much beyond the scope of this book. The scattering system is characterized by the positions rft) of all the nuclei (j = 1,. . . , N) in it as a function of t. The equation we take as the starting point of our discussion is then... 

The paper Molecular collisions. VIII is a landmark in the theory of inelastic scattering of molecules because it was the first to bring together two of the most useful... 

The quantum theory of reactive scattering is not as highly developed as for inelastic scattering. No generally applicable algorithm has yet been perfected, particularly for three-dimensional reactions. However, many promising approaches are being explored. 

As previously mentioned, the evanescent wave could interact with the optically rare medium not only by being absorbed but also by being scattered either elastically (Rayleigh Scattering) or inelastically (Raman Scattering). Because it is not within the scope of this paper to review the complete history and theory of Raman scattering, further information is indicated in Ref. 

The sum on the right hand side of Eq. (7.67) corresponds to the second term in the bracket of Eq. (7.66). Kawabata s calculation did not include the size of the sample, which Mott and Kaveh (1985) add as the factor (1 — a /L), reasoning that when the elastic scattering length is comparable to L, then the multiple scattering is reduced. Furthermore, in the presence of inelastic scattering, the term L is replaced by L for the same reason as the substitution was made in the scaling theory, that the coherence of the wavefunction is lost. 

Obviously, theory of vibrationally inelastic electron scattering is open to all complications that have been encountered in the theory of elastic electron scattering1,2,21. In contrast to the electronic structure theory, we do not have in the theory of electron scattering any standard procedures as configuration interaction, Mpller-Plesset theory or coupled clusters, not speaking about the... 

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