Quantum Mechanical Scattering Theory
In this chapter we are concerned with excitations from inner shells of atoms. They give rise to absorption edges in Energy Loss Spectroscopy (ELS) similar to the well-known X-ray absorption edges (Fig. 2.1). In general these edges occur at energies E ≥ 50 eV for most elements, which is far beyond the interaction energy of valence electrons in the solid state. So, it is justified to treat these target electrons as bound to single nuclei, not interacting with other atoms. (The fact that the wave functions of inner shell electrons of adjacent atoms show negligible overlap is indicative for their relative isolation. However, even a K-shell electron in Na, strongly bound to the nucleus, has a mean dwell time of 5 days at a particular site [2.2]—so there is, in fact, faint interaction).
KeywordsDifferential Cross Section Partial Wave Scatter Cross Section Dynamical Structure Factor Billiard Ball
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