By Leet, Uang, Gilbert

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Long-range correlations: molecular solids Another example that illustrates the notion of local vs. 4(a)). c. 2 This behavior was first seen in another local technique, XAFS (Mikkelson and Boyce, 1982); however, the PDF study reveals the intermediate range order and gives a more complete structural solution. 2. PDFs in the form G(r) = 4"rrr(p(r) - P0) from Inl-xGaxAs alloys. Data were measured from highenergy X-ray diffraction data at Cornell High Energy Synchrotron Source (CHESS) at 10 K. , 2001).

Let us examine the case when q is sufficiently small and T is large so that hoJj(q) << kT. 29) In this case, ([Quql2) ~ 2--M1Z . 30) Thus the TDS intensity is proportional to T. From Eq. 27 it is clear that when q is parallel is observed, while when q is perpendicular to Q to Q only the longitudinal mode (r only the transverse mode (r _L q) is observed. The TDS intensity in each case depends only on the sound velocity of each mode. Since the TDS intensity is proportional to q - 2 and diverges toward q = 0, it is strong only around the Bragg peak.

2 Sample scattering amplitude For the most part of this book, we need a surprisingly small amount of basic theoretical background. 1). For elastic scattering /~init - '~,final, thus the magnitude of Q is given by Eq. 6) where k = ]kinitI --]kfina 11. In Eq. e. -) represents a compositional 1 The concept of the scattering cross-section is a very useful one which relates a sample dependent property (the probability of a particular scattering event occurring) to a real experimental value (the number of detected counts in a detector).