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E. a phase difference of IK. ABX, on the other hand, has a phase difference of n, so that the troughs of one wave coincide with the crests of the other, giving a resultant null as shown in Fig. 4. The intermediate case (along direction C) and the consequent formation of a composite wave are also given in this diagram. electron 3 Incident X-rays Wavefront Transmitted X-rays Difference between starting positions in direction A Fig. 6 Interference and scattering from three electrons. 2 Interference and Diffraction of Scattered X-Rays 21 Let us now examine the more complex case of Fig.

Vol. II, p. 423, Maruzen, Tokyo (1961) (in Japanese). 13. P. Debye, H. Menke, Phys. , 31, 798, Verlag von S. Hirzel (1930). 14. B. E. Warren, H. Knitter, O. Moringstar, J. Am. Ceramic Soc, 19, 202 (1936). 15. R. B. P. MacRae, Conformation in Fibrous Proteins and Related Synthetic Polymers, p. 9, Academic Press, N. Y. (1973). 16. P. Scherrer, Gottinger Nachrichten, 2, 98 (1918). 17. F. W. Jones, Proc. Roy. Soc. (London), A166, 16 (1938). 3. 9. The relative positions of atoms within a unit cell are constant from cell to cell, so that any one atom in the assemblage of atoms within the cell, or indeed any fixed point in its vicinity, can act as a representative point in defining the cell's location within the crystal.

What this does not take into account, however, is the fact that diffracted X-ray intensities ultimately depend upon interference between pairs of atoms as in Eq. 20. The trouble arises because the vectors rjk for atoms of the same molecule are indistinguishable from those between atoms of different molecules, so that it is impossible to attach a non-ambiguous meaning to a distribution P{r) of our "representative" points. This renders a rigorous calculation of the second term in Eq. 20 extremely difficult.

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