Tables for
Volume C
Mathematical, physical and chemical tables
Edited by E. Prince

International Tables for Crystallography (2006). Vol. C, ch. 6.4, p. 610

Section 6.4.6. The finite crystal

T. M. Sabinea

aANSTO, Private Mail Bag 1, Menai, NSW 2234, Australia

6.4.6. The finite crystal

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Exact application of the formulae above requires a knowledge of the shape of the crystal or mosaic block and the angular relation between the reflecting plane and the crystal surface. These are not usually known, but it can be assumed that the average block or crystal at each value of the scattering angle (2θ) has sides of equal length parallel to the incident- and diffracted-beam directions. For this crystal, [ T=D\sin \theta, \ D=\left \langle L\right \rangle, \eqno (]and [ x=N_{{c}}{^2}\lambda{^2}F{^2}\left \langle L\right \rangle {^2}\tanh (\mu L^{*}/2)/(\mu L^{*}/2). \eqno (]The quantity [L^{*}] is set equal to [\ell] for the mosaic block and to L for the crystal.

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