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Extra resources for X-Ray Multiple-Wave Diffraction: Theory and Application

Sample text

5, involves a monochromator using the M reflection, then the polarization factor Gi,j (m) takes the following form [232]: 1[(1 - G .. 21) where i = G I , j = G 2 , and m = j - i. 0: and ¢ are the Bragg angle of the M reflection of the monochromator and the angle between the normals to the monochromator and the first plane of incidence, respectively. If there is no monochromator (0: = 0), then the polarization factor becomes [230,231] Gi,j (m) 1 = 2" [cos 2 2Bi + cos 2 2Bj + (cos 2Bm - cos 2Bi cos 2Bj )2] .

The diffraction from this kind of crystals also suffers intensity decrease, the so-called secondary extinction, due to successive reflections in each of the tiny mosaic blocks, although each block diffracts incoherently. Similar to the primary extinction, the secondary extinction is stronger for a stronger reflection. The intensity correction due to secondary extinction is governed by the standard deviation rt of the block tilts. The larger the standard deviation, the more severe the correction.

5) holds, all the reciprocal lattice points and wavevectors are coplanar. There is only one specific wavelength at which multiple-wave diffraction can take place. This diffraction is called 'coplanar coincidental diffraction', or simply 'coplanar diffraction' [340]. 5) does not hold, then the coincidental diffraction is noncoplanar. In this case, the involved reciprocal lattice points do not lie in one great circle but are distributed three-dimensionally on the surface of the Ewald sphere. The occurrence of all the N-wave diffractions with N ~ 2, according to the equations given above, depends on the lattice constants, the wavelength of radiation, and the crystal-lattice symmetry.

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