Solving the Crystal Structure

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Publish Date: 2009

Volume: , Issue: , Pages: 239-262

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Abstract

As we established in Chaps 7–9 the diffraction pattern of either a single crystal or a polycrystalline material is a transformation of an ordered atomic structure into reciprocal space rather than a direct image of the former and the threedimensional distribution of atoms in a lattice can be restored only after the diffraction pattern has been transformed back into direct space In powder diffraction the situation is complicated by the fact that the diffraction pattern is a onedimensional projection of a threedimensional reciprocal space We have no intention of covering the comprehensive derivation of relevant mathematical tools since it is mainly of interest to experts and can be found in many excellent books and reviews1 Therefore in this chapter we only briefly describe a general approach to the problem of solving the crystal structure

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