Abstract
The first half of this chapter is devoted for describing: 1) a brief history of profile functions in both neutron and X-ray powder diffractions, 2) the relation between the Voigt and pseudo-Voigt functions and that between the pseudo-Voigt and Pearson VII functions, 3) the methods of asymmetrizing the symmetric profile function, and 4) the effect of profile-function truncation in powder pattern fitting. In the latter half of this chapter, the theory and application of the pattern decomposition method are described. Examples are pattern decompositions by using the individual profile fitting method and the Pawley method, The use of convolution function in pattern fitting derives the physically meaningful information from the profile shape. A sophisticated example of whole-powder-pattern fitting using a lattice-direction-dependent profile-width-model is given.
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