On the instrumental broadening correction in integral breadth analysis of x-ray line profiles from cold-worked alloys

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Abstract
The observed diffiraction line profile from cold-worked materials is a convolution of instrumental profile and true profile resulting from the effects of lattice imperfections. In integral breadth analyses these profiles are usually described by Gaussian or Cauchy distribution functions. In order to examine the exact nature of instrumental and also true profile, several combinations of Gaussian and Cauchy forms have been considered following linewidth relations of Ruland in some filed copper- and silver-base alloys and the results have been compared with those of Fourier analysis along with integral breadth analyses where the instrumental profile takes an intermediate form. Comparing the results it is concluded that the instrumental profile is best approximated by a Gaussian or intermediate parabolic form.