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The behavior of the width of X-ray Bragg peaks recorded from dislocated crystals has been investigated both numerically and experimentally. Numerical simulations based on the Wilkens model of a restrictedly random dislocation distribution have shown that the width of the X-ray peaks increases linearly in the  modified  Williamson-Hall ( m WH) plot. The slope of the line is proportional to the square root of the average dislocation density. The method has been used to evaluate the dislocation densities in two texture components of a hot-deformed Al-2.5 wt.% Mg alloy, where peak broadening has additional sources.

Behavior of X-ray peak widths in the Wilkens model of a restrictedly random distribution of dislocations