Strain Broadening Caused by Dislocations

Abstract

Numerous experiments have shown that strain broadening caused by dislocations can be well described by a special logarithmic series expansion of the Fourier coefficients of Bragg reflection peak profiles. In the present work it will be shown that this formalism can be incorporated into the classical methods of Williamson-Hall and Warren-Averbach. The new procedures are suggested to be called modified Williamson-Hall and modified WarrenAverbach methods, respectively. Based on the examples of a submicron grain size copper specimen and a ball-milled iron powder sample it is going to be shown that the modzjied methods can yield physically well justified data for particle size, dislocation densities and twinning and faulting.