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research papers
The Edgeworth series model for the modification of diffraction peak shapes because of axial divergence is compared with the peak shapes computed by a numerical convolution method that is computationally slow. It is shown that if the width of an approximately Gaussian instrumental peak shape is comparable with the width of the modifying function, a condition that is generally satisfied in fixed-wavelength neutron diffraction and in many laboratory X-ray diffraction instruments, but not with synchrotron X-ray instruments, the Edgeworth model is nearly identical to the convolution model, while the computation is much simpler.