Method of moments in analysis of x-ray diffraction lines |
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| Authors: | A Fingerland |
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| Institution: | (1) Inst. of Tech. Phys. Czech. Acad. Sci., Prague |
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| Abstract: | A general relation between the moments of the functionsf,g, andh, in the integral equationh(x)= f(y)g(x–y) dy, is derived. This enables any moment of the unknown functionf to be calculated from the moments of the functionsg andh. In particular, if certain assumptions are fulfilled, the moments of the components of the doublet can be calculated with advantage from the moments of the total profile. The statistical significance of the moment characteristics is also emphasized.
                     
                     f, g, h     h(x)=f(y)g(x–) dy,   f   g h.   , . .
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