A truncation procedure has been proposed to circumvent certain practical and theoretical difficulties in the calculation of the moments of diffraction line profiles.The theory of the analysis of line profiles by the method of moments is reviewed. A rigorous formula tion of the truncation procedure is given and the truncation error is estimated. An analytic represen tation of the spectral profile of Ka doublets is derived so that the spectral characteristics needed. for the analysis of line profiles can be obtained.
Mass absorption coefficient data published by Allen, Bragg, and Victoreen for the wavelength region 0.1 to 50 A are plotted for several common x-ray tube and counter windows (Al, Be, and mica) and gases (Xe, Kr, A, and Ne) used in x-ray detectors. A graph of the calculated percentage transmission of the windows is presented. The calculated quantum-counting efficiencies for the range 0.1 to 15 A are shown for an end-window argon-filled Geiger counter, side-window Xe, Kr, A, and Ne proportional counters and an NaI·Tl scintillation counter. Some of the factors to be considered in the choice of detectors for x-ray diffractometry and x-ray spectroscopy are discussed particularly with respect to the spectral sensitivity.
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