Abstract
This paper examines the dependence of experimental noise in the X-ray rocking-curve experiment on the measured intensity, and develops a procedure for the use of this noise characteristic as a weight function for the optimization and analysis of calculated fits to the rocking-curve pattern. The width of the noise distribution at a given experimental condition is shown to provide a measurement of the reliability of the individual data points, which can be used to attain a statistically unbiased fit to the data. A theoretical model of the dependence of the noise on measured intensity is developed, based on the well known binomial distribution, and the conditions for applicability of this model are discussed. This theoretical noise characteristic is compared to several empirical models and is shown to provide both an excellent estimate of the measured noise and enhanced fits to experimental rocking curves.
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