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- W2034079957 abstract "A critical survey is given of the operations necessary to evaluate the moments of the probability density function P(R2). The failure of existing theories to give σ(R2) is traced to the fact that averaging over all reflections is only equivalent to averaging over the set of coordinates of a model for an infinite data set. With the help of conditional probabilities the difficulties are overcome and formulas are derived for the first and second moments as a function of the size of the model. The formulas are valid in space group P1 for two extreme cases, viz a completely incorrect and a completely correct model. Incorporation of observed intensities enables one to obtain accurate a priori estimates of (R2) and σ(R2). The theory agrees very well with simulated experiments. It is demonstrated that R2 and Rn2 have equal resolving power." @default.
- W2034079957 created "2016-06-24" @default.
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- W2034079957 date "1983-07-01" @default.
- W2034079957 modified "2023-09-26" @default.
- W2034079957 title "Moments of the probability density function of<i>R</i><sub>2</sub>approached<i>via</i>conditional probabilities. I. Development of the theory for<i>P</i>1" @default.
- W2034079957 doi "https://doi.org/10.1107/s0108767383001063" @default.
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