Rees, D. C. (1982) A General Theory of X-ray Intensity Statistics for Twins by Merohedry. Acta Crystallographica. Section A, Foundations of Crystallography, 38 (2). pp. 201-207. ISSN 0108-7673. doi:10.1107/S056773948200045X. https://resolver.caltech.edu/CaltechAUTHORS:20150210-100141163
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Abstract
A general theory of X-ray intensity statistics for twins by merohedry is developed based on mathematical analogy of this problem to a one-dimensional random walk. Probability distribution functions are derived (a) for intensities from a single twinned specimen, and (b) for the differences in intensities from two separate twinned specimens. Theoretical values of a discrepancy index between observed intensities from a twin, and calculated intensities from both correct and incorrect structural models are evaluated. A new method for determining volume fractions of crystals in a twin is also proposed, based on the distribution of differences in intensities between twin-related reflections. These results have implications for the treatment of isomorphous replacement data collected from twins by hemihedry.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1982 International Union of Crystallography. Received 24 March 1980; accepted 17 September 1981. | |||||||||
| Issue or Number: | 2 | |||||||||
| DOI: | 10.1107/S056773948200045X | |||||||||
| Record Number: | CaltechAUTHORS:20150210-100141163 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20150210-100141163 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 54652 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | SWORD User | |||||||||
| Deposited On: | 11 Feb 2015 00:05 | |||||||||
| Last Modified: | 10 Nov 2021 20:36 |
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