CaltechAUTHORS
  A Caltech Library Service

A General Theory of X-ray Intensity Statistics for Twins by Merohedry

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. http://resolver.caltech.edu/CaltechAUTHORS:20150210-100141163

[img] PDF - Published Version
See Usage Policy.

573Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20150210-100141163

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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1107/S056773948200045X DOIArticle
http://scripts.iucr.org/cgi-bin/paper?S056773948200045XPublisherArticle
ORCID:
AuthorORCID
Rees, D. C.0000-0002-1076-1503
Additional Information:© 1982 International Union of Crystallography. Received 24 March 1980; accepted 17 September 1981.
Record Number:CaltechAUTHORS:20150210-100141163
Persistent URL:http://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:21 Nov 2017 19:05

Repository Staff Only: item control page