Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On integrating the techniques of direct methods and SIRAS: the probabilistic theory of doublets and its applications

On integrating the techniques of direct methods and SIRAS: the probabilistic theory of doublets... The mathematical formalism of direct methods is here applied to the SIRAS (single‐isomorphous replacement combined with anomalous scattering) case. Specifically, the joint probability distribution of three structure factors, which plays the central role in the probabilistic theory of the two‐phase structure invariants (doublets), is derived. This distribution leads directly to the conditional probability distribution of the two‐phase structure invariants, given the values of selected sets of magnitudes. Furthermore, a probabilistic formula for estimating individual phases of the derivative structure is derived, provided that the heavy‐atom substructure is assumed to be known. The formulas were tested for experimental SIRAS data and results are reported. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Crystallographica Section A Foundations of Crystallography Wiley

On integrating the techniques of direct methods and SIRAS: the probabilistic theory of doublets and its applications

Loading next page...
 
/lp/wiley/on-integrating-the-techniques-of-direct-methods-and-siras-the-ImEY6azixn

References (11)

Publisher
Wiley
Copyright
Copyright © 2003 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0108-7673
eISSN
1600-5724
DOI
10.1107/S0108767302022304
Publisher site
See Article on Publisher Site

Abstract

The mathematical formalism of direct methods is here applied to the SIRAS (single‐isomorphous replacement combined with anomalous scattering) case. Specifically, the joint probability distribution of three structure factors, which plays the central role in the probabilistic theory of the two‐phase structure invariants (doublets), is derived. This distribution leads directly to the conditional probability distribution of the two‐phase structure invariants, given the values of selected sets of magnitudes. Furthermore, a probabilistic formula for estimating individual phases of the derivative structure is derived, provided that the heavy‐atom substructure is assumed to be known. The formulas were tested for experimental SIRAS data and results are reported.

Journal

Acta Crystallographica Section A Foundations of CrystallographyWiley

Published: Jan 1, 2003

Keywords: ; ; ;

There are no references for this article.