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Mean phase error and the map-correlation coefficient.

V Y Lunin1, M M Woolfson

  • 1Institute of Mathematical Problems of Biology, Moscow Region, Pushchino, Russia.

Acta Crystallographica. Section D, Biological Crystallography
|November 1, 1993
PubMed
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Two common criteria for assessing crystal structure solution methods, mean phase error and map correlation, are directly related. This allows calculating map correlation from phase errors without generating a map, aiding crystal structure analysis.

Area of Science:

  • Crystallography
  • Structural Biology
  • Materials Science

Background:

  • Evaluating crystal structure solution methods relies on mean phase error and map correlation.
  • Map correlation quantifies similarity between estimated and true phase maps.

Purpose of the Study:

  • To demonstrate the direct relationship between mean phase error and map correlation coefficient.
  • To provide a method for calculating map correlation without map generation.

Main Methods:

  • Mathematical derivation of the relationship between phase errors and map correlation.
  • Analysis of weighted phase errors and their impact on map correlation.
  • Investigation of phase extension effects on map correlation.

Main Results:

Related Experiment Videos

  • Established a direct mathematical link between mean phase error and map correlation.
  • Showed map correlation can be computed directly from individual phase errors.
  • Identified conditions for improved map correlation via phase extension, balancing data quantity and quality.

Conclusions:

  • The direct relationship simplifies evaluation of crystal structure solution techniques.
  • Calculating map correlation from phase errors offers computational efficiency.
  • Optimizing phase extension requires careful consideration of data accuracy.