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The Sayre equation in electron crystallography

D L Dorset1, S Kopp, J R Fryer

  • 1Electron Diffraction Department, Medical Foundation of Buffalo, Inc., NY 14203.

Ultramicroscopy
|January 1, 1995
PubMed
Summary
This summary is machine-generated.

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The Sayre equation effectively refines crystallographic phases for atomic-resolution structures using electron microscopy. This phase extension technique shows promise for macromolecular crystallography, even with limited data.

Area of Science:

  • Crystallography
  • Electron Microscopy
  • Materials Science

Background:

  • Phase determination is crucial for solving crystal structures.
  • Electron crystallography offers high-resolution structural information.
  • Existing phase refinement techniques have limitations.

Purpose of the Study:

  • To evaluate the Sayre equation for phase refinement in electron crystallography.
  • To assess its utility for phase extension in macromolecular crystallography.
  • To identify challenges and potential solutions for direct phasing techniques.

Main Methods:

  • Applied the Sayre equation to atomic-resolution electron diffraction data.
  • Utilized Fourier transforms of experimental electron micrographs for phase assignment.

Related Experiment Videos

  • Tested phase extension with symbolic addition and zonal data sets.
  • Evaluated performance with polymer and protein crystal data (bacteriorhodopsin, halorhodopsin).

    • Main Results:

    • Achieved atomic-resolution structures through Fourier refinement.
    • Successfully extended phases for polymer crystals with overlapping atomic positions.
    • Demonstrated stable phase extension to 6 Å from 10-15 Å resolution data for proteins.
    • Identified difficulties near 5 Å resolution, but found solutions by treating minima as 'phase nodes'.

    Conclusions:

    • The Sayre equation is a versatile tool for phase refinement and extension in electron crystallography.
    • The convolutional technique is suitable for various applications, including macromolecular studies.
    • Direct phasing techniques show potential for advancing macromolecular electron crystallography.