Chapter 3. Principles of X-Ray Diffraction by a Crystal

  1. Dr. Albrecht Messerschmidt

Published Online: 5 JAN 2007

DOI: 10.1002/9783527610129.ch3

X-Ray Crystallography of Biomacromolecules: A Practical Guide

X-Ray Crystallography of Biomacromolecules: A Practical Guide

How to Cite

Messerschmidt, A. (2007) Principles of X-Ray Diffraction by a Crystal, in X-Ray Crystallography of Biomacromolecules: A Practical Guide, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527610129.ch3

Author Information

  1. Max-Planck-Institue of Biochemistry, Department of Proteomics and Signal Transduction, Research Group: Structural Proteomics, Am Klopferspitz 18, 82152 Martinsried, Germany

Publication History

  1. Published Online: 5 JAN 2007
  2. Published Print: 15 DEC 2007

ISBN Information

Print ISBN: 9783527313969

Online ISBN: 9783527610129

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Keywords:

  • principles of X-ray diffraction by a crystal;
  • rational mathematical representation of waves;
  • simple harmonic oscillations;
  • wavelike propagation of periodic states;
  • scattering of X-rays;
  • atomic scattering factor;
  • reciprocal lattice and Ewald construction;
  • temperature factor;
  • symmetry in diffraction patterns;
  • Patterson function

Summary

This chapter contains sections titled:

  • Rational Mathematical Representation of Waves

    • Simple Harmonic Oscillations

    • Wavelike Propagation of Periodic States

  • Principles of X-Ray Diffraction by a Crystal

    • Scattering of X-Rays by an Electron

    • Scattering of X-Rays by an Atom

    • The Atomic Scattering Factor

    • Scattering of X-Rays by a Unit Cell

    • Scattering of X-Rays by a Crystal

      • One-Dimensional Crystal

      • Three-Dimensional Crystal

    • The Reciprocal Lattice and Ewald Construction

    • The Temperature Factor

    • Symmetry in Diffraction Patterns

    • Electron Density Equation and Phase Problem

    • The Patterson Function

    • Lorentz Factor and Integrated Intensity Diffracted by a Crystal

    • Intensities on an Absolute Scale

    • Resolution of the Structure Determination