Book

The Crystalline State (1934)

by William Lawrence Bragg

Summary

William Lawrence Bragg's "The Crystalline State (1934)" establishes the central thesis that the arrangement and symmetry of atoms within crystals can be precisely determined and understood through the analysis of X-ray diffraction patterns. This groundbreaking work consolidates the understanding of crystallography as a quantitative science, demonstrating how the interpretation of these patterns reveals the three-dimensional structure of crystals.

The book details the principles and experimental techniques of X-ray crystallography, explaining how the scattering of X-rays by the electron clouds of atoms produces characteristic diffraction patterns. Readers learn how these patterns are mathematically analyzed to deduce the positions of atoms, identify crystal lattices, and classify crystal symmetries. This provides a fundamental understanding of the relationship between atomic structure and macroscopic crystalline properties.

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Key concepts

  • X-ray DiffractionThe scattering of X-rays by atoms in a crystal lattice, producing a pattern that reveals structural information.
  • Bragg's LawAn equation that describes the condition for constructive interference of X-rays reflected from crystal planes.
  • Crystal LatticeA three-dimensional arrangement of atoms, ions, or molecules in a crystal, characterized by repeating units.
  • Space GroupA mathematical description of the symmetry operations that leave a crystal lattice unchanged.
  • Atomic Scattering FactorA measure of how strongly an atom scatters X-rays, dependent on the number of electrons it possesses.