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Calculation of interplanar spacings and angles

  • K. W. Andrews
  • D. J. Dyson
  • S. R. Keown

Abstract

Although there are tabulations of lattice spacings37 and parameters38,39 which assist the identification of unknown materials, it is equally necessary, especially with spot patterns, to have tables of interplanar and interzonal angles. It is often found useful to re-arrange or extend tables of spacings. Table 1 summarizes the formulae used to obtain any d-spacing or angle. Tables 2 to 7 show applications of these formulae to give the angles between certain planes in the tetragonal and hexagonal systems, and cover a wide range of interaxial ratios. Tables 3 and 7 are included in Part 2 because they are specific examples of the general tables. Table 9 covers all the angles between crystallographic planes in the cubic crystal system for h, k and l ≦ 5. Massalski and King40,41 have published tables for quick calculation of d-spacings in the tetragonal and hexagonal systems for given c/a ratios. Cubic d-spacings can be easily calculated to slide-rule accuracy.

Keywords

Lattice Spacings37 Graphic Plane Electron Diffraction Pattern Interplanar Spacing Crystal System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© K. W. Andrews, D. J. Dyson, and S. R. Keown 1967

Authors and Affiliations

  • K. W. Andrews
    • 1
  • D. J. Dyson
    • 1
  • S. R. Keown
    • 1
  1. 1.The United Steel Companies LtdRotherhamUK

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