Chapter 1.1 Summary of general formulae

Mathematical, physical and chemical tables

First Online Edition (2006)

Part 1. Crystal geometry and symmetry

  1. E. Koch

Published Online: 1 JAN 2006

DOI: 10.1107/97809553602060000572

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Koch, E. 2006. Summary of general formulae. International Tables for Crystallography. C:1:1.1:2–5.

Author Information

  1. Institut für Mineralogie, Petrologie und Kristallographie, Universität Marburg, Hans-Meerwein-Strasse, D-35032 Marburg, Germany

Publication History

  1. Published Online: 1 JAN 2006


In this chapter, general geometrical formulae are given that describe (i) the relations between the lattice parameters and unit cells in direct and in reciprocal space and (ii) the relations between lattice vectors, point rows and net planes, and allow (iii) the calculation of various angles in direct and in reciprocal space (including the Miller formulae).


  • angles in direct and reciprocal space;
  • basis;
  • direct and reciprocal lattices;
  • lattices;
  • Miller formulae;
  • point rows