Chapter 3.2 The least-squares plane

Reciprocal space

First Online Edition (2006)

Part 3. Dual bases in crystallographic computing

  1. R. E. Marsh1,
  2. V. Schomaker2

Published Online: 1 JAN 2006

DOI: 10.1107/97809553602060000560

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Marsh, R. E. and Schomaker, V. 2006. The least-squares plane. International Tables for Crystallography. B:3:3.2:353–359.

Author Information

  1. 1

    The Beckman Institute–139–74, California Institute of Technology, 1201 East California Blvd, Pasadena, California 91125, USA

  2. 2

    Department of Chemistry, University of Washington, Seattle, Washington 98195, USA

Publication History

  1. Published Online: 1 JAN 2006


The calculation of least-squares planes based on uncorrelated, isotropic weights and of proper least-squares planes with Gaussian weights is described.


  • least-squares planes;
  • planes;
  • weights;
  • standard uncertainties;
  • proper least-squares planes;
  • Gaussian weights;
  • general Gaussian planes