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Magnetism of Extended Arrays in Inorganic Solids

  1. Christopher P. Landee,
  2. Mark M. Turnbull

Published Online: 15 MAR 2006

DOI: 10.1002/0470862106.ia124

Encyclopedia of Inorganic Chemistry

Encyclopedia of Inorganic Chemistry

How to Cite

Landee, C. P. and Turnbull, M. M. 2006. Magnetism of Extended Arrays in Inorganic Solids. Encyclopedia of Inorganic Chemistry. .

Author Information

  1. Clark University, Worcester, MA, USA

Publication History

  1. Published Online: 15 MAR 2006


The dominant magnetic interaction in insulators is magnetic exchange. This quantum mechanical effect arises from the overlap of wavefunctions of two different paramagnetic centers, either directly (direct exchange) or through an intervening ligand (superexchange). The associated exchange energy is electrostatic in origin but formally equivalent to the difference between the single and triplet states for the two interacting electrons. Magnetic exchange, plus other effects arising from the orientation of an electronic moment to the lattice through spin-orbit coupling, leads to a wide variety of magnetic behavior, as illustrated with examples of magnetically one-dimensional lattices.


  • magnetic exchange;
  • Heisenberg-;
  • Ising- and XY-systems;
  • antiferromagnetism;
  • ferromagnetism;
  • ferrimagnetism