1.5 Magnetic properties

Volume D. Physical properties of crystals

Second Online Edition (2013)

Part 1. Tensorial aspects of physical properties

  1. A. S. Borovik‐Romanov1,†,
  2. H. Grimmer2,3,‡,§,
  3. M. Kenzelmann3,§

Published Online: 19 DEC 2013

DOI: 10.1107/97809553602060000904

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Borovik‐Romanov, A. S., Grimmer, H. and Kenzelmann, M. 2013. Magnetic properties. International Tables for Crystallography. D:1:1.5:106–152.

Author Information

  1. 1

    P. L. Kapitza Institute for Physical Problems, Russian Academy of Sciences, Kosygin Street 2, 119334 Moscow, Russia

  2. 2

    Labor für Neutronenstreuung, ETH Zurich, Switzerland

  3. 3

    Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland

  1. P. L. Kapitza Institute for Physical Problems, Russian Academy of Sciences, Kosygin Street 2, 119334 Moscow, Russia

  2. Labor für Neutronenstreuung, ETH Zurich, Switzerland

  3. §

    Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland

Publication History

  1. Published Online: 19 DEC 2013



This chapter gives a short review of the structure and some properties of magnetic substances that depend mainly on the symmetry of these substances. Aspects related to the magnetic symmetry receive the most emphasis. The magnetic symmetry takes into account the fact that it is necessary to consider time inversion in addition to the usual spatial transformations in order to describe the invariance of the thermodynamic equilibrium states of a body. The first part of the chapter is devoted to a brief classification of disordered and ordered magnetics. The classification of ferromagnets according to the type of the magnetic structure is given in Section In Section, the antiferromagnets are classified by the types of their magnetic structures: collinear, weakly non‐collinear and strongly non‐collinear antiferromagnets. Incommensurate structures are briefly mentioned in Section Section 1.5.2 is devoted to magnetic symmetry. Different types of magnetic point (Section and magnetic space (Section groups are defined. The 22 magnetic Bravais lattices are displayed in Section The transition from the paramagnetic state into the magnetically ordered state entails a transition from one magnetic group into another. These transitions are considered in Section 1.5.3. The domain structure of ferromagnets and antiferromagnets is considered in Section 1.5.4, where 180° and T‐domains are described. Non‐collinear antiferromagnetic structures (weakly ferromagnetic, non‐collinear and non‐coplanar antiferromagnetic structures) are described in Section 1.5.5. Besides the magnetic phase transition from the disordered into the ordered state, there exist transitions from one magnetic structure into another. Those of these that are obtained by a rotation of the ferromagnetic or antiferromagnetic vector relative to the crystallographic axis are called reorientation transitions and are analysed in Section 1.5.6. Sections 1.5.7 and 1.5.8 are devoted to phenomena that can be (and were) predicted only on the basis of magnetic symmetry. These are piezomagnetism (Section 1.5.7) and the magnetoelectric effect (Section 1.5.8). In Section 1.5.9, the magnetostriction in ferromagnets is briefly discussed.


  • Bravais lattices;
  • Gaussian system of units;
  • Landau theory;
  • S‐domains;
  • SI units;
  • angular phase;
  • anisotropy energy;
  • antiferromagnetic ferroelectrics;
  • antiferromagnetic helical structures;
  • antiferromagnetic phases;
  • antiferromagnetic structures;
  • antiferromagnetic vectors;
  • antiferromagnets;
  • diamagnets;
  • domains;
  • easy‐axis magnetics;
  • easy‐plane magnetics;
  • exchange energy;
  • exchange symmetry;
  • ferrimagnets;
  • ferroelectric antiferromagnets;
  • ferroelectric materials;
  • ferroic domains;
  • ferromagnetic ferroelectrics;
  • ferromagnetic materials;
  • ferromagnetic vectors;
  • ferromagnetism;
  • ferromagnets;
  • helical structures;
  • incommensurate structures;
  • magnetic Bravais lattices;
  • magnetic anisotropy energy;
  • magnetic birefringence;
  • magnetic fields;
  • magnetic induction;
  • magnetic lattices;
  • magnetic point groups;
  • magnetic space groups;
  • magnetic susceptibility;
  • magnetic symmetry;
  • magnetoelastic energy;
  • magnetoelectric effect;
  • magnetostriction;
  • paramagnets;
  • phase transitions;
  • piezomagnetic effect;
  • relativistic interactions;
  • reorientation transitions;
  • spin flip;
  • spin flop;
  • spontaneous magnetization;
  • spontaneous magnetostriction;
  • time inversion;
  • twin domains;
  • uniaxial antiferromagnets;
  • uniaxial ferromagnets