The magnetic configurations of the cubic perovskite ABO3

Definition:

A perovskite is any material with the same type of crystal structure as calcium titanium oxide (CaTiO₃), known as the perovskite structure, or ^XIIA^2+VIB⁴⁺X²⁻₃ with the oxygen in the face centers.^[2] Perovskites take their name from the mineral, which was first discovered in the Uralmountains of Russia by Gustav Rose in 1839 and is named after Russian mineralogist L. A. Perovski (1792–1856). The general chemical formula for perovskite compounds is ABX₃, where 'A' and 'B' are two cations of very different sizes, and X is an anion that bonds to both. The 'A' atoms are larger than the 'B' atoms. The ideal cubic structure has the B cation in 6-fold coordination, surrounded by an octahedron of anions, and the A cation in 12-fold cuboctahedral coordination. The relative ion size requirements for stability of the cubic structure are quite stringent, so slight buckling and distortion can produce several lower-symmetry distorted versions, in which the coordination numbers of A cations, B cations or both are reduced.


Reference: https://en.wikipedia.org/wiki/Perovskite_(structure)


For more information about the perovskites click on the following link:

https://nvlpubs.nist.gov/nistpubs/jres/58/jresv58n2p75_A1b.pdf




Crystallography of The Perovskite Structure

Reference: http://abulafia.mt.ic.ac.uk/publications/theses/levy/Chapter3.pdf

                   https://arxiv.org/ftp/cond-mat/papers/0506/0506606.pdf


Magnetic configurations of the cubic perovskites


The magnetic atom will be even a A cation or B cation. In both cases, the A cation or the b atoms forms a simple cubic sublattice. So the different magnetic configurations for the simple cubic sublattice are called: A-type, C-type and G-type as mentionned in the following picture:

Reference: http://sci-hub.hk/10.1016/j.jmmm.2011.04.016