Types of antiferromagnetism

It is often mentioned A,C,G types of antiferromagntism (AFM). However, the real magnetic moment alignments are not so obvious from those terms. The following is a short explaination.

First of all, these type reference to AFM structure of a cubic (or quasi cubic) spin lattice. It does not apply to other kind of spin lattice (e.g. triangular spin lattice)

A type refers to the spins alignment having parallel orientation within the (001) plane, but anti-parallel orientation  between the planes. k=(0,0,1/2)

C type refers to the spin alignment having parallel orientation with the (001) chain, but anti-parallel orientation between the chains. k=(0,1/2,1/2)

G type refers to the spin alignment in which all the nearest neighbor alignment is antiparallel. In other words, every spin is surrounded by 6 spin with opposite orientation relative to the center spin. k=(1/2,1/2,1/2)?

E type is difficult to describe. It is shown in the picture. k=(1/2,1/2,1/2)?