Table 1 Spin arrangements of the Fe i ions with \(\overrightarrow{k}=0\). First four columns give relative spin orderings of Fe i spins. The last column gives the irreducible representations (IR) according to which the components x, y, and z of the order parameters transform, respectively.

From: Linear magnetoelectric effect in göthite, α-FeOOH

Fe1

Fe2

Fe3

Fe4

Order parameter

IR’s

+

+

+

+

\(\overrightarrow{F}\)

Γ2+, Γ3+, Γ4+

+

+

\(\overrightarrow{G}\)

Γ1−, Γ4−, Γ3−

+

+

\(\overrightarrow{C}\)

Γ3+, Γ2+, Γ1+

+

+

\(\overrightarrow{A}\)

Γ4−, Γ1−, Γ2−