Hexagonal manganites RMnO3 (R=Sc, Y, Ho, Er, Tm, Yb) are compounds in which a ferroelectric and an antiferromagnetic order may coexist. The ferroelectric crystal structure is well known but theoretical studies show that there are different possibilities for the spin structure. By means of polarization- and temperature-dependent second-harmonic spectroscopy it is possible to determine the magnetic structure of RMnO3 compounds.
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Fröhlich et al. (1999) studied this question.