The dynamical theory in the case of perfect collinear antiferromagnetic crystals

Schlenker, M.; Guigay, J. P.

doi:10.1107/97809553602060000571

International
Tables for
Crystallography
Volume B
Reciprocal Space
Edited by U. Shmueli

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International Tables for Crystallography (2006). Vol. B. ch. 5.3, p. 561 | 1 | 2 |

Section 5.3.3.4. The dynamical theory in the case of perfect collinear antiferromagnetic crystals

M. Schlenker^a ^* and J.-P. Guigay^a,^b

^aLaboratoire Louis Néel du CNRS, BP 166, F-38042 Grenoble CEDEX 9, France, and ^bEuropean Synchrotron Radiation Facility, BP 220, F-38043 Grenoble, France
Correspondence e-mail: schlenk@polycnrs-gre.fr

5.3.3.4. The dynamical theory in the case of perfect collinear antiferromagnetic crystals

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In this case, there is no average magnetization $[({\bf Q}_{{\bf 0}} = 0)]$ . It is then convenient to choose the quantization axis in the direction of $[{\bf Q}_{{\bf h}}]$ and $[{\bf Q}_{-{\bf h}}]$ . The dispersion surface degenerates into two hyperbolic surfaces corresponding to each polarization state along this direction for any orientation of the diffraction vector relative to the direction of the magnetic moments of the sublattices. These two hyperbolic dispersion surfaces have the same asymptotes. Furthermore, in the case of a purely magnetic reflection, they are identical.

The possibility of observing a precession of the neutron polarization in the presence of diffraction, in spite of the fact that there is no average magnetization, has been pointed out by Baryshevskii (1976).

References

Baryshevskii, V. G. (1976). Particle spin precession in antiferromagnets. Sov. Phys. Solid State, 18, 204–208.Google Scholar

International Tables for Crystallography (2006). Vol. B. ch. 5.3, p. 561