Classifications of magnetic structures

Opęchowski, W.; Dreyfus, Tommy

doi:10.1107/s0567739471001025

Cited by 23 publications

(18 citation statements)

References 3 publications

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“…Magnetic-group elements have been denoted by (F,A) where F=(RIV) and A is either the identity E or time inversion E' (Opechowski & Dreyfus, 1971 where 5g = det R, eA = + 1 if A = E and ea = -1 if A = E', that is, are a special case of spin-group elements…”

Section: Spin Groupsmentioning

confidence: 99%

The symmetry of the spin-density Patterson function

Литвин¹

1974

Acta Cryst Sect A

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P. M. DE WOLFF 785smooth nature of the modulation functions f~(x4) or u~(r) from § 5. As stated earlier, the continuity of these functions is an essential feature of modulated structures.The author is greatly indebted to Dr Tuinstra (Delft) and to Professor Janner and Dr Janssen (Nijmegen) for reading and most helpfully criticising the manuscript. Generalized space groups are defined to describe the symmetry of a spin-density Patterson function due to the spin-group (generalized magnetic group) symmetry of a spin arrangement. The information on spin arrangements obtainable from the generalized space-group symmetry of a spin-density Patterson function is discussed. It is shown that one cannot infer from the symmetry of the spin-density Patterson function the characteristic spin-group symmetry of a spiral spin arrangement, and an alternate method of doing so is given. References

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Section: Spin Groupsmentioning

confidence: 99%

The symmetry of the spin-density Patterson function

Литвин¹

1974

Acta Cryst Sect A

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“…The first symmetry considerations of magnetic structures used magnetic space groups (Shubnikov groups) [22,23]. An alternative was proposed by Bertaut [24].…”

Section: Representations Of Space Groups and Superspace Groupsmentioning

confidence: 99%

Development of Symmetry Concepts for Aperiodic Crystals

Janssen

2014

Symmetry

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An overview is given of the use of symmetry considerations for aperiodic crystals. Superspace groups were introduced in the seventies for the description of incommensurate modulated phases with one modulation vector. Later, these groups were also used for quasi-periodic crystals of arbitrary rank. Further extensions use time reversal and time translation operations on magnetic and electrodynamic systems. An alternative description of magnetic structures to that with symmetry groups, the Shubnikov groups, is using representations of space groups. The same can be done for aperiodic crystals. A discussion of the relation between the two approaches is given. Representations of space groups and superspace groups play a role in the study of physical properties. These, and generalizations of them, are discussed for aperiodic crystals. They are used, in particular, for the characterization of phase transitions between aperiodic crystal phases.

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“…Another possibility is that the symmetry operations are separated into ones that act on the atomic positions (geometric space) and others that affect the physical characteristic (non-geometric oeprations). These were termed spin groups or spin-space groups depending on the authors (Belov and Tarkhova, 1956;Naish, 1962;Kitz, 1965;Brinkman and Elliot, 1966;Opechowski and Dreyfus, 1971;Landau and Lifshitz, 1957).…”

Section: Generalisation To the Coloured Space Groupsmentioning

confidence: 99%

A historical introduction to the symmetries of magnetic structures. Part 1. Early quantum theory, neutron powder diffraction and the coloured space groups

Wills

2017

Powder Diffr.

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Classifications of magnetic structures

Cited by 23 publications

References 3 publications

The symmetry of the spin-density Patterson function

The symmetry of the spin-density Patterson function

Development of Symmetry Concepts for Aperiodic Crystals

A historical introduction to the symmetries of magnetic structures. Part 1. Early quantum theory, neutron powder diffraction and the coloured space groups

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