Allowed symmetries of soft-modes in cubic crystals

Kunert, H.W.; Zieliński, J.

doi:10.1051/jphys:01984004503055700

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1984

1987

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Active Representations in Crystals of Cubic Symmetry

Hatch

Stokes

1985

Physica Status Solidi (b)

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The reality, Landau, and Lifshitz conditions are reviewed within the formalism of the Landau theory of continuous phase transitions in crystals. It is shown that an incorrect use of these conditions in the literature has led to an omission of the W -and P-point representations in the Oh crystal class. A detailed example for the W-point is considered and the correct results obtained. The correct listing is given of the reality, Landau, and Lifshitz condit,ions for the entire cubic system (i.e., the classes T, Th, 0, Td, and oh).Nous passons en revue les conditions de rbalitb, de Landau, et de Lifshitz sur la base de la thborie de transitions cristallines du second ordre selon Landau. Nous montrons que ces conditions ont &6 employbes incorrectement dans la littbrature et que ces erreurs ont menbes a l'omission des reprbsentations des points W et P dans la classe cristallographique Oh. Nous dbtaillons un exemple pour le point W, obtenant les bons resultats. Nous presentons la bonne liste des trois conditions, de rbalitb, de Landau, et de Lifshitz pour la systeme cubique toute entiere (i.e. les classes T, Th, 0, Td et o h ) .

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