{\bb Z}-module defects in crystals

Acta Crystallographica. Section A, Foundations and Advances
Abdullah SirindilD Gratias

Abstract

An analysis is presented of the new types of defects that can appear in crystalline structures where the positions of the atoms and the unit cell belong to the same {\bb Z}-module, i.e. are irrational projections of an N > 3-dimensional (N-D) lattice Λ as in the case of quasicrystals. Beyond coherent irrationally oriented twins already discussed in a previous paper [Quiquandon et al. (2016). Acta Cryst. A72, 55-61], new two-dimensional translational defects are expected, the translation vectors of which, being projections of nodes of Λ, have irrational coordinates with respect to the unit-cell reference frame. Partial dislocations, called here module dislocations, are the linear defects bounding these translation faults. A specific case arises when the Burgers vector B is the projection of a non-zero vector of Λ that is perpendicular to the physical space. This new kind of dislocation is called a scalar dislocation since, because its Burgers vector in physical space is zero, it generates no displacement field and has no interaction with external stress fields and other dislocations.

References

Jun 1, 1986·Physical Review. B, Condensed Matter·T C LubenskyJ Toner
Sep 1, 1986·Physical Review. B, Condensed Matter·J E SocolarP J Steinhardt
Jun 24, 1985·Physical Review Letters·M Duneau, A Katz
Jan 19, 1987·Physical Review Letters·M V Jaric, U Mohanty
Aug 6, 2000·Acta Crystallographica. Section A, Foundations of Crystallography·M QuiquandonD Gratias
Dec 25, 2015·Acta Crystallographica. Section A, Foundations and Advances·Marianne QuiquandonRichard Portier

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Citations

Nov 1, 2018·Acta Crystallographica. Section A, Foundations and Advances·Abdullah SirindilDenis Gratias
Nov 1, 2018·Acta Crystallographica. Section A, Foundations and Advances·Wolfgang Hornfeck
Dec 31, 2021·Acta Crystallographica. Section A, Foundations and Advances·Wolfgang Hornfeck

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Methods Mentioned

BETA
electron microscopy

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