{\bb Z}-module defects in crystals

Sirindil, A.; Quiquandon, M.; Gratias, D.

doi:10.1107/S2053273317013882

Acta Crystallographica Section A
Acta Crystallographica
Section A FOUNDATIONS AND ADVANCES

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Figure 3
(a) Generating a uniformly discrete set out of a dense $[{\bb Z}]$ -module resulting from a d-dimensional projection in $[{\bf E}_\parallel]$ of an N-dimensional lattice Λ consists of attaching to each N-D lattice node of Λ a (N-d)-D bounded volume σ parallel to $[{\bf E}_\perp]$ designated here as an atomic surface (AS) and collecting the intersection points of these ASs with $[{\bf E}_\parallel]$ . (b) To generate a periodic structure based on the same $[{\bb Z}]$ -module, a shear along $[{\bf E}_\perp]$ is applied that brings specific nodes of Λ parallel to $[{\bf E}_\parallel]$ . These nodes define the lattice $[L_\parallel]$ of the periodic structure in $[{\bf E}_\parallel]$ .

FOUNDATIONS
ADVANCES

ISSN: 2053-2733

Volume 73| Part 6| November 2017| Pages 427-437

https://doi.org/10.1107/S2053273317013882

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