Ideal and defective vertex configurations in the planar octagonal quasilattice
- 1 November 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 42 (13) , 8091-8102
- https://doi.org/10.1103/physrevb.42.8091
Abstract
The well-known two-dimensional octagonal quasilattice is realized by means of dualization and Klotz construction. We discuss the geometric properties and the extended symmetry of the pattern. The concept of geometric defects is introduced, and an elastic energy measure ΔE is presented that allows a simple sequencing of the forbidden vertices. After a sketchy comparison with Lennard-Jones calculations, some thermodynamic consequences of ΔE are discussed. It turns out that the specific heat should show a significant increase in comparison with the crystallographic case.Keywords
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