Cluster coverings as an ordering principle for quasicrystals
Cluster density maximization and (maximal) cluster covering have emerged as ordering principles for quasicrystalline structures. The concepts behind these ordering principles are reviewed and illustrated with several examples. For two examples, Gummelt's aperiodic decagon model and a cluster mo...
Saved in:
| Published in: | Materials science & engineering. A, Structural materials : properties, microstructure and processing Vol. 294-296; pp. 199 - 204 |
|---|---|
| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
20-09-1999
|
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | Cluster density maximization and (maximal) cluster covering have emerged as ordering principles for quasicrystalline structures. The concepts behind these ordering principles are reviewed and illustrated with several examples. For two examples, Gummelt's aperiodic decagon model and a cluster model for octagonal Mn-Si-Al quasicrystals, these ordering principles can enforce perfectly ordered, quasiperiodic structures. For a further example, the Tubingen triangle tiling (TTT), the cluster covering principle fails to enforce quasiperiodicity, which sheds some light on the limitations of this approach. |
|---|---|
| Bibliography: | SourceType-Scholarly Journals-2 ObjectType-Conference Paper-1 content type line 23 SourceType-Conference Papers & Proceedings-1 ObjectType-Feature-2 ObjectType-Article-3 |
| ISSN: | 0921-5093 |