The role of the tangent bundle for symmetry operations and modulated structures

An equivalence relation on the tangent bundle of a manifold is defined in order to extend a structure (modulated or not) onto it. This extension affords a representation of a structure in any tangent space and that in another tangent space can easily be derived. Euclidean symmetry operations associated with the tangent bundle are generalized and their usefulness for the determination of the intrinsic translation part in helicoidal axes and glide planes is illustrated. Finally, a novel representation of space groups is shown to be independent of any origin point.


Published in:
Acta Crystallographica Section a Crystal Physics Diffraction Theoretical and General Crystallography, A66, 394–406
Year:
2010
ISSN:
0567-7394
Keywords:
Laboratories:




 Record created 2010-06-17, last modified 2018-09-13

n/a:
Download fulltextPDF
External link:
Download fulltextURL
Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)