| The application of Hermann's group M in group-subgroup relations between space groups. | |
| | |
MedLine Citation:
|
PMID: 11326116 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
|
This paper is devoted to the study of the group-subgroup relations U < G between space groups. A procedure has been developed for the derivation of all subgroups U(j) < G which are obtained from U by a transformation with a translation (T-equivalent subgroups). All T-equivalent supergroups G(k) > U can be determined in the same way from one supergroup G > U. The decisive group in this procedure is the translation part of the (Euclidean) normalizer of Hermann's group M. The group M is the uniquely determined group U < or = M < or = G with the translations of G and the point group of U. The method is particularly useful in the search for supergroups of space groups and is based on several lemmata which are formulated and proven in this paper. The results suggest under special conditions the possibility of a transition with 'region' formation in some analogy to the well known domain formation. This transition could occur from high symmetry to low symmetry or from low symmetry to high symmetry or even both ways. |
| | |
Authors:
|
H Wondratschek; M I Aroyo |
Related Documents
:
|
7989516 - Resection of large uterine septum during early pregnancy and at the oocyte retrieval--p... 19860356 - Successful pregnancy with frozen embryo transfer into a gestational carrier from eggs o... 11756376 - Blastocyst development and pregnancies after ivf of mature oocytes retrieved from unsti... 15838696 - An oocyte donation protocol using the gnrh antagonist ganirelix acetate, does not compr... 6837676 - Clinical signs of normal plasma volume expansion during pregnancy. 1960636 - Placental abruption associated with air travel. a case report and an overview on safety... |
Publication Detail:
|
Type: Journal Article Date: 2001-05-01 |
Journal Detail:
|
Title: Acta crystallographica. Section A, Foundations of crystallography Volume: 57 ISSN: 0108-7673 ISO Abbreviation: Acta Crystallogr., A, Found. Crystallogr. Publication Date: 2001 May |
Date Detail:
|
Created Date: 2001-05-18 Completed Date: 2001-06-28 Revised Date: 2003-10-31 |
Medline Journal Info:
|
Nlm Unique ID: 8305825 Medline TA: Acta Crystallogr A Country: Denmark |
Other Details:
|
Languages: eng Pagination: 311-20 Citation Subset: - |
Affiliation:
|
Institut für Kristallographie, Universität, D-76128 Karlsruhe, Germany. hans.wondratschek@physik.uni-karlsruhe.de |
Export Citation:
|
APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
|
|
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
Previous Document: Symmetry of single-wall nanotubes.
Next Document: Location of Zn within the Mg12(LaxCe1-x) lattice by X-ray incoherent channelling patterns.