Document Detail


Bijective mapping between the eigenvalue spectrum of a Karle-Hauptman matrix and its phases.
MedLine Citation:
PMID:  18931425     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
For any particular Karle-Hauptman matrix, a bijective mapping exists between the eigenvalue spectrum of the matrix and the set of structure-factor phases, given enough phase constraints. For a matrix of order n + 1 with no symmetry-equivalent reflections, n + 1 phases need to be fixed. Only a small subset of matrices derived from centric reflections from trigonal or hexagonal space groups have a bijective mapping without any fixed phases.
Authors:
A C Ralph
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Publication Detail:
Type:  Journal Article     Date:  2008-10-07
Journal Detail:
Title:  Acta crystallographica. Section A, Foundations of crystallography     Volume:  64     ISSN:  1600-5724     ISO Abbreviation:  Acta Crystallogr., A, Found. Crystallogr.     Publication Date:  2008 Nov 
Date Detail:
Created Date:  2008-10-20     Completed Date:  2008-11-14     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  8305825     Medline TA:  Acta Crystallogr A     Country:  Denmark    
Other Details:
Languages:  eng     Pagination:  698-700     Citation Subset:  -    
Affiliation:
Department of Mathematics, NUI Maynooth, Maynooth, Co. Kildare, Ireland. adam.ralph@maths.nuim.ie
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