| Bijective mapping between the eigenvalue spectrum of a Karle-Hauptman matrix and its phases. | |
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MedLine Citation:
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PMID: 18931425 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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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. |
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Authors:
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A C Ralph |
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Publication Detail:
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Type: Journal Article Date: 2008-10-07 |
Journal Detail:
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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:
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Created Date: 2008-10-20 Completed Date: 2008-11-14 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 8305825 Medline TA: Acta Crystallogr A Country: Denmark |
Other Details:
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Languages: eng Pagination: 698-700 Citation Subset: - |
Affiliation:
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Department of Mathematics, NUI Maynooth, Maynooth, Co. Kildare, Ireland. adam.ralph@maths.nuim.ie |
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