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Orientational sampling schemes based on four dimensional polytopes (Q527539)

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scientific article; zbMATH DE number 6714411
Language Label Description Also known as
English
Orientational sampling schemes based on four dimensional polytopes
scientific article; zbMATH DE number 6714411

    Statements

    title
    Orientational sampling schemes based on four dimensional polytopes (English)
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    author
    Salvatore Mamone
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    Giuseppe Pileio
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    Malcolm H. Levitt
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    published in
    Symmetry
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    publication date
    12 May 2017
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    review text
    Summary: The vertices of regular four-dimensional polytopes are used to generate sets of uniformly distributed three-dimensional rotations, which are provided as tables of Euler angles. The spherical moments of these orientational sampling schemes are treated using group theory. The orientational sampling sets may be used in the numerical computation of solid-state nuclear magnetic resonance spectra, and in spherical tensor analysis procedures.
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    zbMATH Keywords
    polytope
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    polychora
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    group theory
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    Schläfli symbols
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    powder averaging
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    orientational sampling
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    solid-state nuclear magnetic resonance
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    Identifiers

    zbMATH DE Number
    6714411
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    OpenAlex ID
    W2082068389
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    Wikidata QID
    Q60397327
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    DOI
    10.3390/SYM2031423
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