Orientational Sampling Schemes Based on Four Dimensional Polytopes

Orientational Sampling Schemes Based on Four Dimensional Polytopes

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 se...

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Bibliographic Details
Main Authors: Malcolm H. Levitt, Giuseppe Pileio, Salvatore Mamone
Format: Article
Language:English
Published: MDPI AG 2010-07-01
Series:Symmetry
Subjects:
polytope
polychora
group theory
Schl¨afli symbols
powder averaging
orientational sampling
solid-state nuclear magnetic resonance
Online Access:http://www.mdpi.com/2073-8994/2/3/1423/

Internet

http://www.mdpi.com/2073-8994/2/3/1423/

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