2010/07/07 by Salvatore Mamone, Giuseppe Pileio, Malcolm H. Levitt · 3 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Mathematical Approximation and Integration #NMR spectroscopy and applications #Polytope #Computation #Sampling (signal processing) #Tensor (intrinsic definition) #Mathematics #Euler's formula #Spectral line #Combinatorics #Physics #Geometry #Mathematical analysis #Algorithm #Quantum mechanics
paper · pdf · doi:10.3390/sym2031423
openalex publication_date 2010/07/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/23
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.