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Special directions in momentum space. III. Practical applications
Author(s) -
KontrymSznajd Grazyna
Publication year - 2015
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s1600576714024121
Subject(s) - homogeneous space , symmetry (geometry) , space (punctuation) , tetragonal crystal system , trigonal crystal system , brillouin zone , anisotropy , momentum (technical analysis) , physics , theoretical physics , optics , mathematics , computer science , geometry , chemistry , crystallography , crystal structure , finance , economics , operating system
This paper complements two previous papers devoted to Special directions in momentum space. I. Cubic and II. Hexagonal, tetragonal and trigonal symmetries [Kontrym‐Sznajd & Samsel‐Czekala (2011). J. Appl. Cryst. 44 , 1246–1254; Kontrym‐Sznajd & Samsel‐Czekala (2012). J. Appl. Cryst. 45 , 1254–1260], in which sets of special directions (SDs) were proposed. Such directions, employing the full symmetry of the Brillouin zone, allow for constructing in the whole space anisotropic quantities from their known values along a few directions. SDs also define which spectra, measured in, for example, Compton scattering experiments, are the most efficient for reconstructing three‐dimensional densities from their one‐dimensional projections. This paper, in which new sets of special directions (SDs) for cubic structures are proposed, is devoted mainly to practical applications of SDs. Taking into account experimental uncertainty, an optimal strategy for experimental investigations is discussed.