2002/05/01 by G. Kontrym-Sznajd, G. Kontrym‐Sznajd, A. Jura +2 · 1 citation
Chemistry · Engineering · Physics and Astronomy · #Atomic and Molecular Physics #Inorganic Fluorides and Related Compounds #Muon and positron interactions and applications #cond-mat.mtrl-sci
paper · pdf · doi:10.1007/s003390100952
published as Appl. Phys. A 74, 605-612 (2002)
openalex publication_date 2002/05/01 · arxiv created 2002/09/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Rules are given for determining special directions in the Brillouin zone which optimize the descrip-tion of various physical quantities with Gamma1 type symmetry. We consider the cubic, hexagonal, tetragonal and trigonal (e.g. Bi) lattice. These rules allow us to construct, in all of momentum space, quantities which have the full symmetry of the Brillouin zone such as the Fermi surface, momentum density and others, from the knowledge of these quantities for a limited number of spe-cial directions. These results can also be used for determining the projections which should be measured either in Compton scattering or in positron annihilation experiments in order to recon-struct properly the electron momentum density. Such a treatment is approximately equivalent to applying Gaussian quadrature in calculations of the radial functions that occur in the expansion of data into lattice harmonics.