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Isotropic distributions in hcp crystals

Kontrym-Sznajd G.

Nukleonika

2015

Vol. 60, No. 4, part 1

741--744

Some anisotropic quantities in crystalline solids can be determined from their knowledge along a limited number of sampling directions. The importance of the choice of such directions is illustrated on the example of estimating, from angular correlation of annihilation radiation data, the isotropic electron momentum density in Gd.

Utilization of symmetry of solids in some experiments

Kontrym-Sznajd

Nukleonika

2013

Vol. 58, No. 1

207-210

It is known that some anisotropic quantities, that describe the properties of solids, can be determined, to a reasonable accuracy, by a limited number of data along the "special directions" (SD). SDs are very useful in various theoretical and experimental investigations. Among other things, they define projections which are the most efficient to reconstruct three-dimensional (3-D) electron momentum densities from Compton scattering spectra. The concept of SDs and their power is illustrated by comparing an isotropic average of the function based on either three high-symmetry directions or even only one, but SD.