Calculation of anisotropy effects in compton profiles of crystals

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Abstract
The anisotropy effects in the Compton profiles of crystals are considered, using linear combinations of atomic orbitals based on Löwdin's symmetrical orthogonalization method. General expressions of the directional dependences are obtained for primitive crystals composed of atoms (or ions) with completely occupied subshells. The main directions (100), (110) and (111) in cubic crystals are considered in more detail. The Compton profiles in these directions are calculated for the Ca crystal with face-centred cubic structure. Some calculations are also carried out for metallic vanadium (body-centred cubic structure) and are compared with experimental and other theoretical data.