X-ray form factors and the Compton profile in crystalline aluminum

The scattering factors and the Compton profile were calculated for crystalline aluminum. The electronic charge distribution was generated from wave functions obtained from a self-consistent modified tight-binding band structure. The good agreement with the experimental results reflects the importance of the hybridization of the $d$ with the $s$ and $p$ representations of the Bloch states for this metal. The Compton profile was calculated in the impulse approximation and was found to be anistropic.