Taking account of X-ray polarization, an atomic scattering factor should be treated as a tensor. The ATS (Anisotropy of Tensor of Susceptibility) scattering results in violation of conventional extinction rules by a screw axis and/or a glide plane. Utilizing the“forbidden reflection”, local anisotropy of the electronic state of an absorbing atom can be investigated near the absorption edge. Physical properties of the ATS scattering involved in recent experimental results are briefly reviewed.