  Electron scattering is a tool that can provide relatively clean view of the
nuclear structure in both ground and excited states, as it depends on the
well-known electromagnetic interaction. But since the common expressions for
its cross section were derived with certain assumptions, in this paper we
describe several nontrivial steps necessary for a proper theoretical
calculation within the current density-functional framework, namely with Skyrme
QRPA for axial nuclei, with aim to enable comparison of the theoretically
predicted low-lying $1^-$ toroidal modes with future (e,e') experiments.
