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Dichroic signals derived from the Borrmann effect and a twisted photon beamwith topological charge l = 1 are formulated with an effective wavevector. Theunification applies for non-magnetic and magnetic materials. Electronic degreesof freedom associated with an ion are encapsulated in multipoles previouslyused to interpret conventional dichroism and Bragg diffraction enhanced by anatomic resonance. A dichroic signal exploiting the Borrmann effect with alinearly polarized beam presents charge-like multipoles that include ahexadecapole. A difference between dichroic signals obtained with a twistedbeam carrying spin polarization (circular polarization) and opposite windingnumbers presents charge-like atomic multipoles, whereas a twisted beam carryinglinear polarization alone presents magnetic (time-odd) multipoles. Charge-likemultipoles include a quadrupole, and magnetic multipoles include a dipole andan octupole. We discuss the practicalities and relative merits of spectroscopyexploiting the two remarkably closely-related processes.

A unified formulation of dichroic signals using the Borrmann effect and twisted photon beams