We have performed a resonant x-ray scattering (RXS) study near the $\text{Co}\text{ }K$ edge on a single crystal of ${\text{Ca}}_{3}{\text{Co}}_{2}{\text{O}}_{6}$. In the magnetically ordered phase a new class of weak reflections appears at the magnetic propagation vector $\stackrel{P\vec}{\ensuremath{\tau}}\ensuremath{\simeq}(\frac{1}{3},\frac{1}{3},\frac{1}{3})$. These new reflections allow direct access to the dipolar-quadrupolar ${E}_{1}{E}_{2}$ scattering channel. The theoretical possibility of observing isolated ${E}_{1}{E}_{2}$ electromagnetic multipoles has attracted a lot of interest in recent years. Unfortunately in many systems of interest, parity even and parity odd tensor contributions occur at the same positions in reciprocal space. We demonstrate that in ${\text{Ca}}_{3}{\text{Co}}_{2}{\text{O}}_{6}$ it is possible to completely separate the parity even from the parity odd terms. The possibility of observing such terms even in globally centrosymmetric systems using RXS has been investigated theoretically; ${\text{Ca}}_{3}{\text{Co}}_{2}{\text{O}}_{6}$ allows a symmetry based separation of this contribution.
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