Abstract of the lecture by Jian-Rui Soh: The fundamental interaction between the neutron dipolar field and the magnetisation density surrounding the scattering ion, lies at the heart of magnetic neutron diffraction. However, if the ion resides in an environment which breaks both time and spatial inversion symmetry, the current formalism for magnetic diffraction does not fully account for all the possible scattering mechanisms arising from the asymmetry of the magnetisation density cloud of the scatterer. In our work, we have (i) extended the theory of magnetic neutron diffraction to include these effects, (ii) developed a framework to calculate the associated neutron cross sections using density functional theory and (iii) employed spherical neutron polarimetry to provide direct experimental evidence for these multipoles in CuO.