Abstract
Resonant x-ray scattering (RXS) experiment has been performed for the (3 0 1.5) superlattice reflection in the antiferroquadrupolar and antiferromagnetic phase of DyB 2 C 2 . Azimuthal-angle dependence of the resonance enhanced intensities for both dipolar ( E 1) and quadrupolar ( E 2) resonant processes has been measured precisely with polarization analysis. Every scattering channel exhibits distinctive azimuthal dependence, differently from the symmetric reflection at (0 0 0.5) which was studied previously. We have analyzed the results using a theory developed by Lovesey et al. [J. Phys.: Condens. Matter 8 (1996) 10983], which directly connects atomic tensors with the cross-section of RXS. The fitting results indicate that the azimuthal dependences can be explained well by the atomic tensors up to rank 2. Rank 4 tensor is not reflected in the RXS data. In addition, the coupling scheme among the 4 f quadrupolar moment, 5 d ortital, and the lattice has been determined from the interference among the Thomson scattering from the lattice distortion and the resonant scatterings of E 1 and E 2 processes. It has also been established from the RXS of the (3 0 1.5) reflection that the canting of the 4 f quadrupolar moments exists up to T Q . We also discuss a possible wavefunction of the ground state and the existence of the rank 4 moment.
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