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Resonant x-ray scattering (RXS) experiment has been performed for the (3 01.5) superlattice reflection in the antiferroquadrupolar and antiferromagneticphase of DyB2C2. Azimuthal-angle dependence of the resonance enhancedintensities for both dipolar (E1) and quadrupolar (E2) resonant processes hasbeen measured precisely with polarization analysis. Every scattering channelexhibits distinctive azimuthal dependence, differently from the symmetricreflection at (0 0 0.5) which was studied previously. We have analyzed theresults using a theory developed by Lovesey et al., which directly connectsatomic tensors with the cross-section of RXS. The fitting results indicate thatthe azimuthal dependences can be explained well by the atomic tensors up torank 2. Rank 3 and rank 4 tensors are reflected in the data very little. Inaddition, The coupling scheme among the 4f quadrupolar moment, 5d ortitals, andthe lattice has been determined from the interference among the Thomsonscattering from the lattice distortion and the resonant scatterings of E1 andE2 processes. It has also been established from the RXS of the (3 0 1.5)reflection that the canting of the 4f quadrupolar moments exists up to T_Q. Wealso discuss a possible wavefunction of the ground state from the point-chargemodel calculation.Comment: 9 pages, 10 figure

Multipole Tensor Analysis of the Resonant X-ray Scattering by Quadrupolar and Magnetic Order in DyB2C2

Multipole Tensor Analysis of the Resonant X-ray Scattering by Quadrupolar and Magnetic Order in DyB₂C₂