  We derive an expression for the scattering amplitude of resonant x-ray
scattering under the assumption that the Hamiltonian describing the
intermediate state preserves spherical symmetry. On the basis of this
expression, we demonstrate that the energy profile of the RXS spectra expected
near U and Np M_4 edges from the triple-k antiferromagnetic ordering phase in
UO_{2} and U_{0.75}Np_{0.25}O_{2} agree well with those from the experiments.
We demonstrate that the spectra in the \sigma-\sigma' and \sigma-\pi' channels
exhibit quadrupole and dipole natures, respectively.
