given in Table II.[@Cowan; @Com1] Since the $5d$-$4f$ Coulomb interaction is implicitly included in the $5d$-band energy, we eliminate the average of the $5d$-$4f$ interaction from the potential $U$. The energies of the $4f$ states coming from the crystal field much smaller than other energies in the intermediate state, and thus can be neglected. We do not include the crystal field on the $5d$ states due to the lattice distortion (the second term of eq. (\[eq.crystal\])). Within the present approximation, the right hand side of eq. (\[eq.matrix2\]) becomes a matrix with dimensions $640\times 640$ ($640=10\times 64$), which are numerically inverted.

The resolvent thus obtained is the same on four sublattices. The scattering amplitudes become different on different sublattices after the transition matrix elements from the initial state are taken into account. The scattering amplitude is found to take the same forms as eqs. (\[eq.Mamp4\]). Therefore, the azimuthal-angle dependence is the same as eqs. (\[eq.azim1\]) and (\[eq.azim2\]). As regards the photon-energy dependence, the bottom panel in Fig. \[fig.spec\] shows the RXS spectra at $\psi=-45^{\circ}$ in the $\sigma\to\sigma'$ channel for ${\textbf G}=(00\frac{5}{2})$. We put $E_f/D_f=-0.2$. The spectral shape is not so different from the curve given in the preceding subsection, although a 