gives a total shift that is roughly the same size as that of the first-order, though of opposite sign. For $6p_{3/2}$, the size of the core relaxation correction is of similar magnitude to that for $6p_{1/2}$, though the smaller first-order correction leads to a much larger (about 20 times) relative correction. For $5d_{3/2}$ and $5d_{5/2}$, the relative size of the relaxation corrections is enormous; the absolute corrections are about the same size as that for $6s$, which makes the Uehling shifts for $5d_{3/2}$ and $5d_{5/2}$ as much as about 10% the size of the $6s$ shift, and of opposite sign.

While the relative sizes of the relaxation corrections for $4f$ and $5g$ orbitals are orders of magnitude larger still, the absolute sizes of the shifts are less than $10^{-3}$ the size of the $5d$ shifts, so we will not consider the shifts for $f$ and $g$ levels further.

We have looked at the contributions to the direct and exchange relaxation potentials, $\langle \varphi |-\delta V_{\rm dir}|\varphi
\rangle$ and $\langle \varphi |-\delta V_{\rm exch}|\varphi
\rangle$, for Cs coming from the intervals $r\le a_B$ and $r>a_B$. As we might expect, from examination of Fig. \[fig:potentials\], most of the direct relaxation shift comes 