In a previous publication [Can. J. Phys. 75, 11 (1997)] we calculated the g
eneralized polarizabilities up to multipole order 3 as well as certain high
er-order hyperpolarizabilities for two-electron atoms and ions of Z = 2-6 a
nd 10. In this paper we apply some of these results to calculate excited-st
ate energies in three times ionized (lithiumlike) carbon. For states with a
ngular momentum L>3 accurate results are obtained using an asymptotic polar
izability expansion that includes nonadiabatic effects. Comparison is made
with recent optical measurements, and a critical discussion of the correct
form of the expansion is given. In addition, the possibility of very accura
te measurements of the fine-structure splitting encourages us to present a
table of such splittings to very high accuracy. An appendix contains simila
r results for lithiumlike oxygen and neon ions. [S1050-2947(99)07610-6].