  The total energies of twenty eight bound S-, P-, D-, F-, G-, H-, and I-states
in the three-electron systems Li atom and Be+ ion, respectively, are determined
with the use of the Configuration Interaction (CI) with Slater orbitals and L-S
eigenfunctions, and the Hylleraas-configuration-interaction (Hy-CI) methods. We
discuss the construction and selection of the configurations in the wave
functions, optimization of the orbital exponents and advanced computational
techniques. Finally, we have developed a very effective procedure which allows
one to determine the energies of the excited states in three-electron atoms and
ions to high accuracy by using compact wave functions. For the ground and low
lying excited states our best accuracy with the Hy-CI method was approximately
1.10-6 a.u. and 1.10-4 a.u. for other excited states. Analogous accuracy of the
CI method is substantially lower approximately 1.10-3 a.u. Many of the
rotationally excited (bound) states in the three-electron Li atom and Be+ ion
have never been evaluated to such an accuracy.
