The excitation energies and ionization potentials of the atoms in the
first transition series are notoriously difficult to compute accuratel
y. Errors in calculated excitation energies can range from 1 to 4 eV a
t the Hartree-Fock level, and errors as high as 1.5 eV are encountered
for ionization energies. In the current work we present and discuss t
he results of a systematic study of the first transition series using
a spin-restricted Kohn-Sham density-functional method with the gradien
t-corrected functionals of Becke and Lee, Yang and Pan: Ionization ene
rgies are observed to be in good agreement with experiment, with a mea
n absolute error of approximately 0.15 eV; these results are comparabl
e to the most accurate calculations to date, the quadratic configurati
on interaction single, double (triple) [QCISD(T)] calculations of Ragh
avachari and Trucks. Excitation energies are calculated with a mean er
ror of approximately 0.5 eV, compared with similar to 1 eV for the loc
al density approximation and 0.1 eV for QCISD(T). These gradient-corre
cted functionals appear to offer an attractive compromise between accu
racy and computational effort.