Partition functions are calculated for the third (i.e., doubly-ionized
) spectra of the lanthanide rare earths for temperatures generally in
the range 7000-30 000 K. The atomic-structure code of Cowan is used to
predict energy levels for all terms based on the relevant low electro
n configurations. Observed energy levels are used to adjust the Slater
parameters. Interpolation formulae are given to allow rapid evaluatio
n of the partition functions for any temperature within the ranges of
validity.