We report on local-spin-density calculations for the ferromagnetic rar
e-earth metals Gd and Tb using the relativistic first-principles linea
r-muffin-tin-orbital method in the atomic-sphere approximation. We hav
e used a method which treats simultaneously the localized 4f and the c
onduction electron spin magnetism. The 4f magnetic moments are obtaine
d from the Russel-Saunders scheme but the radial 4f spin density is a
part of the self-consistent density-functional calculations. The calcu
lated conduction-electron moment for Gd is in very good agreement with
the measured value. The calculated de Haas-van Alphen frequencies are
in agreement with available data.