We investigate noncollinear effects in antiferromagnetically coupled cluste
rs using the general, rotationally invariant form of local spin-density the
ory. The coupling to the electronic degrees of freedom is treated with rela
tivistic nonlocal pseudopotentials and the ionic structure is optimized by
Monte Carlo techniques. We find that small chromium clusters (N less than o
r equal to 13) strongly favor noncollinear configurations of their local ma
gnetic moments due to frustration. This effect is associated with a signifi
cantly lower total magnetization of the noncollinear ground states, amelior
ating the disagreement between Stem-Gerlach measurements and previous colli
near calculations for Cr-12 and Cr-13. Our results further suggest that the
trend to noncollinear configurations might be a feature common to most ant
iferromagnetic clusters. [S0163-1829(99)10929-9].