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We investigate noncollinear effects in antiferromagnetically coupled clustersusing the general, rotationally invariant form of local spin-density theory.The coupling to the electronic degrees of freedom is treated with relativisticnon-local pseudopotentials and the ionic structure is optimized by Monte-Carlotechniques. We find that small chromium clusters (N \le 13) strongly favornoncollinear configurations of their local magnetic moments due to frustration.This effect is associated with a significantly lower total magnetization of thenoncollinear ground states, ameliorating the disagreement between Stern-Gerlachmeasurements and previous collinear calculations for Cr_{12} and Cr_{13}. Ourresults further suggest that the trend to noncollinear configurations might bea feature common to most antiferromagnetic clusters.Comment: 9 pages, RevTeX plus .eps/.ps figure

Noncollinear magnetic ordering in small chromium clusters