We present ab initio spin-density-functional investigations of static long-
period spin-density waves (SDWs) in Cr. Calculations performed in the gener
alized-gradient approximation (GGA) and using both projector-augmented-wave
and muffin-tin orbital techniques show that the overestimation of the stre
ngth of the antiferromagnetism suppresses the formation of an SDW. In the l
ocal density approximation we find that a static SDW is also higher in ener
gy than a commensurate antiferromagnetic structure, but with an energy diff
erence that tends towards zero as the lattice constant shrinks to its low-t
emperature limit. A possible scenario for the origin of the observed SDW st
ate is developed.