A recent suggestion that chromium is an example of a spin-split metal, in which the Fermi surfaces of spin-up and spin-down electrons are shifted relative to each other, is investigated. We show that the data on the expansion of the Cr lattice relative to Cr95V5, on neutron scattering, and on muon spin rotation, as well as theoretical arguments, provide evidence that Cr is not a realization of the spin-split state; the data are, however, consistent with the spin-density-wave state.