The Hartree-Fock ground-state phase diagram of the one-dimensional Hubbard model is calculated in the μ−U plane, restricted to phases with no charge density modulation. This allows antiferromagnetism, saturated ferromagnetism, spiral spin density waves and a collinear structure with unit cell ↑↑↓↓. The spiral phase is unstable against phase separation near quarter-, halfand three-quarter-fillin...