The theory developed by Lindhard and co-workers for the partition of energy as an energetic ion slowing down in a solid has been applied to the calculation of neutron displacement cross sections for iron, chromium, nickel, stainless steel, and tantalum. ENDF/B data were used to incorporate anisotropic elastic and isotropic inelastic neutron scattering. A contribution from (n,γ) recoils has also been included. The results for stainless steel are presented in tabular form for convenience.