The fragmentation of Fe56 at 1.88 GeV/nucleon has been studied on H, Li, Be, C, S, Cu, Ag, Ta, Pb, and U targets. The detection apparatus consisted of a simple transmission detector. A method is presented which eliminates the effects of multiple interactions in the targets which were typically half an interaction-length thick. Elemental production cross sections, (Z), were measured for Z=13 to 25. Measured charge-changing cross sections, Z1, and derived mass-changing cross sections, A1, are presented for each target. The (Z) factor into a term which depends only on the target and a term which depends only on the fragment observed. The Z1 and A1 follow a simple geometric behavior. The cross section for the removal of one proton from the Fe56 projectile is enhanced for the heavier targets. This effect is described by a model assuming Coulomb dissociation. The (Z) for Fe56 on the H target are compared to the semiempirical formulas of Silberberg and Tsao. NUCLEAR REACTIONS H(Fe56,S), Li(Fe56,X), Be(Fe56,X), C(Fe56,X), S(Fe56,X), Cu(Fe56,X), Ag(Fe56,X) Ta(Fe56,X), Pb(Fe56,X), U(Fe56,X), X=Al to Mn, measured elemental production cross sections; measured charge-changing cross sections and derived mass changing cross sections. Iron fragmentation cross sections, relativistic heavy ions, thick target corrections, Coulomb dissociation. © 1979 The American Physical Society.