CH α residual dipolar couplings (Δ rdc’s) were measured for the oxidized cytochrome b 562 from Escherichia coli as a result of its partial self-orientation in high magnetic fields due to the anisotropy of the overall magnetic susceptibility tensor. Both the low spin iron (III) heme and the four-helix bundle fold contribute to the magnetic anisotropy tensor. CH α Δ rdc’s, which span a larger range than the analogous NH values (already available in the literature) sample large space variations at variance with NH Δ rdc’s, which are largely isooriented within α helices. The whole structure is now significantly refined with the chemical shift index and CH α Δ rdc’s. The latter are particularly useful also in defining the molecular magnetic anisotropy parameters. It is shown here that the backbone folding can be conveniently and accurately determined using backbone restraints only, which include NOEs, hydrogen bonds, residual dipolar couplings, pseudocontact shifts, and chemical shift index. All these restraints are easily and quickly determined from the backbone assignment. The calculated backbone structure is comparable to that obtained by using also side chain restraint. Furthermore, the structure obtained with backbone only restraints is, in its whole, very similar to that obtained with the complete set of restraints. The paramagnetism based restraints are shown to be absolutely relevant, especially for Δ rdc’s.