Residual dipolar couplings are useful global structural restraints. The dip
olar couplings define the orientation of a vector with respect to the align
ment tensor. Although the size of the alignment tensor can be derived from
the distribution of the experimental dipolar couplings, its orientation wit
h respect to the coordinate system of the molecule is unknown at the beginn
ing of structure determination. This causes convergence problems in the sim
ulated annealing process. We therefore propose a protocol that translates d
ipolar couplings into intervector projection angles, which are independent
of the orientation of the alignment tensor with respect to the molecule. Th
ese restraints can be used during the whole simulated annealing protocol.