A novel iterative procedure is described that allows both the orientation and dynamics of internuclear bond vectors to be determined from direct interpretation of NMR dipolar couplings, measured under at least three orthogonal alignment conditions. If five orthogonal alignments are available, the approach also yields information on the degree of motional anisotropy and the direction in which the largest amplitude internal motion of each bond vector takes place. The method is demonstrated for the backbone (15)N-(1)H, (13)C(alpha)-(1)H(alpha), and (13)C(alpha)-13C' interactions in the previously well-studied protein domain GB3, dissolved in a liquid crystalline suspension of filamentous phage Pf1. Alignment variation is achieved by using conservative mutations of charged surface residues. Results indicate remarkably uniform backbone dynamics, with amplitudes that agree well with those of previous (15)N relaxation studies for most residues involved in elements of secondary structure, but larger amplitude dynamics than those found by (15)N relaxation for residues in loop and turn regions. In agreement with a previous analysis of dipolar couplings, the N-H bonds in the second beta-strand, which is involved in antibody recognition, show elevated dynamics with largest amplitudes orthogonal to the chain direction.
3JHN,Halpha, 3JHN,Cbeta, and 3JHN,C' couplings, all related to the backbone torsion angle phi, were measured for the third immunoglobulin binding domain of protein G, or GB3. Measurements were carried out using both previously published methods and novel sequences based on the multiple-quantum principle, which limit attenuation of experimental couplings caused by finite lifetimes of the spin states of passive spins. High reproducibility between the multiple-quantum and conventional approaches confirms the accuracy of the measurements. With few exceptions, close agreement between 3JHN,Halpha, 3JHN,Cbeta, and 3JHN,C' and values predicted by their respective Karplus equations is observed. For the three types of couplings, up to 20% better agreement is obtained when fitting the experimental couplings to a dynamic ensemble NMR structure, which has a phi angle root-mean-square spread of 9 +/- 4 degrees and was previously calculated on the basis of a very extensive set of residual dipolar couplings, than for any single static NMR structure. Fits of 3J couplings to a 1.1-A X-ray structure, with hydrogens added in idealized positions, are 40-90% worse. Approximately half of the improvement when fitting to the NMR structures relates to the amide proton deviating from its idealized, in-peptide-plane position, indicating that the positioning of hydrogens relative to the backbone atoms is one of the factors limiting the accuracy at which the backbone torsion angle phi can be extracted from 3J couplings. Introducing an additional, residue-specific variable for the amplitude of phi angle fluctuations does not yield a statistically significant improvement when fitting to a set of dynamic Karplus curves, pointing to a homogeneous behavior of these amplitudes.
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