“…The J LS (ω) values included the effect of the overall rotational anisotropy 46,47 , calculated from the diffusion tensor characteristics (Table 1) and the orientation of a given NH vector reconstructed according to the crystal structure of GB3 (1IGD.pdb). For each residue, the experimental values of the spectral density function J(ω) at ω=0, ω N , and 0.87ω H were directly derived from the relaxation data (R 1 , R 2 , NOE) at each field strength using the reduced spectral density approximation 48,49 , as follows: (15) (16) (17) Altogether this resulted in 15 values of J(ω) per residue, five of which were J(0) values derived from different-field measurements and which are expected to be the same within experimental precision. The LS parameters, (S 2 , τ loc ), and the 15 N CSA value for each residue were obtained from an unconstrained nonlinear minimization of the following target function: (18) where the sum is over all available ω i values for a given residue, and δJ i represents the experimental error in J(ω i ).…”