BCMB/CHEM 8190 Problem Set 6 1) A NOESY experiment is conducted on a small protein using a short mixing time (50ms). Crosspeaks are observed and integrated for a glycine residue. Using the distance between the two alpha protons in this amino acid (0.175nm) as a distance standard, and the following crosspeak intensity data, estimate the dihedral angle phi (N-Cα bond) for this amino acid. Use other standard bond and angle geometries as necessary. Ha1 - Ha2 28.0 Ha1 - HN 1.6 Ha2 - HN 0.5 2) The following are planes from HNCA and NHCO experiments taken at the same 15N chemical shift. a) add the residue number to the peaks in the HNCA spectrum b) why are the upfield peaks in each pair weaker? c) will the weaker peaks always be upfield? 2) Below we show some plots for 15N T1s and T2s for a 21 kDa protein collected at 600 MHz for protons and 25º C. a) Using the simple formulas given in class estimate the correlation time for the protein using some of the data around residues 30-60. b) Given that the dipolar interaction constant for a H-N pair (dd/4) is 5.85 x 109, calculate the order parameter S for these residues c) If S were 0.8 and the fast motions of the H-N vector were associated with wobbling around the surface of a cone, what would be the cone angle? T2 (ms) T1 (ms) Sequence Sequence