The quadrupole and hexadecapole coupling constants for I-127 in LiI were de
termined from relativistic Dirac-Fock electronic structure and self-consist
ent nuclear structure calculations. While the calculated quadrupole couplin
g constant agrees with the experimental value, the predicted hexadecapole c
oupling constant ranges between +6 and +20 mHz, which is of opposite sign a
nd about three orders of magnitude smaller than the value deduced from rece
nt high resolution radio-frequency molecular beam measurements [J. Cederber
g, D. Olson, A. Nelson, D. Laine, P. Zimmer, M. Welge, M. Feig, T. Hoft, an
d N. London, J. Chem. Phys. 110, 2431 (1999)].