The pure quadrupole spectrum of I127 in iodic acid has been observed at several temperatures. At 22°C the z component of the quadrupole coupling is 1126.9 Mc and η, the asymmetry parameter is 0.4505. Zeeman studies on the low frequency transition (±1/2→±3/2) showed an intensity effect that depended on the orientation of the crystal in the rf coil. Extra Zeeman components were present that resulted from a proton interaction, and the study of these essentially located the hydrogen in the crystal lattice. Zeeman studies on the high frequency transition (±3/2→±5/2) showed four components for each type of iodine atom, the two not normally present unless η is large were weak. The splittings of the levels were uniquely assigned and the directions of the principal axes computed.