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The anomalous scattering tensor, measured using synchrotron radiation with lithium iodate near the iodine K absorption edge, shows polarization anisotropy similar to that in the bromate ion, but lesser in magnitude: about 1 electron/atom at most. The reduction is explained by a greater natural width of the K level. Equally small or smaller anisotropy is predicted for any other absorption edge above 33 keV.