It is found in Eef. [1] that a band of scattered light is produced when a laser beam passes through an α-LiIO3 single crystal under the action of a DC field along the c-axis. The electric vector of the scattered light has special direction which differs from that of the incident beam. In this paper, we have further investigated the characters of this scattering of light. The fine structure of the band has been studied. No frequency shift between the scattered and incident beam larger than 15 MHz has been. observed. The distribution of intensity of the band is asymmetric with respect to the transmitted light spot, one side is stronger than another. We have found that the distributions of intensity of the scattering band are inverse for the two types of absolute configuration of α-LiIO3 single crystals, that is the stronger side of the band for the D type crystal corresponds to the weaker side for the L type crystal. We have also studied the relationship between locations of bands and that of the transmitted light spots, and found it is dependent on the orientations, of the incident and exit surfaces of specimens with respect to the c-axis of the crystal.