The irregular variation of lattice constants of the α-LiIO3 single crystal originated in the growth process and the fluctuation phenomena of lattice constants under the action of an electrostatic field were investigated by an X-ray double-crystal spectro-meter in the (n, -n) arrangement.The results obtained support the view point that the enhancement of neutron diffraction intensity of the l≠0 reflection under the action of an electrostatic field along z-axis is due to the existence of a gradient of lattice constant c.