The global maxima of linear electro-optic effect are determined for LiNbO3:MgO crystal by extreme surfaces method. As it is shown, the maximal achievable values of the reduced optical pathlength changes for the ordinary and extraordinary waves are equal to 119 and 277 pm/V correspondingly for the wavelength of 632.8 nm and room temperature whereas the global maximum of the path difference between the orthogonally polarized waves is equal to 269 pm/V. These maxima are 1.5, 1.7 and 2.3 times higher than the corresponding values for the direct cuts of these crystals.
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