Investigation of dielectric and electrical properties of Mn doped sodium potassium niobate ceramic system using impedance spectroscopy J. Appl. Phys. 110, 104102 (2011) Determination of depolarization temperature of (Bi1/2Na1/2)TiO3-based lead-free piezoceramics J. Appl. Phys. 110, 094108 (2011) Finite element method simulation of the domain growth kinetics in single-crystal LiTaO3: Role of surface conductivity J. Appl. Phys. 110, 052016 (2011) Local domain engineering in relaxor 0.77PbMg1/3Nb2/3O3-0.23PbSc1/2Nb1/2O3 single crystals J. Appl. Phys. 110, 052002 (2011) Determination of the effective coercive field of ferroelectrics by piezoresponse force microscopy J. Appl. Phys. 110, 052012 (2011) Additional information on J. Appl. Phys. ͑1-x͒Pb͑Mg 1/3 Nb 2/3 ͒O 3 -xPbTiO 3 ͑PMN-x PT͒ single crystals with x = 0.24, 0.30, 0.31, and 0.33 have been investigated by spectroscopic ellipsometry. The refractive indices and extinction coefficients were obtained. The modified Sellmeier equations for the refractive indices were obtained by least-squares fit. The equations can be used to calculate the refractive index with high accuracy in the low absorption wavelength range, namely, from 400 to 5800 nm. The Sellmeier optical coefficients E 0 , 0 , S 0 , and E d were calculated by fitting the single-term oscillator equation. They are related directly to the electronic energy band structure and have the physical significance. The optical band gap energies were also obtained from absorption coefficient spectra. Our results show that as the PT content increases, the refractive index of PMN-xPT single crystals increases, while the optical band gap energy decreases. Some discussions about the BO 6 octahedron building block that determines the basic energy level of PMN-xPT single crystals are also presented in this article.