This report discloses the electro-optic (EO) properties of a lead-free Bi 0.5 (K 0.33 Na 0.67 ) 0.5 TiO 3 (33BKNT) single crystal. The 33BKNT single crystal has near zero initial birefringence at room temperature and is optically isotropic. Moreover, the temperature dependence of the crystal's dielectric permittivity reveals its relaxor behavior. The 33BKNT single crystal shows a quadratic EO effect with an EO coefficient (Kerr coefficient) of 16 © 10 ¹17 m 2 /V 2 , which is higher than the Kerr coefficient in other lead-free EO materials at room temperature.©2012 The Ceramic Society of Japan. All rights reserved.Key-words : Bismuth-based crystal, Electro-optical property, Kerr effect, Relaxor, Lead-free [Received June 18, 2012; Accepted October 10, 2012] The network speed between the home field and the outer field (access network) has been increasing as more and more consumers begin to use digitalized devices at home. Miniaturized electro-optic (EO) modulators are considered as key devices for realizing the high-speed access network that can meet the consumers' future demands. The EO modulators fabricated from lithium niobate (LiNbO 3 , LN) single crystals 1)4) are currently used in access networks, 5)7) but modulators that operate at higher speeds would need materials with a higher EO coefficient than LN crystals can offer. Therefore, many developers are presently working to find new EO crystals.Potassium tantalate niobate (KTa x Nb 1¹x O 3 , KTN) single crystals show high EO coefficients. The KTN had been expected to replace the LN single crystal as a new EO crystal. 8),9) However, the KTN needs a high driving temperature of over 50°C to exhibit such high coefficients. KTN's EO coefficient is very sensitive to temperature, which means that using this crystal involved an additional temperature control system with high accuracy to support the optical modulator, and this additional system enlarges the optical modulator. To create a more practical design, developers have been intensely studying lanthanumadded lead zirconate-titanate (Pb 1¹x La x Zr 1¹y Ti y O 3 , PLZT) transparent ceramics as materials for optical modulators. 10)13) However, lead is an environmental threat, so it should be replaced with lead-free materials in the future. Epitaxial barium strontium titanate (Ba 1¹x Sr x TiO 3 , BST) thin films also indicate a high EO coefficient 14)16) but show high anisotropy that results in a difference in the transmittance between each crystal axis. The high anisotropy presents a barrier to realizing an optical modulator that uses BST. All materials mentioned above have significant shortcomings to becoming the next alternative EO material for optical modulators. Therefore, the search for a new, effective EO material modulator continues. It is a challenging search, because the new EO crystal must be i) non-toxic, ii) optically isotropic iii) a material with a high EO coefficient and iv) operable at room temperature.Thus far, further development has concluded that a principle should guide this research on EO m...