Various carbon-substituted boron nitride (8,0) and (4,4) nanotubes are designed for application as nonlinear optical materials. The structure and first (static and frequencydependent) hyperpolarizabilities of these boron nitride nanotubes are predicted. The substitution of carbon in the boron nitride nanotube clip significantly enhances the first hyperpolarizabilities by up to several orders of magnitude. The doping pattern of the carbon circle and π electron conjugation are crucial in determining the large first hyperpolarizabilities of these nanotubes. KEYWORDS: carbon-substituted boron nitride nanotubes, first hyperpolarizability, frequency dispersion, charge transfer based electronic excitation N onlinear optical (NLO) materials have attracted increasing attention due to their potential important applications, e.g., laser tuning, frequency conversion, all-optical switches, signal processing, optical communication, information security, optical data storage processing, and biological imaging. 1,2 Minerals, 3 inorganic oxides, 4 semiconductors, 5 atomic clusters, 6 organometallic compounds, 7 and metal complexes 8−11 have been explored for these applications. Nanotubes could be potential NLO materials due to their unique structures and properties.Carbon nanotubes (CNTs) could be semiconducting or metallic depending on their chirality 12 with possible exceptions of CNTs (4,0) and (5,0). 13 On the other hand, boron nitride nanotubes (BNNTs) are electric insulators (or wide-gap semiconductors) with band gaps of about 5.5 eV 14 in spite of chirality and their tube diameter. 15 BNNT was predicted theoretically 16 before the experimental synthesis of single-and multiple-wall tubes. 17 The combination of BNNTs and CNTs (BCNNTs) could have some new properties due to the large property differences between BNNTs and CNTs, 18,19 and such combinations were the targets in the synthesis of nanotubes with desired properties. 20−25 The hybridized nanotubes with zigzag conformations may be semiconducting 23 with good thermal stability. The band gaps of hybridized armchair nanotubes [C 0.5 (BN) 0.5 ] do not change with the radius of the tubes. 24 The electronic structures of certain BCNNTs with proper hybridization, e.g., BC 2 N, depend on the radii or chiralities of the tubes, 25 providing new opportunities for the design of electronic devices.First-principles calculations predict large second-order nonlinear optical properties for BNNTs 26 and possible applications of BN-doped carbon nanotubes in NLO devices. 27 The NLO properties of zigzag BNNTs were predicted to converge to those of a hexagonal-BN sheet. 28 The bonding pattern of C with BN and the composition dictate the electronic structure of BCNNTs, 23−25 and the charge distributions have large effects on the NLO properties 29 of these tubes as well. The polarities, polarizabilities, and the second hyperpolarizabilities of armchair BCNNTs are significantly enhanced 30 with respect to those of BNNTs. However, hybridization of C with BN has little effect on the first hyper...