The thermo-optic coefficients, i.e., the variation of refractive index with temperature (dn/dT), determine the temperature characteristics of nonlinear optical laser devices. A lack of proper dn/dT data prevents the assessment of the temperature-tuning behavior of various parametric three-wave interactions in barium berate and lithium triborate crystals. These dn/dT values are analyzed critically by use of a physical model based on the thermal expansion coefficient, the temperature coefficient of the excitonic band gap, and an isentropic band gap. The computed optical constants from the thermo-optic coefficients and the room temperature Sellmeier coefficients are used to calculate the refractive indices for any operating temperature and wavelength along the principal axes of both crystals. Temperature sensitivities are evaluated and thoroughly compared to the experimental values. Also, this study interprets the existing nonlinear optical devices, in particular, the recently introduced femtosecond traveling-wave parametric generations in a lithium triborate crystal, more accurately expressed in the range of -40 to 320 degrees C. A type I second-harmonic generation of a 1.48 mu m laser diode with an output power of 100 mW is observed at a noncritical phase-matching temperature of 50 degrees C in this crystal. It is confirmed here that the thermo-optic coefficients are both wavelength and temperature dependent and the data at the band edge are especially important to account for the temperature-tuning phase-matched characteristics. (C) 1995 American Institute of Physics.