In order to find the optimum solvent for the growth of nonlinear optical -BaB 2 O 4 crystals, the phase relationships in the ternary reciprocal system Li, Ba // BO 2 , F have been studied using solid state synthesis, differential thermal analysis and X-ray powder diffraction. Isothermal and polythermal sections of the system Li, Ba // BO 2 , F are reported. In the studied system, the following compounds are formed: LiBa 2 B 5 O 10 (melts by peritectic reaction at 930 C, i.e. 1203 K) and LiBaF 3 (melts incongruently at 850 C, i.e. 1123 K). Visual polythermal analysis of seeding and growth of -BaB 2 O 4 crystals in this system was carried out. The primary crystallization field of -BaB 2 O 4 was defined. Using the top-seeded pulling technique, a -BaB 2 O 4 crystal of 93 mm in diameter, 34 mm in height and 520 g in weight has been grown.