In order to study superconducting physical properties by neutron scattering technique, the necessity to obtain large and high quality optimally doped Bi2Sr2CaCu2O8+delta (Bi-2212) and underdoped Bi-2212 single crystals is prominent. Three routes have been investigated to reach this goal: synthesis under low oxygen pressure by travelling solvent floating zone technique (TSFZ), TSFZ synthesis of yttrium doped Bi2Sr2Ca1-xYxCu2O8+delta and TSFZ synthesis under air followed by post-annealing treatments. With decreasing P(O-2) from ambient pressure to 0.1 atm during the TSFZ growth, the superconducting transition temperature, T-c, transits from 87 K (slightly overdoped) to 93 K. On yttrium doped growth, a systematic study of Bi2Sr2Ca1-xYxCu2O8+delta , where x=0-0.5. was undertaken to correlate the nominal yttrium composition with the yttrium crystal composition and to control the T-c as a function of yttrium composition. 85 K underdoped Bi-2212 crystals with a size up to 220 mm(3) and a 5 K transition width, Delta T-c, were obtained by post-annealing under P(O-2)=0.1 atm at 450 degrees C. (C) 2009 Elsevier B.V. All rights reserved.