In this work,water cooling,air cooling(AC)and furnace cooling(FC)were applied to investigate the effect of cooling rate on microstructure evolution of primary γ’in a newly designed Ni3Al-based alloy.The results showed that nucleation rate of primary y’increased with increasing cooling rate.In addition,higher cooling rate shortened growth period of primaryγ’,which made its morphology close to the initial precipitated γ’.For AC and FC specimens,due to the lower cooling rate,primary y’possessed longer growth period and its morphology was mainly due to the evolution of lattice misfit between y and primary γ’.Meanwhile,growth of primary γ’depended on lattice misfit distribution between its corner and edge area.Moreover,primary y’morphologies of sphere,cube and concave cube with tip corners were illustrated by considering inter-action between elemental diffusion and elastic strain energy.