An oscillatory microstructure has been observed during deep-cellular growth of directionally solidified Sn-36at.%Ni hyperperitectic alloy containing intermetallic compounds with narrow solubility range. This oscillatory microstructure with a dimension of tens of micrometers has been observed for the first time. The morphology of this wave-like oscillatory structure is similar to secondary dendrite arms, and can be observed only in some local positions of the sample. Through analysis such as successive sectioning of the sample, it can be concluded that this oscillatory microstructure is caused by oscillatory convection of the mushy zone during solidification. And the influence of convection on this oscillatory microstructure was characterized through comparison between experimental and calculations results on the wavelength. Besides, the change in morphology of this oscillatory microstructure has been proved to be caused by peritectic transformation during solidification. Furthermore, the melt concentration increases continuously during solidification of intermetallic compounds with narrow solubility range, which helps formation of this oscillatory microstructure.An important class of industrial alloys has been represented in peritectic systems, including Fe-Ni, Cu-Zn, Cu-Sn and Ti-Al which are the most widely known [1][2][3] . Solidification microstructures that form under steady state growth conditions have been reasonably well understood during peritectic solidification. However, under non-steady state growth conditions, the peritectic microstructures is also influenced by many other factors like Gibbs-Thomson effect 4 , and temperature gradient zone melting (TGZM) effect 5,6 etc. Besides, the selection of microstructures in peritectic systems is mostly governed by the coupling effects like convection, nucleation undercooling etc. 7,8 . Due to the above reasons, a wide variety of non-steady state microstructures have been revealed in directional solidification in both the hypoperitectic and hyperperitectic regions of peritectic systems [8][9][10][11][12][13][14] . Among them, the so-called banded 9 structures and the oscillatory structures 10,12 have been observed in several peritectic systems, including Sn-Cd, Pb-Bi, Fe-Ni alloys 1,3-11 . The former is featured by bands of both the primary and peritectic phases which form alternately normal to the growth direction 9 . And their formations have been attributed to nucleation followed by the growth of one phase (α or β ) ahead of a growing planar front of the other phase (β or α ). Besides, this banded structure is often related to the oscillatory structures 10,12 . In highly convective hyperperitectic alloys, tree-like structures which appeared as alternate bands and islands in longitudinal cross-sections have been revealed to be continuous structures in Pb-Bi and Sn-Cd alloys 13,14 . The oscillatory structures are, in fact, a continuous treelike morphology of the primary phase which is surrounded by the peritectic phase 12 . And these structures result from an...