Alloys of the quasi-binary TiNi – TiCu system with a copper content of 25, 30, 35, and 40 at. % were obtained by planar flow casting technique at a cooling rate of 10^6 K/s in the form of ribbons 30–50 μm thick and 10–20 mm wide. The structure and phase transformations in the alloys were studied using electron microscopy, X-ray diffraction analysis, and differential scanning calorimetry. It was found that in the initial state, the alloys with 25 and 30 at.% Cu have an amorphous-crystalline structure, undergoing a one-stage polymorphic crystallization of the amorphous state on heating in a calorimeter with the formation of austenite B2 phase, which on cooling to room temperature proceeds to orthorhombic B19 phase due to the martensitic transformation. It is shown that the alloys with 35 and 40 at.% Cu at quenching become amorphous, and upon heating, two-stage crystallization occurs (primary and eutectic) with the formation of a two-phase structure - the tetragonal B11 (TiCu) phase with a small fraction of B2 phase. Moreover, an increase in the copper content leads to a decrease in the onset temperature of crystallization.
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