Unprecedented phenomena were discovered by tempering the Ti 4Fe 7Al alloy quenched from the b (bcc) field. The alloy became very hard when it was tempered at 450°C for several minutes, and severely rugged surface was generated. The inverse shape recovery phenomenon was also discovered when a quenched specimen that had been bent at room temperature was heated. The tempered microstructure showed almost b grains and some of the usual martensitic acicular structure areas. However, electron back scattering pattern (EBSP) measurements showed that the b like grain was not the bcc structure but was the hcp or orthorhombic structure. X ray diffraction (XRD) measurements clarified that an orthorhombic a″structure (a=0.299 5 nm, b= 0.491 3 nm, c=0.465 9 nm) was formed from the b phase by tempering. Moreover, this a″structure was confirmed to be a type of martensitic transformation because no concentration distribution was detected in scanning transmission electron microscopy energy dispersive spectroscopy (STEM EDS) analysis of the microstructure. It was suggested that the essential M s point of the alloy should be higher than room temperature; however, the martensite transformation could not operate by fast quenching.The newly discovered a″martensite is formed without atomic diffusion by heating. When the b grain transforms into the single a″ variant, a very huge lattice strain is generated, resulting in the severely rugged surface or the inverse shape recovery phenomenon. Keywords: martensite, M s point, heat treatment, variant, surface roughness, shape recovery