Structural relationship between crystalline and amorphous states in Cu–(Zr, Ti) binary systems

Abstract

Abstract This paper focuses on the revelation of structural relationship of the ordered and disordered states in Cu–(Zr, Ti) binary systems. The atomic radial distributions in real space and the electron scattering behavior in reciprocal space between crystalline and amorphous phases are compared. The spherical-periodic order, characteristic of disordered structures, is clearly present in the crystalline phases, suggesting the structural homology of crystalline and the corresponding amorphous states. Furthermore, the diameters of Brillouin- or Jones-zones at the Fermi level in the crystalline and amorphous states are also similar and they fall close to those of the calculated Fermi spheres, verifying the resonance between the static atomic structure and the electron wave.