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

Area of Science:

• Materials Science
• Condensed Matter Physics
• Solid-State Chemistry

Background:

• Understanding the relationship between crystalline and amorphous phases is crucial for designing novel materials.
• Cu-(Zr, Ti) binary systems are technologically relevant metallic alloys with complex structural properties.

Purpose of the Study:

• To investigate the structural homology between ordered crystalline and disordered amorphous states in Cu-(Zr, Ti) binary systems.
• To compare atomic distributions and electron scattering behaviors across different phases.

Main Methods:

• Analysis of atomic radial distribution functions in real space.
• Comparison of electron scattering patterns in reciprocal space.
• Examination of Brillouin- or Jones-zone diameters at the Fermi level.

Main Results:

• Spherical-periodic order, typical of amorphous structures, was identified in crystalline phases.
• Structural homology was suggested between crystalline and amorphous states of Cu-(Zr, Ti).
• Similar Brillouin/Jones-zone diameters at the Fermi level indicate resonance between atomic structure and electron waves.

Conclusions:

• Crystalline and amorphous Cu-(Zr, Ti) systems exhibit significant structural homology.
• The findings support a unified understanding of ordered and disordered states in these alloys.
• A resonance between static atomic structure and electron wave behavior is confirmed.