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Updated: May 7, 2026

Determining the Mechanical Strength of Ultra-Fine-Grained Metals
Published on: November 22, 2021
Lattice charge models and core level shifts in disordered alloys
1School of Physics and Astronomy, SUPA, The University of Edinburgh, Edinburgh EH9 3JZ, UK.
This study generalizes the linear charge model for alloys, providing a framework to understand core level binding energy shifts. The model explains disorder broadening in ternary alloys and deduces effective radii for core level spectroscopy in CuPd and CuZn systems.
Area of Science:
- Materials Science
- Solid-State Physics
- Computational Chemistry
Background:
- Core level binding energies are influenced by charge distributions and screening effects.
- Existing models for net atomic charges in alloys have limitations, particularly for multi-component systems.
Purpose of the Study:
- To generalize the linear charge model for alloys using the charge-excess functional model (CEFM).
- To derive analytical expressions for physical quantities like Madelung energy and disorder broadening.
- To apply the model to understand core level binding energy shifts in specific alloy systems.
Main Methods:
- Derivation of the CEFM energy function and analysis of its approximations.
- Investigation of a specific CEFM case with uniform local interaction strengths.
- Determination of model parameters ('geometric factors') and derivation of analytical expressions for physical quantities.
Main Results:
- The CEFM generalizes the linear charge model for alloys with more than two species.
- Charge screening universality increases with local interaction strength.
- Madelung energy and disorder broadening in ternary alloys are maximized at specific compositions.
- Effective radii for valence electron charge transfer in CuPd and CuZn alloys were deduced.
Conclusions:
- The CEFM provides a framework for rationalizing disorder broadening in alloys.
- Disorder broadening arises from an interplay of Madelung and intra-atomic electrostatic potentials.
- Deduced effective radii are consistent across different elements and systems, aiding X-ray photoelectron spectroscopy analysis.
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