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Comparison of the electron localization function and deformation electron density maps for selected earth materials
1Departments of Geosciences, Materials Science and Engineering, and Mathematics, Virginia Tech, Blacksburg, Virginia 24061, USA.
Electron localization function (ELF) mapping corresponds to deformation electron density maps for earth materials. This suggests a topological relationship between electron density, its Laplacian, and ELF.
Area of Science:
- Solid-state chemistry
- Quantum chemistry
- Materials science
Background:
- The electron localization function (ELF) is a quantum mechanical descriptor.
- Deformation electron density maps visualize charge redistribution in chemical bonds.
- Understanding electron distribution is crucial for materials properties.
Purpose of the Study:
- To compare electron localization function (ELF) with deformation electron density maps.
- To investigate the topological relationship between ELF and electron density.
- To explore implications for earth materials and molecular systems.
Main Methods:
- Computational analysis of electron localization function (ELF).
- Comparison with experimental and theoretical deformation electron density maps.
- Topological analysis of electron density and its Laplacian.
Main Results:
- A direct correspondence was found between ELF domains and deformation electron density domains.
- The number and arrangement of localized electron domains are consistent between ELF and deformation density.
- This indicates a homeomorphic relationship between the two mapping methods.
Conclusions:
- The electron localization function (ELF) and deformation electron density are homeomorphically related.
- This relationship extends to the Laplacian of the electron density distribution.
- Findings provide a unified view of electron localization in diverse chemical systems.
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