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Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

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Electron-pair radial sum and difference density functions.

Toshikatsu Koga¹, Masahiro Sekiya

¹Department of Applied Chemistry, Muroran Institute of Technology, Muroran, Hokkaido 050-8585, Japan. koga@mmm.muroran-it.ac.jp

The Journal of Chemical Physics

|May 20, 2009

Summary

We introduce new electron-pair density functions, S(s) and T(t), to study electron-electron radial holes. These functions reveal how electron-pair properties impact atomic structures, with implications for helium and lithium atoms.

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Area of Science:

Quantum chemistry
Atomic physics
Computational physics

Background:

Understanding electron-pair behavior is crucial in atomic physics.
Electron-electron radial holes are key features in electron distribution.
Existing methods may not fully capture the nuances of electron-pair correlations.

Purpose of the Study:

Introduce novel electron-pair radial sum S(s) and difference T(t) density functions.
Clarify fundamental properties of these new density functions.
Investigate the impact of radial holes on electron-pair distributions.

Main Methods:

Development of electron-pair radial sum S(s) and difference T(t) density functions.
Theoretical analysis of the properties of S(s) and T(t).
Numerical calculations for specific atomic states (Helium: 1s2s (1)S, (3)S; Lithium: ground state).

Main Results:

S(s) and T(t) functions are defined and their properties elucidated.
The presence of radial holes (T(0)=0) significantly influences the sum density S(s).
Numerical examples demonstrate the application to helium and lithium atoms.

Conclusions:

The S(s) and T(t) functions provide a new perspective on electron-pair correlations.
Radial holes have a non-trivial effect on electron distribution, impacting S(s).
The introduced functions are valuable tools for studying electron-pair behavior in atoms.