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Modeling the Pauli potential in the pair density functional theory.

C Amovilli¹, A Nagy

¹Dipartimento di Chimica e Chimica Industriale, Università di Pisa, Pisa, Italy.

The Journal of Chemical Physics

|December 3, 2008

Summary

This summary is machine-generated.

A new method determines the pair density for atomic systems by solving a two-particle problem. This approach yields an analytical expression for the Pauli potential, validated with beryllium and other ions.

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Area of Science:

Quantum Chemistry
Atomic Physics
Computational Chemistry

Background:

Determining the pair density is crucial for understanding electron correlation in atomic systems.
Accurate pair density calculations are essential for predicting atomic properties.

Purpose of the Study:

To present a novel method for calculating the pair density in atomic systems.
To derive an analytical expression for the Pauli potential.
To validate the method through test calculations.

Main Methods:

Solving a single auxiliary equation within a two-particle problem framework.
Developing a new approach to determine the Pauli potential.
Deriving an analytical expression for the pair density.

Main Results:

A reliable method for determining the pair density was established.
An analytical expression for the Pauli potential was successfully derived.
The method was tested on beryllium (Be) and isoelectronic carbon (C2+) and oxygen (O4+) ions, showing reliable results.

Conclusions:

The presented method offers an efficient way to calculate pair densities in atomic systems.
The derived analytical expression for the Pauli potential is a significant advancement.
The findings are applicable to various atomic and ionic species.