Advanced Physical Research

ISSN Print: 2663-8436

ISSN Online: 3105-3548

Advanced Physical Research is an open access Journal, publishing fully peer-reviewed original and review papers as well as brief reports on topics in all areas of theoretical and applied physics. The journal provides a platform for researchers who wish to summarize a field of physics research and share this work as widely as possible. The published papers provide an overview of the main developments on a particular topic, with an emphasis on recent developments, and sketch an outlook on future developments.

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Hartree–Fock Analysis of Atomic Properties of Five–Electron Open-Shell Ions with Atomic Numbers (16–20)

Published: 12-10-2026

https://doi.org/10.62476/apr83467

Abstract

This work presents a comprehensive Hartree-Fock (HF) analysis of key atomic properties for five electron systems in their ground state, focusing on the ions S⁺¹¹, Cl⁺¹³, Ar⁺¹³, K⁺¹⁴, and Ca⁺¹⁵. The investigated quantities include the electron-electron radial density distribution D(r₁; r₂), one-electron radial density distribution D(r₁), two-particle density Γ_HF(r₁; r₂), interelectronic distribution function f(r₁₂), as well as expectation values, standard deviations, and energy expectation values for the 1s, 2s, and 2p shells. These parameters are essential for understanding electron correlation effects and the atomic physics and chemistry of the studied ions. All calculations were performed using a dedicated computational program developed in Mathcad 15, enabling precise evaluation of the above properties.