Study of atomic properties for subshells of the systems have Z=12-16 by using Hartree-Fock approximation

The atomic properties are important to describe of the dynamics in atoms for the two-electron atomic systems studied in this work include the atom Mg, and like ions Al⁺¹, Si⁺², P⁺³ and S⁺⁴, Hartree-Fock approximation are used to determine the atomic properties like one electron radial density function D(r1)and its expectation value $\langle {r}_{1}^{n}\rangle$, inter electron distribution function f(r₁₂) and its expectation value $\langle {r}_{12}^{n}\rangle$, standard deviation for one and two electrons Δr₁ Δr₁₂, expectation values for all energies ⟨V_en⟩, ⟨V_ee⟩, ⟨V⟩, ⟨T⟩, ⟨E⟩