Hookean atom with four electrons: On the formation of a tetrahedral Wigner molecule in the weak trapping limit
Numerical results are presented on states {sup 5}S{sub u} and {sup 3}P{sub g} of the Hookean atom with four electrons. Using standard ab initio quantum chemistry methods, the quintet configuration is shown to be the ground state for the weak harmonic trapping constant k. For large k values, there is a crossover to the triplet {sup 3}P{sub g} ground state. Finally, it is concluded that the Coulombic potential energy approaches the localized electron limit of a tetrahedral Wigner molecule as the harmonic force constant k tends to zero.