Some bound states for the He₂²⁺ ion

Abstract

Accurate potential energy curves for the lowest excited state of ¹Σ _g ⁺ symmetry and for the lowest state of ¹Σ _u ⁺ symmetry have been determined for the He₂ ²⁺ ion. The most flexible variational wavefunction used contained 153 linear and two non-linear parameters. The basis functions explicitly included interelectronic dependence and were constructed so that they led to the correct form for the dissociation products. The results are considered to be more accurate than those hitherto published. As well, and for the first time, the rovibronic energies for the two states were calculated.