The formation mechanism and the binding energy of the body-centred regular tetrahedral structure of He⁺₅

We propose the formation mechanism of the body-centred regular tetrahedral structure of the He⁺₅ cluster. The total energy curve for this structure has been calculated by using a modified arrangement channel quantum mechanics method. The result shows that a minimal energy of -13.9106 a.u. occurs at a separation of 1.14a₀ between the nucleus at the centre and nuclei at the apexes. Therefore we obtain the binding energy of 0.5202 a.u. for this structure. This means that the He⁺₅ cluster may be stable with a high binding energy in a body-centred regular tetrahedral structure.