In this paper we determine the electron distribution, the binding energy, and the ionic radius of the positive ammonium molecule ion. The general idea of our method is that the molecule is divided by a spherical surface which contains the protons and it is supposed, in our first approximation, that the charge of protons is distributed uniformly on this surface. Now, we we have inside our sphere a nitrogen nucleus, the charge of which is over compensated by ten electrons and so a N3−ion is formed. The whole formation can be regarded from the outside of the sphere as similar to the Na+ion, because the charge of the four protons has been added to the charge of the N nucleus. In a second approximation we pay attention to the fact that the protons are not exactly uniformly distributed on the spherical surface but on the points of a tetrahedron. We have taken into consideration the inhomogeneous field of protons by using the perturbation calculation. The ionic radius of our molecule ion is determined as usual in the statistical theory of atoms. Finally, we check our result with a cycle process. We do not use semi‐empirical parameters.
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