Tellers Theorem, Chemical Potential, and Molecular Binding

11 Teller s Theorem, Chemical Potential, and Molecular Binding 

The conceptual difficulty to which we have referred is connected with the result of Teller41 that there is no molecular binding in the TF theory. This will be called Teller s theorem below and it means, of course, that there is no nuclear configuration in which the energy of the molecule is lower than that of the separated atoms. 

March and Parr12 also consider the chemical potential in the same limit. They argue that the meaning of = 0 in the Euler equation of the density description is that Np in this equation is a smaller-order term in the number of electrons than the other energy components. Thus gross features, of the kind exhibited in the energy relations (96)—(98), can be treated but the chemical potential and the nuclear-nuclear potential energy, require special care. 

Notwithstanding this, the above considerations suggest that a more refined theory, motivated by the density description, may be possible for some mole- 

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