Abstract
An upper bound is given for the maximum number, Nc, of negative particles (fermions or bosons or a mixture of both) of charge e that can be bound to an atomic nucleus of charge +ze. If z is integral then Nc<~2z. In particular, this is the first proof that H is not stable. For a molecule, Nc<~2Z+K1, where K is the number of atoms in the molecule and Z is the total nuclear charge.

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