  We develop a model of molecular binding based on the Bohr-Sommerfeld
description of atoms together with a constraint taken from conventional quantum
mechanics. The model can describe the binding energy curves of H2, H3 and other
molecules with striking accuracy. Our approach treats electrons as point
particles with positions determined by extrema of an algebraic energy function.
Our constrained model provides a physically appealing, accurate description of
multi-electron chemical bonds.
