ABSTRACT

H2 is the simplest molecule, yet a proper understanding of its

properties requires the application of all the principles of quantum

mechanics. The chemical bond between two hydrogen atoms is

determined by the electronic wavefunction, which, in its ground

state, is characterized by zero electronic spin. The total energy of the

H2 molecule as a function of nuclear separation is shown in Fig. 6.1.

This potential energy curve has a minimum for a separation 0 = 0.741 A˚ and a well depth U0/kB = 55, 090 K. The nuclear degrees of freedom of the H2 molecule are conveniently separated into the

center-of-mass coordinates and the relative coordinate along of the

axis joining the two atoms.