The molecular bonding in a diatomic molecule such as the nitrogen (N2) molecule can be modeled by the Lennard- Jones potential, which has the form

where x is the separation distance between the two nuclei and x0, and U0 are constants determine in terms of these constants, the following:
a) the corresponding force function;
b) the equilibrium separation x0, which is the value of x for which the two atoms experience zero force from each other; and
c) The nature of the interaction (repulsive or attractive) for separations larger and smaller than x0.
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