  We show that the perturbation series for quarkonia energies diverges at large
orders. This results in a perturbative ambiguity in the energy that scales as
e^(-1/a*Lambda) where a is the Bohr radius of quarkonium and Lambda is the QCD
scale parameter. This ambiguity is associated with a nonperturbative
contribution to the energy from distances of order 1/Lambda and greater. This
contribution is separate from that of the gluon condensate.
