We determine the radial dipole moment between the 2S and 2P states of
atomic lithium by analyzing the long-range vibrational eigenenergies o
f the singly excited diatomic molecule. The result can be expressed in
terms of the 2P(1/2) radiative lifetime of Li-7, which is found to be
27.102(2)(7) ns. This result agrees with most current atomic-structur
e calculations and resolves the long-standing disagreement with previo
us experiment. The current level of precision is sensitive to relativi
stic effects in the atomic-structure calculation and to non-Born-Oppen
heimer and radiation retardation effects in the molecule.