We present spectra of hyperfine resolved vibrational levels of the A(1
) Sigma(u)(+) and 1(3) Sigma(g)(+) states of Li-6(2) and Li-7(2) obtai
ned via photoassociation of colliding ultracold atoms in a magneto-opt
ical trap. A simple first-order perturbation theory analysis accuratel
y accounts for the frequency splittings and relative transition streng
ths of all observed hyperfine features. Assignment of the hyperfine st
ructure allows accurate determination of a vibrational level center of
gravity, which significantly decreases the experimental uncertainty o
f vibrational energies. Differences in the spectra of Li-6(2) and Li-7
(2) are attributed to quantum statistics. The 1(3) Sigma(g)(+) series
obeys Hund's case b(beta S) coupling and the hyperfine constant is ext
racted for both isotopes.