We present quantitative observational investigations into the importance of
rotationally induced mixing in late-O stars. First, we conduct non-LTE, hy
drostatic, plane-parallel H/He model-atmosphere analyses of the optical spe
ctra of three of the most rapidly rotating late-O near-main-sequence stars
known: HD 93521 (O9.5 V), HD 149757 (zeta Ophiuchi; O9.5 V), and HD 191423
(ON9 III: n), all of which have equatorial rotation velocities of similar t
o 430 km s(-1) and omega (e)/omega (e)(crit) similar or equal to 0.9. The a
nalysis allows for the expected (von Zeipel) variation of T-eff and log g w
ith latitude. These three stars are found to share very similar characteris
tics, including substantially enhanced surface-helium abundances (y similar
or equal to 0.2). Secondly, we compare the distribution of projected rotat
ional velocities for ON and morphologically normal dwarf O stars, and demon
strate that the ON stars are drawn from a population with more rapid rotati
on. The results provide qualitative support for rotationally induced mixing
, although there remain discrepancies between atmospheric and evolutionary
models (which we show employ inappropriate mass-loss rates for late-O main-
sequence stars). We show that the most rapid rotator known, HD 191423, is a
n ON star, and note the implied disparity between O/ON morphology and surfa
ce helium abundance; we discuss consequences for the interpretation of spec
tral morphology in O-type main-sequence stars. We demonstrate a new, purely
spectroscopic, method of distance determination for rapid rotators, and th
ereby confirm that HD 93521 lies at similar to 2 kpc, and is not, as previo
usly suggested, a low-mass Population II star. Finally, our models contradi
ct earlier claims of strongly differential surface rotation, and are consis
tent with uniform angular velocity at the surface.