  We present high resolution (R=50,000) spectra at 2.2 um of 16 young stars in
the rho Ophiuchi dark cloud. Photospheric features are detected in the spectra
of 11 of these sources, all Class II young stellar objects. In 10 of these
sources, we measure effective temperatures, continuum veiling, and vsini
rotation from the shapes and strengths of atomic photospheric lines by
comparing to spectral synthesis models at 2.2 um. We measure surface gravities
in 2 stars from the integrated line flux ratio of the 12CO line region at 2.3
um and the Na I line region at 2.2 um. Although the majority (8/10) of the
Class II stars have similar effective temperatures (3530 K +/-100 K), they
exhibit a large spread in bolometric luminosities (factor ~8), as derived from
near-IR photometry. In the two stars where we have surface gravity measurements
from spectroscopy, the photometrically derived luminosities are systematically
higher than the spectroscopic luminosities. Our spectroscopic luminosities
result in older ages on the H-R diagram than is suggested by photometry at J or
K. Most of our sources show a substantially larger amount of continuum excess
than stellar flux at 2.2 um. The derived veiling values at K appear correlated
with mid-IR disk luminosity, and with Brackett gamma equivalent width,
corrected for veiling. The derived vsini rotation is substantial (12-39 km
s-1), but systematically less than the rotation measured in Class I.5 (flat)
and Class I sources from other studies in Ophiuchus.
