We report on a Chandra line spectrum observation of the O supergiant zeta O
rionis (O9.7 Ib). A 73.4 ks High-Energy Transmission Grating Spectrometer o
bservation shows a wide range of ionization stages and line strengths over
the wavelength range of 5-26 Angstrom. The observed emission lines indicate
a range in temperature of 2-10 MK, which is consistent with earlier X-ray
observations of zeta Ori. Many lines are spectrally resolved showing Dopple
r broadening of 900 +/- 200 km s(-1). The observed He-like ions (O VII, Ne
IX, Mg XI, and Si XIII) provide information about the spatial distribution
of the X-ray emission. Although the observations support a wind distributio
n of X-ray sources, we find three conflicting results. First, line diagnost
ics for Si XIII indicate that this line emission forms very close to the st
ellar surface, where the density is of order 10(12) cm(-3), but the velocit
y there is too small to produce the shock jump required for the observed io
nization level. Second, the strong X-ray line profiles are symmetric and do
not show any evidence of Doppler-blueshifted line centroids, which are exp
ected to accompany an outwardly moving source in a high-density wind. Third
, the observed velocity dispersions do not appear to correlate with the ass
ociated X-ray source radii velocities, contrary to expectations of wind-dis
tributed source models. A composite source model involving wind shocks and
some magnetic confinement of turbulent hot plasma in a highly nonsymmetric
wind appears to be needed to explain the line diagnostic anomalies.