We present a nine-point lambda = 1.3 mm continuum polarization map of the i
nner arcminute of the DR 21 cloud core. The polarization and position angle
s are very uniform, and the inferred magnetic field (P.A. similar to 75 deg
rees) is nearly orthogonal to the cloud elongation (P.A. similar to 7 degre
es). Applying the virial theorem and comparing the continuum polarimetry, w
e find that the magnetic field strength must be greater than a few mG to ha
ve a significant impact. Turbulent gas motions are probably a more signific
ant source of support against self-gravity in the cloud core than in the ma
gnetic held.
We also report a survey of the lambda= 1.3 mm polarization of 14 star-formi
ng cloud cores ([P] = 1.6%). The lambda = 1.3 mm distribution is similar to
the lambda = 100 mu m and lambda = 800 mu m polarization distributions in
the literature except that the 1.3 mm distribution peaks at P < 1%. We comp
ared our polarimetry of nine of the cloud cores to physical parameters deri
ved from far-infrared photometry in a homogeneous fashion. Consistent with
theoretical expectations, the polarizations of these cloud cores do not dep
end on the lambda=1.3 mm dust optical depth, emission temperature, or emiss
ivity spectral index. Although the sample is very small, it appears that th
e polarization is larger on average for the cloud cores with mean densities
of n(H2) > 1.5 x 10(7) cm(-3) than for those with n(H2) < 1.5 x 10(7) cm(-
3)
The sky-plane projection of the magnetic held lines in the seven elongated
cloud cores with 800 mu m or 1.3 mm polarization detections greater than 3
sigma appear randomly distributed with respect to the position angles of cl
oud core elongations. This implies that magnetic fields do not provide subs
tantial anisotropic support against self-gravity in this sample of star-for
ming cloud cores. The magnetic fields in the cloud cores also appear random
ly oriented with respect to the Galactic plane.