We have observed millimeter wavelength spectra from the narrow-line ra
dio galaxy Cygnus A in a search for CO(1-0) absorption from a hypothes
ized dusty molecular torus surrounding the central nucleus. We find no
evidence for CO absorption. This result may be consistent with a mode
l in which the torus is composed of small, opaque clouds with a coveri
ng factor of roughly unity along lines of sight that pass through the
torus; the clouds must be small compared to the size of the compact ra
dio source. If the CO is thermally excited, the space between the clou
ds must be very clear of molecular gas, perhaps implausibly so. Howeve
r, it has been suggested to us [M. Rees, private communication (1993)]
that the presence of the strong compact radio source could result in
a very high rotation temperature for molecules in a compact torus, pos
sibly accounting for the lack of absorption. In the absence of such no
nthermal excitation effects, our observations argue against tori compo
sed of diffuse molecular gas, or ones where the clouds have a covering
factor much greater than 1 through the torus.