  Interstellar dust models are facing a "carbon crisis", so called because
recent observations suggest that the abundance of carbon available for dust in
the interstellar medium is less than half of the amount required to be tied up
in graphite grains in order to explain the interstellar extinction curve.
  This paper presents an detailed assessment of a newly-proposed dust model
(Mathis 1996), in which the majority of the interstellar carbon is contained in
composite and fluffy dust (CFD) grains. Per unit mass, these grains produce
more UV extinction, and can therefore account for the interstellar extinction
curve with about half the carbon required in traditional dust models.
  The results of our analysis show that the CFD model falls short in solving
the carbon crisis, in providing a fit to the UV-optical interstellar extinction
curve. It also predicts a far-infrared emissivity in excess of that observed
with the COBE/DIRBE and FIRAS instruments from the diffuse interstellar medium.
The failure of the new model highlights the interrelationships between the
various dust properties and their observational consequences, and the need to
satisfy them all simultaneously in any comprehensive interstellar dust model.
  In light of these problems, the paper examines other possible solutions to
the carbon crisis.
