We present mode-coupling equations for the description of the slow dynamics
observed in supercooled molecular liquids close to the glass transition. T
he mode-coupling theory (MCT) originally formulated to study the slow relax
ation in simple atomic liquids, and then extended to the analysis of liquid
s composed by linear molecules, is here generalized to systems of arbitrari
ly shaped, rigid molecules. We compare the predictions of the theory for th
e q-vector dependence of the molecular nonergodicity parameters, calculated
by solving numerically the molecular MCT equations in two different approx
imation schemes, with "exact" results calculated from a molecular dynamics
simulation of supercooled water. The agreement between theory and simulatio
n data supports the view that MCT succeeds in describing the dynamics of su
percooled molecular liquids, even for network forming ones. [S1063-651X(99)
06210-8].