  In this paper, we calculate new line lists and opacities for the 12 bands of
the A$^6\Sigma^{+}$ -- X$^6\Sigma^{+}$ transitions of the CrH molecule.
Identified in objects of the new L dwarf spectroscopic class (many of which are
brown dwarfs), as well as in sunspots, the CrH molecule plays an important role
in the diagnosis of low-temperature atmospheres. As a tentative first
application of these opacities, we employ our new theoretical CrH data in an
atmospheres code to obtain a CrH/H$_2$ number ratio for the skin of the L5
dwarf 2MASSI J1507038-151648 of $\sim 2-4\times 10^{-9}$, in rough agreement
with chemical equilibrium expectations. Since in previous compilations the
oscillator strength was off by more than an order of magnitude, this agreement
represents a modest advance. However, in order to determine the CrH abundance
in an L dwarf atmosphere, silicate clouds need to be incorporated into the
model, and cloud modeling is still in a primitive stage of development.
Nevertheless, one important step in L dwarf modeling is a reliable CrH opacity
and this is what we have here attempted to provide.
