  We introduce chiral rotational spectroscopy: a new technique that enables the
determination of the orientated optical activity pseudotensor components
$B_{XX}$, $B_{YY}$ and $B_{ZZ}$ of chiral molecules, in a manner that reveals
the enantiomeric constitution of a sample and provides an incisive signal even
for a racemate. Chiral rotational spectroscopy could find particular use in the
analysis of molecules that are chiral solely by virtue of their isotopic
constitution and molecules with multiple chiral centres. The principles that
underpin chiral rotational spectroscopy could be exploited moreover in the
search for molecular chirality in space, which, if found, might add weight to
hypotheses that biological homochirality and indeed life itself are of cosmic
origin. A basic design for a chiral rotational spectrometer together with a
model of its functionality is given. Our proposed technique offers the more
familiar polarisability components $\alpha_{XX}$, $\alpha_{YY}$ and
$\alpha_{ZZ}$ as by-products, which could see it find use even for achiral
molecules.
