We introduce chiral rotational spectroscopy, a technique that enables the determination of the orientated optical activity pseudotensor components B XX , B Y Y , 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 centers. A basic design for a chiral rotational spectrometer together with a model of its functionality is given. Our proposed technique offers the more familiar polarizability components α XX , α Y Y , and α ZZ as by-products, which could see it find use even for achiral molecules.