The principal task of this thesis was to develop theoretical expressions which would enable the Rayleigh and Raman optical activity of any chiral molecule to be calculated. This was carried out by generalising an existing theoretical construct- the so-called simple two-group model. The generalised two-group model is based on a bond polarizability scheme: with the appropriate bond polarizability data together with a reliable normal coordinate analysis of a chiral molecule its Rayleigh and Raman optical activity can be calculated.