We investigate the odd and even character of the shielding response in a chiral molecule (modeled by a Ne-8 helix) when subjected to a chiral potential. We establish that the diastereomeric splittings are a measure of odd powers of V-odd. Implications for diastereomeric, splittings of Xe in handed cages with handed tethers are discussed. (C) 2004 American Institute of Physics.