AbstractThe present status of the theory of the optical properties of polypeptides is discussed in a general way. Arguments are presented that indicate that the interaction of exciton bands in helices will occur in a tensorial way with the parallel polarized bands normally having stronger interactions than the perpendicular polarized bands, with only small cross‐interactions. The net result is an anisotropy of the hyperchromism of the ππ* band and an imbalance of the rotatory strengths of the parallel and perpendicular components. According to the evidence of Mandel and Holzwarth [(1973) Biopolymers 13, 655–674], this is, in fact, the origin of the strongly nonconservative CD bands of polyproline II and related structures. The implications of anisotropic hyperchromicity on the interpretation of the linear dichroism of crystals is discussed.