The structural rules which govern the epitaxial crystallisation of pol
ymers - and especially polyolefins - on organic substrates are establi
shed. Illustrative examples involve isotactic and syndiotactic polypro
pylenes and poly(1-butene). Investigation of the film structure by ele
ctron microscopy, electron diffraction and atomic force microscopy rev
eals some unprecedented features, including in particular the selectio
n of the contact plane according to the chirality of its constituent h
elices, and direct observation of both right and left hands of polyole
fin helices.