The structural layers of TiCl3 consist of two monoatomic layers of chl
orine atoms octahedrally coordinated to intercalating Ti atoms. Mechan
ical (grinding) and/or chemical treatment of the regular alpha- or gam
ma-forms may produce the disordered delta-form, wherein shifts and rot
ations between neighboring layers give rise to the largest disorder co
mpatible with close-packing of the chlorine layers, accompanied by red
uction of crystallite size both along the layers and across them. A Be
rnoullian statistical model fully describes the statistical structure
of the polycrystalline samples in terms of 4 parameters, two of them r
elating with the stacking disorder, the other two with crystallite siz
e distribution. The catalytic sites for isospecific alpha-olefin polym
erization lie on the side edges of the structural layers. It is shown
that Ti atoms on these edges possess two isochiral free valencies, ena
bling them to exchange the roles of the (Ti-coordinated olefin) and of
the (Ti-growing chain) bonds at each polymerization step with no chan
ge of the local chirality, in analogy with the metallocene-based isosp
ecific catalysts.