G. Knothe, ISOMERISM AND SYMMETRY OF STACKED POLYMERIC PHTHALOCYANINES AND RELATED POLYMERS, Makromolekulare Chemie. Theory and simulations, 2(6), 1993, pp. 917-927
The number of isomers i(r,t) for stacked polymeric phthalocyanines in
which each phthalocyanine ring is tetrasubstituted or octasubstituted
with two different substituents (each benzene moiety substituted with
both substituents) is determined to be lim(x-->infinity) i(r,t) = 2m/1
6 where m is the number of substituted phthalonitrile molecules incorp
orated into the polymer and x is the number of phthalocyanine macrocyc
les (degree of polymerization; m = 4x). Specifically, for a stacked po
lymeric phthalocyanine with x = 2, there exist 26 isomers, and when x
= 3, there exist 298 isomers. The stacked polymeric phthalocyanines wi
th substituted phthalocyanine rings possess different symmetry groups
(D2h, D2d, C4h, C4, C2v or C(s); or E as sole symmetry operation). The
results are valid for stacking of other macrocycles similar to phthal
ocyanine such as porphyrins.