The all-trans–all-isotactic and all-trans–all- syndiotactic structures for the 1,4-polymerization of 1,3-pentadiene are shown in Fig. 8-6. In naming polymers with both types of stereoisomerism, that due to cis–trans isomerism is named first unless it is indicated after the prefix poly . Thus, the all-trans–all-isotactic polymer is named as transisotactic 1,4-poly(1,3-pentadiene) or isotactic poly( E -3-methylbut-1-ene-1,4-diyl). The sp 3 stereocenter (i.e., C*) in XII is chirotopic , like the case of poly(propylene oxide), since the first couple of atoms of the two chain segments are considerably different. The isotactic structures are optically active while the syndiotactic structures are not optically active. The 1,4-polymerization of 1,4-disubstituted 1,3-butadienes leads to structure ( XIII ), which can exhibit tritacticity since the repeating unit contains three sites of steric isomerism—a double bond and the carbons holding R and R ’ substituents. Several different stereoregular polymers are possible with various combinations of ordered arrangements at the three sites. For example, polymer XIV possesses an erythrodiisotactic arrangement of and R0 groups and an all-trans arrangement of the double bonds. The polymer is named transerythrodiisotactic 1,4-poly(methyl sorbate) or diisotactic poly[erythro-3-(methoxycarbonyl)- 4-E-methylbut-1-ene-1,4-diyl]. All four diisotactic polymers (cis and trans, erythro and threo ) are chiral and possess optical activity. Each of the four disyndiotactic polymers possesses a mirror glide plane and is achiral. For symmetric 1,4-disubstituted 1,3-butadienes (R =R’), only the cis and transthreodiisotactic structures are chiral. Each of the erythrodiisotactic and threodisyndiotactic polymers has a mirror glide plane. Each of the erythrodisyndiotactic polymers has a mirror glide plane. 8-1f Other Polymers The polymerization of the alkyne triple bond (Secs. 5-7d and 8-6c) and ring-opening metathesis polymerization of a cycloalkene (Secs. 7-8 and 8-6a) yield polymers containing double bonds in the polymer chain. Cis–trans isomerism is possible analogous to the 1,4-polymerization of 1,3-dienes. Polymers containing rings incorporated into the main chain (e.g., by double- bondpolymerization of a cycloalkene) are also capable of exhibiting stereoisomerism. Such polymers possess two stereocenters—the two atoms at which the polymer chain enters and leaves each ring. Thus the polymerization of cyclopentene to polycyclopentene [IUPAC: poly(cyclopentane- 1,2-diyl)] is considered in the same manner as that of a 1,2-disubstituted ethylene. The four possible stereoregular structures are shown in Fig. 8-7. The erythro polymers are those in which there is a cis configuration of the polymer chain bonds entering and leaving each ring; the threo polymers have a trans configuration of the polymer chain bonds entering and leaving each ring. The threodiisotactic structure is chiral while the other three structures are achiral. The situation is different for an asymmetric cycloalkene such as 2-methylcyclopentene where both diisotactic structures are chiral, while both disyndiotactic structures are achiral.