MOLECULAR-WEIGHT DEPENDENCE OF THE OPTICAL-ROTATION OF POLY((R)-2-DEUTERIO-N-HEXYL ISOCYANATE)

The extraordinarily large optical rotations [alpha] of poly((R)-2-deut erio-n-hexyl isocyanate) were investigated with a particular emphasis on the chain length dependence of [alpha]. Data for [alpha] in hexane, 1-chlorobutane, and dichloromethane were obtained as functions of tem perature and degree of polymerization N and analyzed by a statistical mechanical theory developed recently (Lifson, S.; Andreola, C.; Peters on, N. C.; Green, M. M. J. Am. Chem. Sec. 1989, 111, 8850). The theory is based on a model whereby a polymer chain consists of an alternate sequence of M helix (left-handed) and P helix (right-handed), interrup ted by helix reversal points, and [alpha] originates from the excess p resence of the P helix over the M helix due to the chiral substitution of a deuterium atom on the side chain. Detailed analysis of [alpha] v s N data substantiated the validity of the theory and allowed a separa te estimate of enthalpic and entropic contributions to the isotope eff ect, revealing that the P helix dwells in a slightly narrow but deep e nergy well in the conformational space compared with the M helix. In h exane at 25 degrees C, this isotope effect favors the P helix over the M helix by 0.74 cal mol(-1) on a monomer unit basis, implying that th e P helix would exist in excess of the M helix only by 0.12%. However, for a long chain with N = 2000, this minute excess is amplified by th e cooperative mechanism to 67:33 in [alpha], whereas the helix reversa l costs 3900 cal mol(-1) and appears only once in 762 units on the ave rage.