Macromolecules, Vol.29, No.7, 2537-2542, 1996
Model-Calculations of the C-13 NMR Shieldings in the Crystalline Cyclic Pentamer of Poly(P-Phenylene Sulfide)
The cyclic pentamer of poly(p-phenylene sulfide) [c-(PS)(5)] cystallizes in an interesting manner. Though only a single c-(PS)(5) molecule constitutes the asymmetric unit of its crystalline unit cell, the conformation about and the geometry of the C-S bonds vary widely around the cycle. The high-resolution, solid-state C-13 NMR spectrum of c-(PS)(5) reflects this heterogeneity of structural environments, where multiple resonances (at least six) are observed for both protonated (C-P) and nonprotonated (C-Q) carbons spread over 18 and 8 ppm chemical shift ranges, respectively. Crystalline c-(PS)(5) provides us with a unique model system with which we may test our ability to calculate NMR nuclear shieldings with ab initio quantum mechanical methods. For this purpose, a gauge including atomic orbital (GIAO) approach was implemented with the use of locally dense basis sets. Diphenyl sulfide was adopted as a fragment model for c-(PS)(5), with the S, C-Q, and two C-P atoms on a single adjacent phenyl ring treated with the locally dense 6-311G(d,p) basis set, while the remaining atoms were treated at the 3-21G level. This approach required 10 calculations to treat each of the structurally unique S-C-Q-(C-P)(2) fragments in c-(PS)(5). Calculated nuclear shieldings and a C-13 NMR spectrum generated from them resemble the observed C-13 NMR spectrum of crystalline c-(PS)(5). The calculated nuclear shieldings are strongly correlated with the conformation (dihedral angle) about the C-Q-S bonds, exhibiting a cos(2) theta(PQ) dependence on the dihedral angle B-PQ. Application of the same conformational dependence of nuclear shieldings found for c-(PS)(5) to-crystalline and liquid diphenyl sulfide permitted an understanding of their observed C-13 NMR spectra as well as their rigid, crystalline and flexible, liquid state conformations.