Synthesis of Mid-Chain Functionalized Polymers

Polymers with mid-chain alkoxyamine functionality were synthesized by activating monohalogenated polymers in the presence of nitroso or nitrone radical traps. The resulting polymers were either polystyrene (PSt) homopolymers with a mid-chain alkoxyamine or PSt-poly(methyl acrylate) (PMA) diblock copolymers with an alkoxyamine unit at the junction between the segments. Monohalogenated polymers where synthesized by atom transfer radical polymerization (ATRP) and were then reacted to form polymer radicals in the presence of a radical trap, nitrone or nitroso. When only polystyrene radicals were reacted with the radical trap a dimer was formed with an alkoxyamine functionality in the center of the polymer chain. This functionality allowed the polymer chain to be cleaved in order to visualize the extent of the alkoxyamine functionality incorporation into the polymer chains. It was found that near quantitative alkoxyamine mid-chain functionality could be achieved by activating the PStBr in the presence of 10 equivalents of nitrone, 5 equivalents of copper bromide, and 2 equivalents of copper metal. Further reducing the amount of copper metal led to incomplete coupling, while increasing the equivalents beyond 2 generated polymer dimers with less than quantitative mid-chain functionality. Monochlorinated polystyrene (PStCl) precursors gave much poorer coupling results compared to reactions with PStBr, which is consistent with the stronger C-Cl bond resisting activation and the formation of the polystyryl radicals. When poly (methyl acrylate) (PMABr) is reacted with PStBr in the presence of a nitroso group at reduced temperatures (30 oC) block copolymers were selectively formed with an alkoxyamine functionality in the center. This was done by first activating the PSt-Br to form a polymer radical that would react with the radical trap to form a persistent radical on the oxygen. The PMA-Br, once activated, reacted with the radical on the oxygen to form the block copolymer. To test the amount of functionality incorporated, a coupling reaction was performed with no nitroso present, and found that no reaction occurred. This showed that the radical trap is essential for the coupling to occur, and cleavage of the diblock indicated that the alkoxyamine functionality was indeed incorporated into the diblock.

Understanding Bile Micelle Chiral Interactions

Bile salts are known to aggregate into micelles in biological systems; however, the fundamental structure and dynamics of bile molecule micelle formation are poorly understood. Previous studies have established that the bile salt cholate is capable of performing chirally selective micellar electrokinetic capillary chromatography (MEKC) separations of model racemic binaphthyl compounds 1,1¿-binaphthyl-2,2¿-diyl hydrogen phosphate (R,S-BNDHP) and 1,1¿-bi-2-naphthol (R,S-BN). Nuclear magnetic resonance (NMR) has been established as a complementary technique for understanding chiral selectivity and micelle formation events based on changes in proton chemical shifts of the probe molecules BNDHP and BN as well as of cholate. This work investigated the effects of the probe molecule, the alkali cation identity and temperature on cholate micelle aggregation and MEKC separations of R,S-BN and R,S-BNDHP. The probe molecule was found to mediate micelle formation by MEKC and proton NMR. A low (0.1 mM) concentration of probe was found to have minimal effects on micellization events detected by proton NMR while higher probe concentration (2.5 mM) was found to mediate micellization causing micellization events to occur at lower cholate concentrations. This work also investigated the effects of alkali counterion on chiral separation. Generally, counterions with larger crystal cationic radius were found to cause greater chiral separation power. NMR data suggest that protons near the surface of the cholate micelle are most sensitive to the cation identity, suggesting a model of improved separation based on the cation sterically inhibiting binding of one isomer. Finally, the effect of temperature on MEKC separation was investigated. Separation power of R,S-BN and R,S-BNDHP appeared to increase linearly with temperature for 22.0 mM to 50.0 mM pH 12.0 cholate. In total, these results indicate that cholate aggregation is dependent on multiple conditions. Understanding the roles that these factors play in influencing cholate micellization can inform better separation in MEKC.

From the chiral magnetic wave to the charge dependence of elliptic flow

The quark-gluon plasma formed in heavy ion collisions contains charged chiral fermions evolving in an external magnetic field. At finite density of electric charge or baryon number (resulting either from nuclear stopping or from fluctuations), the triangle anomaly induces in the plasma the Chiral Magnetic Wave (CMW). The CMW first induces a separation of the right and left chiral charges along the magnetic field; the resulting dipolar axial charge density in turn induces the oppositely directed vector charge currents leading to an electric quadrupole moment of the quark-gluon plasma. Boosted by the strong collective flow, the electric quadrupole moment translates into the charge dependence of the elliptic flow coefficients, so that $v_2(\pi^+) < v_2(\pi^-)$ (at positive net charge). Using the latest quantitative simulations of the produced magnetic field and solving the CMW equation, we make further quantitative estimates of the produced $v_2$ splitting and its centrality dependence. We compare the results with the available experimental data.