Cyclization of Rouse chains at long- and short-time scales

We have investigated cyclization of a Rouse chain at long and short times by a Langevin dynamics simulation method. We measure St, the fraction of nonreacted chains, for polymerizations ranging from Z=5 to Z=800 and capture distances ranging from a=0.1b to a=8b where b is the bond length. Comparison is made with two theoretical approaches. The first is a decoupling approximation used by Wilemski and Fixman to close the relevant master equation [J. Chem. Phys. 58, 4009 (1973); 60, 866 (1974)]. The second approach is the renormalization group arguments of Friedman and O'Shaughnessy [Phys. Rev. Lett 60, 64 (1988); J. Phys. II 1, 471 (1991)]. We find that at long times St decays as a single exponential with rate k(infinity). The scaled decay rate K=k(infinity)tauR appears to approach a constant value independent of the capture distance for very large chains consistent with the predictions of both the renormalization group (RG) and Wilemski-Fixman closure approximation. We extract K*, the long chain limit of K, from the fixed point a=a* where K is independent of Z. K* is larger than both the RG and closure predictions but much closer to the RG result. More convincing evidence for the RG analysis is obtained by comparing the short-time decay of St to long-time results. The RG analysis predicts that dSdt should decay as a power law at early times and that the exponent in the power law is related to K by a simple expression with no free parameters. Our simulations find remarkable agreement with this parameter-free prediction even for relatively short chains. We discuss possible experimental consequences of our result.     

Molecular properties of adsorbates that affect the growth kinetics of archerite (KDP)

We explore the molecular properties of adsorbates that dramatically affect growth kinetics and morphology of the [100] face of archerite, also known as potassium dihydrogen phosphate (KH(2)PO(4) or KDP). Aqueous complexes of Al(III), Fe(III), and Cr(III) are known to affect KDP growth, albeit the actual step-pinning complex(es) is unknown. Using in situ atomic force microscopy (AFM), we measured changes in the growth rates of the [100] face of KDP with supersaturation in the presence of trace amounts of [Co(NH(3))(6)](3+), [Fe(CN)(6)](3-), eta(1)-[Co(NH(3))(5)HPO(4)](+), eta(2)-[Co(NH(3))(4)HPO(4)](+), eta(2)-[Co(NH(3))(4)P(2)O(7)H(2)](+), and [Rh(H(2)PO(4))(2)(H(2)O)(4)](+). Unlike in experiments using trivalent-metals, these complexes do not change stoichiometry or structure on the timescale of step motion, so that the actual molecular interactions that affect growth can be studied. Step velocity and morphology on the [100] face are unaffected by outer-sphere coordination complexes of either charge. Surprisingly, inner-sphere phosphatoammine complexes do not affect growth rates regardless of how the phosphate group is coordinated to the metal. However, doping the growth solution with [Rh(H(2)PO(4))(2)(H(2)O)(4)](+) results in profound step pinning, matching the behavior of KDP surfaces grown in the presence of Rh(III) after an equilibration period. Not only is an inner-sphere phosphate group needed to dock a trivalent metal to the step edge, but compatible hydrogen bonding of the remainder of the inner-sphere ligands with the bulk lattice is also essential.     

Selective Hydrogenation of Acrolein Over Pd Model Catalysts: Temperature and Particle‐Size Effects

The selectivity in the hydrogenation of acrolein over Fe₃O₄‐supported Pd nanoparticles has been investigated as a function of nanoparticle size in the 220–270 K temperature range. While Pd(111) shows nearly 100 % selectivity towards the desired hydrogenation of the C=O bond to produce propenol, Pd nanoparticles were found to be much less selective towards this product. In situ detection of surface species by using IR‐reflection absorption spectroscopy shows that the selectivity towards propenol critically depends on the formation of an oxopropyl spectator species. While an overlayer of oxopropyl species is effectively formed on Pd(111) turning the surface highly selective for propenol formation, this process is strongly hindered on Pd nanoparticles by acrolein decomposition resulting in CO formation. We show that the extent of acrolein decomposition can be tuned by varying the particle size and the reaction temperature. As a result, significant production of propenol is observed over 12 nm Pd nanoparticles at 250 K, while smaller (4 and 7 nm) nanoparticles did not produce propenol at any of the temperatures investigated. The possible origin of particle‐size dependence of propenol formation is discussed. This work demonstrates that the selectivity in the hydrogenation of acrolein is controlled by the relative rates of acrolein partial hydrogenation to oxopropyl surface species and of acrolein decomposition, which has significant implications for rational catalyst design.     

Behavior of Starches Derived from Varieties of Maize Containing Different Genetic Mutations. III. Effects of Biopolymer Source on Starch Characteristics Including Paste Clarity

Abstract

Starch was extracted from three mutant maize genotypes (waxy, (wx), waxy shrunken 1 (wxsh1), and dull waxy (duwx). Each starch was found to have distinct physical and functional properties. Starch from wxsh 1 was found to have a slower rate of retrogradation, enhanced freeze-thaw stability, and greater clarity when compared to either wx or duwx. This clarity was stable over time. Neither the degree of clarity of the wxsh 1 paste nor its stability was affected by the presence of salt or sugar. Starch from several different backgrounds containing duwx produced during several growing seasons, had a smaller particle size distribution than either wx or wxsh1. Starch especially from duwx, had a distinct Brabender Visco-Amylograph profile.