Direct dynamics classical trajectory simulations of the O+ + CH4 reaction at hyperthermal energies

A Born-Oppenheimer direct dynamics simulation of the O(+) + CH(4) reaction dynamics at hyperthermal energies has been carried out with the PM3 (ground quartet state) Hamiltonian. Calculations were performed at various collision energies ranging from 0.5 to 10 eV with emphasis on high energy collisions where this reaction is relevant to materials erosion studies in low Earth orbit and geosynchronous Earth orbit. Charge transfer to give CH(4)(+) is the dominant channel arising from O(+) + CH(4) collisions in this energy range, but most of the emphasis in our study is on collisions that lead to reaction. All energetically accessible reaction channels were found, including products containing carbon-oxygen bonds, which is in agreement with the results of recent experiments. After correcting for compensating errors in competing reaction channels, our excitation functions show quantitative agreement with experiment (for which absolute magnitudes of cross sections are available) at high collision energies (several eV). More detailed properties, such as translational and angular distributions, show qualitative agreement. The opacity function reveals a high selectivity for producing OH(+) at high impact parameters, CH(3)(+)/CH(2)(+)/H(2)O(+) at intermediate impact parameters, and H(2)CO(+)/HCO(+)/CO(+) at small impact parameters. Angular distributions for CH(3)(+)/CH(2)(+)/OH(+) are forward scattered at high collision energies which implies the importance of direct reaction mechanisms, while reaction complexes play an important role at lower energies, especially for the H(2)O(+) product. Finally, we find that the nominally spin-forbidden product CH(3)(+) + OH can be produced by a spin-allowed pathway that involves the formation of the triplet excited product CH(3)(+)(?(3)E). This explains why CH(3)(+) can have a high cross section, even at very low collision energies. The results of this work suggest that the PM3 method may be applied directly to the study of O(+) reactions with small alkane molecules and polymer surfaces.     

The role of vacancy defects and holes in the fracture of carbon nanotubes

We present quantum mechanical calculations using density functional theory and semiempirical methods, and molecular mechanics (MM) calculations with a Tersoff–Brenner potential that explore the role of vacancy defects in the fracture of carbon nanotubes under axial tension. These methods show reasonable agreement, although the MM scheme systematically underestimates fracture strengths. One- and two-atom vacancy defects are observed to reduce failure stresses by as much as 26% and markedly reduce failure strains. Large holes – such as might be introduced via oxidative purification processes – greatly reduce strength, and this provides an explanation for the extant theoretical–experimental discrepancies.     

Formation and properties of positively charged colloids based on polyelectrolyte complexes of biopolymers

Formation of colloids based on polyelectrolyte complexes (PECs) was mainly studied with synthetic polyelectrolytes. In this study, we describe the elaboration of positively charged PEC particles at a submicrometer level obtained by the complexation between two charged polysaccharides, chitosan as polycation and dextran sulfate (DS) as polyanion. The complexes were elaborated by dropwise addition of default amounts of DS to excess chitosan. Quasi-elastic light scattering was used to investigate in detail the influence of the characteristics of components (chain length, degree of acetylation) and parameters linked to the reaction of complexation (molar mixing ratio, ionic strength, concentration in polymer) on the sizes and polydispersity of colloids. Chain length of chitosan is the major parameter affecting the dimensions of the complexes, high molar mass chitosans leading to the largest particles. Variations of hydrodynamic diameters of PECs with the molar mass of chitosan are consistent with a mechanism of particle formation through the segregation of the neutral and then hydrophobic blocks of the polyelectrolyte complexed segments. Resulting particles display probably a structure constituted by a neutral core surrounded by a chitosan shell ensuring the colloidal stabilization. Such a structure was evidenced by measurements of electrophoretic mobilities revealing that the positive charge of particles was decreasing with pH, in relation with the neutralization of excess glucosamine hydrochloride moieties.     

Some New Error Estimates for Ritz--Galerkin Methods with Minimal Regularity Assumptions

New uniform error estimates are established for finite element approximations of solutions of second-order elliptic equations using only the regularity assumption . Using an Aubin--Nitsche type duality argument we show for example that, for arbitrary (fixed) sufficiently small, there exists an such that for

Here, denotes the norm on the Sobolev space . Other related results are established.

     

Purification of silicone oils for fluid experiments

Commercially produced silicone oils (polydimethylsiloxanes or PDMS) that are used in many fluid experiments typically contain a mixture of linear polymers with a distribution of molecular weights. This multicomponent constitution can cause undesirable effects in some experiments; we show one such effect in surface-tension-driven Bénard convection. We describe a simple distillation protocol for obtaining low viscosity single-component silicone oils from commercially available mixtures. For polymers with molecular weights 1000, our method yields purities of better than 95 %.We received assistance in this work from N. Tong, D. Sullivan, M. Moini, J. Ekerdt, S. Martin, and J. Crowley. We are grateful for helpful discussions with E. L. Koschmieder, W. D. McCormick, S. VanHook, and H. L. Swinney. We thank T. Zima and J. Morgan of the Dow Coming Corp. for providing both a reference sample of the n=10 polymer and gel permeation chromatograms of 10 cS Dow Coming 200^® silicone oil. This work was supported by NASA Microgravity Sciences and Applications Division Grant No. NAG3-1382.     

Synthesis and properties of nicked dumbbell and dumbbell DNA conjugates having stilbenedicarboxamide linkers

The synthesis and properties of nicked dumbbell and dumbbell DNA conjugates having A-tract base pair domains connected by rod-like stilbenedicarboxamide linkers are reported. The nicked dumbbells have one to eight dA-dT base pairs and are missing a sugar-phosphate bond either between the linker and a thymine nucleoside residue or between two thymine residues. Chemical ligation of all of the nicked dumbbells with cyanogen bromide affords the dumbbell conjugates in good yield, providing the smallest mini-dumbbells prepared to date. The dumbbells have exceptionally high thermal stability, whereas the nicked dumbbells are only marginally more stable than the hairpin structures on either side of the nick. The structures of the nicked dumbbells and dumbbells have been investigated using a combination of circular dichroism spectroscopy and molecular modeling. The base pair domains are found to adopt normal B'-DNA geometry and thus provide a helical ruler for studies of the distance and angular dependence of electronic interactions between the chromophore linkers.     

Sharp melting transitions in DNA hybrids without aggregate dissolution: proof of neighboring-duplex cooperativity

Similar to DNA-modified gold nanoparticles, comb polymer-DNA hybrids exhibit very sharp melting transitions that can be utilized in highly selective DNA detection systems. Current theories suggest that such sharp melting results from either a phase transition caused by the macroscopic dissolution of the aggregate or neighboring-duplex interactions in the close-packed environment between adjacent DNA duplexes. To delineate the contributions of each of these effects, an aggregate system based on polymer-DNA hybrids was designed to include both polymer-linked and partially untethered duplexes. When this hybridized system was subjected to thermal analysis, both types of duplexes exhibited sharp melting transitions. The very sharp melting transition displayed by the partially untethered DNA duplexes offers proof that neighboring-duplex interactions can indeed induce cooperativity. Contributions of this neighboring-duplex effect, as well as the enhanced stabilization observed in polymer-DNA:polymer-DNA aggregates, can be quantitatively assessed using a simple thermodynamic model. While neighboring-duplex interactions alone can lead to cooperative melting, the enhanced stabilization observed in polymer-DNA aggregates is a function of both neighboring-duplex interactions and multivalent or aggregate properties.     

Near-field spectroscopy of surface plasmons in flat gold nanoparticles

We use near-field interference spectroscopy with a broadband femtosecond, white-light probe to study local surface plasmon resonances in flat gold nanoparticles (FGNPs). Depending on nanoparticle dimensions, local near-field extinction spectra exhibit none, one, or two resonances in the range of visible wavelengths (1.6-2.6 eV). The measured spectra can be accurately described in terms of interference between the field emitted by the probe aperture and the field reradiated by driven FGNP surface plasmon oscillations. The measured resonances are in good agreement with those predicted by calculations using discrete dipole approximation. We observe that the amplitudes of these resonances are dependent upon the spatial position of the near-field probe, which indicates the possibility of spatially selective excitation of specific plasmon modes.