An endogenous multiple scattering method for the calculation of the elastic scattering cross sections of electron shape resonances in polyatomic molecu

A procedure is described for obtaining the scattering potential for elastic electron—molecule scattering within the one-electron overlapping sphere multiple scattering Xα method. The method has been used to calculate the total elastic electron scattering cross sections for the nitrogen, ethylene and 1,3,5-trifluorobenzene molecules, which compare well with experimental data.     

Structural dynamics of surfaces by ultrafast electron crystallography: experimental and multiple scattering theory

Recent studies in ultrafast electron crystallography (UEC) using a reflection diffraction geometry have enabled the investigation of a wide range of phenomena on the femtosecond and picosecond time scales. In all these studies, the analysis of the diffraction patterns and their temporal change after excitation was performed within the kinematical scattering theory. In this contribution, we address the question, to what extent dynamical scattering effects have to be included in order to obtain quantitative information about structural dynamics. We discuss different scattering regimes and provide diffraction maps that describe all essential features of scatterings and observables. The effects are quantified by dynamical scattering simulations and examined by direct comparison to the results of ultrafast electron diffraction experiments on an in situ prepared Ni(100) surface, for which structural dynamics can be well described by a two-temperature model. We also report calculations for graphite surfaces. The theoretical framework provided here allows for further UEC studies of surfaces especially at larger penetration depths and for those of heavy-atom materials.     

Rapid, accurate calculation of the s-wave scattering length

Transformation of the conventional radial Schro?dinger equation defined on the interval r ∈ [0, ∞) into an equivalent form defined on the finite domain y(r) ∈ [a, b] allows the s-wave scattering length a(s) to be exactly expressed in terms of a logarithmic derivative of the transformed wave function φ(y) at the outer boundary point y = b, which corresponds to r = ∞. In particular, for an arbitrary interaction potential that dies off as fast as 1/r(n) for n ≥ 4, the modified wave function φ(y) obtained by using the two-parameter mapping function r(y; ?r,β) = ?r[1 + 1/β tan(πy/2)] has no singularities, and a(s) = ?r[1 + 2/πβ 1/φ(1) dφ(1)/dy]. For a well bound potential with equilibrium distance r(e), the optimal mapping parameters are ?r ≈ r(e) and β ≈ n/2 - 1. An outward integration procedure based on Johnson's log-derivative algorithm [J. Comp. Phys. 13, 445 (1973)] combined with a Richardson extrapolation procedure is shown to readily yield high precision a(s)-values both for model Lennard-Jones (2n, n) potentials and for realistic published potentials for the Xe-e(-), Cs(2)(aΣ(u)(+)(3)), and (3, 4)He(2)(XΣ(g)(+)(1)) systems. Use of this same transformed Schro?dinger equation was previously shown [V. V. Meshkov et al., Phys. Rev. A 78, 052510 (2008)] to ensure the efficient calculation of all bound levels supported by a potential, including those lying extremely close to dissociation.     

Structural characterization and catalytic activities of copper complexes with pyridine-amine-phosphine-oxide ligand

A new tetradentate containing pyridine, amine and phosphine oxide donor systems (1) was synthesized by the condensation of o-diphenylphosphinoaniline with 2-pyridinecarbaldehyde. Reaction of 1 with equal molar amount of CuCl₂ and Cu(ClO₄)₂ provided the formation of [CuCl₂(1)] (4) and [[Cu(1)(H₂O)](ClO₄)₂] (5), respectively. The ligand 1 behaves as a tridentate in 4, while as a tetradentate in 5. Both complexes were characterized by EPR, UV-Vis spectroscopy and X-ray diffraction. Both copper(II) complexes are in a square-pyramidal geometry. Single crystal structure of the copper complex reveals that the copper center is surrounded by three nitrogen donors and two chloride for 4; three nitrogen donors, water and oxygen donor from the moiety of phosphine oxide for 5. Complexation of 1 with CuCl in dichloromethane resulted in the formation of the corresponding copper(I) species, which catalyzed the oxidation of benzylic alcohols under aerobic conditions.     

Time resolved multiple scattering of resonance photons

A simple one-dimensional model is used to calculate analytically the probability that a resonance photon is scattered exactlyn times within a finite region containing absorbing atoms. The probability distributions are used to analyze time dependent fluorescence light signals from the mercury 253.7 nm line with the mean number of scatteringss _m of about three. A comparison between exact one-dimensional results with more realistic two- and three-dimensional Monte-Carlo simulations of multiple scattering shows that the one-dimensional model is a good approximation for smalls _m and isotropic scattering. Therefore it may well serve as a fast method to analyze measured signals whereas fine details need more refined calculations.     

Quantum scattering calculation of the O(1D)+HBr reaction

Three-dimensional time-dependent quantum wave packet calculation for the O((1)D)+HBr reaction has been carried out using an accurate ab initio global potential energy surface [K. A. Peterson, J. Chem. Phys. 113, 4598 (2000)]. The calculations show that the initial state-selected reaction probabilities are dominated by resonance structures, and the lifetime of the resonance is generally in the subpicosecond time scale. The energy dependence of the reaction cross section is computed, which manifests still resonance structures, and is a decreasing function of the translational energy. The thermal rate constants are also computed, which are nearly independent on the temperature. The calculation results are discussed and compared to similar reaction with deep well.     

Series expansion calculation of the elastic neutron diffuse scattering: Ice Ih

A theoretical systematic method for the evaluation of the neutron elastic, coherent, diffuse scattering intensity of ice Ih is presented. For each Q vector, the latter is expressed directly as a series expansion of graphs. This technique is analogous to the Ising susceptibility calculation and avoids the explicit use of individual correlation functions. Therefore the series can be easily and exactly expanded to rather high orders. For the computation of the scattering intensity, the correlation model used is based on the ice rules and the normalized probability is written according to Nagle's formulation. The resulting series is convergent and theoretical isodiffusion patterns have been drawn by extending the series up to the 8th order; the accordance with experiment is good.     

Electrophoretic separation of multiple chiral center analyte with a three cyclodextrins mixture

A capillary electrokinetic chromatography method (CEKC) was developed for complete stereoisomeric separation of a neutral, hydrophobic, multiple chiral center dihydropyridone analogue, a drug candidate proposed in type 2 diabetes treatment. A background electrolyte comprising three cyclodextrins was found to successfully separate the eight isomers. First an anionic cyclodextrin, the SBE-β-CD, was selected to allow the chiral separation of our neutral compound and partial resolutions of the eight isomers were obtained. Then, the effects of different parameters such as the nature and concentration of the other cyclodextrins added and pH of the buffer were examined. Finally, a triple CD-system consisted of 15 mM SBE-β-CD plus 15 mM γ-CD and 40 mM HP-γ-CD in a 50 mM borate background electrolyte at pH 10, was found to successfully separate the eight isomers. Last, the selectivity and limits of detection and quantification were evaluated for this optimized method.     

Structural transformations of CuMoO4 in the catalytic oxidation of carbon

The catalytic combustion of carbon black at 350–420°C in the presence of CuMoO₄ has been investigated. The separate catalyst reduction and reoxidation stages make nonadditive contributions to the overall heat of the process. This indicates the formation of catalytically intermediate compounds during the redox reactions. The reduction of the catalyst with carbon yields the copper(I) molybdates Cu₆Mo₅O₁₈ and Cu₄Mo₅O₁₇ on its surface. The reoxidation of the reduced phases is accompanied by the release of Cu₂O and MoO₃ followed by the formation of the active phase Cu_{4 ? x} Mo₃O₁₂, which is capable of activating carbon black combustion.     

Atomic charges in the multiple scattering molecular orbital method

The concept of atomic charges in molecular orbital theory is discussed. A definition which pays special attention to the behaviour of the orbitals close to the atomic nuclei, is suggested. This new definition is particularly simple to apply in the multiple scattering method. Some transition metal complexes are considered as examples. The existence of the back donation effect is demonstrated for a series of octahedral cyanides.Supported by NFR, the Swedish Natural Science Research Council.     

Motility of catalytic nanoparticles through self-generated forces

Small-scale synthetic motors capable of generating their own motive forces by exploiting the chemical free energy of their environment represent an important step in developing practical nanomachines. Catalytic particles are capable of generating concentration and other gradients that can be used to self-propel small objects. However, the autonomous movement of catalytic nanoparticles by self-generated forces is a relatively unexplored area in colloid and interfacial chemistry. This paper explores the potential of catalytically self-generated forces for propulsion of small objects through fluids.     

Controlled manipulation of multiple cells using catalytic microbots

Self-propelled microjet engines (microbots) can transport multiple cells into specific locations in a fluid. The motion is externally controlled by a magnetic field which allows to selectively load, transport and deliver the cells.     

Structural bases for the catalytic mechanism of Ni-containing carbon monoxide dehydrogenases

Significant progress has been made recently in our understanding of the structure/function relationships of the catalytic C-cluster of carbon monoxide dehydrogenases. Several structures of this enzyme have been reported, some of them at very high resolution. One recurrent problem, however, is the high degree of heterogeneity within each structure, as well as between the different X-ray models. Here, we have tried to relate the structural data with the wealth of spectroscopic and biochemical information gathered over many years. As a result, we propose a catalytic cycle that is consistent with both observations and stereochemistry. We also give alternatives to one of the most difficult aspects of the cycle, namely, the location of the two electrons in the most reduced state of the C-cluster.     

Structural investigation of the GlmS ribozyme bound to Its catalytic cofactor

The GlmS riboswitch is located in the 5'-untranslated region of the gene encoding glucosamine-6-phosphate (GlcN6P) synthetase. The GlmS riboswitch is a ribozyme with activity triggered by binding of the metabolite GlcN6P. Presented here is the structure of the GlmS ribozyme (2.5 A resolution) with GlcN6P bound in the active site. The GlmS ribozyme adopts a compact double pseudoknot tertiary structure, with two closely packed helical stacks. Recognition of GlcN6P is achieved through coordination of the phosphate moiety by two hydrated magnesium ions as well as specific nucleobase contacts to the GlcN6P sugar ring. Comparison of this activator bound and the previously published apoenzyme complex supports a model in which GlcN6P does not induce a conformational change in the RNA, as is typical of other riboswitches, but instead functions as a catalytic cofactor for the reaction. This demonstrates that RNA, like protein enzymes, can employ the chemical diversity of small molecules to promote catalytic activity.