Reconstruction of the time-dependent wave function exclusively from position data

A method is presented that reconstructs the amplitude and phase of an unknown time-dependent pure-state wave function entirely from experimental position data. No assumptions about the wave function are needed. At a series of times, a large collection of position data is taken, but no measurements of momentum or energy are necessary. The momenta, however, are required for the reconstruction of the wave function and are supplied by analysis of the position data via quantum particle trajectories. Simulations of the method are provided for helium atoms in single and double slit experiments.     

Bounds on the connected domination number of a graph

A subset S$S$ of vertices in a graph G=(V,E)$G=(V,E)$ is a connected dominating set of G$G$ if every vertex of V?S$V?S$ is adjacent to a vertex in S$S$ and the subgraph induced by S$S$ is connected. The minimum cardinality of a connected dominating set of G$G$ is the connected domination number _γc(G)${\gamma }_c\left(G\right)$. The girth g(G)$g\left(G\right)$ is the length of a shortest cycle in G$G$. We show that if G$G$ is a connected graph that contains at least one cycle, then _γc(G)≥g(G)−2${\gamma }_c\left(G\right)\ge g\left(G\right)-2$, and we characterize the graphs obtaining equality in this bound. We also establish various upper bounds on the connected domination number of a graph, as well as Nordhaus–Gaddum type results.     

Detailed chemomechanistic sensitivity study on the alkoxylation of fatty amines

The mechanism of the autocatalytic alkoxylation of fatty amines was elucidated using a combined experimental and theoretical approach. The kinetic parameters of the elementary reaction steps are fitted to the experimental data gained in semibatch for propylene and butylene oxides with dodecylamine. A quality-of-fit sensitivity study was conducted to assess the robustness and accuracy of the model. Herein, we identified the kinetic parameters that are either crucial for a good fit or rate controlling in terms of the overall kinetics. It was found that the critical steps are the activation of the epoxide ring by a hydroxyl group present on either the intermediate or final product, highlighting the autocatalytic nature of the reaction. Furthermore, we introduced a so-called degree of conversion control to characterize the importance of each elementary reaction step toward the epoxide conversion. The degree of conversion control showed that the uncatalyzed route toward the secondary amine is only influential at low conversion. At higher conversion the route via the catalytic intermediate dominates. Alternative mechanisms were investigated as well but did not significantly improve the quality of fitting and were thus discarded.     

Domination Defect in Graphs: Guarding With Fewer Guards

In this paper, we introduce a new graph parameter called the domination defect of a graph. The domination number γ of a graph G is the minimum number of vertices required to dominate the vertices of G. Due to the minimality of γ, if a set of vertices of G has cardinality less than γ then there are vertices of G that are not dominated by that set. The k-domination defect of G is the minimum number of vertices which are left un-dominated by a subset of γ - k vertices of G. We study different bounds on the k-domination defect of a graph G with respect to the domination number, order, degree sequence, graph homomorphisms and the existence of efficient dominating sets. We also characterize the graphs whose domination defect is 1 and find exact values of the domination defect for some particular classes of graphs.     

Photodestructible vesicles

Stable vesicles are formed in a 1.4 wt % solution comprising a 1:3 mixture of the anionic photodestructible surfactant sodium 4-hexylphenylazosulfonate (C6PAS) and inert cationic cetyltrimethylamonium bromide (CTAB). UV irradiation drives an irreversible breakdown of the mixed C6PAS/CATB vesicles, owing to the selective degradation of C6PAS. A light-induced transition from small spherical-like polydisperse vesicles to long needle-like aggregation is observed.     

Cerebral tissue water spin-spin relaxation times in human neonates at 2.4 tesla: methodology and the effects of maturation

Using a 4-echo spin-echo sequence, cerebral T2 was measured in specific anatomic regions in eleven healthy newborn infants, whose gestational plus postnatal ages (GPAs) lay between 37 and 42 weeks. For a region in the pons, T2 was 141+/-9 ms (mean +/- standard deviation), and no significant dependence upon GPA was seen. In the thalamus mean T2 was 136+/-13 ms, and T2 demonstrated a significant negative linear dependence upon age (r = 0.690; p < 0.02). In periventricular and frontal regions, mean T2 were 217+/-33, and 228+/-32 ms respectively, and more marked negative linear correlations with age were observed (r = 0.833; p < 0.001 and r = 0.722; p < 0.02). For these regions, the rate of T2 decrease with age appeared to be related to known patterns of myelination. For the parietal region studied, mean T2 was 204+/-34 ms, no significant dependence upon GPA being seen. T2 shows promise as an objective measure of cerebral development in the perinatal period.     

Picosecond pulse generation in the infrared by stimulated Raman scattering in atomic vapours

We report the generation of high-power picosecond infrared pulses by stimulated electronic Raman scattering in an atomic vapour. Single 30 ps pulses at 532 nm were Raman-shifted in caesium vapour to produce 0.4 mJ pulses at 2.38 μm, with 20% quantum efficiency. This technique can be extended to cover a wide range of infrared wavelenghts by using various Raman transitions.     

Oxa-enediynes: probing the electronic and stereoelectronic contributions to the Bergman cycloaromatization

Efficient routes to three classes of 10-membered oxa-enediynes are presented. The electronic and stereoelectronic contributions to half-lives are supported by density functional theory calculations. One member of this class cyclizes to give an isochroman which binds to and degrades the aryl hydrocarbon receptor (AhR).     

Light-sensitive microemulsions

A photodestructible surfactant, sodium 4-hexylphenylazosulfonate (C6-PAS), has been introduced to AOT-stabilized water-in-heptane microemulsions. Proton NMR spectra show that C6-PAS undergoes UV-induced decomposition, to yield a mixture of 4-hexylphenol and hexylbenzene. The photostationary state was determined by 1H NMR, indicating that nearly 90% of the initial photosurfactant had been destroyed, yielding non-surface-active hexylbenzene as the main product. This phototriggered breakdown gives rise to changes in adsorption and aggregation properties of C6-PAS, representing a novel route to induce microemulsion destabilization. When a series of microemulsions containing different amounts of C6-PAS were exposed to UV light, part of the dispersed water phase-separated. Small-angle neutron scattering (SANS) was used to follow the resulting UV-induced shrinkage of the water nanodroplets: a maximum volume decrease was found to be in the order of 60-70%. Kinetic SANS studies were also carried out in order to follow the changes in aggregation as a function of UV irradiation time. Multicontrast SANS experiments gave further insight; for example, it was demonstrated that the shell thickness remained constant. This study represents the first example of light-induced microemulsion destabilization.     

Electromagnetic flowmeter sensitivity with two-phase flow

The behaviour of the uniform-field, point-electrode electromagnetic flowmeter with two-phase flows is discussed. It is emphasized that, in general, the signal is dependent on the velocity profile and on the degrees of uniformity and isotropy of the suspension. The weight function distribution of the annular flowmeter is described.