Repurposing aromaticity for organic electronics: Making,breaking, and stacking π‐circuits

This article summarizes a series of lectures I presented in Taiwan as a visiting lecturer sponsored by the Ministry of Science and Technology.     

Probabilistic Inductive Classes of Graphs

A unifying framework—probabilistic inductive classes of graphs (PICGs)—is defined by imposing a probability space on the rules and their left elements from the standard notion of inductive class of graphs. The rules can model the processes creating real-world social networks, such as spread of knowledge, dynamics of acquaintanceships or sexual contacts, and emergence of clusters. We demonstrate the characteristics of PICGs by casting some well-known models of growing networks in this framework. Results regarding expected size and order are derived. For PICG models of connected and 2-connected graphs order, size and asymptotic degree distribution are presented. The approaches used represent analytic alternative to computer simulation, which is mostly used to obtain the properties of evolving graphs.     

Synthesis and alignment of discrete polydiacetylene-peptide nanostructures

Oligopeptides bearing internal diacetylene units are shown to self-assemble in water into one-dimensional nanostructures and aligned macroscopic hydrogels. The diacetylene units can be photopolymerized into polydiacetylenes that run coincident to the nanostructure and noodle long axes, and the resulting nanostructures show evidence for ambipolar charge transport. This self-assembly, alignment and polymerization technique provides a rapid way to produce globally aligned collections of conjugated polymer chains.     

Kinetic study on catalytic cracking of Brazilian high-boiling-point petroleum fractions

This work proposed a technique to estimate the kinetic parameters of cracking reaction. High-boiling-point petroleum fractions (>623.15?K) were analyzed. The experiments were performed using a thermal analysis system with a differential scanning calorimetry module at different linear heating rates (15, 20, 25, and 30?K?min^?1) in the temperature range from 303.15 to 823.15?K. The Arrhenius, Kissinger, and Flynn?COzawa?CWall methods were used to determine the kinetic parameters. The compensation effect and the dependence on the activation energy of the conversion degree were evaluated. The catalyst used was a typical FCC regenerated catalyst containing 48.3?mass% of alumina, and particle size of 67???m. The effect of catalyst loading was studied using 3, 5, and 10?mass%. Analysis of the DSC curves showed a major transitional stage between 693.15 and 723.15?K, identified as an endothermic region of high temperature oxidation (HTO). Empirical kinetic models were produced and data were obtained from the kinetic analysis of the HTO region. Under non-isothermal heating conditions higher activation energies were found as the API gravity of the high-boiling-point petroleum fraction decreased. On the other hand, the results showed consistent effects for the dependence of the activation energy on the extent of cracking conversion under non-isothermal conditions, showing a decrease with the extent of conversion. The catalytic loading effect is remarkable, and provides an alternative route for the cracking with lower activation energy with increasing catalyst weight. The kinetic parameters formulated will be used in the mathematical modeling of the reactive molecular distillation process for upgrading high-boiling-point petroleum fractions.     

On the mechanism of proton conductivity in H3OSbTeO6

Pyrochlore-type H₃OSbTeO₆ is a remarkable proton conductor exhibiting an outstanding electrical conductivity even at ambient temperature. It consists of a three-dimensional interconnected (Sb,Te)O₆ framework, built from randomly distributed corner-shared SbO₆ and TeO₆ octahedra, forming large cages in which the H₃O⁺ ions are located. The dynamics of the caged species has been investigated by temperature-dependent neutron diffraction, quasielastic neutron scattering, and NMR experiments. Three types of motion may be discerned, namely, stochastic rotations of the H₃O group around its 3-fold axis, jumps between four equivalent positions within the cage, and long-range inter-cage translational diffusion. The onset of ionic conductivity is clearly reflected by structural changes. Details of the complex diffusion mechanism are given.     

Phase transitions and macroscopic properties of NaNO3 embedded into porous glasses

The crystal structure and dielectric response of nanocomposite materials on base of porous glasses with average pore diameters of 320, 46 and 7 nm with embedding sodium nitrate have been studied by neutron diffraction and dielectric spectroscopy in low and high temperature phases up to melting. In porous glasses with 46 and 7 nm pores NaNO₃ forms dendrite nanoclusters with "diffraction" sizes of 50(2.5) and 20(2) nm. Decreasing of particle sizes results in decreasing of T_c (temperature of order-disorder orientational transition) and T_melt and in smearing of structure phase transition. The values of critical exponent β for orientational transition are estimated from temperature dependences of intensities of superstructure elastic peaks for these three types of nanocomposite materials.     

1-Million droplet array with wide-field fluorescence imaging for digital PCR

Digital droplet reactors are useful as chemical and biological containers to discretize reagents into picolitre or nanolitre volumes for analysis of single cells, organisms, or molecules. However, most DNA based assays require processing of samples on the order of tens of microlitres and contain as few as one to as many as millions of fragments to be detected. Presented in this work is a droplet microfluidic platform and fluorescence imaging setup designed to better meet the needs of the high-throughput and high-dynamic-range by integrating multiple high-throughput droplet processing schemes on the chip. The design is capable of generating over 1-million, monodisperse, 50 picolitre droplets in 2-7 minutes that then self-assemble into high density 3-dimensional sphere packing configurations in a large viewing chamber for visualization and analysis. This device then undergoes on-chip polymerase chain reaction (PCR) amplification and fluorescence detection to digitally quantify the sample's nucleic acid contents. Wide-field fluorescence images are captured using a low cost 21-megapixel digital camera and macro-lens with an 8-12 cm(2) field-of-view at 1× to 0.85× magnification, respectively. We demonstrate both end-point and real-time imaging ability to perform on-chip quantitative digital PCR analysis of the entire droplet array. Compared to previous work, this highly integrated design yields a 100-fold increase in the number of on-chip digitized reactors with simultaneous fluorescence imaging for digital PCR based assays.     

Steering in computational science: Mesoscale modelling and simulation

This paper outlines the benefits of computational steering for high performance computing applications. Lattice-Boltzmann mesoscale fluid simulations of binary and ternary amphiphilic fluids in two and three dimensions are used to illustrate the substantial improvements which computational steering offers in terms of resource efficiency and time to discover new physics. We discuss details of our current steering implementations and describe their future outlook with the advent of computational grids.     

First integrals and analytical solutions of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient

Fin materials can be observed in a variety of engineering applications. They are used to ease the dissipation of heat from a heated wall to the surrounding environment. In this work, we consider a nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient. The equation(s) under study are highly nonlinear. Both the thermal conductivity and the heat transfer coefficient are given as arbitrary functions of temperature. Firstly, we consider the Lie group analysis for different cases of thermal conductivity and the heat transfer coefficients. These classifications are obtained from the Lie group analysis. Then, the first integrals of the nonlinear straight fin problem are constructed by three methods, namely, Noether’s classical method, partial Noether approach and Ibragimov’s nonlocal conservation method. Some exact analytical solutions are also constructed. The obtained result is also compared with the result obtained by other methods.