Single-ionization of helium at Ti:sapphire wavelengths: rates and scaling laws

We present a numerical and theoretical study of intense-field single-electron ionization of helium at 390 nm and 780 nm. Accurate ionization rates (over an intensity range of (0.175-34) X10^14 W/ cm^2 at 390 nm, and (0.275 - 14.4) X 10^14 W /cm^2 at 780 nm) are obtained from full-dimensionality integrations of the time-dependent helium-laser Schroedinger equation. We show that the power law of lowest order perturbation theory, modified with a ponderomotive-shifted ionization potential, is capable of modelling the ionization rates over an intensity range that extends up to two orders of magnitude higher than that applicable to perturbation theory alone. Writing the modified perturbation theory in terms of scaled wavelength and intensity variables, we obtain to first approximation a single ionization law for both the 390 nm and 780 nm cases. To model the data in the high intensity limit as well as in the low, a new function is introduced for the rate. This function has, in part, a resemblance to that derived from tunnelling theory but, importantly, retains the correct frequency-dependence and scaling behaviour derived from the perturbative-like models at lower intensities. Comparison with the predictions of classical ADK tunnelling theory confirms that ADK performs poorly in the frequency and intensity domain treated here.

Fabrication of Ti-Al coatings by mechanical alloying method

By means of the mechanical alloying (MA) method, Al and Ti + Al coatings were deposited on Ti alloy substrates. During the mechano-activation processing, the substrate surface was impacted by a large number of flying balls along with particles of powder. The repeated ball collisions with the substrate resulted in the deposition of powder on its surface. MA technique produced Ti + Al coating with a thickness of 200 µm and Al one with a thickness of 50 µm after 2 h milling at room temperature. The as-synthesized coatings showed structures with high apparent density and free of porosity. The surface morphology of the MA-coatings was very rough. Annealing treatment led to the leveling of this uneven morphology. Annealing at temperatures ranging between 600 °C and 1100 °C gave different aluminide phases on the samples. In the case of Al coating, Al3Ti and Ti3Al compound were observed upon heating up to 1100 °C. In the case of Ti + Al coating, Al3Ti, Al2Ti, TiAl and Ti3Al were formed on the surface.

Stabilization of Ti-molecular sieve catalysts used in selective sulfoxidation reactions by ionic liquids

Sulfoxidation reactions of 4,6-dimethyl-2-methylthiopyrimidine have been performed using titanosilicate catalysts in ionic liquids, dioxane and ethanol. The ionic liquid reactions showed superior reactivity compared with molecular solvents. Moreover, on examination of the recycling of the catalyst, a significant increase in the stability of catalyst was found both in terms of recycling activity and leaching of the titanium from the catalyst. The mechanism by which the ionic liquid reduces the solubilisation of the catalysts is explored.

Theory of laser-driven double-ionization of atoms at Ti : sapphire laser wavelengths

Progress in the theoretical understanding of non-sequential double-ionization of atoms is reviewed from its beginnings with Kuchiev's work in the late 1980s and Corkum's work in the early 1990s to the present day. The crucial role of laboratory experiment as a persistent stimulus to theoretical endeavour is underlined but the predictive roles of simple, yet fundamental, theory and also of a full quantum mechanical description are not forgotten. A theoretical forward look is provided.

Marketing secondhand goods in late medieval England

Purpose – The purpose of this paper is to identify the main practitioners, goods, customers and locations of secondhand marketing activities in late medieval England. It questions how important was the economic role played by such markets and what was the interaction with more formal market structures?

Design/methodology/approach – A broad range of evidence was examined, covering the period from 1200 to 1500: regulations, court rolls, wills, manorial accounts, literature, and even archaeology. Such material often provided mere scraps of information about marginal marketing activity and it was important to recognise the severe limitations of the evidence. Nevertheless, a wide survey of the available sources can give us an insight into medieval attitudes towards such trade, as well as reminding us that much marketing activity occurred beyond the reach of the surviving documentation.

Findings – Late medieval England had numerous outlets for secondhand items, from sellers of used clothes and furs who wandered the marketplaces to craftsmen who recycled and mended old materials. Secondhand marketing was an important part of the medieval makeshift economy, serving not only the needs of the lower sectors of society but also those aspiring to a higher status. However, it is unlikely that such trade generated much profit and the traders were often viewed as marginal, suspicious and even fraudulent.

Originality/value – There is a distinct lack of research into the extent of and significance of medieval secondhand marketing, which existed in the shadowy margins of formal markets and is thus poorly represented in the primary sources. A broad-based approach to the evidence can highlight a variety of important issues, which impact upon the understanding of the medieval English economy.