Clarification of an apparent asymmetry in electromagnetic theory

The status of the advanced potential solution in electromagnetic theory is analyzed and assessed. It is shown that the advanced potential solution does not violate a causality argument and that its existence in electromagnetic theory is on an exactly equal footing with the retarded potential solution. The general potential solution is thus completely symmetric. It is further shown that there is no “one-sidedness” in nature; oscillating electrons and orbiting electrons are just as good at absorbing energy as they are at radiating it. These conclusions are sufficient to invalidate a number of theoretical models.     

A Hierarchy of Models for Planning in a Division of I.C.I.

In any large diverse company, organizational divisions are necessary to enable management to manage efficiently. The use of models in planning enables activities to be cohesively planned, but divisions must still be drawn. This paper describes the system of models developed for planning in one division of I.C.I. It sets out a philosophy of approach to modelling, covering many individual case studies which have forced the problem of divisions to be tackled. The solutions chosen appear to work well in one management environment.     

The spectrum of combustion-generated noise

A calculation of the energy release rate resulting from the combustion of propane-air mixtures is presented and the result is used to calculate the far field noise spectrum for an open flame by using appropriate Fourier transform techniques. The results illustrate the broad band nature of combustion noise and show that, for the range of parameters indicated, the peak frequency in the $\text{1}\text{3}$ octave band is in the range 400–1000 Hz. The results also indicate that the shape of spectrum is influenced by the time history of the heat release rate and the turbulence intensity and length scales; on the other hand, the peak frequency is a function of the heat release per unit mass of fuel which is essentially the same for hydrocarbon fuels.     

Imaging and autocorrelation of ultrafast infrared laser pulses in the 3-11-mum range with silicon CCD cameras and photodiodes

Standard silicon photodiodes and CCD cameras are convenient and inexpensive alternatives to cryogenically cooled diodes or arrays for autocorrelation and imaging of ultrafast IR laser pulses in the wavelength range 3-11 mum . The response of these Si devices to IR pulses of duration ~100 fs is proportional to E(n) , where E is the pulse energy and n is approximately the Si electronic bandgap divided by the photon energy.     

A software review for extreme value analysis

Extreme value methodology is being increasingly used by practitioners from a wide range of fields. The importance of accurately modeling extreme events has intensified, particularly in environmental science where such events can be seen as a barometer for climate change. These analyses require tools that must be simple to use, but must also implement complex statistical models and produce resulting inferences. This document presents a review of the software that is currently available to scientists for the statistical modeling of extreme events. We discuss all software known to the authors, both proprietary and open source, targeting different data types and application areas. It is our intention that this article will simplify the process of understanding the available software, and will help promote the methodology to an expansive set of scientific disciplines.     

Limitations of the Phan-Thien non-linear network viscoelastic model

The failure of the Phan-Thien non-linear network viscoelastic model to predict realistic stress-strain relationships under certain conditions is illustrated in two examples. Care in the application of the model when applied in situations where high shear rates are expected is indicated.     

Reactive quenching of OD A 2Σ+ by H2: translational energy distributions for H- and D-atom product channels

The H- and D-atom products from collisional quenching of OD A (2)Σ(+) by H(2) are characterized through Doppler spectroscopy using two-photon (2 (2)S ←← 1 (2)S) laser-induced fluorescence. Partial deuteration enables separation of the channel forming H + HOD products, which accounts for 75% of reactive quenching events, from the D + H(2)O product channel. The Doppler profiles, along with those reported previously for other isotopic variants, are transformed into product translational energy distributions using a robust fitting procedure based on discrete velocity basis functions. The product translational energy distribution for the H-atom channel is strongly peaked at low energy (below 0.5 eV) with a long tail extending to the energetic limit. By contrast, the D-atom channel exhibits a small peak at low translational energy with a distinctive secondary peak at higher translational energy (approximately 1.8 eV) before falling off to higher energy. In both cases, most of the available energy flows into internal excitation of the water products. Similar distributions are obtained upon reanalysis of D- and H-atom Doppler profiles, respectively, from reactive quenching of OH A (2)Σ(+) by D(2). The sum of the translational energy distributions for H- and D-atom channels is remarkably similar to that obtained for OH A (2)Σ(+) + H(2), where the two channels cannot be distinguished from one another. The product translational energy distributions from reactive quenching are compared with those obtained from a previous experiment performed at higher collision energy, quasiclassical trajectory calculations of the post-quenching dynamics, and a statistical model.     

Counterion effects in the preparation of aldehyde–bisulfite adducts

The identification and development of an aldehyde–bisulfite adduct as an isolable starting material in the synthesis of the CETP inhibitor Evacetrapib are described. The physical properties of the sodium and potassium analogs are compared, and the extension of the scope of this study to include an investigation into the solid state properties of a range of sodium and potassium bisulfite adducts of commonly encountered aldehydes is discussed.