A four-parameter partition identity

We present a new partition identity and give a combinatorial proof of our result. This generalizes a result of Andrews in which he considers the generating function for partitions with respect to size, number of odd parts, and number of odd parts of the conjugate. 2000 Mathematics Subject Classification Primary—05A17; Secondary—11P81     

Electrically driven oscillations of a mercury-droplet electrode

The resonance frequencies of 13 polygonal vibrations plus 11 axisymmetric vibrations have been observed for a 4.0-mg sessile mercury droplet submerged in 0.10 N KCl solution. When an input voltage with suitable dc and ac components was applied between the mercury droplet and a Ag/AgCl counter electrode, the mercury droplet could be observed under a microscope to oscillate. The mechanism that drives this droplet into oscillation differs from past electrokinetic mechanisms. Basically, the oscillating input voltage causes periodic changes in the interfacial surface tension which, at specific input frequencies, induce resonant vibrations within the droplet by interacting with its expanding and contracting surface area. Because there are two cycles of surface-area variation and two cycles of surface-tension variation per cycle of droplet oscillation, the most effective driving frequency (but not the only driving frequency) is twice the frequency of the droplet oscillation. This work was performed at the Oak Ridge Y-12 Plant, Oak Ridge, Tennessee.     

Grand canonical monte carlo modeling of hydrogen adsorption on phosphorus-doped open carbon framework

Mechanism of hydrogen adsorption in high surface area carbon-based porous materials has been studied. Influence of chemical modification of the adsorbing surface has been simulated using grand canonical Monte Carlo method. Special attention has been paid to the competition between increasing the surface of open carbon frameworks and heterogeneous distribution of the energy of adsorption. Additionally, it has been shown that the molecular mass of atoms which substitute carbon atoms is an important factor determining the final hydrogen uptake.     

Largeurs des raies de la transition 00°1 → (10°0; 02°0)I de CO2 perturbe par l'argon

Argon-pressure broadened CO₂ linewidths have been measured in the 00°1- (10°0,02°0)_I bands using a stabilized laser source. It is shown that a short-range anisotropic potential must be introduced in the calculation of the interruption function, in order to avoid the use of adjustment procedures of questionable physical meaning. An order of magnitude for the parameters of this potential is estimated empirically. The importance of non additivity effects in the interaction potential for the calculation of the interuption function is pointed out. When a treatment, which takes into account deviations from straight trajectories for strong collisions is adopted, the theoretical results compare well with experimental data.     

Fiber-optic-based absolute displacement sensors at 1500 nm by means of a variant of channeled spectrum signal recovery

An absolute displacement-sensing system based on channeled spectrum processing capable of simultaneous interrogation of fiber Bragg gratings and fiber-optic interferometric sensors is presented in which the role of the optical spectrometer is performed by a scanning Fabry-Perot filter. We demonstrate a resolution of +/-50 nm with an estimated dynamic range of 1 part in 10(5).     

Rapid and sensitive determination of acetylsalicylic acid and salicylic acid in plasma using liquid chromatography–tandem mass spectrometry: application to pharmacokinetic study

A simple and sensitive analytical method using liquid chromatography–tandem mass spectrometry (LC/MS/MS) for determination of acetylsalicylic acid (aspirin, ASA) and its major metabolite, salicylic acid (SA), in animal plasma has been developed and validated. Both ASA and SA in plasma samples containing potassium fluoride were extracted using acetonitrile (protein precipitation) with 0.1% formic acid in it. 6‐Methoxysalicylic acid was used as the internal standard (IS). The compounds were separated on a reversed‐phase column. The multiple reaction monitoring mode was used with ion transitions of m/z 178.9 → 136.8, 137.0 → 93.0 and 167.0 → 123.0 for ASA, SA and IS, respectively. The lower limits of quantification for ASA and SA were 3 and 30 ng/mL, respectively. The developed method was successfully applied for the evaluation of pharmacokinetics of ASA and SA after p.o. and i.v. administration of 1 mg/kg to rats. Copyright © 2009 John Wiley & Sons, Ltd.     

Measurements and analysis of collisional line-mixing within nuclear hyperfine components of helium broadened HI lines

The absorption by the R (0) and R (1) lines of the fundamental band of HI broadened by He have been measured in the 0-500 mbar pressure range using a tunable difference frequency generation laser spectrometer. The observed transmissions have been fitted and analyzed with a line-coupling model based on the infinite order sudden approximation. It is demonstrated that the three hyperfine components of the R (0) manifold have identical widths and are not coupled by collisions. On the contrary, the profile of the R (1) manifold cannot be modeled without accounting for both line-mixing and for the fact that the nine hyperfine components have different broadening parameters. This is, to our knowledge, the first demonstration of line coupling within hyperfine components.     

Temperature dependence of rare gas broadening and shifting of first harmonic lines of H35Cl

Widths and shifts of HCl vibration-rotation lines, pressurized by rare gases, have been measured for the 0–2 band as functions of temperature. The results reported here complement previously published results on the fundamental band. The model of Smith, Giraud and Cooper is used to calculate widths and shifts; good agreement is obtained between experiment and theory. Problems concerning the accuracy of available potential energy surfaces and the calculation of differential cross sections are discussed briefly.     

Comparison of quantum,semi-classical and classical methods in the calculation of nitrogen self-broadened linewidths

We perform dynamical calculations on two robust N₂–N₂ potential energy surfaces in order to intercompare pressure broadening coefficients derived from close coupling and coupled states quantum dynamical methods, the semi-classical model of Robert and Bonamy and a full classical method. The coupled states and full classical results compare well with the experimental results or with close coupling values when available. This study confirms that the classical method is a good alternative at room and high temperatures to quantum dynamical methods. The results obtained using the semi-classical method however deviate from the other sets of data at all temperatures considered here (77–2400 K).     

Semiclassical calculations of half-widths and line shifts for transitions in the 30012←00001 and 30013←00001 bands of CO2 II: Collisions with O2 and air

The complex Robert–Bonamy (CRB) formalism was used to calculate the half-width, its temperature dependence, and the line shift for CO₂ for transitions in the 30012←00001 and 30013←00001 bands with O₂ as the perturbing gas. The calculations were done for rotational quantum numbers from J=0 to J=120 with no ad hoc scaling of the line shape equations. The intermolecular potential parameters are adjusted on accurate experimental measurements of the half-widths, its temperature dependence, and the pressure-induced line shifts so that a single intermolecular potential reproduces all three parameters. Using the results of this work and previous results for N₂-broadening, air-broadening line shape parameters were also determined. The comparison of the CRB calculations with the experimental data available in the literature for the three line shape coefficients demonstrates the quality of the present calculations for the both bands under study.