Effect of different arrangements of point source,aluminum absorber and detector on mass absorption coefficient of beta-particles

Summary The transmission of 0.766 MeV beta-particles emitted from ²⁰⁴Tl through aluminum has been investigated for different arrangements of point source, absorber and detector. In the first arrangement, the mass absorption coefficient (μ_m) has been measured as a function of the absorber to the source distance (H_AS), when the absorber foil was placed just above the window of a surface barrier solid state detector. In the second arrangement, the mass absorption coefficient has been measured as a function of the absorber to detector distance (H_AD), when the absorber foil was placed just on the source. The measured mass absorption coefficients of beta-particles have been compared to the values gained in a previous work.     

Markov–Dubins path via optimal control theory

Markov–Dubins path is the shortest planar curve joining two points with prescribed tangents, with a specified bound on its curvature. Its structure, as proved by Dubins in 1957, nearly 70 years after Markov posed the problem of finding it, is elegantly simple: a selection of at most three arcs are concatenated, each of which is either a circular arc of maximum (prescribed) curvature or a straight line. The Markov–Dubins problem and its variants have since been extensively studied in practical and theoretical settings. A reformulation of the Markov–Dubins problem as an optimal control problem was subsequently studied by various researchers using the Pontryagin maximum principle and additional techniques, to reproduce Dubins’ result. In the present paper, we study the same reformulation, and apply the maximum principle, with new insights, to derive Dubins’ result again. We prove that abnormal control solutions do exist. We characterize these solutions, which were not studied adequately in the literature previously, as a concatenation of at most two circular arcs and show that they are also solutions of the normal problem. Moreover, we prove that any feasible path of the types mentioned in Dubins’ result is a stationary solution, i.e., that it satisfies the Pontryagin maximum principle. We propose a numerical method for computing Markov–Dubins path. We illustrate the theory and the numerical approach by three qualitatively different examples.     

Synthesis,characterization and microwave‐assisted catalytic activity of novel benzimidazole salts bearing piperidine and morpholine moieties in Heck cross‐coupling reactions

A mixture of novel benzimidazole salts (2a–f), Pd(OAc)₂ and K₂CO₃ in DMF? H₂O catalyzes, in high yield, the Heck cross‐coupling reaction assisted by microwave irradiation in a short time. All synthesized novel benzimidazole derivatives were characterized by elemental analysis and NMR spectroscopy. In addition, the molecular structure of 2a was determined by X‐ray crystallography. Copyright © 2011 John Wiley & Sons, Ltd.     

Quantifier elimination for the theory of algebraically closed valued fields with analytic structure

The theory of algebraically closed non‐Archimedean valued fields is proved to eliminate quantifiers in an analytic language similar to the one used by Cluckers, Lipshitz, and Robinson. The proof makes use of a uniform parameterized normalization theorem which is also proved in this paper. This theorem also has other consequences in the geometry of definable sets. The method of proving quantifier elimination in this paper for an analytic language does not require the algebraic quantifier elimination theorem of Weispfenning, unlike the customary method of proof used in similar earlier analytic quantifier elimination theorems. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Retrodiction of the transferred momentum in measurement and nonlocal determinism in quantum theory

According to quantum mechanics, the change in a measured variable, following a measurement of it, cannot be obtained. In the present paper, a thought-experiment is developed in which the change can be obtained by means of an extension of quantum mechanics. It is, then, claimed that quantum mechanics permits nonlocal determinism through state reduction, in terms of its extension.     

改性HZSM－5分子筛催化合成巯基乙酸酯的研究

用改性ＨＺＳＭ－５分子筛作催化剂制备了７种巯基乙酸酯：巯基乙酸丙酯、疏基乙酸正丁酯、硫基乙酸正戊酯、巯基乙酸正庚酯、疏基乙酸异辛酯、巯基乙酸二乙醇酯及疏基乙酸苯乙醇酯。收率９０％左右。讨论了影响反应的诸因素。     

Kinetics and mechanism of myristic acid and isopropyl alcohol esterification reaction with homogeneous and heterogeneous catalysts

The reaction of myristic acid (MA) and isopropyl alcohol (IPA) was carried out by using both homogeneous and heterogeneous catalysts. For a homogeneously catalyzed system, the experimental data have been interpreted with a second order, using the power‐law kinetic model, and a good agreement between the experimental data and the model has been obtained. In this approach, it was assumed that a protonated carboxylic acid is a possible reaction intermediate. After a mathematical model was proposed, reaction rate constants were computed by the Polymath* program. For a heterogeneously catalyzed system, interestingly, no pore diffusion limitation was detected. The influences of initial molar ratios, catalyst loading and type, temperature, and water amount in the feed have been examined, as well as the effects of catalyst size for heterogeneous catalyst systems. Among used catalysts, p‐toluene sulfonic acid (p‐TSA) gave highest reaction rates. Kinetic parameters such as activation energy and frequency factor were determined from model fitting. Experimental K values were found to be 0.54 and 1.49 at 60°C and 80°C, respectively. Furthermore, activation energy and frequency factor at forward were calculated as 54.2 kJ mol^?1 and 1828 L mol^?1 s^?1, respectively. © 2008 Wiley Periodicals, Inc. 40: 136–144, 2008     

Photon emission under bombardment of ruby by ions and electrons of medium energies

The characteristics of optical radiation produced under bombardment by ions (1–15 keV) and electrons (100–1000 eV) of a ruby surface are studied. Two broad bands with maxima at 330 and 450 nm attributed to defects of the crystal lattice are discovered in the spectral region of 200 to 800 nm. Characteristic radiation related to radiative relaxation of excited Cr³⁺ ions in the near-surface region of the crystal is observed. The dependence of the radiation intensity on the energy and current density of the bombarding particles is obtained experimentally. The degree of radiation polarization is determined.