A sharper uncertainty principle

The work strengthens the result established by L. Cohen on uncertainty principle involving phase derivative. We propose stronger uncertainty principles not only in the classical setting for Fourier transform, but also for self-adjoint operators. We also deduce the conditions that give rise to the equal relation of the uncertainty principle. Examples are provided to show that the new uncertainty principle is truly sharper than the existing ones in literature.     

A justification for the use of approximate transition amplitudes in semiclassical surface hopping

Recent work has shown that a certain surface hopping form of the wave function is capable of obtaining highly accurate transition probabilities for nonadiabatic problems. It has also been found that it is necessary to include hops in classically forbidden regions in order to obtain this level of accuracy at low energies. The amplitude for the hops in this surface hopping expansion of the wave function has the typical p^?1/2 semiclassical divergence at the turning points in the classical motion. While this singularity is an integrable divergence, the divergent behavior complicates the numerical evaluation of the integrals over hopping points that is present in the surface hopping expressions. Numerical evidence has shown that only small errors are incurred at most energies if these singular hopping amplitudes are replaced with a nonsingular approximation. This agreement is surprising, since the exact and approximate amplitudes differ greatly in the turning point region, and this region is expected to make important contributions to the transition probability at low energies. A numerical analysis is presented in this work that provides a justification as to why this numerically useful approximation works as well as it does.     

Electron transfer reactions between vinylmagnesium bromide and phenyl-substituted methyl chlorides

The reaction of vinylmagnesium bromide ( 1 ) with trityl chloride ( 2 ) was investigated and the products were identified as triphenylmethane ( 3 ) (81 %), acetylene ( 4 ) (74%), trityl peroxide ( 6 ) (4%), and minute amounts of triphenylpropene ( 7 ) and p-diphenylmethyltetraphenylmethane ( 8 ). The results indicate that 1 possesses reducing property. The reaction mixture showed an ESR spectrum identical with that for trityl radical and the CIDNP of enhanced absorption for 4-H of l-diphenylmethylene-4-trityl-2,5-cyclohexadiene ( 9 ). Trapping experiment with styrene decreased the amount of 3 but had no effect on the formation of 4. The reducing property of 1 is discussed and one electron transfer mechanism for the reaction of 1 with 2 is proposed. S-T₀ mixing between trityl and·MgBr occurred and the coupling of polarized trityl radical with another trityl radical resulted in the formation of polarized dimeric product. The different character between the reaction of 1 and 2 and that of 1 and diphenylmethyl chloride ( 10 ) may be rationalized by the different electron-accepting abilities between 2 and 10. The origin of CIDNP effect shown by the product tetraphenylethane ( 11 ) for the reaction of 1 with 10 is also explained according to Kaptein's sign rule.     

Synthesis of SrFe12O19 magnetic nanoparticles by EDTA complex method

A modified polyacrylamide gel route was used to prepare SrFe₁₂O₁₉ magnetic nanoparticles; ethylenediaminetetraacetic acid (EDTA) was used as a carboxyl chelating agent. The phase purity, morphology and magnetic properties of as-prepared samples were analyzed via X-ray diffraction (XRD), Raman spectroscopy, scanning electron microscopy (SEM), transmission electron microscopy (TEM) and vibrating sample magnetometery (VSM). XRD analysis indicates that high-purity SrFe₁₂O₁₉ magnetic nanoparticles can be synthesized at 700°C in air. The characteristic peaks of as-prepared sample at 210, 283, 321, 340, 381, 411, 432, 475, 532, 618, 686, and 726 cm^–1 were observed in Raman spectra. SEM and TEM show that the synthesized SrFe₁₂O₁₉ magnetic nanoparticles are uniform with the mean particle size of ~60 nm. VSM measurement shows that the maximum magnetic energy product (BH)_max of sample prepared using EDTA as a chelating agent is higher than that of sample prepared using citric acid as a chelating agent.

     

Two acridones and two coumarins from the roots of Paramignya trimera

Two acridones, paratrimerins C (1) and D (2), and two coumarins, paratrimerins E (3) and F (4), were isolated from the CHCl₃ and EtOAc extracts of Paramignya trimera (Rutaceae), together with twelve known compounds (5–16). Their structures were elucidated on the basis of spectroscopic data. All isolated compounds possessed significant α-glucosidase inhibitory activity in a concentration-dependent manner, and showed more potent inhibitory activity, with IC₅₀ values ranging from 14.6 to 112.2 μM, than the positive control acarbose (IC₅₀, 214.5 μM). The biosynthesis of the isolated coumarins and acridones was proposed.     

一种铈（Ⅲ）配合物对含石墨粘结涂层耐蚀性的影响

为了改善含石墨粘结涂层的耐蚀性，首先对这种涂层在腐蚀环境中耐蚀性差的原因进行了分析，然后将二正丁基磷酸、ＣｅＦ＿３、Ｓｂ＿２Ｏ＿３和一种Ｃｅ（Ⅲ）配合物Ｃｅ（ＮＯ＿３）（Ｃ＿８Ｈ＿（１８）ＰＯ＿４）＿２分别添加于酚醛环氧－ＭｏＳ＿２－石墨粘结涂层中，考察了它们对这种涂层耐蚀性的影响，并对含Ｃｅ（ＮＯ＿３）（Ｃ＿８Ｈ＿（１８）ＰＯ＿４）＿２的涂层和空白样涂层进行了表面分析。盐雾试验表明，添加Ｃｅ（ＮＯ＿３）（Ｃ＿８Ｈ＿（１８）ＰＯ＿４）＿２可以有效地抑制涂层中ＭｏＳ＿２的氧化和由石墨所引起的金属底材之电化学腐蚀；根据Ｘ射线光电子能谱分析结果可知，添加Ｃｅ（ＮＯ＿３）（Ｃ＿８Ｈ＿（１８）ＰＯ＿４）＿２之所以能够提高含石墨粘结涂层的耐蚀性，应当归因于它在ＭｏＳ＿２晶体表面和金属底材表面的吸附。因此，Ｃｅ（Ⅲ）配合物Ｃｅ（ＮＯ＿３）（Ｃ＿８Ｈ＿（１８）ＰＯ＿４）＿２是含石墨粘结涂层的一种实用性能良好的新型防腐添加剂。