High-power harmonic gyro-TWT's. I. Linear theory and oscillationstudy

A linear theory using Laplace transforms which is applicable to both gyrotron traveling wave amplifiers (gyro-TWTs) and gyrotron backward-wave oscillators (gyro-BWOs) is presented. The validity of the linear theory is verified by comparing it with an existing nonlinear self-consistent theory based on a different approach. In conjunction with a time-dependent multimode particle simulation code, the linear theory is applied to study the stability of harmonic gyro-TWTs. It is shown that a harmonic gyro-TWT can be made stable to all forms of spontaneous oscillations by employing a multistage interaction structure and that it can generate power levels far in excess of those possible for a fundamental gyro-TWT. The linear bandwidth of a second-harmonic gyro-TWT amplifier is also calculated     

The measurement of average hydrodynamic velocity in capillary zone electrophoresis

Summary Based on the linear relationship between large sample injection time during hydrodynamic injection and migration time in non-stacking runs, a new method is proposed to measure average hydrodynamic velocity in capillary zone electrophoresis (CZE). Only the migration times for large injections need to be measured in this new approach, so the method is simple. Additionally, a modified Poiseuille equation is proposed to eliminate the deviation involved in Poiseuille’s equation. The average hydrodynamic velocity values determined by our method generally compare favorably with those determined by the modified Poiseuille equation.     

Is Vtb≃1?

The strongest constraint on V_tb presently comes from the 3×3 unitarity of the CKM matrix, which fixes V_tb to be very close to one. If unitarity is relaxed, current information from top production at Tevatron still leaves open the possibility that V_tb is sizably smaller than one. In minimal extensions of the standard model with extra heavy quarks, the unitarity constraints are much weaker, and the EW precision parameters entail the strongest bounds on V_tb. We discuss the experimental perspectives of discovering and identifying such new physics models at the Tevatron and the LHC, through a precise measurement of V_tb from the single top cross sections and by the study of processes where the extra heavy quarks are produced.     

Semilocal convergence and R-order for modified Chebyshev-Halley methods

In this paper, we study the semilocal convergence and R-order for a class of modified Chebyshev-Halley methods for solving non-linear equations in Banach spaces. To solve the problem that the third-order derivative of an operator is neither Lipschitz continuous nor Hölder continuous, the condition of Lipschitz continuity of third-order Fréchet derivative considered in Wang et al. (Numer Algor 56:497–516, 2011) is replaced by its general continuity condition, and the latter is weaker than the former. Furthermore, the R-order of these methods is also improved under the same condition. By using the recurrence relations, a convergence theorem is proved to show the existence-uniqueness of the solution and give a priori error bounds. We also analyze the R-order of these methods with the third-order Fréchet derivative of an operator under different continuity conditions. Especially, when the third-order Fréchet derivative is Lipschitz continuous, the R-order of the methods is at least six, which is higher than the one of the method considered in Wang et al. (Numer Algor 56:497–516, 2011) under the same condition.     

Estimating the Number of Clusters via the GUD Statistic

Estimating the number of clusters is one of the most difficult problems in cluster analysis. Most previous approaches require knowing the data matrix and may not work when only a Euclidean distance matrix is available. Other approaches also suffer from the curse of dimensionality and work poorly in high dimension. In this article, we develop a new statistic, called the GUD statistic, based on the idea of the Gap method, but use the determinant of the pooled within-group scatter matrix instead of the within-cluster sum of squared distances. Some theory is developed to show this statistic can work well when only the Euclidean distance matrix is known. More generally, this statistic can even work for any dissimilarity matrix that satisfies some properties. We also propose a modification for high-dimensional datasets, called the R-GUD statistic, which can give a robust estimation in high-dimensional settings. The simulation shows our method needs less information but is generally found to be more accurate and robust than other methods considered in the study, especially in many difficult settings.     

利用局域光效应增强全光谱光催化的ZnO/PVDF反蛋白石结构薄膜

随着环境污染与能源危机的问题日益严重,利用清洁能源太阳能的光催化技术得到了研究者的广泛关注.然而,半导体光催化剂的带隙严重限制了其利用整个太阳光谱的能力.尽管通过能带工程、上转换等技术,已经有部分可见光可以被利用,但其本身的效率却并不高.太阳光谱中的近红外光有着显著的光热效应,可提高光催化反应的温度,促进光生载流子的分离,进而提升光催化的效果.光子晶体是一种周期性结构,通过调节其折射率以及孔径大小,可以对不同波段的光实现增强吸收或反射的效果.人们已制备了二氧化钛的反蛋白石结构用于光催化降解污染物,其光催化效率明显提高.但是,通过利用反蛋白石结构光子晶体增强近红外光的吸收,进而实现全光谱利用的光热协同催化目前还未有报道.本文以二氧化硅单分散微球为模板,制备了以苯胺黑-聚偏氟乙烯为基底、氧化锌为光催化剂的反蛋白石结构光子晶体薄膜,采用扫描电镜、XRD和XPS等技术表征了薄膜的结构,并通过透射光谱与镜面反射光谱验证了苯胺黑的加入可增强全光谱的利用率.结果发现,当苯胺黑掺量为0.5%时,微反应器中的薄膜温度在60 min内上升了13.6℃,而空气中的薄膜温度在2 min内升了24.5℃,表明苯胺黑在近红外光生热中起着重要作用.对比普通薄膜,Z0.5A-369在微反应器与空气中的温度分别提升了14.7和26.8℃,证实了光子晶体对于光谱吸收的增强效应.就光催化性能来看,Z0.5A-369比普通薄膜的效率提高了1.63倍,而微反应器也比普通反应器提升了5.85倍.可见,薄膜和反应器的设计实现了协同催化.光热协同光催化发现,利用近红外光的光热效应来提高光催化反应过程中的温度可有效促进光催化反应,是一种高效利用太阳光谱的方法.光子晶体因其多孔结构、高比表面积、限光效应和慢光效应而增强了对光的吸收,进一步提高了光催化效率.另外,微反应器通过其局域的热效应和缩短的传质路径有效地增加了反应速率.     

Nanonecklaces assembled from gold rods, spheres, and bipyramids

Gold nanorods, nanospheres, and bipyramids have been assembled using glutathione and cysteine into three types of necklace structures, which might be useful for the fabrication of nanoscale photonic, electronic, and optoelectronic devices.     

New oxalate-bridged CrIII-MnII polymeric network incorporating a spin-crossover [Co(terpy)2]2+ cation

The reaction of Mn2+ with [Cr(ox)3]3- in the presence of the spin-crossover [Co(terpy)2]2+ cation gives rise to a 1D [Co(terpy)2][Mn(H2O)ClCr(ox)3].H2O.0.5MeOH (1) or a 2D [Co(terpy)2][Mn(H2O)Cr(ox)3]2.5H2O.0.5MeOH (2). The trimetallic complexes display dominant ferromagnetic behavior, and spin-crossover of [Co(terpy)2]2+ is suppressed by the chemical pressure of the polymeric oxalate-bridged network.     

Substituent effect on formation of heterometallic molecular wheels: synthesis, crystal structure, and magnetic properties

The reaction of manganese(III) Schiff bases of the type salen(2-) (N,N'-ethylenebis(salicylideneaminato)) with X-substituted (X = CH(3), Cl) pyridinecarboxamide dicyanoferrite(III) [Fe(X-bpb)(CN)(2)](-) gave rise to a series of cyanide-bridged Mn(6)Fe(6) molecular wheels, [Mn(III)(salen)](6)[Fe(III)(bpmb)(CN)(2)](6) x 7H(2)O (1), [Mn(salen)](6)[Fe(bpClb)(CN)(2)](6) x 4H(2)O x 2CH(3)OH (2), [Mn(salen)](6)[Fe(bpdmb)(CN)(2)](6) x 10H(2)O x 5CH(3)OH (3), [Mn(5-Br(salpn))](6)[Fe(bpmb)(CN)(2)](6) x 24H(2)O x 8CH(3)CN (4), and [Mn(5-Cl(salpn))](6)[Fe(bpmb)(CN)(2)](6) x 25H(2)O x 5CH(3)CN (5). Compared with [Fe(bpb)(CN)(2)](-), which always gives rise to 1D or polynuclear species when reacting with Mn(III) Schiff bases, the introduction of substituents (X) to the bpb(2-) ligand has a driving force in formation of the novel wheel structure. Magnetic studies reveal that high-spin ground state S = 15 is present in the wheel compounds originated from the ferromagnetic Mn(III)-Fe(III) coupling. For the first time, the quantum Monte Carlo study has been used to modulate the magnetic susceptibility of the huge Mn(6)Fe(6) metallomacrocycles, showing that the magnetic coupling constants J range from 3.0 to 8.0 K on the basis of the spin Hamiltonian [Formula: see text]. Hysteresis loops for 1 have been observed below 0.8 K, indicative of a single-molecule magnet with a blocking temperature (TB) of 0.8 K. Molecular wheels 2-5 exhibit frequency dependence of alternating-current magnetic susceptibility under zero direct-current magnetic field, signifying the slow magnetization relaxation similar to that of 1. Significantly, an unprecedented archlike Mn(2)Fe(2) cluster, [Mn(5-Cl(salpn))](2)[Fe(bpmb)(CN)(2)](2) x 3H(2)O x CH(3)CN (6), has been isolated as an intermediate of the Mn(6)Fe(6) wheel 5. Ferromagnetic Mn(III)-Fe(III) coupling results in a high-spin S = 5 ground state. Combination of the high-spin state and a negative magnetic anisotropy (D) results in the observation of slow magnetization relaxation in 6.