用柱面波函数展开法求解时谐电磁场

对于时谐电磁场，推导出矢势的柱面波孙数展开展。应用该展开式可计算电流分布区域外部和内部的时谱电磁场。给出了用中公式求解时谱电磁场的具体例子。     

Alcohol‐Soluble Electron‐Transport Materials for Fully Solution‐Processed Green PhOLEDs

Two alcohol‐soluble electron‐transport materials (ETMs), diphenyl(4‐(1‐phenyl‐1H‐benzo[d]imidazol‐2‐yl)phenyl)phosphine oxide (pPBIPO) and (3,5‐bis(1‐phenyl‐1H‐benzo[d]imidazol‐2‐yl)phenyl)diphenylphosphine oxide (mBPBIPO), have been synthesized. The physical properties of these ETMs were investigated and they both exhibited high electron‐transport mobilities (1.67×10^?4 and 2.15×10^?4 cm² V^?1 s^?1), high glass‐transition temperatures (81 and 110 °C), and low LUMO energy levels (?2.87 and ?2.82 eV, respectively). The solubility of PBIPO in n‐butyl alcohol was more than 20 mg mL^?1, which meets the requirement for fully solution‐processed organic light‐emitting diodes (OLEDs). Fully solution‐processed green‐phosphorescent OLEDs were fabricated by using alcohol‐soluble PBIPO as electron‐transport layers (ETLs), and they exhibited high current efficiencies, power efficiencies, and external quantum efficiencies of up to 38.43 cd A^?1, 26.64 lm W^?1, and 10.87 %, respectively. Compared with devices that did not contain PBIPO as an ETM, the performance of these devices was much improved, which indicated the excellent electron‐transport properties of PBIPO.     

A Novel trans‐1‐(9‐Anthryl)‐2‐phenylethene Derivative Containing a Phenanthroimidazole Unit for Application in Organic Light‐Emitting Diodes

Aryl‐substituted phenanthroimidazoles (PIs) have attracted tremendous attention in the field of organic light‐emitting diodes (OLEDs), because they are simple to synthesize and have excellent thermal properties, high photoluminescence quantum yields (PLQYs), and bipolar properties. Herein, a novel blue–green emitting material, (E)‐2‐{4′‐[2‐(anthracen‐9‐yl)vinyl]‐[1,1′‐biphenyl]‐4‐yl}‐1‐phenyl‐1H‐phenanthro[9,10‐d]imidazole (APE‐PPI), containing a t‐APE [1‐(9‐anthryl)‐2‐phenylethene] core and a PI moiety was designed and synthesized. Owing to the PI skeleton, APE‐PPI possesses high thermal stability and a high PLQY, and the compound exhibits bipolar transporting characteristics, which were identified by single‐carrier devices. Nondoped blue–green OLEDs with APE‐PPI as the emitting layer show emission at λ=508 nm, a full width at half maximum of 82 nm, a maximum brightness of 9042 cd m^?2, a maximum current efficiency of 2.14 cd A^?1, and Commission Internationale de L'Eclairage (CIE) coordinates of (0.26, 0.55). Furthermore, a white OLED (WOLED) was fabricated by employing APE‐PPI as the blue–green emitting layer and 4‐(dicyanomethylene)‐2‐tert‐butyl‐6‐(1,1,7,7‐tetramethyljulolidin‐4‐yl‐vinyl)‐4H‐pyran (DCJTB) doped in tris‐(8‐hydroxyquinolinato)aluminum (Alq₃) as the red–green emitting layer. This WOLED exhibited a maximum brightness of 10029 cd m^?2, a maximum current efficiency of 16.05 cd A^?1, CIE coordinates of (0.47, 0.47), and a color rendering index (CRI) of 85. The high performance of APE‐PPI‐based devices suggests that the t‐APE and PI combination can potentially be used to synthesize efficient electroluminescent materials for WOLEDs.     

Homotopy method for the numerical solution of the eigenvalue problem of self-adjoint partial differential operators

GivenA ₁, the discrete approximation of a linear self-adjoint partial differential operator, the smallest few eigenvalues and eigenvectors ofA ₁ are computed by the homotopy (continuation) method. The idea of the method is very simple. From some initial operatorA ₀ with known eigenvalues and eigenvectors, define the homotopyH(t)=(1–t)A ₀+tA₁, 0t1. If the eigenvectors ofH(t ₀) are known, then they are used to determine the eigenpairs ofH(t ₀+dt) via the Rayleigh quotient iteration, for some value ofdt. This is repeated untilt becomes 1, when the solution to the original problem is found. A fundamental problem is the selection of the step sizedt. A simple criterion to selectdt is given. It is shown that the iterative solver used to find the eigenvector at each step can be stabilized by applying a low-rank perturbation to the relevant matrix. By carrying out a small part of the calculation in higher precision, it is demonstrated that eigenvectors corresponding to clustered eigenvalues can be computed to high accuracy. Some numerical results for the Schrödinger eigenvalue problem are given. This algorithm will also be used to compute the bifurcation point of a parametrized partial differential equation.Dedicated to Herbert Bishop Keller on the occasion of his 70th birthdayThe work of this author was in part supported by RGC Grant DAG93/94.SC30.The work of this author was in part supported by NSF Grant DMS-9403899.     

Synthesis, structure, and biological evaluation of C-2 sulfonamido pyrimidine nucleosides

The C-2 sulfonamido pyrimidine nucleosides were prepared by opening the 2,2′- or 2,3′-bond in anhydronucleosides under nucleophilic attack of sulfonamide anions. Reaction of the sodium salt of p-toluenesulfonamide or 2-(aminosulfonyl)-N,N-dimethylnicotinamide with 2,2′-anhydro-1-(β-d-arabinofuranosyl)cytosine gave the C-2 sulfonamido derivatives in excellent yields. Ring opening of the less reactive 2,2′-anhydrouridine and 2,3′-anhydrothymidine could be accomplished with DBU/CH₃CN activation of p-toluenesulfonamide, giving moderate yields for C-2 sulfonamido derivatives. The action of acetic acid or ZnBr₂/CH₂Cl₂ on 5-methyl-N²-tosyl-1-(2-deoxy-5-O-trityl-β-d-threo-pentofuranosyl)isocytosine led to the cleavage of both the protection group and the nucleoside bond, yielding 5-methyl-N²-tosylisocytosine as the major product. Structures of the prepared C-2 sulfonamido nucleosides were confirmed by the 1D and 2D NMR experiments, and X-ray structural analysis of 4-imino-N²-tosylamino-1-(β-d-arabinofuranosyl)pyrimidine. Both methods confirmed β-configuration and anti-conformation of the 2-sulfonamido nucleosides. The investigated compounds displayed moderate inhibition of tumor cell growth in vitro, as determined by the MTT assay using six different human tumor cell lines.     

Non-destructive bone aluminum assay by neutron activation analysis

A non-destructive method based on instrumental neutron activation analysis (INAA) for the assay of aluminum in bone samples is described. The²⁸Al signal obtained upon neutron irradiation includes contributions from both the reaction²⁷Al(n,)²⁸Al and³¹P(n,)²⁸Al. The first reaction is with the thermal neutrons and the second one is with the fast neutrons. The contribution from the³¹P reaction is calculated from the fact that Ca/P ratio in bone mineral is constant and the amount of calcium can be measured from the thermal reaction⁴⁸Ca(n, )⁴⁹Ca. The aluminum values obtained by the INAA procedure agreed within 10% of those obtained by atomic absorption spectrophotometry. With this assay the levels of aluminum in normal bones (<70 g g^–1 apatite) cannot be determined reliably but higher aluminum levles in bone biopsies associated with Al toxicity, e.g. some patients with renal osteodystrophy, can be determined with a precision of ±10%.     

Maximum principle for optimal control of some parabolic systems with two point boundary conditions *

This paper deals with the maximum principle for optimal control problems of linear parabolic system with two point state constraint. Appliations to some boundary periodic and distributed control problems are given.     

On Hall Normally Embedded Subgroups of Finite Groups

A subgroup H of a finite group G is called Hall normally embedded in G if H is a Hall subgroup of the normal closure H ^G . Groups which contain a Hall normally embedded subgroup of order d for every factor d of | G | are characterized. Such groups are supersolvable with a cyclic nilpotent residual of square-free order.     

On minimal subgroups of finite groups

In this paper, the minimal subgroups of a finite group G are studied. Using the normalizes of Sylow subgroups of G, we obtain some sufficient conditions for G to be p-milpotent and supersolvable, which ae extensions of the related results of Burnside, Ito, Buckley and Asaad.