Electronic structure of PCBM

We have studied the electronic structure of [6,6]-phenyl-C₆₁-butyric-acid-methyl-ester (PCBM) using synchrotron radiation photoelectron spectroscopy (PES) measurements and first-principles calculations. The PES spectrum of the entire occupied valence band is reported, which exhibits abundant spectral features from the Fermi level to ～24 eV binding energy. All the spectral features are broadened as compared with the cases of C₆₀. The reasons for the broadening are analysed by comparing the experimental data with the calculated energy levels and density of states. Special attention is paid to the analysis of the C₆₀ highest occupied molecular orbital (HOMO)-1 derived states, which can play a crucial role in the bonding at the interfaces of PCBM/polymer blenders or PCBM/electrodes. Besides the well-known energy level splitting of the C₆₀ backbone caused by the lowered symmetry, C 2p states from the side chain mix or hybridize with the molecular orbitals of parent C₆₀. The contribution of the O 2p states can substantially modify the PES spectrum.     

Excess based allocation of risk capital

In this paper we propose a new rule to allocate risk capital to portfolios or divisions within a firm. Specifically, we determine the capital allocation that minimizes the excesses of sets of portfolios in a lexicographical sense. The excess of a set of portfolios is defined as the expected loss of that set of portfolios in excess of the amount of risk capital allocated to them. The underlying idea is that large excesses are undesirable, and therefore the goal is to determine the allocation for which the largest excess is as small as possible. We show that this allocation rule yields a unique allocation, and that it satisfies some desirable properties. We also show that the allocation can be determined by solving a series of linear programming problems.     

An alternative approach to well-posedness of a class of differential inclusions in Hilbert spaces

We show the well-posedness of initial value problems for differential inclusions of a certain type using abstract perturbation results for maximal monotone operators in Hilbert spaces. For this purpose the time derivative is established in an exponentially weighted _L2$L_2$ space. The problem of well-posedness then reduces to show that the sum of two maximal monotone operators in time and space is again maximal monotone. The theory is exemplified by three inclusions describing phenomena in mathematical physics involving hysteresis.     

Conservation laws for some compacton equations using the multiplier approach

This paper is an application of the variational derivative method to the derivation of the conservation laws for partial differential equations. The conservation laws for (1+1) dimensional compacton k(2,2) and compacton k(3,3) equations are studied via multiplier approach. Also the conservation laws for (2+1) dimensional compacton Zk(2,2) equation are established by first computing the multipliers.     

Pólya 方法与逐次差分代换方法

通过检查某些特定型系数的非负性来证明给定型非负性的方法中, 最典型的是Pólya 方法与基于重心矩阵的逐次差分代换方法(GSDS). 本文完整地比较了这两种方法的适用范围, 证明了型f 如果可使用Pólya 方法证明非负性, 则GSDS 方法也可以, 但反之不然. 即GSDS 方法的适用范围严格大于Pólya 方法的适用范围.     

Simultaneous Approximation in Positive Characteristic

 Let be the approximation exponent of a power series α (so that when α is algebraic of degree d, then by Dirichlet’s and Liouville’s Theorems). If the characteristic is positive, q is a power of the characteristic, and are related by a fractional linear transformation with polynomial coefficients, then by respective work of Voloch and of de Mathan, there are constants such that has no solution if , and infinitely many solutions if . We will formulate and prove generalizations to simultaneous approximation. (Received 7 December 1999; in revised form 31 March 2000)     

Semiconducting black phosphorus

Black phosphorus is a narrow-gap semiconductor newly attracting attention because of recent success in growing single crystals at a high temperature under a high pressure. This review covers recent research work on the preparation, the crystal structure, the band structure, the electrical and optical properties, and the superconductivity of black phosphorus.     

Isolation of the active constituents in natural materials by 'heart-cutting' isocratic reversed-phase two-dimensional liquid chromatography

A multidimensional heart-cutting reversed-phase HPLC separation approach, where two columns were operated independently via two six-port two-position switching valves, was employed in the isolation of a major bioactive found in the ethanol-water (80:20) crude extract of Clerodendrum floribundum. In this mode of operation, the specific productivity of the multidimensional approach under overload conditions was twice that of conventional gradient methods with the same loading factor. Isolated sample purities were greater than 99% with recoveries of 95%. The independent operation of each of the two columns employed in the multidimensional approach allowed the cycle time to be less than 7 min, compared to 23 min in the gradient elution single-dimension mode of operation.     

Study of the subsurface photorefractive effect in lithium niobate

A new phenomenon of a strong irreversible variation of the refractive index (n–0.2) in a skin layer (thickness 300 Å) has been discovered. The effect arises under the strong absorption of high-power uv radiation (249 nm, 5 ns, 20 MW/cm²). The characteristics of the subsurface photorefractive effect (SPRE) were identified by using the data on measurements of the reflection coefficient of a crystal and of the diffraction efficiency of a recorded phase grating.