NH3+自由基离子的电子自旋共振

本文研究了俘获于掺杂VO⁺⁺离子的(NH₄)₂Zn(SO₄)₂·6H₂O单晶中NH₃⁺自由基离子的ESR.从实验上分别测出π电子自由基NH₃⁺的¹⁴N和¹⁵N核超精细分裂.结果表明,氮核超精细偶合张量具有近似于圆柱形对称。对于¹⁵N来说,A₁₁=44.8,A₂₂=19.3,A₃₃=17.8高斯.对于¹⁴N来说,A₁₁=31.1,A₂₂=12.5,A₃₃=11.8高斯.在室温下,NH₃⁺自由基绕A₁₁方向作圆锥体运动.文中最后讨论了NH₃⁺自由基离子的可能生成机理。     

Destruction of epoxy resin by 10−3-sec laser pulses

High-speed photography is used to investigate the destruction of epoxy resin by laser pulses. The results suggest the following mechanism is at work. Initially, structural changes (gas-bubble formation) take place near the focus of the beam. These lead to the formation of an initial crack of fixed minimum size. At first the crack grows rapidly, then more slowly, as it is screened by other cracks. The discontinuous crack growth predicted by the theory is observed, the jump velocities being an order greater than the mean rate of crack growth on the same interval. The total area of destruction increases linearly with time; at the beginning of the process this increase is primarily associated with an increase in the number of cracks, in the final stages with the further growth of the cracks already formed.Scientific-Research Institute of Mechanics, Moscow Lomonosov State University. Translated from Mekhanika Polimerov, No. 3, pp. 460–464, May–June, 1969.     

Augmented non-quadratic penalty algorithms

Auslender, Cominetti and Haddou have studied, in the convex case, a new family of penalty/barrier functions. In this paper, we analyze the asymptotic behavior of augmented penalty algorithms using those penalty functions under the usual second order sufficient optimality conditions, and present order of convergence results (superlinear convergence with order of convergence 4/3). Those results are related to the analysis of pure penalty algorithms, as well as augmented penalty using a quadratic penalty function. Limited numerical examples are presented to appreciate the practical impact of this local asymptotic analysis.This research was partially supported by NSERC grant OGP0005491     

Bicomplex Quantum Mechanics: I. The Generalized Schrödinger Equation

We introduce the set of bicomplex numbers which is a commutative ring with zero divisors defined by where We present the conjugates and the moduli associated with the bicomplex numbers. Then we study the bicomplex Schr?dinger equation and found the continuity equations. The discrete symmetries of the system of equations describing the bicomplex Schr?dinger equation are obtained. Finally, we study the bicomplex Born formulas under the discrete symmetries. We obtain the standard Born’s formula for the class of bicomplex wave functions having a null hyperbolic angle.     

Bio-barcodes based on oligonucleotide-modified nanoparticles

By utilizing oligonucleotide-modified Au nanoparticles encoded with sequences that act as biobarcodes, one can screen for multiple target polyvalent proteins simultaneously in one solution. This novel concept was demonstrated with two types of detection formats, a homogeneous assay and one based on oligonucleotide microarrays. With such an approach, one can prepare an extraordinarily large number of barcodes from synthetically accessible oligonucleotides (e.g., a 12-mer sequence offers 4(12) possible barcodes).     

A tetranuclear heterobimetallic square formed from the cooperative ligand binding properties of square planar and tetrahedral metal centers

Reaction of Rh(I) and Zn(II) metal centers with a ligand containing salicylaldiminato and thioether-phosphine moieties resulted in the formation of a tetranuclear heterobimetallic molecular square. The directionality required to form these structures is imparted by both the tetrahedral and square planar metal centers acting in concert with one another.