On Preconditioners for the Borsuk Existence Test

Existence or fixed point theorems, combined with interval analytic methods, provide a means to computationally prove the existence of a zero of a nonlinear system in a given interval vector. One such test is based on Borsuk's existence theorem. We discuss preconditioning techniques that are aimed at improving the effectiveness of this test. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

From heterobimetallic transition metal complexes to linear coordination polymers based on cis‐ and trans‐L2Pt(CCPh)2

The reaction of cis‐(2,2′‐bipyridine) Pt(CCPh)₂ cis‐(4,4′‐dimethyl‐2,2′‐bipyridine) Pt‐(CCPh)₂ and trans‐(Ph₃P)₂Pt(CCPh)₂ towards different group 11 transition‐metal salts [M′X] (M′ = Cu, Ag; X = inorganic ligand) to give heterobimetallic or linear oligomeric and polymeric transition metal complexes is described. Different coordination modes for M′, PhCC, PPh₃, and X were found in these species. The structural aspects as well as the preference for one coordination mode over another is discussed. © 2002 Wiley Periodicals, Inc. Heteroatom Chem 13:521–533, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/hc.10097     

四磺酸酞菁及其金属配合物的合成、表征及对1,5-萘二酚的光敏催化氧化性能

以4-磺酸钾邻苯二腈为原料合成了水溶性四磺酸酞菁(H₂PcTS)及其金属配合物(ZnPcTS, FePcTS, CoPcTS), 通过透析法提纯得到了纯度较高的产物. 采用傅里叶变换红外光谱(FTIR)、紫外-可见吸收光谱(UV-Vis)、核磁共振氢谱(¹H NMR)及循环伏安(CV)等测试手段表征了四磺酸酞菁及其配合物的结构和性质. 结果表明, 磺酸酞菁在水溶液中存在不同程度的聚集现象, 金属离子的配位会对磺酸酞菁的光谱和电化学性质产生影响. 研究了磺酸酞菁作为光敏剂催化氧化1,5-萘二酚的反应, 发现FePcTS/H₂O₂催化体系对1,5-萘二酚具有良好的催化氧化性能, 氧化产物主要为5-羟基-1,4-萘醌. 比较了不同溶液pH值对FePcTS和H₂PcTS催化能力的影响, 初步探讨了该反应的催化机理.     

Nucleotides,Part LXIII,New 2-(4-Nitrophenyl)ethyl(Npe)- and 2-(4-Nitrophenyl)ethoxycarbonyl(Npeoc)-Protected 2′-Deoxyribonucleosides and Their 3′-Phosphoramidites – Versatile Building Blocks for Oligonucleotide Synthesis

A series of new base-protected and 5′-O-(4-monomethoxytrityl)- or 5′-O-(4,4′-dimethoxytrityl)-substituted 3′-(2-cyanoethyl diisopropylphosphoramidites) and 3′-[2-(4-nitrophenyl)ethyl diisopropylphosphoramidites] 52 – 66 and 67 – 82 , respectively, are prepared as potential building blocks for oligonucleotide synthesis (see Scheme). Thus, 3′,5′-di-O-acyl- and N ²,3′-O,5′-O-triacyl-2′-deoxyguanosines can easily be converted into the corresponding O⁶-alkyl derivatives 6 , 8 , 10 , 12 , 14 , and 16 by a Mitsunobu reaction using the appropriate alcohol. Mild hydrolysis removes the acyl groups from the sugar moiety (→ 9 , 11 , 13 , 15 , and 19 (via 18 ), resp.) which can then be tritylated (→ 38 – 42 ) and phosphitylated (→ 57 – 61 ) in the usual manner. N ²-[2-(4-nitrophenyl)ethoxycarbonyl]-substituted and N ²-[2-(4-nitrophenyl)ethoxycarbonyl]-O⁶-[2-(4-nitrophenyl)ethyl]-substituted 2′-deoxyguanosines 5 and 7 , respectively, are synthesized as new starting materials for tritylation (→ 28 , 35 , and 37 ) and phosphitylation (→ 54 , 56 , 70 , and 78 ). Various O⁴-alkylthymidines (see 20 – 24 ) are also converted to their 5′-O-dimethoxytrityl derivatives (see 43 – 47) and the corresponding phosphoramidites (see 62 – 66 and 79 – 82 ).     

Darstellung und Kristallstrukturen von neutralen und kationischen Kupfer(I)-Gemischtligandkomplexen mit Derivaten des Biimidazols und Triphenylphosphan

Preparation and Crystal Structures of Neutral and Cationic Copper(I) Mixed Ligand Complexes with Triphenylphosphane and Derivatives of Biimidazole Eight triphenylphosphanecopper(I) complexes with bibenzimidazole, tetramethylbiimidazole or tetrahydrobiimidazole were prepared and characterized so far as possible by elemental analysis, IR, ¹H-NMR and ³¹P-NMR spectra. The crystal structures of two complexes with bibenzimidazole were determined. [Cu(bbimH₂)(PPh₃)₂]Cl · CH₂Cl₂: Reaction of CuCl with bibenzimidazole in fused triphenylphosphane or [CuCl(PPh₃)₃] with bibenzimidazole in CH₂Cl₂. Space group P 1, Z = 2, 6440 observed independent reflections, R = 0.064 for refletions with I > 2σ(I). Lattice parameters at 203 K: a = 983.6; b = 1348.9; c = 1805.5 pm; α = 77.24; β = 80.90; γ = 85.81°. The crystal structure is built up by monomeric molecules with distorted tetrahedral coordination of the copper atom (CuN₂P₂) and bibenzimidazole as bidentate ligand. The chloride ion is linked by H-bonds with the NH groups of the bibenzimidazole. [{Cu(PPh₃)₂}₂(μ-bbim)] · 2 CH₂Cl₂: Reaction of [CuCl(PPh₃)₃] with the dipotassium salt of bibenzimidazole in CH₃OH/CH₂Cl₂. Space group P 1, Z = 1, 7192 observed independent reflections, R = 0.057 for reflections with I > 2σ(I). Lattice parameters at 203 K: a = 1334.1; b = 1386.8; c = 1443.7 pm; α = 107.51; β = 103.35; γ = 113.74°. The crystal structure is built up by centrosymmetric molecules with distorted tetrahedral coordination of the copper atoms (CuN₂P₂) and bibenzimidazolate(2–) as tetradentate bridging ligand.     

Structures of Iodophenyltellurium(II) and Diiododi-(β-naphtyl)tellurium(IV)

The reactions between diphenyl ditelluride, (PhTe)₂, or di(β-naphtyl)ditelluride, (β-naphtylTe)₂, with equivalent amounts of iodine have been reinvestigated and the crystal and molecular structures of iodophenyltellurium(II), (PhTeI)₄, and diiododi-(β-naphtyl)tellurium(IV), (β-naphtyl)₂TeI₂, have been determined. The structure of iodophenyltellurium(II) (space group Cc, a = 13.850(5) Å, b = 13.852(3) Å, c = 16.494(6) Å and β = 101.69(2)°, Z = 4) is built up by four PhTeI units which are linked by weak Te–Te interactions with Te–Te distances between 3.152(5) Å and 3.182(4) Å. The angles between the tellurium atoms are approximately 90° giving an almost perfect square. Long range secondary bonds (Te–I: about 4.2 Å) link the tetrameric units to give an infinite two-dimensional network. Iodo(β-naphtyl)tellurium(II) is less stable than the phenyl derivative. Solutions of this compound decompose under formation of elemental tellurium and (β-naphtyl)₂TeI₂. (β-Naphtyl)₂TeI₂ crystallises in the monoclinic space group C 2/c (a = 21.198(6) Å, b = 5.8921(8) Å, c = 16.651(5) Å, β = 114.77(2)°). The tellurium atom is situated on a two-fold crystallographic axis and Te–I and Te–C bond lengths of 2.899(1) and 2.108(7) Å have been determined.     

Synthesis and Structure of (NH4)2[(AuI4)(MI4)] (M = Ga,In)

The compounds (NH₄)₂[(AuI₄)(MI₄)] (M = Ga, In) were obtained in sealed glass ampoules by reaction of I₂, NH₄I, Au and Ga or In as air‐sensitive black crystals. Both compounds crystallize in the orthorhombic space group Pnma (No. 62) and are isotypic: (NH₄)₂[(AuI₄)(GaI₄)], a = 12.619(2), b = 20.625(5) and c = 7.693(2) Å; (NH₄)₂[(AuI₄)(InI₄)], a = 12.587(2), b = 20.606(5) and c = 7.696(2) Å. The structures can be described as constituted of NH₄⁺ cations and anionic zig zag chains of alternating tetrahedral MI₄^– (M = In, Ga) and square planar AuI₄^– units running along [010]. Within the chains, the MI₄^– ions form weak interactions with two of their I atoms to the AuI₄^– ions resulting in strongly elongated AuI₆ octahedra.     

一种基于编码孔径成像原理的三维成像方法

三维成像技术因其应用广泛而备受关注。根据编码孔径成像的基本原理,提出了一种非相干可见光三维成像方法。这种两步成像方法的第一步采用空间位置编码的照相机阵列对物体拍照,在第二步中,首先将照相机阵列拍照得到的物体照片根据拍照时的位置关系合成为一幅图像,然后采用计算机程序模拟光学反投影解码方法解码再现出物体不同深度的表面分层图像。设计了初步的实验,该实验采用1部照相机依次在各编码位置对物体模型拍照,编码形式是包含9个点的无冗余阵列形式,物体模型只包含2个深度层次,布置在距离照相机阵列1.5m的地方。实验得到了信噪比较高的物体模型的分层解码图像,验证了这种三维成像方法的可行性。     

基于成像光通信的时间-空间扩频混合光码分多址编码方案

为了在成像光通信中充分利用时间和空间两种频带资源,以成像光通信为基础,提出一种利用二维光正交Pattern码结合时域扩频实现光码分多址(OCDMA)编码的新方案。分析在该方案中存在的多址干扰噪声,并给出了噪声的概率密度函数,然后讨论由多址噪声引起的误码率与判决门限、用户数、码长积和码重积之间的关系。在相同的码容量下与时域扩频光码分多址编码和空间扩频光码分多址编码方案相比,该方案能降低对相关器件性能(时域码片数量和空间像素规模)的要求,而且还可获得更小的误码率。最后给出编码解码的光学实现方案。