Tetra­kis(1‐eth­yl‐1H‐1,2,4‐triazole‐κN4)bis­(nitrato‐κO)copper(II) and bis­(nitrato‐κO)tetra­kis­(1‐prop­yl‐1H‐1,2,4‐triazole‐κN4)copper(II)

The copper(II) environments for tetra­kis­(1‐eth­yl‐1,2,4‐triaz­ole)­dinitratocopper(II), [Cu(NO₃)₂(C₄H₇N₃)₄], and tetrakis­(1‐prop­yl‐1,2,4‐triazole)dinitratocopper(II), [Cu(NO₃)₂(C₅H₉N₃)₄], are distorted square bipyramidal. Both structures are centrosymmetric, with the copper(II) ions located at inversion centers coordinated by four N atoms of four triazole mol­ecules and by two O atoms of two nitrate ions in an elongated octa­hedral geometry. This elongation is a result of the Jahn–Teller effect. The largest distortion is that of the N—Cu—O angles, which differ from 90° by 5.68 (10)° in the eth­yl and 5.59 (8)° in the prop­yl derivative.     

Structure modulated electronic contributions to metalloenediyne reactivity: synthesis and thermal Bergman cyclization of MLX2 compounds

The synthesis of novel metalloendiyne complexes MLRX(2) (where L = 1,4-dibenzyl/diethyl-1,4-diaza-cyclododec-8-ene-6,10-diyne, X = halogen) are reported with their X-ray crystal structures and thermal Bergman cyclization temperatures. Two distinct types of constructs are obtained; the Zn(II) compounds are tetrahedral, while the Cu(II) and the Pd(II) compounds are all distorted- or square-planar. Each possesses structurally similar enediyne conformations and critical distances (3.75-3.88 A). The tetragonal Cu(II) species all exhibit Bergman cyclization temperatures between 140 and 150 degrees C in the solid state, while the square-planar Pd(II) analogues possess similar critical distances but cyclize at significantly higher temperatures (205-220 degrees C). In contrast, the Zn(II) derivatives show a marked halogen dependence, with X = Cl having the highest Bergman cyclization temperature, which is comparable to the Pd(II) square-planar set, while the ZnLX(2) compound with X = I shows the lowest Bergman cyclization temperature (144 degrees C), similar to the Cu(II) derivatives. Moreover, for the planar constructs, the R group has little influence on the cyclization temperatures; however, for the tetrahedral ZnLX(2) compounds, the steric influence of the R group plays a more significant role in the cyclization reaction coordinate by influencing the stability of the precyclized intermediate. This complex set of results is best interpreted by a combination of steric contributions and electronic interactions between the halogen through space (in the case of Zn(II)) and through bonds (in the case of Pd(II)) and the pi orbitals of the endiyne fragment. In contrast, for Cu(II) systems, the distorted square-planar geometry permits neither direct through space nor symmetry-allowed through bond communication between the orbital partners, and thus little variation in Bergman cyclization reactivity is observed.     

Self‐healing of high elasticity block copolymers

A new route for adding self‐healing properties to soluble polymers is presented briefly. Self‐healing block copolymers (polystyrene‐block‐polybutadiene block‐polystyrene from Sigma‐Aldrich) were obtained by dissolving the polymer in a solvent that neither dissolves the microbubbles nor deactivate the Grubbs catalyst. The self‐healing block copolymer has been obtained by mixing the polymer, the solvent, the microbubbles filled with monomer (dicyclopentadiene), and the Grubbs' catalyst followed by the evaporation of the solvent. The structure of self‐healed high elasticity block copolymer has been investigated by optical and Scanning Electron Microscopy. Raman spectroscopy and mechanical data suggested that the block copolymer exhibits self‐healing features. Copyright © 2008 John Wiley & Sons, Ltd.     

Synthesis and Crystal Structure of MnII(OAc)2[15-MC MnIII(N)shi-5](Im)3(EtOH)3 (shi3??=?salicylhydroximate, ?OAc?=?acetate, Im?=?imidazole, and EtOH?=?ethanol)

Abstract  

The metallacrown complex Mn^II(OAc)₂[15-MC_Mn^III _(N)shi-5](Im)₃(EtOH)₃ has been synthesized and characterized by single-crystal X-ray diffraction and infrared spectroscopy. The compound crystallizes in the monoclinic space group P2₁/c with a = 24.3326(15) ?, b = 24.0354(15) ?, c = 27.0531(17) ?, α = 90.00°, β = 100.3883(11)°, γ = 90.00°, V = 15562.5(17) ?³, Z = 4, and Z′ = 2. Four of the five manganese(III) ions of the metallacrown ring adopt a distorted octahedral coordination geometry, and the fifth manganese(III) ion is five coordinate and exhibits a distorted square pyramidal environment. The configuration of the manganese(III) ions about the ring follows a pattern of ΔΛΔPP, with P representing planar. In addition, the imidazole units are bound to three separate ring manganese(III) ions, and the imidazole units are directed to the outside of the molecule. A manganese(II) ion is encapsulated in the central core of the molecule, and the central ion is seven coordinate with a face-capped trigonal prismatic geometry.     

Further remarks on the correction for reabsorption

The formula for correction for reabsorption in the case of a plane-parallel luminophor excited and observed from one side is presented in a form convenient for computation. This form clearly shows the effect on the reabsorption correction of changing the parameters of the experiment.     

连续波锁模Pr3+:YLF激光器

本文报导了采用氩离子激光器来泵浦Pr³⁺:YLF晶体,应用声光调制器实现了主动锁模;同时应用振动─高反射平面镜也实现了被动锁模,两种锁模均得到了ps光脉冲.据作者了解这是这种晶体材料的第一次锁模运转.     

Solution of sparse quasi-square rectangular systems by Gaussian elimination

We present a general method for the linear least-squares solutionof overdetermined and underdetermined systems. The method isparticularly efficient when the coefficient matrix is quasi-square,that is when the number of rows and number of columns is almostthe same. The numerical methods for linear least-squares problemsand minimum-norm solutions do not generally take account ofthis special characteristic. The proposed method is based onLU factorization of the original quasi-square matrix A, assumingthat A has full rank. In the overdetermined case, the LU factorsare used to compute a basis for the null space of A^T. The right-handside vector b is then projected onto this subspace and the least-squaressolution is obtained from the solution of this reduced problem.In the case of underdetermined systems, the desired solutionis again obtained through the solution of a reduced system.The use of this method may lead to important savings in computationaltime for both dense and sparse matrices. It is also shown inthe paper that, even in cases where the matrices are quite small,sparse solvers perform better than dense solvers. Some practicalexamples that illustrate the use of the method are included.     

Axisymmetric cellular structures revisited

For an axisymmetric cellular structure of wavenumberq ₀, the amplitude of the first linearly unstable mode is proportional to the Bessel functionJ ₀(q ₀r). If the radius of the structure is much larger thanq ₀ ^–1 , the first mode has a large relative maximum near the center. The nonlinear saturation of this instability gives an amplitude of order ^1/2, being the small growth rate of the linear instability. The saturation amplitude near the center is of order ^1/4. This prediction is confirmed by numerical analysis and numbers are given to make possible a comparison with the Rayleigh-Bénard instability.

---

Resumé Pour une structure cellulaire axisymétrique de nombre d'ondeq ₀, l'amplitude du premier mode instable est proportioneile á la fonction de BesselJ ₀(q ₀r). Si le rayon de la structure est très supérieur àq ₀ ^–1 ce premier mode a un grand maximum relatif au centre. La saturation non linéaire de cette instabilité conduit à une amplitude en ^1/2 ( taux de croissance-petit-de l'instabilité linéaire). L'amplitude de saturation au centre est d'ordre ^1/4. Cette prédiction est confirmée par l'analyse numérique, et les nombres nécessaires à la comparaison avec l'instabilité de Rayleigh-Bénard sont donnés.