Diastereoselective construction of quaternary carbons directed via macrocyclic ring conformation: formal synthesis of (-)-mesembrine

In this article, we report a highly diastereoselective new method for the generation of quaternary carbon centers through an anionic oxy-Cope/alkylation sequence where the diastereoselectivity is induced by the conformation of a macrocyclic tetrasubstituted enolate. The use of our methodology culminated in the formal total synthesis of (-)-mesembrine (34) in 11 steps from known starting materials.     

以邻菲咯啉衍生物及1，3-间苯二甲酸为配体的一维链状Cd(Ⅱ)配位聚合物的合成及结构

在水热条件下,我们利用邻菲咯啉衍生物配体(L=2-(3-fluorophenyl)-1H-imidazo[4,5-f][1,10]phenanthroline)和1,3-间苯二甲酸(1,3-H2BDC)反应得到了一维配位聚合物[Cd2(L)2(1,3-BDC)2]n,并对该化合物进行了元素分析、红外和单晶X-射线表征。该化合物属于三斜晶系,空间群Pī,晶胞参数a=1.080 8(4)nm,b=1.149 5(4)nm,c=1.924 8(7)nm,α=106.482(5)°,β=99.436(6)°,γ=93.093(6)°,V=2 249.2(14)nm3,Z=4,C27H15CdFN4O4,Mr=590.83,Dc=1.745 g.cm-3,F(000)=1 176,μ(Mo Kα)=1.024 mm-1,R=0.044 5和wR=0.111 7。该化合物为一维链状结构,链与链之间又进一步地通过CH-π相互作用形成二维层状超分子结构。     

Parallel sparse Gaussian elimination with partial pivoting

In this article, we consider the factorization of a sparse nonsymmetric matrix using Gaussian elimination with partial pivoting on a multiprocessor having a globally-shared memory. The parallel algorithm makes use of a static data structure developed by George, Liu and Ng in [17]. Some numerical experiments on a Sequent Balance 8000 are presented to demonstrate the efficiency of the parallel implementation.Research supported in part by the Applied Mathematical Sciences Research Program, Office of Energy Research, U.S. Department of Energy under contract DE-AC05-84OR21400 with Martin Marietta Energy Systems, Inc.     

球面上等收敛算子的有界性

设Rⁿ 是n-维欧氏空间n≥3.用Ω_n表示Rⁿ 上的单位球面,对于函数f∈L（Ω_n）,E_N^δ（f）表示其Fourier-Laplace级数的δ阶Cesaro平均所决定的等收敛算子,其中,λ:=（n-2）/2,δ是熟知的临界指标.对于0<δ≤λ,令p₀:=(2λ)/（λ+δ）,本文主要证明了如下结果:     

正反馈选模和调Q技术

把一个由GaAs光电导开关和激光腔中的普克尔盒组成的正反馈回路,用于YAG激光器中,选单纵模和调Q,获得了稳定可靠的单纵模调Q脉冲.     

GS型包合物G2PEDS·MeOH·2(H2O)和G2PEDS·naphthalene的合成与晶体结构

合成了两个由胍盐(G)和4，4’—苯醚二磺酸(PEDS)为主体框架所形成的主— 客体包合物，分别为[(CH6N3)]2[(C12H8O7S2)]·MeOH·2(H20)(1)和[(CH6N3)]2[ (C12H8O7S2)]·(C10H8)(2)．两个化合物都是以P—1空间群结晶，晶胞参数分别为 ：1a＝0．7509(4)nm，b＝1．2113(6)nm，c＝1．5936(8)nm，a＝102．636(10)° ，β＝102．703(11)°,γ＝91．318(10)°；2a＝0．75409(3)nm，b＝1．21584 (5)nm，c＝3．09376(14)nm，a＝81．506(2)°，β＝89．669(2)°，γ＝88． 890(2)°。在这两个晶体结构中，G和PEDS通过氢键形成了双夹层—双柱子的主体 框架，客体分子被包合在平行于a轴方向的晶格空间．这种双夹层—双柱子的主体 框架在由胍盐(G)和有机二磺酸(S)体系所形成的、具有通道结构的主体框架中是较 为少见的．     

Revisions of P-1 Space Groups to Higher Symmetry Space Groups

The space groups of 244 crystal structures originally reported as P-1 are revised to space groups of higher symmetry. The largest number involves revisions to P2/c and C2/c.     

Real meromorphic functions and linear differential polynomials

We determine all real meromorphic functions f in the plane such that f has finitely many zeros, the poles of f have bounded multiplicities, and f and F have finitely many non-real zeros, where F is a linear differential polynomial given by F = f (k) +Σk-1j=0ajf(j) , in which k≥2 and the coefficients aj are real numbers with a0≠0.     

用宇宙线大气簇射Ne-Nμ关系研究“膝”区原初成分

用梁王山宇宙线观测站获得的宇宙线大气簇射μ子数据, 与假设原初分别为质子、氦核、中等核(Z=15)和铁核的Monte-Carlo模拟结果进行比较, 结果显示宇宙线膝区原初成分无明显变化且以轻核为主.