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  • Springer  (266)
  • 1990-1994  (257)
  • 1960-1964  (9)
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  • 11
    Electronic Resource
    Electronic Resource
    Springer
    Journal of chemical crystallography 21 (1991), S. 127-131 
    ISSN: 1572-8854
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract La2(C2O4)3·10H2O crystallizes in space groupP21/c (No. 14) witha=11.382(6),b=9.624(5),c=10.502(8) Å,β=114.52(4)°, andZ=2. The structure (R=0.029 for 3190 MoKα data) is composed of two-dimensional networks of edge-sharing 1∶5∶3 coordination polyhedra matching the (020) set of planes, each La(III) atom being surrounded by threeη 4 chelating oxalate groups and three aqua ligands with La-O distances in the range 2.518(4)–2.622(4) Å. The remaining water molecules are disordered over seven principal sites in the intervening space.
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  • 12
    ISSN: 1572-8862
    Keywords: Cubane-like ; double cubane-like ; Molybdenum-copper-sulphur clusters
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Two novel heterometallic cubane-like and double cubane-like clusters, {MoCu3S3(S2COEt)}(O)(Ph3P)3 I and {Mo2Cu6S6(SCMe3)2}(O)2(Ph3P)4 II, were synthesized by reaction of {MoCu2S3}(O)(Ph3P)3 with CuS2COEt and CuSCMe3, respectively. ClusterI crystallized in the triclinic space group $$P\overline 1 $$ (2) witha=12.766(6) Å,b=22.904(5) Å,c=10.522(3) Å, α=99.86(2)°, β=109.68(2)°, γ=86.84(3)°,V=2854(2) Å3,Z=2,R=0.049 for 6622 observed reflections (I〉5σ(I)) and 410 variables. ClusterII crystallized in the triclinic space group $$P\overline 1 $$ (2) with dimensionsa=14.212(4) Å,b=14.725(5) Å,c=12.396(8) Å, α=110.32(4)°, β=90.40(5)°, γ=62.88(2)°,V=2129(2) Å3,Z=1,R=0.039 for 6020 observed reflections (I〉3σ(I)) and 461 variables. ClusterI consists of a neutral cubane-like molecule with the core {MoCu3S3(S2COEt)}2+, in which one corner of the cubane-like core is a novel triply bridging bidentate 1,1-dithiolato (xanthate, S2COEt−) ligand. ClusterII is a double cubane-like one, in which two cubane-like cores {MoCu3S3(SCMe3)}2+ are connected by two Cu-S bonds of the triply bridging monothiolato (SCMe 3 − ) ligand. Two different pathways of unit construction from a small heterometallic cluster {MoCu2S3}(O)(Ph3P)3 have been outlined. Comparisons of the selected bond lengths and bond angles for the cubane-like core {MoCu3S3 X} (X=Cl−, Br−, S2COEt−, SCMe 3 − ) are given. Spectroscopic properties of the title clusters are also reported.
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  • 13
    ISSN: 1572-8862
    Keywords: Designed synthesis ; heterotrimetallic ; linear complexes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract The complexes [Et4N][(Ph3P)2{M′S2 MS2Fe}Cl2] (M=Mo,M′=Ag;M=W,M′=Cu, Ag) have been obtained by reaction of [Et4N]2[S2 MS2FeCl2] (M=Mo, W) with Cu(PPh3)3Cl or Ag(PPh3)3NO3 in MeCN/CH2Cl2, respectively. Crystal data for [Et4N][(PPh3)2 {AgS2MoS2Fe}Cl2] (I): triclinic, P $$\bar 1$$ (No. 2),Z=2,a=13.41(1)Å,b=15.54(1)Å,c=12.30(1)Å, α=105.24(6)°, β=94.63(7)°, γ=101.38(6)°, andV=2399(4)Å3. The bond lengths of Mo-Fe bond and the Mo-Ag distance are 2.756(2)Å and 3.033(2)Å, respectively. Crystal data for [Et4N][(PPh3)2 {AgS2WS2Fe}Cl2] (II): triclinic, P $$\bar 1$$ (No. 2),Z=2,a=13.457(5))Å,b=15.601(6)Å,c=12.338(4)Å, α=105.20(3)°, β=94.61(4)°, γ=101.43(4)°, andV=2426(2)Å3. The bond length of W-Fe bond and the W-Ag distance are 2.786(2)Å and 3.076(1)Å, respectively. Crystal data for [Et4N][(PPh3)2 {CuS2WS2Fe}Cl2] (III): triclinic, P $$\bar 1$$ (No. 2),Z=2,a=13.498(5)Å,b=15.372(4)Å,c=12.340(4)Å, α=105.54(2)°, β=93.32(3)°, γ=101.40(3)°, andV=2401(1)Å3. The bond lengths of W-Fe bond and the W-Cu bond are 2.800(1)Å and 2.851(1)Å, respectively.
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  • 14
    Electronic Resource
    Electronic Resource
    Springer
    Journal of cluster science 5 (1994), S. 265-285 
    ISSN: 1572-8862
    Keywords: Designed synthesis ; transition metal clusters
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Designed synthesis for some transition metal clusters involving bridging-sulfido ligands is reviewed. The basic concept with the use of reactive fragments as building blocks is described. It is shown that the sulfido ligands with lone-pair electrons and the unsaturated coordination sites play important roles in this rational synthesis. The relationship between the metallic coordination types of the sulfido ligands and their assembling activity in the compounds is summarized. Examples of the six kinds of “unit construction” with reactive fragments as building blocks are shown, indicating clearly that the “unit construction” is a reasonable way in the synthesis of transition metal clusters involving bridging sulfido ligands. Finally, the potential application of the “unit construction” schemes in the synthesis of transition metal clusters involving other bridging ligands is presented.
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  • 15
    Electronic Resource
    Electronic Resource
    Springer
    Annals of operations research 33 (1991), S. 437-449 
    ISSN: 1572-9338
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract LetM be a metric space andP a finite set of points inM. The Steiner ratio inM is defined to beρ(M)=inf{L s(P)/L m(P) |P ⊂M}, whereL s(P) andL m(P) are the lengths of the Steiner minimal tree and the minimal spanning tree onP, respectively. In this paper, we study various conjectures onρ(M). In particular, we show that forn-dimensional Euclidean spaceℝ n ,ρ(ℝ n )〉0.615.
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  • 16
    Electronic Resource
    Electronic Resource
    Springer
    Annals of operations research 24 (1990), S. 9-28 
    ISSN: 1572-9338
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract This paper is a survey of Rosen's projection methods in nonlinear programming. Through the discussion of previous works, we propose some interesting questions for further research, and also present some new results about the questions.
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  • 17
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 169 (1962), S. 286-288 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract For the halflife of the 1,49 MeV state in Co57 an upper limit of 3,0 × 10−10 sec. has been found.
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  • 18
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical programming 57 (1992), S. 193-202 
    ISSN: 1436-4646
    Keywords: Steiner trees ; approximation performance ratio
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Finding a shortest network interconnecting a given set of points in a metric space is called the Steiner minimum tree problem. The Steiner ratio is the largest lower bound for the ratio between lengths of a Steiner minimum tree and a minimum spanning tree for the same set of points. In this paper, we show that in a metric space, if the Steiner ratio is less than one and finding a Steiner minimum tree for a set of size bounded by a fixed number can be performed in polynomial time, then there exists a polynomialtime heuristic for the Steiner minimum tree problem with performance ratio bigger than the Steiner ratio. It follows that in the Euclidean plane, there exists a polynomial-time heuristic for Steiner minimum trees with performance ratio bigger than $${\textstyle{1 \over 2}}\sqrt 3 $$ . This solves a long-standing open problem.
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  • 19
    Electronic Resource
    Electronic Resource
    Springer
    Letters in mathematical physics 29 (1993), S. 133-150 
    ISSN: 1573-0530
    Keywords: 82B26 ; 83D55 ; 45G10 ; 45L
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The Letter studies the problem of numerical approximations of the critical transition temperature and the energy gap function in the Bardeen-Cooper-Schrieffer equation arising in superconductivity theory. The positive kernel function leads to a phonon-dominant state at zero temperature. Much attention is paid to the equation defined on a bounded region. Two discretized versions of the equation are introduced. The first version approximates the desired solution from below, while the second, from above. Numerical examples are presented to illustrate the efficiency of the method. Besides, the approximations of a full space solution and the associated critical temperature by solution sequences constructed on bounded domains are also investigated.
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  • 20
    Electronic Resource
    Electronic Resource
    Springer
    Earth, moon and planets 66 (1994), S. 49-52 
    ISSN: 1573-0794
    Keywords: Comet ; Jupiter/P ; Radio Burst
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract On July 21, 1994, 13 h - 15 h UT, decametric bursts had been recorded at frequencies from 24.0 MHz to 28.5 MHz in Xin Xiang station (longitude =-113.8°, latitude =35.3°), Henan province, China. Three maps of the three hour data are presented. Some of the bursts appears to be relative to the impact of the fragment S(No. 5) of the comet SL-9.
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