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Organometallic Compounds of the Lanthanides. LIII. (C5H5Gd)5(μ2-OCH3)4(μ3-OCH3)4 (μ5-O) and [Na2(tC4H9OGd)4(μ3-OtC4H9)8(μ6-O)], two New Alkoxi Gadolinium Clusters with Interstitial Oxygen Gadolinium trichloride reacts in tetrahydrofurane with cyclopentadienyl sodium and two equivalents of sodium methoxide with formation of (C5H5Gd)5(μ2-OCH3)4(μ3-OCH3)4(μ5-O) ( 1 ), and with potassium tert-butoxide with formation of [Na2(tC4H9OGd)4(μ3-OtC4H9)8(μ6-O)] ( 2 ). The X-ray structure of 1 shows a tetragonal pyramide build up by five gadolinium atoms, containing an oxygen atom in the center of the base and eight bridging methoxo groups. The structure of 2 consists of an oxygen centered octahedron build up by two sodium and four gadolinium atoms, connected by eight bridging tert-butoxy groups and four terminal butoxides. The monoclinic crystals of 1 , space group I2/a have the following crystallographic data: a = 2 276.9(5) pm, b = 2 063.1(6) pm, c = 3 152.2(3) pm, β = 90.7(1)°, Z = 12, Dcalcd 1.85 g · cm?3, R = 0.0519. 2 crystallizes tetragonal, space group I4/mmm with a = 1 728.5(4) pm, b = 1 031.0(3) pm, Z = 2, Dcalcd 1.69 g · cm?3, R = 0.0682. 相似文献
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The boron atom in C22H15BO5 is O,O’-chelated by the anions in a tetrahedral geometry, with the planar five-and six-membered chelate rings being orthogonal to each other. The molecule lies on a two-fold rotation axis. The molecule is disordered with respect to another molecule in a 93:7 ratio; the treatment of the ‘whole-molecule disorder’ by employing a large number of restraints is described. Crystal data: C22H15BO5, monoclinic C2/c, a = 17.1804(5), b = 12.9409(4), c = 9.8842(3) , β = 124.832(2)o, V = 1803.82(9) 3 at –173 K. 相似文献
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A general formulation of the nonlinear filtering problem inRiemanman manifolds is given by use of the strong solutionsof the stochastic differential equations for the state and observationprocesses in the orthonormal frame bundles of the state andobservation process manifolds, respectively. A general Bayesformula for the conditional expectation of smooth functionsof the state process is given. This is used to give a directderivation of the Zakai equation for the general problem underconsideration. An example is presented. 相似文献
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We obtain rigidity results on arbitrary proper holomorphic maps F from an irreducible bounded symmetric domain Ω of rank ≥2 into any complex space Z. After lifting to the normalization of the subvariety F (Ω) Z, we prove that F must be the canonical projection map to the quotient space of Ω by a finite group of automorphisms. The approach is along the line of the works of Mok and Tsai by considering radial limits of bounded holomorphic functions derived from F and proving that proper holomorphic maps between bounded symmetric domains preserve certain totally geodesic subdomains. In contrast to the previous works, in general we have to deal with multivalent holomorphic maps for which Fatou’s theorem cannot be applied directly. We bypass the difficulty by devising a limiting process for taking radial limits of correspondences arising from proper holomorphic maps and by elementary estimates allowing us to define distinct univalent branches of the underlying multivalent map on certain subsets. As a consequence of our rigidity result, with the exception of Type-IV domains, any proper holomorphic map f : Ω→ D of Ω onto a bounded convex domain D is necessarily a biholomorphism. In the exceptional case where Ω is a Type-IV domain, either f is a biholomorphism or it is a double cover branched over a totally geodesic submanifold which can be explicitly described. 相似文献
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KM Varier AM Vinodkumar NVSV Prasad PV Madhusudhana Rao DL Sastry Lagy T Baby MC Radhakrishna NG Puttaswamy JJ Das P Sugathan N Madhavan AK Sinha DO Kataria 《Pramana》1999,53(3):529-533
Large enhancements have been observed in the sub-barrier fusion cross sections for Ti+Ni systems in our previous studies.
Coupled channel calculations incorporating couplings to 2+ and 3− states failed to explain these enhancements completely. A possibilty of transfer channels contributing to the residual enhancements
had been suggested. In order to investigate the role of relevant transfer channels, measurements of one- and two-nucleon transfer
were carried out for 46,48Ti+61Ni systems. The present paper gives the results of these studies. 相似文献
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We define a Henstock-type integral on measure spaces with metrictopologies, and give an example of a function which is integrablebut whose absolute value is not. 1991 Mathematics Subject Classification26A39, 46G12. 相似文献