We show that each directed graph (with no parallel arcs) on n vertices, each with indegree and outdegree at least n/twhere t=2.888997… contains a directed circuit of length at most 3. 相似文献
Summary The halogen bridges of the dimeric, cyclometallated trimesityl-arsine and -phosphine complexes of palladium(II) and platinum(II), where M=Pd or Pt and E=P or As have been replaced with pyrazolate groups to give the corresponding and less symmetric pyrazolato-bridged complexes, where M=Pd or Pt, E=P or As, Pz=pyrazolato anion, and M=Pd, E=As, Pz=3,5-dimethylpyrazolato anion. In the case of the palladium complexes,1H. n.m.r. clearly indicates the presence of only one isomer which is most likely to have thetrans configuration while the platinum complexes are mixtures of bothcis andtrans forms.Part VI, ref. 3c 相似文献
Dendrimers with molecular weights ranging from ca. 2700 to 11 000 and from 16 to 64 homoallyl ether end groups were cross-linked using the Grubbs ring-closing metathesis reaction. A combination of SEC, MALDI-TOF-MS, and AFM were used to characterize the cross-linked nanoparticles. The data suggest a significant decrease in volume with cross-linking and a concomitant increase in rigidity, both of which can be controlled independently with a fair degree of precision. 相似文献
In the title two‐coordinate silver compound, [Ag(C3H9P)2]PF6, the cation has crystallographically imposed mirror symmetry, and approximates very closely to m (D3d) symmetry with fully staggered methyl groups in the solid state. The Ag atom has a nearly linear coordination geometry, with a P—Ag—P angle of 178.70 (4)°. The Ag—P bond lengths are 2.3746 (12) and 2.3783 (12) Å, which are significantly longer than the Au—P bond length of 2.304 (1) Å in the analogous two‐coordinate gold cation. The lack of intramolecular steric effects within the present cations containing trimethylphosphine (cone angle 118°), compared with those in known cations containing trimesitylphosphine (cone angle 212°), provides a better comparison of M—P distances and thus more conclusive evidence that Au really is smaller than Ag. 相似文献
The total synthesis of (±) dihydroreynosin and of (±) 1-oxocostic acid (R = H) are illustrative examples for a short entry into 1-oxygenated eudesmanes via an easily accessible key intermediate . 相似文献
A number of polyfunctionalized cis-bicycio ¦3.3.0¦octanes have been synthesized starting from the tricyclic key intermediate which was obtained by the intramolecular cyclopropanation reaction of the diazo keto ester . Selected stereocontrolled transformations of using nucleophiles and electrophiles have been studied for the preparation of the title compounds. 相似文献
Known chlorine atom concentrations were prepared in a discharge flow system and used to etch the (100) face of a gallium arsenide single crystal. The etch rate was monitored by mass spectrometry, laser interferometry, and surface proftlometry. In the temperature range from 90 to 160°C the reaction can be described by the rate law $$Etch rate = kP_{Cl} $$ where $$k = 9 \times 10^{(6 \pm 0.5)} \mu m min^{ - 1} Torr^{ - 1} e^{ - 9 \pm 1)kcal/RT} $$ 相似文献
Gaseous bis(hexamethydisilylamido)mercury(II), Hg{N(SiMe3)2)2}2, has been studied by electron diffraction at a nozzle temperature of ca 390 K.
The diffraction data are consistent with a model consisting only of monomers. By assuming the NHgN chain to be linear and the HgHSi2 fragments to be planar, an equilibrium conformer with a staggered Si2NHgNSi2 skeleton of Dad-symmetry may be brought into a nice agreement with the observed diffraction data. The relatively large value of the vibrational amplitude of the inter-ligand SiSi distance, 0.26(12) A, indicates that the ligands undergo large amplitude vibrations about the NHgN axis. Steric considerations as well as the magnitude of the rotational barrier as estimated from the diffraction data (ca. 2 kcal mol−1) show that this motion is hindered. A model with an eclipsed, co-planar Si2NHgNSi2 backbone of Dadsymmetry could not satisfactorily be brought into agreement with the observed diffraction data.
The values of some relevant key-parameters are: ra(Hg---N) = 2.01(2) A, ra(Si---N) = 1.732(9) A, ra(Si---C) = 1.883(6) A;HgNSi = 116.0(1.0)°, SiNSi = 128.0(2.0)°, NSiC= 111.8(1.2)° and SiCH = 111.0(2.0)°. The trimethylsilyl groups are twisted 25(3)° away from their references positions typified by one Si---C bond of each such group eclipsing the adjacent Hg---N bond, in such a way that the overall symmetry of the model is lowered from Dad to S4. 相似文献