Cluster compatibility

The isopoly anions may be considered to be portions of a closest packed array of oxide ions with the metal ions occupying the octahedral holes. The edge-sharing array found in [V n02S]6 consists of ten octahedra stacked as shown in Fig. 16.10a. This seems to be the largest stacked-octahedral isopoly anion cluster compatible with metal-metal repulsions, and the remaining edge-shared structures represent portions of this unit.46... 

Fourth, the 1922 aerial photograph reveals numerous ground scar clusters compatible with impact areas. Most of these are outside the current FUDS boundary and have not been surveyed. Fifth, the Range and Reservation map has a target identified. This was a point of interest. Last, the anecdotal evidence indicating that children found shells at various places is compatible with aerial photographic evidence and other range information. 

The diffraction patterns due to different isochiral clusters are superimposed and well separated in a polychiral MWCNT diffraction pattern, suggesting that interference between waves scattered by tubes with different chiral angles can be neglected. It is therefore meaningful to discuss only isochiral clusters of tubes. Such clusters are only compatible with a constant intercylinder spacing c/2 for pairs of Hamada indices satisfying the condition = L +M +LM - (nc/a). Approximate solutions are for instance (8, 1) and (5, 5) [16,17]. 

Recently Jensen and co-workers have determined the structure of a clostridial-type ferredoxin obtained from Micrococcus aerogenes (47). One of the two apparently identical iron-sulfur clusters is illustrated in Fig. 2. The structure is compatible with a model with iron and labile sulfide at alternate comers of a cube. This accounts for the equivalence of these moieties in the protein. Another 8-iron-8 labile sulfur ferredoxin, from Clostridium acidiurici, similarly contains two independent iron-sulfur clusters per molecule (48). Strahs and Kraut (49) had earlier discovered... 

As we have shown in D Antona Montalban (2003), only models adopting very low efficiency convection in PMS are compatible with the lithium depletion patterns shown by young open clusters, that is, only the models which do not fit... 

The bulge metallicity distribution also shows a rough compatibility with a Simple model (Fig. 8.22), although the exact metallicities here (based on mulhcolour photometry) depend on those of globular clusters used for calibration which are not quite certain. Nevertheless, broadly similar distributions have been derived from direct spectroscopy (Fulbright, McWilliam Rich 2006). An initial enrichment corresponding to [Fe/H] = —1.6 (as could be expected from inflow of halo gas) is not excluded by the data. 

The carbonylation of imidazole derivatives with several olefins takes place in high yields with the aid of an Ru3(CO)i2 catalyst.112,112a The carbonylation occurs exclusively at the a-position to the sp2 nitrogen (Equation (85)). A wide range of olefins can be utilized in this reaction, and a variety of functional groups are compatible under the reaction conditions. The (/i-H)triruthenium clusters such as 12 are proposed as a key species in this carbonylation reaction. Other five-membered A-heteroaromatic compounds, such as pyrazoles, oxazoles, and thiazoles, can be used for the carbonylation reactions, where the carbonylation takes place at the a-C-H bond to the sp2 nitrogen. 

Strictly speaking, the two models are not mutually compatible, and the concentrations of different cluster species are not equivalent to the weights associated with different basic lattice section occupancies. Nevertheless there exists the similarity that thermodynamic weights are associated, in each calculation, with various kinds of hydrogen bonded configurations of molecules. How these are subsequently used differs profoundly. I have deliberately used the very loose language of the text to extract for the reader the concept most nearly common to the two approaches. 

As Fig. 15b illustrates, the graphical relation appears to be linear for an interaction number of 3 to 4, if A 1. Alternatively, for A = 1, linearity is evident (Fig. 15c) when the interaction number is 5 to 6. Thus a large value of A is compatible with the smallest interaction number. Excimer formation occurs within the fluorescence lifetime, about 8 nsec. Within that time the pyrene-labeled amine side chains must approach within about 4 A of each other. For the 5.3% pyrenylpolyethylenimine derivative in ethanol, where no ground-state association occurs, the effective local concentration of pyrene on the polymer matrix is about 10-2 M, as calculated from excimer fluorescence. In aqueous solution, where clusters form within the polymer matrix, the effective local concentration of pyrene adduct must be even greater. The quantitative assessment of fluorescence intensities (Fig. 15) points to a minimum interaction number of 3 to 4 pyrenyl-labeled amine side chains, within the 8 nsec lifetime. Since A 1, it appears from (12) that kDM(A) kMD + kD. Thus excimer formation must be very rapid in the polymer environment. We can conclude, therefore, that the primary-amine side chains of poly-ethylenimine are very flexible and mobile. 

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