Spheres clusters

All spheres and sphere clusters were <1 pm. This would suggest a distant source in that larger spheres would have settled out during extended transport. Their spherical morphology points to combustion evolution, e.g., cooled silicate and metal droplets. 

Figure 5. High-voltage electron micrographs and x-ray spectra of microparticles collected at Whiteface Mountain in 1983. Scale bars equal 0.5 pm. (a) y-Fe203 sphere collected 28 July II. (b) y-Fe203 sphere cluster collected 28 July IV. (c) Mullite sphere collected 28 July IV. (d). Mixed-element sphere collected 28 July III.

Given a particle made up of a two-sphere cluster, each sphere having a density of 2 g/cm3 and a diameter of 1 pm, find the aerodynamic and Stokes diameter of the cluster. 

FIGURE 9.10 PDB structures and conservation of P-type ATPases. (a) Topology diagram of atypical P-type ATPase a-subunit with 10 TM helices, (b) Sequence conservation among human P-type ATPases. Highly conserved residues (magenta spheres) cluster in the P-domain. From Bublitz et al, 2010. Reproduced with permission from Elsevier.)... 

Fig. 2 Three-dimensional visualizations of pore structures in a random packing sphere clusters on left polyhedral discretizations of the same on right (A) Ns A, z — A (tightest cluster possible) (B) Ns = 6 z = 1.

Isolated as the barium salt, CjtHj.BaNjOjjPj, small yellow spheres clustered like grapes. Absorption max 366, 445 nm. The absorption curve is practically identical with that of riboflavine. There is some stronger absorption between 450 and 510 nm resulting in aq sol ns which are more reddish and less green than those of riboflavine. The appearance of a strong greenish fluorescence indicates decomposition and loss of catalytic activity. 

D. W. Mackowski, Calculation of Total Cross Sections of Multiple-Sphere Clusters, Journal of Optical Society of America A, 11, pp. 2851-2861,1994. 

The dynamic shape factor for flow in the continuum regime is equal to 1.08 for a cube, 1.12 for a 2-sphere cluster, 1.15 for a compact 3-sphere cluster, and 1.17 for a... 

Mackowski DW Calculation of total cross sections of multiple-sphere clusters, Opt Soc Am A 11(11) 2851-2861, 1994. 

D. W. Mackowski, Electrostatics analysis of radiative absorption by sphere clusters in the Rayleigh... 

Figure 5.22 The catena-(tris(p -iiaphthalene-l,4-clicarboxylatofp -oxo)-tetra-zinc heptakis(N,N-dicthylformamidc) trihydratc dathratc) a non-intcrpcnctratcd pen net 40]. Several, but not all, of the bridging units exploited by Yaghi s group are shown to the left, bottom. A zinc (plain white spheres) cluster and the naphtalenecarboxylates are shown to the right.

Tensor Surface Harmonic theory Cluster atoms are constrained to lie on the surface of a single sphere cluster molecular orbitals are thus derived from a spherical potential model. 24 28... 

The Fortran code SCSMTM for computing the T-matrix of a sphere cluster and the orientation-averaged scattering matrix and optical cross-... 

Figure C2.3.6. Illustration of micelle stmcture obtained by Monte Carlo simulations of model octanoate amphiphiles. There are 30 molecules simulated in this cluster. The shaded spheres represent headgroups. Reproduced by pennission from figure 2 of [35].

In dissimilarity-based compound selection the required subset of molecules is identified directly, using an appropriate measure of dissimilarity (often taken to be the complement of the similarity). This contrasts with the two-stage procedure in cluster analysis, where it is first necessary to group together the molecules and then decide which to select. Most methods for dissimilarity-based selection fall into one of two categories maximum dissimilarity algorithms and sphere exclusion algorithms [Snarey et al. 1997]. 

The composition, properties, and size of soot particles collected from flame products vary considerably with flame conditions and growth time. Typically the C—H atomic ratio ranges from two to five and the particles consist of kregular chains or clusters of tiny spheres 10—40 nm in diameter with overall dimensions of perhaps 200 nm, although some may agglomerate further to much larger sizes. 

In [220] it was shown, for spheres with a radius tending to zero, that there must be a critical value of Bcr = 4 3 " 1ma3N in the system which is conductive to an infinite cluster of bonded sites (here a is site spacing N is volumetric concentration). 

Thus, in the three-layer model, with the intermediate layer having variable physical properties (and perhaps also chemical), subscripts f, i, m and c denote quantities corresponding to the filler, mesophase, matrix and composite respectively. It is easy to establish for the representative volume element (RVE) of a particulate composite, consisting of a cluster of three concentric spheres, that the following relations hold ... 

Fig. 4. Representation of the ligand sphere of the [2Fe-2S] cluster of the Rieske protein from spinach and the attribution of g-tensor to moleculEir axes as discussed in the text. Ser 130 has been observed to influence the redox potentiEd of the cluster via hydrogen interactions with the acid-labile bridging sulfur.

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