Normalized cluster number

Figure 3.13 Simulated normalised cluster numbers for a 100 x 100 square lattice. The evolution, with the mean occupation probability p, of the normalized cluster numbers of single and multi-clusters as well as the evolution of the total cluster density are plotted. The simulation of n, follows the analytical expression n, = p(l — p)4.

Hollox EJ, Armour JA, Barber JC. Extensive normal copy number variation of a beta-defensin antimicrobial-gene cluster. Am J Hum Genet 2003 73(3) 591-600. 

As for the WCA system, the fraction of sixfold-ordered particles in DRPs (0.547 0.004) is significantly less than the fraction of six-coordinated particles (/g = 0.7861 0.0018), confirming that the sixfold bond orientational order parameter is a more sensitive indicator of local geometrical disorder than is the coordination number. The average size of ordered clusters in DRPs is (s) = 30.4 0.8, and the normalized average number of ordered clusters is Ac/N = 0.0180 0.0005. These values are comparable to those measured in the dense WCA liquid near freezing (see Figs. 52 and 53). 

Tetracarbonylcobaltate(l —) forms ionic complexes with group 1 elements. However, compounds of the type M[Co(CO)4] , where 2 and M = zinc, cadmium, mercury, indium, etc., are covalent, possessing M —Co bonds in which the main group metal has normal coordination number. These compounds are monomeric in the solid state. Ag[Co(CO)4] and Cu[Co(CO)4] are tetrameric clusters in which the metal atoms form planar, eight-membered rings. Each of the distorted [Co(CO)4] tetrahedrons is bonded to two atoms of silver or copper. 

The average number n, of s-clusters (normalized as number per f-fiinctional monomer) defines at the gel point the critical exponent r and the critical ampUtude qo by... 

We now explain why we used only question marks into Table 1 for the critical exponent k of the sol viscosity, (Pc — p) if not stated otherwise, our discussion refers to three dimensions. (For polydisperse samples near the gel point, the concept of the ratio of the intrinsic viscosities of a branched and a linear polymer is somewhat impractical for the calculation of the viscosity exponent k. We express the viscosity contribution of each cluster size in terms of cluster radius R, cluster mass s, and cluster number Uj (normalized as number per monomer). Note that n s is the fraction of mass contained in... 

As mentioned before, the stripe pattern deteriorates slowly with increasing number of Cu layers, but it remains visible for a long time. Eventually Cu clusters emerge with normal fee structure. In Fig. 24 an STM image of Au(100) is shown, the surface of which is covered by a nominally thick Cu overlayer. On top of the wavy Cu phase, clusters with regular bulk structure have been formed. A similar situation is depicted in Fig. 25 for Cu on Ag(100), where a large Cu crystallite with a flat... 

In diamond, Sahoo et al. (1983) investigated the hyperfine interaction using an unrestricted Hartree-Fock cluster method. The spin density of the muon was calculated as a function of its position in a potential well around the T site. Their value was within 10% of the experimental number. However, the energy profiles and spin densities calculated in this study were later shown to be cluster-size dependent (Estreicher et al., 1985). Estreicher et al., in their Hartree-Fock approach to the study of normal muonium in diamond (1986) and in Si (1987), found an enhancement of the spin density at the impurity over its vacuum value, in contradiction with experiment this overestimation was attributed to the neglect of correlation in the HF method. 

The normal distribution describes the way measurement results are commonly distributed. This type of distribution of data is also known as a Gaussian distribution. Most measurement results, when repeated a number of times, will follow a normal distribution. In a normal distribution, most of the results are clustered around a central value with fewer results at a greater distance from the centre. The distribution has an infinite range, so values may turn up at great distances from the centre of the distribution although the probability of this occurring is very small. 

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