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The large fractal dimensions of the clusters generated by very small nanoparticles could be explained by thermal restructuring due to their low bonding energies, but no clear explanation can be given for the small fractal dimensions of the clusters made of large particles.
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For a galaxy possessing this random velocity along a typical line of sight to be gravitationally bound within the known dimensions of the cluster requires Coma to have a total mass of about 5 × 1015 solar masses.
Hence, metal clusters do not conduct electricity like bulk metals; if they are subjected to rapidly oscillating electric fields, such as those of visible, infrared, or microwave radiation, their "free" electrons are driven first one way and then back in the opposite direction over distances smaller than the dimensions of the cluster (see below Physical properties).
However, there remains the possibility that the overall structure of the cluster solution is nevertheless distributed in terms of the acoustic features along dimensions of the cluster space.
Significant clusters in time, space, and frequency are identified on the basis of proximity (neighbors) in all dimensions of the cluster.
The protocol for preliminary investigation (Fig. 2) emphasises exploring the temporal, spatial and diagnostic dimensions of the cluster, rather than taking too arbitrary an approach to its boundaries.
The mathematical model confirmed the experimental findings whereby the fractal dimension of the clusters is size dependent, that is, larger systems are more discontinuous than smaller.
The input of the subtractive clustering algorithm is set as. From (18), it is seen that the wider the range of values that can take, the smaller is the dimension of the clusters (the same analogy applies dimension, as well).
The dimension of the clusters in the direction of red arrow shows the significance of the illuminant dependency and the dimension perpendicular to that of the red arrow shows the significance of the noise.
One of the major reasons for interest in alloy nanoparticles is the fact that their chemical and physical properties may be tuned by varying the composition and atomic ordering as well as the dimension of the clusters [4, 5].
Even though the clusters are of irregular shapes, the TEM data shows that overall dimensions of these clusters became bigger as the concentration of Fe3O4 in suspension during the preparation became higher.
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