Fractal cluster nucleation

Figure 6.10. STM images of Ge deposition on HOPG at RT. (a) Clusters nucleated on both sides of a step after 0.9-nm Ge deposition (b) double-layer cluster chains formed after 2.1-nm Ge deposition (c) fractal islands grow along undersurface steps on wide terrace and (d) a zoom-in scan on the double-layer fractals in (c). Image area (a) (0.3 om) (b) (0.6 im) (c) (2.5 am) (d) (0.8 om). ...

Fig. 7. Schematic illustration of the model for nucleation of silicalite from clear synthesis mixtures a TPA-silicate clusters in solution, b primary fractal aggregates formed from the TPA-silicate clusters, c densification of the fractd aggregates from b above, d combination of densified aggregates into a second fractal aggregate structure, and e densification of the second fractal aggregates followed by crystal growth. Figure redrawn with permission from [58]...

Figure 7.14. The fractal dimension of a DLA cluster can be determined by plotting the cumulative total of the number of times the cluster intersects a series of concentric circles drawn about its nucleating centre against the radius of the circle, a) The largest cluster of Figure 7.13(b) with concentric circles, b) Log-log plot of the cumulative number of intersections against the radius of the circle in subunit diameters. The fractal dimension is equal to the slope of the best-fit line to the data.

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