Growth of spheres

Stdber W, Fink A and Bohn E 1968 Controlled growth of monodisperse silioa spheres in the mioron size range J. Colloid Interface Sol. 26 62-9... 

Lonally, the templates were chosen by trial and error or exhaustive enumeration. A itafional method named ZEBEDDE (ZEolites By Evolutionary De novo DEsign) en developed to try to introduce some rationale into the selection of templates et al. 1996 Willock et al. 1997]. The templates are grown within the zeolite by an iterative inside-out approach, starting from a seed molecule. At each jn an action is randomly selected from a list that includes the addition of new (from a library of fragments), random translation or rotation, random bond rota-ing formation or energy minimisation of the template. A cost function based on erlap of van der Waals spheres is used to control the growth of the template ale ... 

Convective diffusion to a growing sphere. In the polarographic method (see Section 5.5) a dropping mercury electrode is most often used. Transport to this electrode has the character of convective diffusion, which, however, does not proceed under steady-state conditions. Convection results from growth of the electrode, producing radial motion of the solution towards the electrode surface. It will be assumed that the thickness of the diffusion layer formed around the spherical surface is much smaller than the radius of the sphere (the drop is approximated as an ideal spherical surface). The spherical surface can then be replaced by a planar surface... 

Stober, W Fink, A. and Bohn, E. (1968) Controlled growth of monodispersed silica spheres in the micron size range. Journal of... 

A scaled-up version of this central template-concentric sphere surface assembly approach has been demonstrated for the growth of multi-layer core-shell nano- and microparticles, based upon the repeated layer-by-layer deposition of linear polymers and silica nanoparticles onto a colloidal particle template (Figure 6.8) [60]. In this case, the regioselective chemistry occurs via electrostatic interactions, as opposed to the covalent bond formation of most of the examples in this chapter. The central colloidal seed particle dictates the final particle... 

The growth of the nuclei then occurs in one, two or three dimensions creating rods (fibrils), discs or spheres (spherulites). The development of crystallinity (Vc) under isothermal conditions with time ( ) is generally analysed according to... 

For reaction-limited growth of a sphere the preceding equation gives... 

Dissolving and Growing Spheres 385 For mass-transfer-limited growth of a sphere in a stagnant fluid the radius varies with time as... 

Growth of bubble by the mass transfer of volatiles from the magma to the bubble in a sphere coordinate is given by (Proussevitch and Sahagian,... 

Zhang G, Schwartz JB, Schnaare RL, Sugita ET, Wigent RJ. Kinetics of sphere growth in marumerization. J China Pharm Univ 1990 21(2) 73-76. 

Figure 5. Stages in growth of two spheres making contact.

The number of spheres appears to be related to the number of actual or potential nuclei present. The growth of the spheres is related to temperature and time and is limited by the amount of material available, as when two or more spheres are competing for this. 

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