homogeneous nucleation

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ho·mo·ge·ne·ous nu·cle·a·tion

nucleation about a nidus composed of material identical with that precipitating.
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According to the classical nucleation theory, the free energy of homogeneous nucleation is can be expressed as [DELTA][G.sup.*.sub.hom] = 16[pi][gamma]/3([DELTA][P.sup.2]), and the free energy of heterogeneous nucleation is can be expressed as [DELTA][G.sup.*.sub.het] = 16[pi][gamma]/3([DELTA][P.sup.2])f ([theta][omega].
Garrick, "Large eddy simulation and direct numerical simulation of homogeneous nucleation in turbulent wakes," Journal of Aerosol Science, vol.
Freezing nucleation can be divided into homogeneous nucleation and heterogeneous nucleation.
Homogeneous nucleation of the precipitate form results in a fine circulation of the secondary form (Fig.
In situ ice formation takes place via homogeneous nucleation of aqueous aerosol (Karcher and Lohmann 2002) or by heterogeneous nucleation (DeMott et al.
(26) In conventional emulsion polymerization, micellar nucleation or homogeneous nucleation is the main nucleation style.
These photographs clearly indicate the role of the stereocomplex as a nucleating agent, and the crystallization of a pure PLLA was initiated in instantaneous homogeneous nucleation.
Note that, under homogeneous nucleation with [lambda](x) [equivalent to] [lambda], we have [V.sub.V](t, x) = 1 - exp{-[lambda][v.sup.d](A)}, so that only the volume of the set A(x, t) has to be evaluated; explicitly, for practical purposes in the 3D case A = {([y.sub.1], [y.sub.2], [y.sub.3]) [member of] [R.sup.3] : f(y)t [greater than or equal to] [square root of [([y.sub.1] - [x.sub.1]).sup.2] + [([y.sub.2] - [x.sub.2]).sup.2] + [([y.sub.3] - [x.sub.3]).sup.2]]}.
They consider such aspects as the kinetics and thermodynamics of fluctuation-induced transitions in multistable systems, confocal depolarized dynamic light scattering, the role of metastable intermediate states in the homogeneous nucleation of solids from solution, geometric constraints in the self-assembly of mineral dendrites and platelets, and the ability of silica to induce a biomimetic crystallization of calcium carbonate.