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Theory for growth of needle-shaped particles in multicomponent systems

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Article number209
<mark>Journal publication date</mark>2002
<mark>Journal</mark>Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science
Issue number4
Number of pages7
Pages (from-to)1075-1081
Publication StatusPublished
<mark>Original language</mark>English


A solution is presented for the growth of needle-shaped particles (paraboloids of revolution) in multicomponent systems that obey Henry's law. Interface kinetics and capillarity effects are incorporated, and it is demonstrated that the maximum velocity hypothesis cannot be sustained if it is assumed that there is local equilibrium at the interface. The particle is unable to grow with equilibrium for small supersaturations when capillarity effects are prominent and for large supersaturations when the interface kinetics effect is large. A method to obtain the lengthening rate and tip radius is provided.