A theory of dendritic growth in electrolytes
β Scribed by D.R. Hamilton
- Publisher
- Elsevier Science
- Year
- 1963
- Tongue
- English
- Weight
- 458 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0013-4686
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β¦ Synopsis
A treatment is given relating the growth velocity, tip radius and overpotential for an electrolytic dendrite, taken to be a moving paraboloid of revolution. The equation is fitted to the recent data of Barton and Bockris on silver dendrites growing in NaNOa-KNO~ eutectic. To achieve a fit, the activation potential, and a reversible interfacial potential related to surface energy were taken to be lower than expected from macroscopic data. This implies that diffusion predominated in the control of growth. Some comparisons are made between the behaviour of these dendrites and melt grown germanium dendrites containing twins. If all the planar silver dendrites contained twin planes, agreement may be found with the reported growth behaviour.
π SIMILAR VOLUMES
Existence and nonexistence of solutions (both stationary and evolution) for a parabolic-elliptic system describing the electrodiffusion of ions are studied. The answers to some questions concerning a generalization of a problem posed by I. Rubinstein are given.
## We present a linear stability analysis of the Ivantsov needle crystal in the limit of zero capillarity and vanishingly small P&let number. If we make a quasi-stattonary approximation for the diffusion field. the stability eigenvalue problem turns out to be exact.ly solvable. The result is that t