Crystallization kinetics driven by two simultaneous modes of crystal growth
In this work, we analyse the growth of nuclei precipitating from a supersaturated liquid. Two simultaneous habits of crystal growth are considered: interface-controlled three-dimensional growth with a growth rate u up to a threshold radio Rc and then diffusion-controlled growth when steady growth is...
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2000
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13642812_v80_n10_p1833_Fontana http://hdl.handle.net/20.500.12110/paper_13642812_v80_n10_p1833_Fontana |
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paper:paper_13642812_v80_n10_p1833_Fontana2023-06-08T16:11:38Z Crystallization kinetics driven by two simultaneous modes of crystal growth In this work, we analyse the growth of nuclei precipitating from a supersaturated liquid. Two simultaneous habits of crystal growth are considered: interface-controlled three-dimensional growth with a growth rate u up to a threshold radio Rc and then diffusion-controlled growth when steady growth is achieved at the initial stages owing to the large supersaturation in between the nucleus and the liquid neighbourhood. The threshold radio Rc determines the growth habit of each grain. For isothermal processes, we discover that the temporal dependence of the crystalline fraction follows scaling laws. Two parameters summarize the master curves: firstly, a dimensionless magnitude named P, where P = (π/3)IDeff4/u5, where Deff is the effective diffusion coefficient and I the nucleation frequency; secondly, the time tc needed by the first created embryo to reach the threshold radio Rc. At tc the growth switches from one mechanism to the other. These two quantities are also scaling factors for the temporal evolution of the density of grains and the mean grain size. We discuss the applicability of the model to real systems. 2000 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13642812_v80_n10_p1833_Fontana http://hdl.handle.net/20.500.12110/paper_13642812_v80_n10_p1833_Fontana |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
In this work, we analyse the growth of nuclei precipitating from a supersaturated liquid. Two simultaneous habits of crystal growth are considered: interface-controlled three-dimensional growth with a growth rate u up to a threshold radio Rc and then diffusion-controlled growth when steady growth is achieved at the initial stages owing to the large supersaturation in between the nucleus and the liquid neighbourhood. The threshold radio Rc determines the growth habit of each grain. For isothermal processes, we discover that the temporal dependence of the crystalline fraction follows scaling laws. Two parameters summarize the master curves: firstly, a dimensionless magnitude named P, where P = (π/3)IDeff4/u5, where Deff is the effective diffusion coefficient and I the nucleation frequency; secondly, the time tc needed by the first created embryo to reach the threshold radio Rc. At tc the growth switches from one mechanism to the other. These two quantities are also scaling factors for the temporal evolution of the density of grains and the mean grain size. We discuss the applicability of the model to real systems. |
| title |
Crystallization kinetics driven by two simultaneous modes of crystal growth |
| spellingShingle |
Crystallization kinetics driven by two simultaneous modes of crystal growth |
| title_short |
Crystallization kinetics driven by two simultaneous modes of crystal growth |
| title_full |
Crystallization kinetics driven by two simultaneous modes of crystal growth |
| title_fullStr |
Crystallization kinetics driven by two simultaneous modes of crystal growth |
| title_full_unstemmed |
Crystallization kinetics driven by two simultaneous modes of crystal growth |
| title_sort |
crystallization kinetics driven by two simultaneous modes of crystal growth |
| publishDate |
2000 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13642812_v80_n10_p1833_Fontana http://hdl.handle.net/20.500.12110/paper_13642812_v80_n10_p1833_Fontana |
| _version_ |
1768541624642568192 |