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• W4213308860 abstract "• Phase-field mobilities ( L ) of 11 silicates, SiO 2 and GeO 2 liquids were determined. • Parameters of the L are unique for the material properties, e.g. diffusion. • Phase-field simulation with the L predicts quantitatively the crystal growth rates. A simple phase-field model (PFM) was used to calculate phase-field mobility, L , and crystal growth rates in crystallization of 11 oxides or mixed oxides in undercooled silicates, SiO 2 and GeO 2 liquids, and material dependence of the L was discussed to predict the temperature dependence of crystal growth-rates for unmeasured liquids. By comparing the experimental crystal growth rates and the PFM simulation, we determined the parameters, A , and B , of the L = A k B T Δ T 6 π 2 λ 3 η T m B : A = 6.7 × 10 - 6 to 2.6 m 4 J −1 s −1 and B = 0.65 to 1.3, which were unique for the materials. Furthermore, our PFM simulation with the determined L reproduced the experimental crystal growth rates quantitively. In a log–log graph, the A depends on the diffusion coefficient of a cation and have a proportional relationship with the diffusion coefficient of the cation molar mass average per unit an oxygen molar mass at the melting point, T m . The B in a compound is determined by the sum of the cation molar mass divided by the oxygen molar mass, ∑ i M i / M O . The B in ∑ i M i / M O ≤ 25 decreases as the cation molar mass increases. Because the cation molar mass is proportional to the cation transfer’s inertial resistance, the B decreases with the inverse of the cation molar mass. The B saturates at approximately 0.67 during crystallization of heavy cation silicates in ∑ i M i / M O ≥ 25 , resulting in the peak temperature of the crystal growth rate, T p ≈ 0.9 T m ." @default.
• W4213308860 created "2022-02-24" @default.
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• W4213308860 date "2022-05-01" @default.
• W4213308860 modified "2023-10-16" @default.
• W4213308860 title "Phase-field mobility for crystal growth rates in undercooled silicates, SiO2 and GeO2 liquids" @default.
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• W4213308860 doi "https://doi.org/10.1016/j.jcrysgro.2022.126590" @default.
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