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Kinetic coefficient for hard-sphere crystal growth from the melt
1Department of Physics, University of Kansas, Lawrence, Kansas 66045, USA.
Physical Review Letters
|December 13, 2006
Summary
We calculated the kinetic coefficient for crystal growth in hard-sphere systems. Results show anisotropy, with different values for different crystal faces, offering insights into fcc metal crystal growth estimations.
Area of Science:
- Materials Science
- Computational Physics
- Crystallography
Background:
- Understanding crystal growth kinetics is crucial for materials engineering.
- The kinetic coefficient (mu) quantifies the rate of crystal growth from a melt.
- Anisotropy in crystal growth affects material properties.
Purpose of the Study:
- To determine the magnitude and anisotropy of the kinetic coefficient for hard-sphere crystal growth.
- To analyze equilibrium capillary fluctuations in interfacial height.
- To compare simulation results with experimental data for fcc metals.
Main Methods:
- Molecular-dynamics simulation was employed to model the hard-sphere system.
- Analysis of equilibrium capillary fluctuations in interfacial height was performed.
- Kinetic coefficients were calculated for specific crystallographic orientations (100, 110, 111).
Main Results:
- The kinetic coefficients were found to be anisotropic: mu100 = 1.44(7), mu110 = 1.10(5), and mu111 = 0.64(3) in units of sqrt(kB/(mTm)).
- These values are consistent with simulation results for various fcc metals when expressed in hard-sphere units.
- A method for estimating the kinetic coefficient for fcc metals based on hard-sphere units was proposed.
Conclusions:
- The kinetic coefficient for hard-sphere crystal growth exhibits significant anisotropy.
- The hard-sphere model provides a useful framework for understanding and estimating kinetic coefficients in fcc metals.
- Further research can refine the estimation of kinetic coefficients for specific materials and orientations.
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