Cu
EAM Potential: Cu.lammps.eam
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1, 2
Properties Predicted by EAM
Ref. 2.1 http://www.webelements.com/copper
Ref. 2.2 Y. Mishin, M. J. Mehl, D. A. Papaconstantopoulos, A. F. Voter and J. D. Kress, Structural stability and lattice defects in copper: Ab initio, tight-binding, and embedded-atom calculations, Phys. Rev. B 63, 224106 (2001)
Ref. 2.3 G. Simons and H. Wang, Single Crystal Elastic Constants and Calculated Aggregate Properties (MIT Press, Cambridge, MA, 1977)Ref. 2.2 B.J. Lee, J.H. Shim and M.I. Baskes, Semiempirical atomic potentials for the fcc metals Cu, Ag, Au, Ni, Pd, Pt, Al, and Pb based on first and second nearest-neighbor modified embedded atom method, Phys. Rev. B 68, 144112 (2003)
Ref. 2.4 http://www.webelements.com/copper/physics.html
Ref. 2.5 G. Nilsson and S. Rolandson, "Lattice Dynamics of Copper at 80 K", Phys. Rev. B 7, 2393 (1973).
Ref. 2.6 MD simulation of two-phase equilibrium.
Lattice Dynamics
Lattice constant as a function of temperature
Ref. 3.1. Y.S. Touloukian, R.K. Kirby, R.E. Taylor, P.D. Desai, Thermal Expansion, Metallic Elements and Alloys, Plenum Press, New York, 1975.
Ref. 3.2. F.R. Kroeger, J. Appl. Phys. 48, 853 (1977)
Thermal expansion coefficient based on quasiharmonic approximation
Elastic Constants
Phonon Dispersion Curves
[a]. PWSCF calculation. Ultrasoft pseudopotential Cu.pz-d-rrkjus.UPF has been used, with a kinetic energy cutoff
ecutwfc = 25.0 Ry. Kpoint selection: 11x11x11.
[b]. G. Nilsson and S. Rolandson, "Lattice Dynamics of Copper at 80 K", Phys. Rev. B 7, 2393 (1973).
Crystal Structures
Generalized Stacking Fault Energy
Stacking fault along [101] and [121] directions
Copper gamma surface evaluated with the EAM potential
Comparison of ab initio and EAM calculations of SF energies
Deformation Path
The Bain path
fcc: c/a = 1.0
bcc: c/a = 0.707
Engergy contours along the Bain path (EAM calculations)
Comparison of ab intio and EAM calculations along the Bain path
Surface Relaxation
Liquid Structure
Liquid density: EAM vs. experiment
Ref. 8.1. J. Brillo and I. Egry, Density Determination of Liquid Copper, Nickel, and Their Alloys, Int. J. Thermo. 24, 1155 (2003)
Pair correlation functions
Structure factors
Comparison of experimental structure factors and EAM calculations
Ref. 8.2. Y. Waseda, The Structure of Non-Crystalline Materials (McGraw-Hill, New York, 1980).
Ref. 8.3. M. M. G. Alemany, O. Diéguez, C. Rey, and L. J. Gallego, Molecular-dynamics study of the dynamic properties of fcc
transition and simple metals in the liquid phase using the second-moment approximation to the tight-binding method, Phys. Rev. B 60, 9208 - 9211 (1999)
Liquid Dynamics
Diffusivity based on the Einstein-Stokes relation
Diffusivity based on the Green-Kubo relation
Ref. 9.1. A.V. Gorshkov, Correlations of the self-diffusion coefficients and viscosity of elemental melts with properties of elements, Inorganic Materials, 2, 218 (2000) Doi: 10.1007/BF02758020
van Hove self-correlation functions at different temperatures
Intermediate scattering functions and dynamic structure factors