Ca
EAM Potential: Ca.lammps.eam
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imd dl_poly xmd gulp plot
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Properties Predicted by EAM
Ref. 2.1 K.M. Andersson, R.L. Johnston, and J.N. Murrell, Empirical Potential-energy Function for Calcium Solids and Clusters, Phys. Rev. B 49, 3089 (1994)
Ref. 2.2 J.E. Hearn, R.L. Johnson, S.L. Leoni and J.N. Murrel, Global Potentials for Calcium and Strontium solids, J. Chem. Soc., Faraday Trans., 92, 425 (1996) (postscript file)
Ref. 2.3 C. Stassis, J. Zaretsky, D.K. Misemer, H.L. Skriver, B.N. Harmon and R.M. Nicklow, Lattice Dynamics of fcc Ca, Phys. Rev. B 27, 3303 (1983)
Ref. 2.4 M. Heiroth, U. Buchenau, H.R. Schober and J. Evers, Lattice Dynamics of fcc and bcc Calcium, Phys. Rev. B 34, 6681 (1986)
Ref. 2.5 M.S. Anderson, C.A. Swenson, and D.T. Peterson, Experimental Equations of State for Calcium, Strontium and Barium Metals to 20 kbar from 4 to 295 K, Phys. Rev. B 41, 3329 (1990)
Ref. 2.6 S.N. Vaidya and G.C. Kennedy, J. Phys. Chem. Solids 31, 2329 (1970)
Ref. 2.7 http://www.webelements.com/calcium/physics.html
Ref. 2.9 H.L. Skriver and N.M. Rosengaard, Surface energy and work function of elemental metals, Phys. Rev B 46, 7157 (1992)
Ref. 2.10 MD simulation of liquid-solid phase equilibrium with an NPH ensemble.
Ref. 2.11 Ab initio calculation in the present work.
Lattice Dynamics
Lattice constants 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.
Elastic Constants
Ref. 4.1 G. Simons and H. Wang, Single Crystal Elastic Constants and Calculated Aggregate Properties (MIT Press, Cambridge, MA, 1977)
Ref. 4.2 The anomalous elastic constant behavior may contribute to the phase complexity of Ca under pressure.
Phonon Dispersion Curves
Ref. 5.1 C. Stassis, J. Zaretsky, D.K. Misemer, H.L. Skriver, B.N. Harmon and R.M. Nicklow, Lattice Dynamics of fcc Ca, Phys. Rev. B 27, 3303 (1983)
Ref. 5.2 PWSCF calculation. Ultrasoft pseudopotential Ca.pw91-nsp-van.UPF has been used, with a kinetic energy cutoff ecutwfc = 50.0 Ry. Kpoint selection: 11x11x11. Energy minimization of fcc Ca yields a lattice parameter of a = 5.525 Å.
Crystal Structures
Generalized Stacking Fault Energy
Stacking fault along [101] and [121] directions
Calcium gamma surface evaluated with the EAM potential
Comparison of ab initio and EAM calculations of stacking fault energies (Ca, a = 5.5884 A )
Deformation Path
The Bain path
fcc: c/a = 1.0
bcc: c/a = 0.707
Engergy contours along the Bain path (EAM calculations, Ca)
Comparison of ab intio and EAM calculations along the Bain path
Surface Relaxation
Liquid Structure
Liquid density: EAM vs. experiment
Ref. 8.1 S. Hiemstra, D. Prins, G. Gabrielse and J. B. Van Zytveld, Densities of liquid metals: calcium, strontium, barium, Physics and Chemistry of Liquids, 6, 271 (1977)
Ref. 8.2 http://en.wikipedia.org/wiki/Calcium
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).
Liquid Dynamics
Diffusivity based on the Einstein 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
Diffusivity based on the Green-Kubo relation