Pb
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1
Properties Predicted by EAM
Ref. 2.1 http://www.webelements.com/lead/crystal_structure.html
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. 2.3 R. Stedman, L. Almqvist, G. Nilsson, and G. Raunio, Dispersion Relations for Phonons in Lead at 80 and 300°K, Phys Rev. 162, 545 (1967)
Ref. 2.5 http://en.wikipedia.org/wiki/Lead
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.
Thermal expansion coefficient based on quasiharmonic approximation
Elastic Constants
Ref. 3.2 G. Simons and H. Wang, Single Crystal Elastic Constants and Calculated Aggregate Properties (MIT Press, Cambridge, MA, 1977)
Pressure-volume equation of state
Ref. 3.3 R. G. McQueen and S.P. Marsh, Equation of State for Nineteen Metallic Elements from Shock‐Wave Measurements to Two Megabars, J. Appl. Phys. 31, 1253 (1960)
Phonon Dispersion Curves
Ref. 3.3 PWSCF calculation. Ultrasoft pseudopotential Pb.pz-d-van.UPF has been used, with a kinetic energy cutoff ecutwfc = 30.0 Ry. Kpoint selection: 11x11x11. Energy minimization of fcc Pb yields the equilibrium lattice parameter of a = 4.800 Å.
Ref. 3.4 R. Stedman, L. Almqvist, G. Nilsson, and G. Raunio, Dispersion Relations for Phonons in Lead at 80 and 300°K, Phys Rev. 162, 545 (1967)
Crystal Structures
Generalized Stacking Fault Energy
Stacking fault along [101] and [121] directions
Lead gamma surface calculated with the EAM potential
Comparison of ab initio and EAM calculations of SF energies (F.C.C. Pb, a = 4.8905 Å)
Deformation Path
The Bain path
fcc: c/a = 1.0
bcc: c/a = 0.707
Engergy contours along the Bain deformation path (EAM calculations, Lead)
Comparison of ab intio and EAM calculations along the Bain path
Surface Relaxation
Liquid Structure
Liquid density: EAM vs. experiment
Ref. 8.1 L.W. Wang, Q. Wang, A.P. Xian and K.Q. Lu, Precise measurement of the densities of liquid Bi, Sn, Pb and Sb, J. Phys.: Condens. Matter 15 777 (2003) (10.635 g/cm3)
Ref. 8.2 http://en.wikipedia.org/wiki/Lead (liquid density at M.P. 10.66 g/cm3)
Pair correlation functions
Structure factors
Comparison of experimental structure factors and EAM calculations
Ref. 8.1. Y. Waseda, The Structure of Non-Crystalline Materials (McGraw-Hill, New York, 1980).
Liquid Dynamics
Diffusivity based on the Einstein relation