Nb

EAM Potential: Ni.lammps.eam

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Properties Predicted by EAM

Ref. 2.1     Y. Mishin, D. Farkas, M.J. Mehl, and D.A. Papaconstantopolous, Interatomic Potentials for Monoatomic Metals from Experimental Data and ab initio calculations, Phys. Rev. B 59, 3393 (1999) 

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    G. Simons and H. Wang, Single Crystal Elastic Constants and Calculated Aggregate Properties (MIT Press, Cambridge, MA, 1977)

Ref. 2.4    http://www.webelements.com/nickel/physics.html

Ref. 2.5   R. J. Birgenau, J. Cordes, G. Dolling, and A. D. B. Woods, "Normal Modes of vibration of Nickel", Phys. Rev. 136 A1359 (1964).

Ref.  2.6    Ab initio calculation in the present work. (spin unpolarized).

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.

Ref. 3.2    J.W. Edwards, R. Speiser and H. L. Johnston, High Temperature Structure and Thermal Expansion of Some Metals as Determined

by X-Ray Diffraction Data. I. Platinum, Tantalum, Niobium, and Molybdenum, J. Appl. Phys. 22, 424 (1951)

            

     Thermal expansion coefficient based on quasiharmonic approximation

    

    Elastic Constants

    

Ref. 4.1     G. Simons and H. Wang, Single Crystal Elastic Constants and Calculated Aggregate Properties (MIT Press, Cambridge, MA, 1977)

    

    Phonon Dispersion Curves

        

    

    

Ref. 5.1     PWSCF calculation. Ultrasoft pseudopotential (Ni.pbe-nd-rrkjus.UPF) has been used, with a kinetic energy cutoff ecutwfc = 27.0 Ry. Kpoint selection: 11x11x11.

Ref. 5.2     R. J. Birgenau, J. Cordes, G. Dolling, and A. D. B. Woods, "Normal Modes of vibration of Nickel", Phys. Rev. 136 A1359 (1964)

Ref. 5.3     Y. Mishin, D. Farkas, M.J. Mehl, and D.A. Papaconstantopoulos, "Interatomic potentials for monoatomic metals from experimental data and ab initio calculations," Phys. Rev. B 59, 3393 (1999)

Crystal Structures

    

        

Generalized Stacking Fault Energy

    Stacking fault along [101] and [121] directions

    

            

    Nickel 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, Ni)

        

        

    Comparison of ab intio and EAM calculations along the Bain path

        

Surface Relaxation 

Liquid Structure

    Liquid density: EAM vs. experiment

    

Ref. 8.1    http://en.wikipedia.org/wiki/Niobium

Ref. 8.2    P.F. Paradis and S. Yoda, Non-contact measurements of thermophysical properties of niobium at high temperature,

Journal of Materials Science, 36, 5125 (2001)

    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 relation

    

   

Ref. 9.1    P. Protopapas, H.C. Andersen, and N.A.D. Parlee, Theory of transport in liquid metals. I. Calculation of self-diffusion coefficients, J. Chem. Phys. 59, 15 (1973)

Ref. 9.2    F.J. Cherne, M.I. Baskes, P.A. Deymier, Properties of liquid nickel: A critical comparison of EAM and MEAM calculations, Phys. Rev. B 65, 024209 (2002)

Ref. 9.3    S. M. Chathoth, A. Meyer, M.M. Koza, and F. Juranyi, Atomic diffusion in liquid Ni, NiP, PdNiP, and PdNiCuP alloys, Appl. Phys. Lett. 85, 4881 (2004)   

    Diffusivity based on the Green-Kubo relation

    

        

   

     van Hove self-correlation functions at different temperatures

    Intermediate scattering functions F(q,t)  and dynamic structure factors S(q,w)