Interatomic Potentials for Al and Ni From Experimental Data and AB Initio Calculations

1998 ◽  
Vol 538 ◽  
Author(s):  
Y. Mishin ◽  
D. Farkas ◽  
M. J. Mehl ◽  
D. A. Papaconstantopoulos
Keyword(s):  
Experimental Data ◽  
Ab Initio ◽  
Phonon Dispersion ◽  
Tight Binding ◽  
Interatomic Potentials ◽  
Alternative Structures ◽  
Embedded Atom ◽  
Local Environments ◽  
Basic Equilibrium ◽  
And Migration

AbstractNew embedded-atom potentials for Al and Ni have been developed by fitting to both experimental data and the results of ab initio calculations. The ab initio data were obtained in the form of energies of different alternative computer-generated crystalline structures of these metals. The potentials accurately reproduce basic equilibrium properties of Al and Ni such as the elastic constants, phonon dispersion curves, vacancy formation and migration energies, stacking fault energies, and surface energies. The equilibrium energies of various alternative structures not included in the fitting database are calculated with these potentials. The results are compared with predictions of total-energy tight-binding calculations for the same structures. The embedded-atom potentials correctly reproduce the structural stability trends, which suggests that they are transferable to different local environments encountered in atomistic simulations of lattice defects.

Lattice Trapping of Cracks in Fe Using an Interatomic Potential Derived from Experimental Data and Ab Initio Calculations

2000 ◽  
Vol 653 ◽  
Author(s):  
D. Farkas ◽  
M. J. Mehl ◽  
D. A. Papaconstantopoulos
Keyword(s):  
Experimental Data ◽  
Interatomic Potential ◽  
Interatomic Potentials ◽  
Coordination Numbers ◽  
Embedded Atom ◽  
Recent Approach ◽  
Basic Equilibrium ◽  
Stability Of Structures ◽  
Formation Energies ◽  
Trapping Effects

AbstractA recent approach which combines first-principles and experimental data to produce highly accurate and reliable interatomic potentials is tested for the case of bcc and fcc Fe. The Embedded-Atom-like potential accurately reproduces the basic equilibrium properties of bcc Fe, including elastic constants, phonon properties, and vacancy formation energies, as well as the correct relative stability of structures with coordination numbers ranging from 12 to 4. This potential was used in a simulation study of lattice trapping effects during the cleavage fracture of bcc Fe. A strong directional anisotropy for crack propagation was observed due to lattice trapping effects. The strongest trapping effects were observed for cleavage along the {110} planes and it was found that lattice trapping strongly favors cleavage along the {100} planes.

Tight-Binding Molecular Dynamics Study of Liquid and Amorphous Carbon

1992 ◽  
Vol 291 ◽  
Author(s):  
C. Z. Wang ◽  
K. M. Ho ◽  
C. T. Chan
Keyword(s):  
Experimental Data ◽  
Molecular Dynamics ◽  
Ab Initio ◽  
Molecular Dynamics Simulations ◽  
Amorphous Carbon ◽  
Simulation Study ◽  
Tight Binding ◽  
Sufficient Accuracy ◽  
Complex Carbon ◽  
Dynamics Simulations

ABSTRACTTight-binding molecular-dynamics simulations are performed to study the structure of liquid and amorphous carbon. Comparisons of our results with ab initiomolecular dynamics (Car-Parrinello) results and experimental data show that the scheme has sufficient accuracy and efficiency for realistic simulation study of the structural properties of complex carbon systems.

Tight-Binding Theory and Computational Materials Synthesis

MRS Bulletin ◽  
1996 ◽  
Vol 21 (2) ◽  
pp. 42-48 ◽  
Author(s):  
A.P. Sutton ◽  
P.D. Godwin ◽  
A.P. Horsfield
Keyword(s):  
Ab Initio ◽  
Density Functional ◽  
Tight Binding ◽  
Materials Synthesis ◽  
Tight Binding Approximation ◽  
Embedded Atom ◽  
Empirical Potentials ◽  
Ionic Systems ◽  
Atomic Interactions ◽  
Computational Materials

At the heart of any atomistic simulation is a description of the atomic interactions. A whole hierarchy of models of atomic interactions has been developed over the last twenty years or so, ranging from ab initio density-functional techniques, to simple empirical potentials such as the embedded-atom method and Finnis-Sinclair potentials in metals, valence force fields in covalently bonded materials, and the somewhat older shell model in ionic systems. Between the ab initio formulations and empirical potentials lies the tight-binding approximation: It involves the solution of equations that take into account the electronic structure of the system, but at a small fraction of the cost of an ab initio simulation, because those equations contain simplifying approximations and parameters that are usually fitted empirically.Tight binding may be characterized as the simplest formulation of atomic interactions that incorporates the quantum-mechanical nature of bonding. The particular features that it captures are as follows: (1) the strength of a bond being dependent not only on the interatomic separation but also on the angles it forms with respect to other bonds, which arises fundamentally from the spatially directed characters of p and d atomic orbitals, (2) the filling of bonding (and possibly antibonding) states with electrons, which controls the bond strengths, and (3) changes in the energy distribution of bonding and antibonding states as a result of atomic displacements. These features enable one to obtain considerable improvements in accuracy compared to the simple “glue models” of bonding since use is made of the physics and chemistry of bonding.

The application of the analytic embedded atom method to bcc metals and alloys

1992 ◽  
Vol 7 (3) ◽  
pp. 639-652 ◽  
Author(s):  
A.M. Guellil ◽  
J.B. Adams
Keyword(s):  
Thermal Expansion ◽  
Predictive Power ◽  
Phonon Dispersion ◽  
Embedded Atom Method ◽  
Phonon Dispersion Curves ◽  
Fcc Metals ◽  
Surface Energies ◽  
Bcc Metals ◽  
Embedded Atom ◽  
And Migration

Johnson and Oh have recently developed Embedded Atom Method potentials for bcc metals (Na, Li, K, V, Nb, Ta, Mo, W, Fe). The predictive power of these potentials was first tested by calculating vacancy formation and migration energies. Due to the results of these calculations, some of the functions were slightly modified to improve their fit to vacancy properties. The modified potentials were then used to calculate phonon dispersion curves, surface relaxations, surface energies, and thermal expansion. In addition, Johnson's alloy model, which works well for fcc metals, was applied to the bcc metals to predict dilute heats of solution.

Calculation of Phonon Dispersion for 3d Transition Metals Cr and Fe by Modified Analytic Embedded Atom Method

2011 ◽  
Vol 411 ◽  
pp. 532-536
Author(s):  
You Xie ◽  
Jian Min Zhang
Keyword(s):  
Experimental Data ◽  
Transition Metals ◽  
Phonon Frequency ◽  
Phonon Dispersion ◽  
Phonon Dispersion Curve ◽  
Embedded Atom Method ◽  
Body Centered Cubic ◽  
Phonon Dispersion Curves ◽  
Embedded Atom ◽  
Good Agreement

The modified analytical embedded atom method is applied to calculate the phonon dispersion of body-centered cubic 3d transition metals Cr and Fe along five symmetry directions [q 0 0], [1 q q], [q q q], [q q 0] and [1/2 1/2 q]. Our results of phonon dispersion curves are in good agreement with the available experimental data. For the two transition metals Cr and Fe, along the same direction, a similar phonon dispersion curve is obtained in spite of the phonon frequency decreases for Cr and Fe due to the atom mass increases. There are no experimental results for comparison along the directions [1 q q] and [1/2 1/2 q], further experimental measurement are needed.

scholarly journals THE METHOD OF INCREMENTS — A WAVEFUNCTION-BASED AB-INITIO CORRELATION METHOD FOR SOLIDS

2007 ◽  
Vol 21 (13n14) ◽  
pp. 2204-2214 ◽  
Author(s):  
BEATE PAULUS
Keyword(s):  
Experimental Data ◽  
Ab Initio ◽  
Ground State ◽  
Infinite System ◽  
Correlation Energy ◽  
Correlation Method ◽  
Many Body ◽  
Hartree Fock ◽  
The Many ◽  
Good Agreement

The method of increments is a wavefunction-based ab initio correlation method for solids, which explicitly calculates the many-body wavefunction of the system. After a Hartree-Fock treatment of the infinite system the correlation energy of the solid is expanded in terms of localised orbitals or of a group of localised orbitals. The method of increments has been applied to a great variety of materials with a band gap, but in this paper the extension to metals is described. The application to solid mercury is presented, where we achieve very good agreement of the calculated ground-state properties with the experimental data.

Ab initio calculation of formation and migration volumes for vacancies in Li and Na

1997 ◽  
Vol 55 (9) ◽  
pp. 5772-5777 ◽  
Author(s):  
U. Breier ◽  
V. Schott ◽  
M. Fähnle
Keyword(s):  
Ab Initio ◽  
Ab Initio Calculation ◽  
And Migration

Structure and Elastic Properties of Ni/Cu and Ni/Au Multilayers

1992 ◽  
Vol 291 ◽  
Author(s):  
Ademola Taiwo ◽  
Hong Yan ◽  
Gretchen Kalonji
Keyword(s):  
Phase Transformation ◽  
Elastic Properties ◽  
Embedded Atom Method ◽  
Interatomic Potentials ◽  
Multilayer Systems ◽  
Lattice Statics ◽  
Embedded Atom ◽  
Hcp Structure ◽  
Fcc Structure ◽  
Coherent Interfaces

ABSTRACTThe structure and elastic properties of Ni/Cu and Ni/Au multilayer systems are investigated as a function of the number of Ni monolayers built into the systems. We employed lattice statics simulations with the interatomic potentials described by the embedded-atom method. For the Ni/Cu systems, coherent interfaces and FCC structure are maintained, and no elastic anomaly is found. For the Ni/Au systems, when the Ni layers are thick enough, they undergo a strain-induced phase transformation from FCC to HCP structure. An enhancement of Young’s modulus of these systems is found to be associated with this structural change.

Sign in / Sign up

Export Citation Format

Share Document