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MEAM_LAMMPS_KavousiNovakBaskes_2019_NiTi__MO_050461957184_001

Interatomic potential for Nickel (Ni), Titanium (Ti).
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Title
A single sentence description.
MEAM potential for Ni-Ti alloys developed by Kavousi et al, (2019) v001
Description
A short description of the Model describing its key features including for example: type of model (pair potential, 3-body potential, EAM, etc.), modeled species (Ac, Ag, ..., Zr), intended purpose, origin, and so on.
New interatomic potentials for the Ti, Ni, and the binary Ti-Ni system developed based on the second nearest-neighbor modified embedded-atom method (2NN-MEAM) formalism. These potentials were fit to melting points, latent heats, the binary phase diagrams for the Ti-rich and Ni-rich regions, and the liquid phase enthalpy of mixing for binary alloys. Therefore they are particularly suited for calculations of crystal-melt (CM) interface thermodynamic and transport properties. The accuracy of the potentials for pure Ti and pure Ni were tested against both 0 K and high-temperature properties by comparing various properties obtained from experiments or density functional theory calculations, including structural properties, elastic constants, point-defect properties, surface energies, temperatures, and enthalpies of phase transformations, and diffusivity and viscosity in the liquid phase. Ti-Ni's fitted binary potential was also tested against various non-fitted properties at 0 K and high temperatures, including lattice parameters, formation energies of different intermetallic compounds, and the temperature dependence of liquid density at various concentrations.
Species
The supported atomic species.
Ni, Ti
Disclaimer
A statement of applicability provided by the contributor, informing users of the intended use of this KIM Item.
None
Content Origin NIST IPRP (https://www.ctcms.nist.gov/potentials/system/Ni-Ti/#Ni-Ti)
Contributor Yaser Afshar
Maintainer Yaser Afshar
Developer Sepideh Kavousi
Brian R. Novak
Michael I. Baskes
Mohsen Asle Zaeem
Dorel Moldovan
Published on KIM 2021
How to Cite Click here to download this citation in BibTeX format.
Funding Not available
Short KIM ID
The unique KIM identifier code.
MO_050461957184_001
Extended KIM ID
The long form of the KIM ID including a human readable prefix (100 characters max), two underscores, and the Short KIM ID. Extended KIM IDs can only contain alpha-numeric characters (letters and digits) and underscores and must begin with a letter.
MEAM_LAMMPS_KavousiNovakBaskes_2019_NiTi__MO_050461957184_001
DOI 10.25950/ecf35cd6
https://doi.org/10.25950/ecf35cd6
https://commons.datacite.org/doi.org/10.25950/ecf35cd6
KIM Item Type
Specifies whether this is a Portable Model (software implementation of an interatomic model); Portable Model with parameter file (parameter file to be read in by a Model Driver); Model Driver (software implementation of an interatomic model that reads in parameters).
Portable Model using Model Driver MEAM_LAMMPS__MD_249792265679_001
DriverMEAM_LAMMPS__MD_249792265679_001
KIM API Version2.2
Potential Type meam
Previous Version MEAM_LAMMPS_KavousiNovakBaskes_2019_NiTi__MO_050461957184_000

(Click here to learn more about Verification Checks)

Grade Name Category Brief Description Full Results Aux File(s)
P vc-periodicity-support mandatory
Periodic boundary conditions are handled correctly; see full description.
Results Files
N/A vc-memory-leak informational
The model code does not have memory leaks (i.e. it releases all allocated memory at the end); see full description.
Results Files


BCC Lattice Constant

This bar chart plot shows the mono-atomic body-centered cubic (bcc) lattice constant predicted by the current model (shown in the unique color) compared with the predictions for all other models in the OpenKIM Repository that support the species. The vertical bars show the average and standard deviation (one sigma) bounds for all model predictions. Graphs are generated for each species supported by the model.

Species: Ni
Species: Ti


Cohesive Energy Graph

This graph shows the cohesive energy versus volume-per-atom for the current mode for four mono-atomic cubic phases (body-centered cubic (bcc), face-centered cubic (fcc), simple cubic (sc), and diamond). The curve with the lowest minimum is the ground state of the crystal if stable. (The crystal structure is enforced in these calculations, so the phase may not be stable.) Graphs are generated for each species supported by the model.

Species: Ti
Species: Ni


Diamond Lattice Constant

This bar chart plot shows the mono-atomic face-centered diamond lattice constant predicted by the current model (shown in the unique color) compared with the predictions for all other models in the OpenKIM Repository that support the species. The vertical bars show the average and standard deviation (one sigma) bounds for all model predictions. Graphs are generated for each species supported by the model.

Species: Ni
Species: Ti


Dislocation Core Energies

This graph shows the dislocation core energy of a cubic crystal at zero temperature and pressure for a specific set of dislocation core cutoff radii. After obtaining the total energy of the system from conjugate gradient minimizations, non-singular, isotropic and anisotropic elasticity are applied to obtain the dislocation core energy for each of these supercells with different dipole distances. Graphs are generated for each species supported by the model.

(No matching species)

FCC Elastic Constants

This bar chart plot shows the mono-atomic face-centered cubic (fcc) elastic constants predicted by the current model (shown in blue) compared with the predictions for all other models in the OpenKIM Repository that support the species. The vertical bars show the average and standard deviation (one sigma) bounds for all model predictions. Graphs are generated for each species supported by the model.

Species: Ni
Species: Ti


FCC Lattice Constant

This bar chart plot shows the mono-atomic face-centered cubic (fcc) lattice constant predicted by the current model (shown in red) compared with the predictions for all other models in the OpenKIM Repository that support the species. The vertical bars show the average and standard deviation (one sigma) bounds for all model predictions. Graphs are generated for each species supported by the model.

Species: Ti
Species: Ni


FCC Stacking Fault Energies

This bar chart plot shows the intrinsic and extrinsic stacking fault energies as well as the unstable stacking and unstable twinning energies for face-centered cubic (fcc) predicted by the current model (shown in blue) compared with the predictions for all other models in the OpenKIM Repository that support the species. The vertical bars show the average and standard deviation (one sigma) bounds for all model predictions. Graphs are generated for each species supported by the model.

(No matching species)

FCC Surface Energies

This bar chart plot shows the mono-atomic face-centered cubic (fcc) relaxed surface energies predicted by the current model (shown in blue) compared with the predictions for all other models in the OpenKIM Repository that support the species. The vertical bars show the average and standard deviation (one sigma) bounds for all model predictions. Graphs are generated for each species supported by the model.

Species: Ni


SC Lattice Constant

This bar chart plot shows the mono-atomic simple cubic (sc) lattice constant predicted by the current model (shown in the unique color) compared with the predictions for all other models in the OpenKIM Repository that support the species. The vertical bars show the average and standard deviation (one sigma) bounds for all model predictions. Graphs are generated for each species supported by the model.

Species: Ni
Species: Ti


Cubic Crystal Basic Properties Table

Species: Ni

Species: Ti





Cohesive energy versus lattice constant curve for monoatomic cubic lattices v003

Creators:
Contributor: karls
Publication Year: 2019
DOI: https://doi.org/10.25950/64cb38c5

This Test Driver uses LAMMPS to compute the cohesive energy of a given monoatomic cubic lattice (fcc, bcc, sc, or diamond) at a variety of lattice spacings. The lattice spacings range from a_min (=a_min_frac*a_0) to a_max (=a_max_frac*a_0) where a_0, a_min_frac, and a_max_frac are read from stdin (a_0 is typically approximately equal to the equilibrium lattice constant). The precise scaling and number of lattice spacings sampled between a_min and a_0 (a_0 and a_max) is specified by two additional parameters passed from stdin: N_lower and samplespacing_lower (N_upper and samplespacing_upper). Please see README.txt for further details.
Test Test Results Link to Test Results page Benchmark time
Usertime multiplied by the Whetstone Benchmark. This number can be used (approximately) to compare the performance of different models independently of the architecture on which the test was run.

Measured in Millions of Whetstone Instructions (MWI)
Cohesive energy versus lattice constant curve for bcc Ni v004 view 6803
Cohesive energy versus lattice constant curve for bcc Ti v004 view 7052
Cohesive energy versus lattice constant curve for diamond Ni v004 view 9243
Cohesive energy versus lattice constant curve for diamond Ti v004 view 6903
Cohesive energy versus lattice constant curve for fcc Ni v004 view 6654
Cohesive energy versus lattice constant curve for fcc Ti v004 view 6763
Cohesive energy versus lattice constant curve for sc Ni v004 view 13232
Cohesive energy versus lattice constant curve for sc Ti v004 view 8834


Elastic constants for cubic crystals at zero temperature and pressure v006

Creators: Junhao Li and Ellad Tadmor
Contributor: tadmor
Publication Year: 2019
DOI: https://doi.org/10.25950/5853fb8f

Computes the cubic elastic constants for some common crystal types (fcc, bcc, sc, diamond) by calculating the hessian of the energy density with respect to strain. An estimate of the error associated with the numerical differentiation performed is reported.
Test Test Results Link to Test Results page Benchmark time
Usertime multiplied by the Whetstone Benchmark. This number can be used (approximately) to compare the performance of different models independently of the architecture on which the test was run.

Measured in Millions of Whetstone Instructions (MWI)
Elastic constants for bcc Ni at zero temperature v006 view 28625
Elastic constants for bcc Ti at zero temperature v006 view 37417
Elastic constants for fcc Ni at zero temperature v006 view 28625
Elastic constants for fcc Ti at zero temperature v006 view 39147
Elastic constants for sc Ni at zero temperature v006 view 28038
Elastic constants for sc Ti at zero temperature v006 view 27630


Equilibrium structure and energy for a crystal structure at zero temperature and pressure v000

Creators:
Contributor: ilia
Publication Year: 2023
DOI: https://doi.org/10.25950/53ef2ea4

Computes the equilibrium crystal structure and energy for an arbitrary crystal at zero temperature and applied stress by performing symmetry-constrained relaxation. The crystal structure is specified using the AFLOW prototype designation. Multiple sets of free parameters corresponding to the crystal prototype may be specified as initial guesses for structure optimization. No guarantee is made regarding the stability of computed equilibria, nor that any are the ground state.
Test Test Results Link to Test Results page Benchmark time
Usertime multiplied by the Whetstone Benchmark. This number can be used (approximately) to compare the performance of different models independently of the architecture on which the test was run.

Measured in Millions of Whetstone Instructions (MWI)
Equilibrium crystal structure and energy for NiTi in AFLOW crystal prototype A3B_hP16_194_gh_ac v000 view 83994
Equilibrium crystal structure and energy for NiTi in AFLOW crystal prototype A4B3_hR14_148_abf_f v000 view 173892
Equilibrium crystal structure and energy for Ni in AFLOW crystal prototype A_cF4_225_a v000 view 62357
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_cF4_225_a v000 view 84664
Equilibrium crystal structure and energy for Ni in AFLOW crystal prototype A_cI2_229_a v000 view 63976
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_cI2_229_a v000 view 55289
Equilibrium crystal structure and energy for Ni in AFLOW crystal prototype A_hP2_194_c v000 view 65817
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_hP3_191_ad v000 view 57160
Equilibrium crystal structure and energy for NiTi in AFLOW crystal prototype AB_cP2_221_a_b v000 view 79528
Equilibrium crystal structure and energy for NiTi in AFLOW crystal prototype AB_hP18_157_ab2c_ab2c v000 view 100050
Equilibrium crystal structure and energy for NiTi in AFLOW crystal prototype AB_oC8_63_c_c v000 view 60590
Equilibrium crystal structure and energy for NiTi in AFLOW crystal prototype AB_oP4_51_e_f v000 view 58896


Relaxed energy as a function of tilt angle for a symmetric tilt grain boundary within a cubic crystal v003

Creators:
Contributor: brunnels
Publication Year: 2022
DOI: https://doi.org/10.25950/2c59c9d6

Computes grain boundary energy for a range of tilt angles given a crystal structure, tilt axis, and material.
Test Test Results Link to Test Results page Benchmark time
Usertime multiplied by the Whetstone Benchmark. This number can be used (approximately) to compare the performance of different models independently of the architecture on which the test was run.

Measured in Millions of Whetstone Instructions (MWI)
Relaxed energy as a function of tilt angle for a 100 symmetric tilt grain boundary in fcc Ni v001 view 38593613
Relaxed energy as a function of tilt angle for a 110 symmetric tilt grain boundary in fcc Ni v001 view 204063604
Relaxed energy as a function of tilt angle for a 111 symmetric tilt grain boundary in fcc Ni v001 view 97208730


Equilibrium lattice constant and cohesive energy of a cubic lattice at zero temperature and pressure v007

Creators: Daniel S. Karls and Junhao Li
Contributor: karls
Publication Year: 2019
DOI: https://doi.org/10.25950/2765e3bf

Equilibrium lattice constant and cohesive energy of a cubic lattice at zero temperature and pressure.
Test Test Results Link to Test Results page Benchmark time
Usertime multiplied by the Whetstone Benchmark. This number can be used (approximately) to compare the performance of different models independently of the architecture on which the test was run.

Measured in Millions of Whetstone Instructions (MWI)
Equilibrium zero-temperature lattice constant for bcc Ni v007 view 21712
Equilibrium zero-temperature lattice constant for bcc Ti v007 view 22498
Equilibrium zero-temperature lattice constant for diamond Ni v007 view 23821
Equilibrium zero-temperature lattice constant for diamond Ti v007 view 23711
Equilibrium zero-temperature lattice constant for fcc Ni v007 view 22498
Equilibrium zero-temperature lattice constant for fcc Ti v007 view 22567
Equilibrium zero-temperature lattice constant for sc Ni v007 view 21871
Equilibrium zero-temperature lattice constant for sc Ti v007 view 21364


Equilibrium lattice constants for hexagonal bulk structures at zero temperature and pressure v005

Creators: Daniel S. Karls and Junhao Li
Contributor: karls
Publication Year: 2019
DOI: https://doi.org/10.25950/c339ca32

Calculates lattice constant of hexagonal bulk structures at zero temperature and pressure by using simplex minimization to minimize the potential energy.
Test Test Results Link to Test Results page Benchmark time
Usertime multiplied by the Whetstone Benchmark. This number can be used (approximately) to compare the performance of different models independently of the architecture on which the test was run.

Measured in Millions of Whetstone Instructions (MWI)
Equilibrium lattice constants for hcp Ni v005 view 411426
Equilibrium lattice constants for hcp Ti v005 view 402495


Linear thermal expansion coefficient of cubic crystal structures v001

Creators: Mingjian Wen
Contributor: mjwen
Publication Year: 2019
DOI: https://doi.org/10.25950/fc69d82d

This Test Driver uses LAMMPS to compute the linear thermal expansion coefficient at a finite temperature under a given pressure for a cubic lattice (fcc, bcc, sc, diamond) of a single given species.
Test Test Results Link to Test Results page Benchmark time
Usertime multiplied by the Whetstone Benchmark. This number can be used (approximately) to compare the performance of different models independently of the architecture on which the test was run.

Measured in Millions of Whetstone Instructions (MWI)
Linear thermal expansion coefficient of fcc Ni at 293.15 K under a pressure of 0 MPa v001 view 68863787


High-symmetry surface energies in cubic lattices and broken bond model v004

Creators: Matt Bierbaum
Contributor: mattbierbaum
Publication Year: 2019
DOI: https://doi.org/10.25950/6c43a4e6

Calculates the surface energy of several high symmetry surfaces and produces a broken-bond model fit. In latex form, the fit equations are given by:

E_{FCC} (\vec{n}) = p_1 (4 \left( |x+y| + |x-y| + |x+z| + |x-z| + |z+y| +|z-y|\right)) + p_2 (8 \left( |x| + |y| + |z|\right)) + p_3 (2 ( |x+ 2y + z| + |x+2y-z| + |x-2y + z| + |x-2y-z| + |2x+y+z| + |2x+y-z| +|2x-y+z| +|2x-y-z| +|x+y+2z| +|x+y-2z| +|x-y+2z| +|x-y-2z| ) + c

E_{BCC} (\vec{n}) = p_1 (6 \left( | x+y+z| + |x+y-z| + |-x+y-z| + |x-y+z| \right)) + p_2 (8 \left( |x| + |y| + |z|\right)) + p_3 (4 \left( |x+y| + |x-y| + |x+z| + |x-z| + |z+y| +|z-y|\right)) +c.

In Python, these two fits take the following form:

def BrokenBondFCC(params, index):

import numpy
x, y, z = index
x = x / numpy.sqrt(x**2.+y**2.+z**2.)
y = y / numpy.sqrt(x**2.+y**2.+z**2.)
z = z / numpy.sqrt(x**2.+y**2.+z**2.)

return params[0]*4* (abs(x+y) + abs(x-y) + abs(x+z) + abs(x-z) + abs(z+y) + abs(z-y)) + params[1]*8*(abs(x) + abs(y) + abs(z)) + params[2]*(abs(x+2*y+z) + abs(x+2*y-z) +abs(x-2*y+z) +abs(x-2*y-z) + abs(2*x+y+z) +abs(2*x+y-z) +abs(2*x-y+z) +abs(2*x-y-z) + abs(x+y+2*z) +abs(x+y-2*z) +abs(x-y+2*z) +abs(x-y-2*z))+params[3]

def BrokenBondBCC(params, x, y, z):


import numpy
x, y, z = index
x = x / numpy.sqrt(x**2.+y**2.+z**2.)
y = y / numpy.sqrt(x**2.+y**2.+z**2.)
z = z / numpy.sqrt(x**2.+y**2.+z**2.)

return params[0]*6*(abs(x+y+z) + abs(x-y-z) + abs(x-y+z) + abs(x+y-z)) + params[1]*8*(abs(x) + abs(y) + abs(z)) + params[2]*4* (abs(x+y) + abs(x-y) + abs(x+z) + abs(x-z) + abs(z+y) + abs(z-y)) + params[3]
Test Test Results Link to Test Results page Benchmark time
Usertime multiplied by the Whetstone Benchmark. This number can be used (approximately) to compare the performance of different models independently of the architecture on which the test was run.

Measured in Millions of Whetstone Instructions (MWI)
Broken-bond fit of high-symmetry surface energies in fcc Ni v004 view 258924


ElasticConstantsCubic__TD_011862047401_006

ElasticConstantsHexagonal__TD_612503193866_004

EquilibriumCrystalStructure__TD_457028483760_000

GrainBoundaryCubicCrystalSymmetricTiltRelaxedEnergyVsAngle__TD_410381120771_002

GrainBoundaryCubicCrystalSymmetricTiltRelaxedEnergyVsAngle__TD_410381120771_003

PhononDispersionCurve__TD_530195868545_004
Test Error Categories Link to Error page
Phonon dispersion relations for fcc Ni v004 other view

StackingFaultFccCrystal__TD_228501831190_002
Test Error Categories Link to Error page
Stacking and twinning fault energies for fcc Ni v002 other view

No Driver
Verification Check Error Categories Link to Error page
MemoryLeak__VC_561022993723_004 other view
PeriodicitySupport__VC_895061507745_004 other view




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