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Sim_LAMMPS_MEAM_ParkFellingerLenosky_2012_W__SM_163270462402_000

Interatomic potential for Tungsten (W).
Use this Potential

Title
A single sentence description.
LAMMPS MEAM Potential for W developed by Park et al. (2012) v000
Description Density-functional theory energies, forces, and elastic constants determine the parametrization of an empirical, modified embedded-atom method potential for tungsten.
Species
The supported atomic species.
W
Disclaimer
A statement of applicability provided by the contributor, informing users of the intended use of this KIM Item.
None
Content Origin Obtained from the developer Thomas Lenosky and posted with his permission.
Contributor Ellad B. Tadmor
Maintainer Ellad B. Tadmor
Developer Hyoungki Park
Michael Fellinger
John W. Wilkins
Dallas R. Trinkle
Thomas Lenosky
Richard G. Hennig
Sven P. Rudin
William W. Tipton
Christopher Woodward
Published on KIM 2019
How to Cite

This Simulator Model originally published in [1-2] is archived in OpenKIM [3-5].

[1] Park H, Fellinger MR, Lenosky TJ, Tipton WW, Trinkle DR, Rudin SP, et al. Ab initio based empirical potential used to study the mechanical properties of molybdenum. Phys Rev B. 2012;85(21):214121. doi:10.1103/PhysRevB.85.214121 — (Primary Source) A primary source is a reference directly related to the item documenting its development, as opposed to other sources that are provided as background information.

[2] Cereceda D, Stukowski A, Gilbert MR, Queyreau S, Ventelon L, Marinica M-C, et al. Assessment of interatomic potentials for atomistic analysis of static and dynamic properties of screw dislocations in W. Journal of Physics: Condensed Matter. 2013;25(8):085702. doi:10.1088/0953-8984/25/8/085702

[3] Park H, Fellinger M, Wilkins JW, Trinkle DR, Lenosky T, Hennig RG, et al. LAMMPS MEAM Potential for W developed by Park et al. (2012) v000. OpenKIM; 2019. doi:10.25950/bdf95e95

[4] Tadmor EB, Elliott RS, Sethna JP, Miller RE, Becker CA. The potential of atomistic simulations and the Knowledgebase of Interatomic Models. JOM. 2011;63(7):17. doi:10.1007/s11837-011-0102-6

[5] Elliott RS, Tadmor EB. Knowledgebase of Interatomic Models (KIM) Application Programming Interface (API). OpenKIM; 2011. doi:10.25950/ff8f563a

Click here to download the above citation in BibTeX format.
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This panel provides information on past usage of this interatomic potential (IP) powered by the OpenKIM Deep Citation framework. The word cloud indicates typical applications of the potential. The bar chart shows citations per year of this IP (bars are divided into articles that used the IP (green) and those that did not (blue)). The complete list of articles that cited this IP is provided below along with the Deep Citation determination on usage. See the Deep Citation documentation for more information.

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Funding Not available
Short KIM ID
The unique KIM identifier code.
SM_163270462402_000
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.
Sim_LAMMPS_MEAM_ParkFellingerLenosky_2012_W__SM_163270462402_000
DOI 10.25950/bdf95e95
https://doi.org/10.25950/bdf95e95
https://commons.datacite.org/doi.org/10.25950/bdf95e95
KIM Item TypeSimulator Model
KIM API Version2.1
Simulator Name
The name of the simulator as defined in kimspec.edn.
LAMMPS
Potential Type meam
Simulator Potential meam/spline
Run Compatibility portable-models

(Click here to learn more about Verification Checks)

Grade Name Category Brief Description Full Results Aux File(s)
P vc-species-supported-as-stated mandatory
The model supports all species it claims to support; see full description.
Results Files
P vc-periodicity-support mandatory
Periodic boundary conditions are handled correctly; see full description.
Results Files
P vc-permutation-symmetry mandatory
Total energy and forces are unchanged when swapping atoms of the same species; see full description.
Results Files
A vc-forces-numerical-derivative consistency
Forces computed by the model agree with numerical derivatives of the energy; see full description.
Results Files
P vc-dimer-continuity-c1 informational
The energy versus separation relation of a pair of atoms is C1 continuous (i.e. the function and its first derivative are continuous); see full description.
Results Files
P vc-objectivity informational
Total energy is unchanged and forces transform correctly under rigid-body translation and rotation; see full description.
Results Files
P vc-inversion-symmetry informational
Total energy is unchanged and forces change sign when inverting a configuration through the origin; 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
N/A vc-thread-safe mandatory
The model returns the same energy and forces when computed in serial and when using parallel threads for a set of configurations. Note that this is not a guarantee of thread safety; 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: W


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: W


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.

(No matching species)

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.

Species: W


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: W


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: W


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.

(No matching species)

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: W


Cubic Crystal Basic Properties Table

Species: W





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 W v004 view 1890
Cohesive energy versus lattice constant curve for fcc W v004 view 4506
Cohesive energy versus lattice constant curve for sc W v004 view 1671


Dislocation core energy for cubic crystals at a set of dislocation core cutoff radii v002

Creators:
Contributor: qyc081025
Publication Year: 2023
DOI: https://doi.org/10.25950/ebecf626

This Test Driver computes the dislocation core energy of a cubic crystal at zero temperature and pressure for a specific set of dislocation core cutoff radii. First, it generates several periodic atomistic supercells containing a dislocation dipole. 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. The supercell is increased in size until the disolcation core energy converges. Finally, after checking the independence of the results from the simulation cell geometry, the dislocation core energies are determined for each dislocation core radius.
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)
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [1, 1, 0] v000 view 9072403
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [1, 1, 1] v000 view 75245525
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [1, 1, 2] v000 view 32146612
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [1, 1, 3] v000 view 183804916
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [1, 1, 4] v000 view 130052675
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [1, 1, 6] v000 view 326537617
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [1, 1, -1] v000 view 614817385
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [2, 2, 3] v000 view 342226792
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [2, 2, 5] v000 view 583985635


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 W at zero temperature v006 view 5342
Elastic constants for fcc W at zero temperature v006 view 4670
Elastic constants for sc W at zero temperature v006 view 2303


Elastic constants for hexagonal crystals at zero temperature v003

Creators: Junhao Li
Contributor: jl2922
Publication Year: 2018
DOI: https://doi.org/10.25950/2e4b93d9

Computes the elastic constants for hcp crystals 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 hcp W at zero temperature view 1644


Equilibrium structure and energy for a crystal structure at zero temperature and pressure v002

Creators:
Contributor: ilia
Publication Year: 2024
DOI: https://doi.org/10.25950/2f2c4ad3

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 W in AFLOW crystal prototype A_cF4_225_a v002 view 68477
Equilibrium crystal structure and energy for W in AFLOW crystal prototype A_cI2_229_a v002 view 96148
Equilibrium crystal structure and energy for W in AFLOW crystal prototype A_cP8_223_ac v002 view 110063


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 W v007 view 5566
Equilibrium zero-temperature lattice constant for fcc W v007 view 6782
Equilibrium zero-temperature lattice constant for sc W v007 view 5374


Equilibrium lattice constants for hexagonal bulk structures at zero temperature and pressure v004

Creators: Junhao Li
Contributor: jl2922
Publication Year: 2018
DOI: https://doi.org/10.25950/25bcc28b

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 W view 8609


Linear thermal expansion coefficient of cubic crystal structures v002

Creators:
Contributor: mjwen
Publication Year: 2024
DOI: https://doi.org/10.25950/9d9822ec

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 bcc W at 293.15 K under a pressure of 0 MPa v002 view 5846084


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 bcc W v004 view 188095


Monovacancy formation energy and relaxation volume for cubic and hcp monoatomic crystals v001

Creators:
Contributor: efuem
Publication Year: 2023
DOI: https://doi.org/10.25950/fca89cea

Computes the monovacancy formation energy and relaxation volume for cubic and hcp monoatomic crystals.
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)
Monovacancy formation energy and relaxation volume for bcc W view 8458554


Vacancy formation and migration energies for cubic and hcp monoatomic crystals v001

Creators:
Contributor: efuem
Publication Year: 2023
DOI: https://doi.org/10.25950/c27ba3cd

Computes the monovacancy formation and migration energies for cubic and hcp monoatomic crystals.
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)
Vacancy formation and migration energy for bcc W view 4807934


DislocationCoreEnergyCubic__TD_452950666597_002
Test Error Categories Link to Error page
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [0, 0, 1] v000 other view
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [1, 1, 5] v000 other view
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [1, 1, 7] v000 other view
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [1, 1, -2] v000 other view
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [2, 2, 1] v000 other view
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [2, 2, -1] v000 other view
Dislocation core energy for bcc W computed at zero temperature for a set of dislocation core cutoff radii with burgers vector [0.5, 0.5, 0.5] along line direction [2, 2, -3] v000 other view

LatticeConstantCubicEnergy__TD_475411767977_007
Test Error Categories Link to Error page
Equilibrium zero-temperature lattice constant for diamond W v007 other view

LatticeConstantHexagonalEnergy__TD_942334626465_005
Test Error Categories Link to Error page
Equilibrium lattice constants for hcp W v005 other view

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



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