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EAM_Dynamo_HoytGarvinWebb_2003_PbCu__MO_119135752160_005

Title
A single sentence description.
EAM potential (LAMMPS cubic hermite tabulation) for the Pb-Cu system developed by Hoyt et al. (2003) v005
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.
A simple procedure is used to formulate a Cu–Pb pair interaction function within the embedded atom (EAM) method framework. Embedding, density and pair functions for pure Cu and pure Pb are taken from previously published EAM studies. Optimization of the Cu–Pb potential was achieved by comparing with experiment the computed heats of mixing for Cu–Pb liquid alloys and the equilibrium phase diagram, the latter being determined via a thermodynamic integration technique. The topology of the temperature-composition phase diagram computed with this EAM potential is consistent with experiment and features a liquid–liquid miscibility gap, low solubility of Pb in solid Cu and a monotectic reaction at approximately 1012 K.
Species
The supported atomic species.
Cu, Pb
Content Origin http://www.ctcms.nist.gov/potentials/Pb.html
Contributor jjhoyt
Maintainer jjhoyt
Author Jeffrey Hoyt
Publication Year 2018
Source Citations
A citation to primary published work(s) that describe this KIM Item.

Hoyt JJ, Garvin JW, III EBW, Asta M (2003) An embedded atom method interatomic potential for the Cu–Pb system. Modelling and Simulation in Materials Science and Engineering 11(3):287. doi:10.1088/0965-0393/11/3/302

Item Citation Click here to download a citation in BibTeX format.
Short KIM ID
The unique KIM identifier code.
MO_119135752160_005
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.
EAM_Dynamo_HoytGarvinWebb_2003_PbCu__MO_119135752160_005
DOI 10.25950/f6e7d52c
https://doi.org/10.25950/f6e7d52c
https://search.datacite.org/works/10.25950/f6e7d52c
KIM Item Type
Specifies whether this is a Stand-alone Model (software implementation of an interatomic model); Parameterized Model (parameter file to be read in by a Model Driver); Model Driver (software implementation of an interatomic model that reads in parameters).
Parameterized Model using Model Driver EAM_Dynamo__MD_120291908751_005
DriverEAM_Dynamo__MD_120291908751_005
KIM API Version2.0
Previous Version EAM_Dynamo_HoytGarvinWebb_2003_PbCu__MO_119135752160_004

Verification Check Dashboard

(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
B vc-forces-numerical-derivative consistency
Forces computed by the model agree with numerical derivatives of the energy; see full description.
Results Files
F 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
P 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
P 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

Visualizers (in-page)


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: Cu
Species: Pb

Click on any thumbnail to get a full size image.



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: Cu
Species: Pb

Click on any thumbnail to get a full size image.



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: Cu
Species: Pb

Click on any thumbnail to get a full size image.



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: Cu
Species: Pb

Click on any thumbnail to get a full size image.



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: Cu
Species: Pb

Click on any thumbnail to get a full size image.



Cubic Crystal Basic Properties Table

Species: Cu

Species: Pb



Tests

CohesiveEnergyVsLatticeConstant__TD_554653289799_002
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 muliplied 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)
CohesiveEnergyVsLatticeConstant_bcc_Cu__TE_864632638496_002 view 1796
CohesiveEnergyVsLatticeConstant_bcc_Pb__TE_450763823456_002 view 1503
CohesiveEnergyVsLatticeConstant_diamond_Cu__TE_596332570306_002 view 1356
CohesiveEnergyVsLatticeConstant_diamond_Pb__TE_789947924901_002 view 1613
CohesiveEnergyVsLatticeConstant_fcc_Cu__TE_311348891940_002 view 2053
CohesiveEnergyVsLatticeConstant_fcc_Pb__TE_673924789794_002 view 2089
CohesiveEnergyVsLatticeConstant_sc_Cu__TE_767437873249_002 view 1943
CohesiveEnergyVsLatticeConstant_sc_Pb__TE_414686210875_002 view 2053
ElasticConstantsCubic__TD_011862047401_004
Computes the cubic elastic constants for some common crystal types (fcc, bcc, sc) 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 muliplied 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)
ElasticConstantsCubic_bcc_Cu__TE_091603841600_004 view 2712
ElasticConstantsCubic_bcc_Pb__TE_459176310372_004 view 3335
ElasticConstantsCubic_fcc_Cu__TE_188557531340_004 view 3592
ElasticConstantsCubic_fcc_Pb__TE_131795349970_004 view 3775
ElasticConstantsCubic_sc_Cu__TE_319353354686_004 view 3116
ElasticConstantsCubic_sc_Pb__TE_728987789416_004 view 2786
ElasticConstantsHexagonal__TD_612503193866_003
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 muliplied 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)
ElasticConstantsHexagonal_hcp_Cu__TE_198002759922_003 view 3079
ElasticConstantsHexagonal_hcp_Pb__TE_192689786850_003 view 2859
LatticeConstantCubicEnergy__TD_475411767977_005
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 muliplied 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)
LatticeConstantCubicEnergy_bcc_Cu__TE_873531926707_005 view 1283
LatticeConstantCubicEnergy_bcc_Pb__TE_636681642725_005 view 1320
LatticeConstantCubicEnergy_diamond_Cu__TE_939141232476_005 view 1686
LatticeConstantCubicEnergy_diamond_Pb__TE_508718593349_005 view 1429
LatticeConstantCubicEnergy_fcc_Cu__TE_387272513402_005 view 1503
LatticeConstantCubicEnergy_fcc_Pb__TE_493918884634_005 view 1356
LatticeConstantCubicEnergy_sc_Cu__TE_904717264736_005 view 1466
LatticeConstantCubicEnergy_sc_Pb__TE_166390093515_005 view 1393
LatticeConstantHexagonalEnergy__TD_942334626465_004
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 muliplied 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)
LatticeConstantHexagonalEnergy_hcp_Cu__TE_344176839725_004 view 15614
LatticeConstantHexagonalEnergy_hcp_Pb__TE_915577249410_004 view 11069
PhononDispersionCurve__TD_530195868545_003
Calculates the phonon dispersion relations for fcc lattices and records the results as curves.
Test Test Results Link to Test Results page Benchmark time
Usertime muliplied 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)
PhononDispersionCurve_fcc_Cu__TE_575177044018_003 view 134700
PhononDispersionCurve_fcc_Pb__TE_513813874345_003 view 138695
StackingFaultFccCrystal__TD_228501831190_001
Intrinsic and extrinsic stacking fault energies, unstable stacking fault energy, unstable twinning energy, stacking fault energy as a function of fractional displacement, and gamma surface for a monoatomic FCC lattice at zero temperature and pressure.
Test Test Results Link to Test Results page Benchmark time
Usertime muliplied 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)
StackingFaultFccCrystal_Cu_0bar__TE_090810770014_001 view 9673130
StackingFaultFccCrystal_Pb_0bar__TE_224024938466_001 view 4531924
SurfaceEnergyCubicCrystalBrokenBondFit__TD_955413365818_003
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 muliplied 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)
SurfaceEnergyCubicCrystalBrokenBondFit_fcc_Cu__TE_689904280697_003 view 22047
SurfaceEnergyCubicCrystalBrokenBondFit_fcc_Pb__TE_041069419266_003 view 15660


Errors

  • No Errors associated with this Model




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