EAM_Dynamo_CaiYe_1996_AlCu__MO_942551040047_005
| Title
A single sentence description.
|
EAM potential (LAMMPS cubic hermite tabulation) for the Al-Cu system developed by Cai and Ye (1996) 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 analytical embedded-atom method (EAM) model is developed. The model includes a long-range force. In this model, the electron-density function is taken as a decreasing exponential function, the two-body potential is defined as a function like a form given by Rose et al. [Phys. Rev. B 33, 7983 (1986)], and the embedding energy is assumed to be an universal form recently suggested by Banerjea and Smith. The embedding energy has a positive curvature. The model is applied to seven fcc metals (Al, Ag, Au, Cu, Ni, Pd, and Pt) and their binary alloys. All the considered properties, whether for pure metal systems or for alloy systems, are predicted to be satisfactory at least qualitatively. The model resolves the problems of Johnson’s model for predicting the properties of the alloys involving metal Pd. However, more importantly, (i) by investigating the structure stability of seven fcc metals using the present model, we found that the stability energy is dominated by both the embedding energy and the pair potential for fcc-bcc stability while the pair potential dominates and is underestimated for fcc-hcp stability; and (ii) we find that the predicted total energy as a function of lattice parameter is in good agreement with the equation of state of Rose et al. for all seven fcc metals, and that this agreement is closely related to the electron density, i.e., the lower the contribution from atoms of the second-nearest neighbor to host density, the better the agreement becomes. We conclude the following: (i) for an EAM, where angle force is not considered, the long-range force is necessary for a prediction of the structure stability; or (ii) the dependence of the electron density on angle should be considered so as to improve the structure-stability energy. The conclusions are valid for all EAM models where an angle force is not considered. |
| Species
The supported atomic species.
| Al, Cu |
| Contributor |
spkim |
| Maintainer |
spkim |
| Author | |
| Publication Year | 2018 |
| Source Citations
A citation to primary published work(s) that describe this KIM Item.
| Cai J, Ye YY (1996) Simple analytical embedded-atom-potential model including a long-range force for fcc metals and their alloys. Physical Review B 54(12):8398–8410. doi:10.1103/PhysRevB.54.8398 |
| Item Citation | Click here to download a citation in BibTeX format. |
| Short KIM ID
The unique KIM identifier code.
| MO_942551040047_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_CaiYe_1996_AlCu__MO_942551040047_005 |
| DOI |
10.25950/73668fb7 https://doi.org/10.25950/73668fb7 https://search.datacite.org/works/10.25950/73668fb7 |
| 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 |
| Driver | EAM_Dynamo__MD_120291908751_005 |
| KIM API Version | 2.0 |
| Previous Version | EAM_Dynamo_CaiYe_1996_AlCu__MO_942551040047_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.
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.
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.
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.
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.
Click on any thumbnail to get a full size image.
Cubic Crystal Basic Properties Table
Species: AlSpecies: Cu
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_Al__TE_320860761056_002 | view | 1604 | |
| CohesiveEnergyVsLatticeConstant_bcc_Cu__TE_864632638496_002 | view | 1444 | |
| CohesiveEnergyVsLatticeConstant_diamond_Al__TE_024193005713_002 | view | 2086 | |
| CohesiveEnergyVsLatticeConstant_diamond_Cu__TE_596332570306_002 | view | 1444 | |
| CohesiveEnergyVsLatticeConstant_fcc_Al__TE_380539271142_002 | view | 2150 | |
| CohesiveEnergyVsLatticeConstant_fcc_Cu__TE_311348891940_002 | view | 2150 | |
| CohesiveEnergyVsLatticeConstant_sc_Al__TE_549565909158_002 | view | 1989 | |
| CohesiveEnergyVsLatticeConstant_sc_Cu__TE_767437873249_002 | view | 1989 |
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_Al__TE_143620255826_004 | view | 1444 | |
| ElasticConstantsCubic_bcc_Cu__TE_091603841600_004 | view | 1444 | |
| ElasticConstantsCubic_fcc_Al__TE_944469580177_004 | view | 1893 | |
| ElasticConstantsCubic_fcc_Cu__TE_188557531340_004 | view | 2503 | |
| ElasticConstantsCubic_sc_Al__TE_566227372929_004 | view | 1540 | |
| ElasticConstantsCubic_sc_Cu__TE_319353354686_004 | view | 2150 |
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_Al__TE_064090254718_003 | view | 3922 | |
| ElasticConstantsHexagonal_hcp_Cu__TE_198002759922_003 | view | 3555 |
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_Al__TE_201065028814_006 | view | 802 | |
| LatticeConstantCubicEnergy_bcc_Cu__TE_873531926707_006 | view | 1315 | |
| LatticeConstantCubicEnergy_diamond_Al__TE_586085652256_006 | view | 1283 | |
| LatticeConstantCubicEnergy_diamond_Cu__TE_939141232476_006 | view | 1219 | |
| LatticeConstantCubicEnergy_fcc_Al__TE_156715955670_006 | view | 802 | |
| LatticeConstantCubicEnergy_fcc_Cu__TE_387272513402_006 | view | 1444 | |
| LatticeConstantCubicEnergy_sc_Al__TE_272202056996_006 | view | 1091 | |
| LatticeConstantCubicEnergy_sc_Cu__TE_904717264736_006 | view | 1123 |
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_Al__TE_248740869817_004 | view | 17007 | |
| LatticeConstantHexagonalEnergy_hcp_Cu__TE_344176839725_004 | view | 15358 |
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_Al__TE_363050395011_003 | view | 93560 | |
| PhononDispersionCurve_fcc_Cu__TE_575177044018_003 | view | 91891 |
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_Al_0bar__TE_104913236993_001 | view | 6890895 | |
| StackingFaultFccCrystal_Cu_0bar__TE_090810770014_001 | view | 7139169 |
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]
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_Al__TE_761372278666_003 | view | 26695 | |
| SurfaceEnergyCubicCrystalBrokenBondFit_fcc_Cu__TE_689904280697_003 | view | 33240 |
Download
| EAM_Dynamo_CaiYe_1996_AlCu__MO_942551040047_005.txz | Tar+XZ | Linux and OS X archive |
| EAM_Dynamo_CaiYe_1996_AlCu__MO_942551040047_005.zip | Zip | Windows archive |
| Metadata snapshot archives: https://s3.openkim.org/archives/models/MO_942551040047_005 | ||
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This Model requires a Model Driver. Archives for the Model Driver EAM_Dynamo__MD_120291908751_005 appear below.
| EAM_Dynamo__MD_120291908751_005.txz | Tar+XZ | Linux and OS X archive |
| EAM_Dynamo__MD_120291908751_005.zip | Zip | Windows archive |