EMT_Asap_Standard_JacobsenStoltzeNorskov_1996_Au__MO_017524376569_001
| Title
A single sentence description.
|
EMT potential for Au developed by Jacobsen, Stoltze, and Norskov (1996) v000 |
|---|---|
| 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.
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Effective Medium Theory (EMT) model based on the EMT implementation in ASAP (https://wiki.fysik.dtu.dk/asap). Effective Medium Theory is a many-body potential of the same class as Embedded Atom Method, Finnis-Sinclair etc. The main term in the energy per atom is the local density of atoms. The functional form implemented here is that of Ref. 1. The principles behind EMT are described in Refs. 2 and 3 (with 2 being the more detailed and 3 being the most pedagogical). Be aware that the functional form and even some of the principles have changed since refs 2 and 3. EMT can be considered the last step of a series of approximations starting with Density Functional Theory; see Ref 4. This model implements the "official" parametrization as published in Ref. 1. This parametrization is appropriate for single-element simulations of gold (Au). For alloy simulations, please use the alloy parametrization EMT_Asap_Standard_JacobsenStoltzeNorskov_1996_AlAgAuCuNiPdPt which uses a slightly larger cutoff to accomodate for all the elements, at the price of changing the properties of the individual elements marginally. These files are based on Asap version 3.11.5. REFERENCES: [1] Jacobsen, K. W., Stoltze, P., & Nørskov, J.: "A semi-empirical effective medium theory for metals and alloys". Surf. Sci. 366, 394–402 (1996). [2] Jacobsen, K. W., Nørskov, J., & Puska, M.: "Interatomic interactions in the effective-medium theory". Phys. Rev. B 35, 7423–7442 (1987). [3] Jacobsen, K. W.: "Bonding in Metallic Systems: An Effective-Medium Approach". Comments Cond. Mat. Phys. 14, 129-161 (1988). [4] Chetty, N., Stokbro, K., Jacobsen, K. W., & Nørskov, J.: "Ab initio potential for solids". Phys. Rev. B 46, 3798–3809 (1992). KNOWN ISSUES / BUGS: * On-the-fly modifications of the parameters is not supported, and should be implemented in the future. |
| Species
The supported atomic species.
| Au |
| Content Origin | https://gitlab.com/asap/asap |
| Contributor |
schiotz |
| Maintainer |
schiotz |
| Author | |
| Publication Year | 2019 |
| Source Citations
A citation to primary published work(s) that describe this KIM Item.
| Jacobsen KW, Stoltze P, Nørskov JK (1996) A semi-empirical effective medium theory for metals and alloys. Surface Science 366(2):394–402. doi:10.1016/0039-6028(96)00816-3 |
| Item Citation | Click here to download a citation in BibTeX format. |
| Short KIM ID
The unique KIM identifier code.
| MO_017524376569_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.
| EMT_Asap_Standard_JacobsenStoltzeNorskov_1996_Au__MO_017524376569_001 |
| DOI |
10.25950/77643e82 https://doi.org/10.25950/77643e82 https://search.datacite.org/works/10.25950/77643e82 |
| 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 EMT_Asap__MD_128315414717_004 |
| Driver | EMT_Asap__MD_128315414717_004 |
| KIM API Version | 2.0 |
| Previous Version | EMT_Asap_Standard_JacobsenStoltzeNorskov_1996_Au__MO_017524376569_000 |
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 |
| A | 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: AuTests
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_Au__TE_048019432807_002 | view | 516 | |
| CohesiveEnergyVsLatticeConstant_diamond_Au__TE_464393613038_002 | view | 355 | |
| CohesiveEnergyVsLatticeConstant_fcc_Au__TE_639842329907_002 | view | 484 | |
| CohesiveEnergyVsLatticeConstant_sc_Au__TE_217023185784_002 | view | 290 |
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_Au__TE_331337049300_004 | view | 2128 | |
| ElasticConstantsCubic_fcc_Au__TE_955259038482_004 | view | 1806 | |
| ElasticConstantsCubic_sc_Au__TE_292034176243_004 | view | 2257 |
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_Au__TE_173297003682_003 | view | 1258 |
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_Au__TE_725597583582_005 | view | 903 | |
| LatticeConstantCubicEnergy_diamond_Au__TE_871491775328_005 | view | 742 | |
| LatticeConstantCubicEnergy_fcc_Au__TE_622115706816_005 | view | 1129 | |
| LatticeConstantCubicEnergy_sc_Au__TE_267331964638_005 | view | 967 |
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_Au__TE_582408679046_004 | view | 5546 |
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_Au__TE_171727129373_003 | view | 71388 |
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_Au__TE_440844375214_003 | view | 28471 |
Errors
LinearThermalExpansionCoeffCubic__TD_522633393614_000| Test | Error Categories | Link to Error page |
|---|---|---|
| LinearThermalExpansionCoeff_fcc_Au__TE_173429922932_000 | mismatch | view |
StackingFaultFccCrystal__TD_228501831190_001
| Test | Error Categories | Link to Error page |
|---|---|---|
| StackingFaultFccCrystal_Au_0bar__TE_843792000528_001 | other | view |
VacancyFormationEnergyRelaxationVolume__TD_647413317626_000
| Test | Error Categories | Link to Error page |
|---|---|---|
| VacancyFormationEnergyRelaxationVolume_fcc_Au__TE_498189415365_000 | mismatch | view |
VacancyFormationMigration__TD_554849987965_000
| Test | Error Categories | Link to Error page |
|---|---|---|
| VacancyFormationMigration_fcc_Au__TE_591056455495_000 | mismatch | view |
Download
| EMT_Asap_Standard_JacobsenStoltzeNorskov_1996_Au__MO_017524376569_001.txz | Tar+XZ | Linux and OS X archive |
| EMT_Asap_Standard_JacobsenStoltzeNorskov_1996_Au__MO_017524376569_001.zip | Zip | Windows archive |
| Metadata snapshot archives: https://s3.openkim.org/archives/models/MO_017524376569_001 | ||
Download Dependency
This Model requires a Model Driver. Archives for the Model Driver EMT_Asap__MD_128315414717_004 appear below.
| EMT_Asap__MD_128315414717_004.txz | Tar+XZ | Linux and OS X archive |
| EMT_Asap__MD_128315414717_004.zip | Zip | Windows archive |