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EMT_Asap_MetalGlass_BaileySchiotzJacobsen_2004_CuMg__MO_228059236215_001

Title
A single sentence description.
EMT potential for Cu-Mg metallic glasses developed by Bailey, Schiotz, and Jacobsen (2004) 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.
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 a special parametrization optimized for CuMg [5] bulk metallic glasses only! It probably gives reasonable results for other CuMg compounds.

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).

[5] Bailey, N., Schiøtz, J., & Jacobsen, K. W.: "Simulation of Cu-Mg metallic glass: Thermodynamics and structure". Phys. Rev. B 69, 144205 (2004).



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.
Cu, Mg
Content Origin https://gitlab.com/asap/asap
Contributor schiotz
Maintainer schiotz
Author Jakob Schiøtz
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

Bailey NP, Schiøtz J, Jacobsen KW (2004) Simulation of Cu-Mg metallic glass: Thermodynamics and structure. Physical Review B 69(14):144205. doi:10.1103/PhysRevB.69.144205

Bailey NP, Schiøtz J, Jacobsen KW (2017) Erratum: Simulation of Cu-Mg metallic glass: Thermodynamics and structure. Physical Review B 96(5):059904. doi:10.1103/PhysRevB.96.059904

Item Citation Click here to download a citation in BibTeX format.
Short KIM ID
The unique KIM identifier code.
MO_228059236215_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_MetalGlass_BaileySchiotzJacobsen_2004_CuMg__MO_228059236215_001
DOI 10.25950/dfe6edcd
https://doi.org/10.25950/dfe6edcd
https://search.datacite.org/works/10.25950/dfe6edcd
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
DriverEMT_Asap__MD_128315414717_004
KIM API Version2.0
Previous Version EMT_Asap_MetalGlass_BaileySchiotzJacobsen_2004_CuMg__MO_228059236215_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.

Species: Cu
Species: Mg

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: Mg

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: Mg

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: Mg

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: Mg

Click on any thumbnail to get a full size image.



Cubic Crystal Basic Properties Table

Species: Cu

Species: Mg



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 484
CohesiveEnergyVsLatticeConstant_bcc_Mg__TE_555138003298_002 view 387
CohesiveEnergyVsLatticeConstant_diamond_Cu__TE_596332570306_002 view 451
CohesiveEnergyVsLatticeConstant_diamond_Mg__TE_795988541571_002 view 451
CohesiveEnergyVsLatticeConstant_fcc_Cu__TE_311348891940_002 view 419
CohesiveEnergyVsLatticeConstant_fcc_Mg__TE_862062376018_002 view 419
CohesiveEnergyVsLatticeConstant_sc_Cu__TE_767437873249_002 view 322
CohesiveEnergyVsLatticeConstant_sc_Mg__TE_107898901369_002 view 387
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 1935
ElasticConstantsCubic_bcc_Mg__TE_846282364500_004 view 1967
ElasticConstantsCubic_fcc_Cu__TE_188557531340_004 view 1902
ElasticConstantsCubic_fcc_Mg__TE_621868562408_004 view 2580
ElasticConstantsCubic_sc_Cu__TE_319353354686_004 view 1999
ElasticConstantsCubic_sc_Mg__TE_777461579632_004 view 1064
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 2354
ElasticConstantsHexagonal_hcp_Mg__TE_236620527686_003 view 1580
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 903
LatticeConstantCubicEnergy_bcc_Mg__TE_636886550155_005 view 967
LatticeConstantCubicEnergy_diamond_Cu__TE_939141232476_005 view 1032
LatticeConstantCubicEnergy_diamond_Mg__TE_547110175880_005 view 871
LatticeConstantCubicEnergy_fcc_Cu__TE_387272513402_005 view 1032
LatticeConstantCubicEnergy_fcc_Mg__TE_950830542105_005 view 806
LatticeConstantCubicEnergy_sc_Cu__TE_904717264736_005 view 967
LatticeConstantCubicEnergy_sc_Mg__TE_952926914526_005 view 967
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 7835
LatticeConstantHexagonalEnergy_hcp_Mg__TE_618763790795_004 view 5159
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 74322
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 40821





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