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EAM_Dynamo_HepburnAckland_2008_FeC__MO_143977152728_005

Title
A single sentence description.
EAM potential (LAMMPS cubic hermite tabulation) for the FeC system developed by Ackland and Hepburn (2008) 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.
Potential model for iron-carbon incorporation covalent bonding effects. At time of publication this was the only potential which binds properly to vacancies and NOT to interstitials. This gives it the right energetics in a dislocation core, and at a surface. Good clustering of C behavior and fct martensite. Solution energy -7.13eV, migration energy 0.89eV (i.e. diffuses more slowly than vacancies). Compatible with Ackland-Mendelev '04 iron.
Species
The supported atomic species.
C, Fe
Disclaimer
A short statement of applicability which will accompany any results computed using it. A developer can use the disclaimer to inform users of the intended use of this KIM Item.
Does not describe cementite. Does not describe Carbon.
Content Origin http://www.ctcms.nist.gov/potentials/C.html
Contributor gjackland
Maintainer gjackland
Author Graeme J. Ackland
Publication Year 2018
Source Citations
A citation to primary published work(s) that describe this KIM Item.

Hepburn DJ, Ackland GJ (2008) Metallic-covalent interatomic potential for carbon in iron. Physical Review B 78(16):165115. doi:10.1103/PhysRevB.78.165115

Item Citation Click here to download a citation in BibTeX format.
Short KIM ID
The unique KIM identifier code.
MO_143977152728_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_HepburnAckland_2008_FeC__MO_143977152728_005
DOI 10.25950/a38f2843
https://doi.org/10.25950/a38f2843
https://search.datacite.org/works/10.25950/a38f2843
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
Programming Language(s)
The programming languages used in the code and the percentage of the code written in each one. "N/A" means "not applicable" and refers to model parameterizations which only include parameter tables and have no programming language.
N/A
Previous Version EAM_Dynamo_HepburnAckland_2008_FeC__MO_143977152728_004

Verification Check Dashboard

(Click here to learn more about Verification Checks)

Grade Name Category Brief Description Full Results Aux File(s)
N/A 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: C
Species: Fe

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: C
Species: Fe

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: C
Species: Fe

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: C
Species: Fe

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: C
Species: Fe

Click on any thumbnail to get a full size image.



Cubic Crystal Basic Properties Table

Species: C

Species: Fe



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_C__TE_381992859743_002 view 13891
CohesiveEnergyVsLatticeConstant_bcc_Fe__TE_509164219708_002 view 13232
CohesiveEnergyVsLatticeConstant_diamond_C__TE_609752483801_002 view 11729
CohesiveEnergyVsLatticeConstant_diamond_Fe__TE_747158614799_002 view 12462
CohesiveEnergyVsLatticeConstant_fcc_C__TE_004682584752_002 view 14478
CohesiveEnergyVsLatticeConstant_fcc_Fe__TE_431563044903_002 view 14771
CohesiveEnergyVsLatticeConstant_sc_C__TE_095514597201_002 view 14515
CohesiveEnergyVsLatticeConstant_sc_Fe__TE_418244980127_002 view 14735
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_C__TE_658794163909_004 view 3152
ElasticConstantsCubic_bcc_Fe__TE_740506315238_004 view 3482
ElasticConstantsCubic_fcc_C__TE_000146156270_004 view 3702
ElasticConstantsCubic_fcc_Fe__TE_943136713920_004 view 3739
ElasticConstantsCubic_sc_C__TE_994329625827_004 view 3079
ElasticConstantsCubic_sc_Fe__TE_828391579283_004 view 3592
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_C__TE_638600582934_003 view 3959
ElasticConstantsHexagonal_hcp_Fe__TE_092069407629_003 view 3189
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_C__TE_035231992677_005 view 1503
LatticeConstantCubicEnergy_bcc_Fe__TE_727622321684_005 view 1539
LatticeConstantCubicEnergy_diamond_C__TE_072855742236_005 view 1686
LatticeConstantCubicEnergy_diamond_Fe__TE_099190649546_005 view 1649
LatticeConstantCubicEnergy_fcc_C__TE_200775201868_005 view 1723
LatticeConstantCubicEnergy_fcc_Fe__TE_342002765394_005 view 2016
LatticeConstantCubicEnergy_sc_C__TE_515273288513_005 view 1649
LatticeConstantCubicEnergy_sc_Fe__TE_839734634070_005 view 1613
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_C__TE_698171651321_004 view 14515
LatticeConstantHexagonalEnergy_hcp_Fe__TE_035924073553_004 view 14111
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_bcc_Fe__TE_493894422725_003 view 11713





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