EAM-type potential for FeC

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EAM_Dynamo_Hepburn_Ackland_FeC__MO_143977152728_004

There is a newer version of this item. See EAM_Dynamo_HepburnAckland_2008_FeC__MO_143977152728_005

Interatomic potential for Carbon (C), Iron (Fe).
Use this Potential

Title A single sentence description.	EAM-type potential for FeC
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. EAM_Dynamo_Ackland_Mendelev_FeP
Species The supported atomic species.	C, Fe
Disclaimer A statement of applicability provided by the contributor, informing 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	Graeme J. Ackland
Maintainer	Graeme J. Ackland
Published on KIM	2018
How to Cite	Click here to download this citation in BibTeX format.
Funding	Not available

Short KIM ID The unique KIM identifier code.	MO_143977152728_004
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_Hepburn_Ackland_FeC__MO_143977152728_004
Citable Link	https://openkim.org/cite/MO_143977152728_004
KIM Item Type Specifies whether this is a Portable Model (software implementation of an interatomic model); Portable Model with parameter file (parameter file to be read in by a Model Driver); Model Driver (software implementation of an interatomic model that reads in parameters).	Portable Model using Model Driver EAM_Dynamo__MD_120291908751_004
Driver	EAM_Dynamo__MD_120291908751_004
KIM API Version	1.6
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_Hepburn_Ackland_FeC__MO_143977152728_003

Verification Check Dashboard

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Grade	Name	Category	Brief Description	Full Results	Aux File(s)
P All elements claimed by model are supported in at least one of the tested configrations.	vc-species-supported-as-stated	mandatory	The model supports all species it claims to support; see full description.	Results	Files
P Periodic boundary conditions were correctly supported for all configurations that the model was able to compute.	vc-periodicity-support	mandatory	Periodic boundary conditions are handled correctly; see full description.	Results	Files
P Model energy has permutation symmetry for all configurations the model was able to compute.	vc-permutation-symmetry	mandatory	Total energy and forces are unchanged when swapping atoms of the same species; see full description.	Results	Files
F The letter grade F was assigned because the normalized error in the computation was 1.20731e+00 compared with a machine precision of 2.22045e-16. The letter grade was based on 'score=log10(error/eps)', with ranges A=[0, 7.5], B=(7.5, 10.0], C=(10.0, 12.5], D=(12.5, 15.0), F>15.0. 'A' is the best grade, and 'F' indicates failure.	vc-forces-numerical-derivative	consistency	Forces computed by the model agree with numerical derivatives of the energy; see full description.	Results	Files
F The model is C^0 continuous. This means that the model has continuous energy, but a discontinuous first derivative.	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 Model energy and forces are invariant with respect to rigid-body motion (translation and rotation) for all configurations the model was able to compute.	vc-objectivity	informational	Total energy is unchanged and forces transform correctly under rigid-body translation and rotation; see full description.	Results	Files
P Model energy has inversion symmetry for all configurations the model was able to compute.	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 No memory leak detected.	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 All threads give identical results for tested case. Model appears to be thread safe.	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

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.

(No matching species)

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.

(No matching species)

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.

(No matching species)

Dislocation Core Energies

This graph shows the dislocation core energy of a cubic crystal at zero temperature and pressure for a specific set of dislocation core cutoff radii. After obtaining the total energy of the system from conjugate gradient minimizations, non-singular, isotropic and anisotropic elasticity are applied to obtain the dislocation core energy for each of these supercells with different dipole distances. Graphs are generated for each species supported by the model.

(No matching species)

FCC Elastic Constants

This bar chart plot shows the mono-atomic face-centered cubic (fcc) elastic constants predicted by the current model (shown in blue) 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.

(No matching species)

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.

(No matching species)

FCC Stacking Fault Energies

This bar chart plot shows the intrinsic and extrinsic stacking fault energies as well as the unstable stacking and unstable twinning energies for face-centered cubic (fcc) predicted by the current model (shown in blue) 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.

(No matching species)

FCC Surface Energies

This bar chart plot shows the mono-atomic face-centered cubic (fcc) relaxed surface energies predicted by the current model (shown in blue) 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.

(No matching species)

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.

(No matching species)

Cubic Crystal Basic Properties Table

Species: C

Species: Fe

Tests

Disclaimer From Model Developer

Does not describe cementite.
Does not describe Carbon.

CohesiveEnergyVsLatticeConstant__TD_554653289799_001

Cohesive energy versus lattice constant curve for monoatomic cubic lattice

Creators: Daniel Karls
Contributor: karls
Publication Year: 2016
DOI: https://doi.org/

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	Link to Test Results page	Benchmark time Usertime multiplied 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)
Cohesive energy versus lattice constant curve for bcc Carbon	view	12382
Cohesive energy versus lattice constant curve for bcc Iron	view	10982
Cohesive energy versus lattice constant curve for diamond Carbon	view	11054
Cohesive energy versus lattice constant curve for diamond Iron	view	11843
Cohesive energy versus lattice constant curve for fcc Carbon	view	10336
Cohesive energy versus lattice constant curve for fcc Iron	view	12776
Cohesive energy versus lattice constant curve for sc Carbon	view	12812
Cohesive energy versus lattice constant curve for sc Iron	view	11520

ElasticConstantsCubic__TD_011862047401_003

Elastic constants for cubic crystals at zero temperature

Creators: Junhao Li
Contributor: jl2922
Publication Year: 2017
DOI: https://doi.org/

Measures the cubic elastic constants for some common crystal types (fcc, bcc, sc) by calculating the hessian of the energy density with respect to strain. Error estimate is reported due to the numerical differentiation.

This version fixes the number of repeats in the species key.

Test	Link to Test Results page	Benchmark time Usertime multiplied 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)
Elastic constants for bcc C at zero temperature	view	1687
Elastic constants for bcc Fe at zero temperature	view	2082
Elastic constants for fcc C at zero temperature	view	1866
Elastic constants for fcc Fe at zero temperature	view	2082
Elastic constants for sc C at zero temperature	view	1902
Elastic constants for sc Fe at zero temperature	view	1759

ElasticConstantsHexagonal__TD_612503193866_002

Elastic constants for hexagonal crystals at zero temperature

Creators: Junhao Li
Contributor: jl2922
Publication Year: 2017
DOI: https://doi.org/

Measures the hexagonal elastic constants for hcp structure by calculating the hessian of the energy density with respect to strain. Error estimate is reported due to the numerical differentiation.

This version fixes the number of repeats in the species key and the coordinate of the 2nd atom in the normed basis.

Test	Test Results	Link to Test Results page	Benchmark time Usertime multiplied 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)
Elastic constants for hcp C at zero temperature		view	1830
Elastic constants for hcp Fe at zero temperature		view	1579

LatticeConstantCubicEnergy__TD_475411767977_004

Equilibrium lattice constants for bulk cubic structures

Creators: Junhao Li
Contributor: jl2922
Publication Year: 2018
DOI: https://doi.org/

Equilibrium lattice constant and cohesive energy of a cubic lattice at zero temperature and pressure.

Test	Link to Test Results page	Benchmark time Usertime multiplied 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)
Equilibrium zero-temperature lattice constant for bcc C	view	897
Equilibrium zero-temperature lattice constant for bcc Fe	view	754
Equilibrium zero-temperature lattice constant for diamond C	view	790
Equilibrium zero-temperature lattice constant for diamond Fe	view	825
Equilibrium zero-temperature lattice constant for fcc C	view	897
Equilibrium zero-temperature lattice constant for fcc Fe	view	754
Equilibrium zero-temperature lattice constant for sc C	view	897
Equilibrium zero-temperature lattice constant for sc Fe	view	969

LatticeConstantHexagonalEnergy__TD_942334626465_003

Equilibrium lattice constants for hexagonal bulk structures

Creators: Junhao Li
Contributor: jl2922
Publication Year: 2017
DOI: https://doi.org/

Calculates lattice constant by minimizing energy function.

This version fixes the output format problems in species and stress, and adds support for PURE and OPBC neighbor lists. The cell used for calculation is switched from a hexagonal one to an orthorhombic one to comply with the requirement of OPBC.

Test	Test Results	Link to Test Results page	Benchmark time Usertime multiplied 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)
Equilibrium lattice constants for hcp C		view	5240
Equilibrium lattice constants for hcp Fe		view	5132

LinearThermalExpansionCoeffCubic__TD_522633393614_000

Linear thermal expansion coefficient of a cubic crystal structure at a given temperature and pressure v000

Creators: Mingjian Wen
Contributor: mjwen
Publication Year: 2016
DOI: https://doi.org/

This Test Driver uses LAMMPS to compute the linear thermal expansion coefficient at a finite temperature under a given pressure for cubic lattice (fcc, bcc, sc, diamond) of a single given species.

Test	Test Results	Link to Test Results page	Benchmark time Usertime multiplied 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)
Linear thermal expansion coefficient of bcc Fe at room temperature under zero pressure		view	3344568

SurfaceTest__TD_955413365818_002

Broken-bond fit of high-symmetry surface energies in cubic crystal lattices

Creators: Matt Bierbaum
Contributor: mattbierbaum
Publication Year: 2017
DOI: https://doi.org/

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 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 multiplied 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)
Broken-bond fit of high-symmetry surface energies in bcc Fe		view	24620

VacancyFormationEnergyRelaxationVolume__TD_647413317626_000

Monovacancy formation energy and relaxation volume for cubic and hcp monoatomic crystals

Creators: Junhao Li
Contributor: jl2922
Publication Year: 2018
DOI: https://doi.org/

Computes the monovacancy formation energy and relaxation volume for cubic and hcp monoatomic crystals.

Test	Test Results	Link to Test Results page	Benchmark time Usertime multiplied 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)
Monovacancy formation energy and relaxation volume for bcc Fe		view	273725

VacancyFormationMigration__TD_554849987965_000

Vacancy formation and migration energies for cubic and hcp monoatomic crystals

Creators:
Contributor: jl2922
Publication Year: 2018
DOI: https://doi.org/

Computes the monovacancy formation and migration energies for cubic and hcp monoatomic crystals.

Test	Test Results	Link to Test Results page	Benchmark time Usertime multiplied 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)
Vacancy formation and migration energy for bcc Fe		view	385125

Errors

ElasticConstantsFirstStrainGradient__TD_361847723785_000

Test	Error Categories	Link to Error page
Classical and first strain gradient elastic constants for bcc iron	other	view
Classical and first strain gradient elastic constants for bcc iron	other	view

LatticeConstant2DHexagonalEnergy__TD_034540307932_000

Test	Error Categories	Link to Error page
Cohesive energy and equilibrium lattice constant of graphene	other	view

LinearThermalExpansionCoeffCubic__TD_522633393614_000

Test	Error Categories	Link to Error page
Linear thermal expansion coefficient of diamond C at room temperature under zero pressure	other	view

Files

Fe-C_Hepburn_Ackland.eam.fs
LICENSE.CDDL
Makefile
kimprovenance.edn
kimspec.edn

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EAM_Dynamo_Hepburn_Ackland_FeC__MO_143977152728_004.txz	Tar+XZ	Linux and OS X archive
EAM_Dynamo_Hepburn_Ackland_FeC__MO_143977152728_004.zip	Zip	Windows archive

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EAM_Dynamo__MD_120291908751_004.txz	Tar+XZ	Linux and OS X archive
EAM_Dynamo__MD_120291908751_004.zip	Zip	Windows archive

Wiki

**Notes:**

The following potentials share identical (or approximately identical) Fe-Fe interactions with this potential:

* [EAM_Dynamo_Ackland_Mendelev_FeP__MO_884343146310_004](https://openkim.org/cite/MO_884343146310_004)
* [EAM_Dynamo_Mendelev_Han_VFe__MO_249706810527_004](https://openkim.org/cite/MO_249706810527_004)
* [EAM_Dynamo_Mendelev_Srolovitz_AlFe__MO_577453891941_004](https://openkim.org/cite/MO_577453891941_004)

**Data used in fitting:**

The Fe-C and C-C interactions were fitted to ab initio data [1] for "...energetics and local geometries of carbon in pure $$\alpha$$-Fe (which has a body-centered cubic crystal structure), and the binding of carbon to vacancy and <110> self-interstitial type crystal defects."  Additionally used in the fitting process was a value of 6.27 eV for the solvation energy of atomic carbon in $$\alpha$$-Fe, which was inferred from experiment.  Please refer to  [EAM_Dynamo_Ackland_Mendelev_FeP__MO_884343146310_004](https://openkim.org/cite/MO_884343146310_004) for properties used to fit Fe-Fe interactions.

[1] C. Domain, C. S. Becquart, and J. Foct, Phys. Rev. B 69, 144112 (2004).

**Source citation DOI:**

* "Metallic-covalent interatomic potential for carbon in iron" D.J.Hepburn and G.J.Ackland Physical Review B, 78, 16, 165115 (2008).
    - http://dx.doi.org/10.1103/PhysRevB.78.165115

Wiki Contributors

2018-05-18T16:53:40.516980	karls

EAM_Dynamo_Hepburn_Ackland_FeC__MO_143977152728_004

Verification Check Dashboard

Visualizers (in-page)

BCC Lattice Constant

Cohesive Energy Graph

Diamond Lattice Constant

Dislocation Core Energies

FCC Elastic Constants

FCC Lattice Constant

FCC Stacking Fault Energies

FCC Surface Energies

SC Lattice Constant

Cubic Crystal Basic Properties Table

Tests

Disclaimer From Model Developer

Errors

Files

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