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Sim_LAMMPS_EAM_BonnyPasianotTerentyev_2011_FeCr__SM_237089298463_001

Interatomic potential for Chromium (Cr), Iron (Fe).
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Title
A single sentence description.
LAMMPS EAM potential for Fe-Cr developed by Bonny et al. (2011) v001
Citations

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Description We present an Fe–Cr interatomic potential to model high-Cr ferritic alloys. The potential is fitted to thermodynamic and point-defect properties obtained from density functional theory (DFT) calculations and experiments. The developed potential is also benchmarked against other potentials available in literature. It shows particularly good agreement with the DFT obtained mixing enthalpy of the random alloy, the formation energy of intermetallics and experimental excess vibrational entropy and phase diagram. In addition, DFT calculated point-defect properties, both interstitial and substitutional, are well reproduced, as is the screw dislocation core structure. As a first validation of the potential, we study the precipitation hardening of Fe–Cr alloys via static simulations of the interaction between Cr precipitates and screw dislocations. It is concluded that the description of the dislocation core modification near a precipitate might have a significant influence on the interaction mechanisms observed in dynamic simulations.


HISTORY:

Changes in version 001:
* Parameter files updated to match the latest (version 3) in NIST IPRP. This includes changing the values of 'Infinity' and 'NaN' in FeCr_d.eam.alloy to 1e+8 and 0.0, respectively, and adding missing rows of zero values to FeCr_s.eam.fs.
Species
The supported atomic species.
Cr, Fe
Disclaimer
A statement of applicability provided by the contributor, informing users of the intended use of this KIM Item.
The tabulated values of the s-embedding functions and their derivatives may deviate significantly from the corresponding analytical functions as the s-density approaches zero. See Appendix 1 of the Philosophical Magazine article and Appendix C of the technical report for more information.
Content Origin NIST IPRP (https://www.ctcms.nist.gov/potentials/Fe.html#Fe-Cr)
Contributor Daniel S. Karls
Maintainer Daniel S. Karls
Developer Giovanni Bonny
Roberto C Pasianot
D. Terentyev
L. Malerba
Published on KIM 2021
How to Cite

This Simulator Model originally published in [1-2] is archived in OpenKIM [3-5].

[1] Bonny G, Pasianot RC, Terentyev D, Malerba L. Iron chromium potential to model high-chromium ferritic alloys. Philosophical Magazine. 2011;91(12):1724–46. doi:10.1080/14786435.2010.545780 — (Primary Source) A primary source is a reference directly related to the item documenting its development, as opposed to other sources that are provided as background information.

[2] Bonny G, Pasianot R, Terentyev D, Malerba L, Castin N. Interatomic Potential to Simulate Radiation Damage in Fe-Cr Alloys [Internet]. SCK CEN; 2011 Mar. Available from: https://publications.sckcen.be/portal/en/publications/interatomic-potential-to-simulate-radiation-damage-in-fecr-alloys(deceaab5-8760-4600-8ef9-924d028cc7a7).html

[3] Bonny G, Pasianot RC, Terentyev D, Malerba L. LAMMPS EAM potential for Fe-Cr developed by Bonny et al. (2011) v001. OpenKIM; 2021. doi:10.25950/d82afb9f

[4] Tadmor EB, Elliott RS, Sethna JP, Miller RE, Becker CA. The potential of atomistic simulations and the Knowledgebase of Interatomic Models. JOM. 2011;63(7):17. doi:10.1007/s11837-011-0102-6

[5] Elliott RS, Tadmor EB. Knowledgebase of Interatomic Models (KIM) Application Programming Interface (API). OpenKIM; 2011. doi:10.25950/ff8f563a

Click here to download the above citation in BibTeX format.
Funding Not available
Short KIM ID
The unique KIM identifier code.
SM_237089298463_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.
Sim_LAMMPS_EAM_BonnyPasianotTerentyev_2011_FeCr__SM_237089298463_001
DOI 10.25950/d82afb9f
https://doi.org/10.25950/d82afb9f
https://commons.datacite.org/doi.org/10.25950/d82afb9f
KIM Item TypeSimulator Model
KIM API Version2.2
Simulator Name
The name of the simulator as defined in kimspec.edn.
LAMMPS
Potential Type eam
Simulator Potential hybrid/overlay
Run Compatibility portable-models
Programming Language(s)
The programming languages used in the code and the percentage of the code written in each one.
100.00% F#
Previous Version Sim_LAMMPS_EAM_BonnyPasianotTerentyev_2011_FeCr__SM_237089298463_000

(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
N/A 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
N/A 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


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: Cr
Species: Fe


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: Fe
Species: Cr


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: Fe
Species: Cr


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.

Species: Cr
Species: Fe


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: Cr
Species: Fe


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.

Species: Cr
Species: Fe


Cubic Crystal Basic Properties Table

Species: Cr

Species: Fe



Disclaimer From Model Developer

The tabulated values of the s-embedding functions and their derivatives may deviate significantly from the corresponding analytical functions as the s-density approaches zero. See Appendix 1 of the Philosophical Magazine article and Appendix C of the technical report for more information.



Cohesive energy versus lattice constant curve for monoatomic cubic lattices v003

Creators:
Contributor: karls
Publication Year: 2019
DOI: https://doi.org/10.25950/64cb38c5

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 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 Cr v004 view 38332
Cohesive energy versus lattice constant curve for bcc Fe v004 view 43186
Cohesive energy versus lattice constant curve for diamond Cr v004 view 41017
Cohesive energy versus lattice constant curve for diamond Fe v004 view 40023
Cohesive energy versus lattice constant curve for fcc Cr v004 view 48737
Cohesive energy versus lattice constant curve for fcc Fe v004 view 41952
Cohesive energy versus lattice constant curve for sc Cr v004 view 50430
Cohesive energy versus lattice constant curve for sc Fe v004 view 47671


Elastic constants for cubic crystals at zero temperature and pressure v006

Creators: Junhao Li and Ellad Tadmor
Contributor: tadmor
Publication Year: 2019
DOI: https://doi.org/10.25950/5853fb8f

Computes the cubic elastic constants for some common crystal types (fcc, bcc, sc, diamond) 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 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 Cr at zero temperature v006 view 190572
Elastic constants for bcc Fe at zero temperature v006 view 195566
Elastic constants for diamond Cr at zero temperature v001 view 388710
Elastic constants for diamond Fe at zero temperature v001 view 711656
Elastic constants for fcc Cr at zero temperature v006 view 279764
Elastic constants for fcc Fe at zero temperature v006 view 170166
Elastic constants for sc Cr at zero temperature v006 view 184273
Elastic constants for sc Fe at zero temperature v006 view 212227


Equilibrium structure and energy for a crystal structure at zero temperature and pressure v001

Creators:
Contributor: ilia
Publication Year: 2023
DOI: https://doi.org/10.25950/e8a7ed84

Computes the equilibrium crystal structure and energy for an arbitrary crystal at zero temperature and applied stress by performing symmetry-constrained relaxation. The crystal structure is specified using the AFLOW prototype designation. Multiple sets of free parameters corresponding to the crystal prototype may be specified as initial guesses for structure optimization. No guarantee is made regarding the stability of computed equilibria, nor that any are the ground state.
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 crystal structure and energy for Cr in AFLOW crystal prototype A_cF4_225_a v001 view 109915
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_cF4_225_a v001 view 208199
Equilibrium crystal structure and energy for Cr in AFLOW crystal prototype A_cI2_229_a v001 view 102112
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_cI2_229_a v001 view 99020
Equilibrium crystal structure and energy for Cr in AFLOW crystal prototype A_cP8_223_ac v001 view 229990
Equilibrium crystal structure and energy for Cr in AFLOW crystal prototype A_hP2_194_c v001 view 109179
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_hP2_194_c v001 view 113302
Equilibrium crystal structure and energy for Cr in AFLOW crystal prototype A_tP28_136_f2ij v001 view 1109461
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_tP28_136_f2ij v001 view 803936
Equilibrium crystal structure and energy for CrFe in AFLOW crystal prototype AB2_cF24_227_a_d v001 view 836623
Equilibrium crystal structure and energy for CrFe in AFLOW crystal prototype AB3_cF16_225_a_bc v001 view 226530
Equilibrium crystal structure and energy for CrFe in AFLOW crystal prototype AB3_cP4_221_a_c v001 view 111020


Equilibrium structure and energy for a crystal structure at zero temperature and pressure v002

Creators:
Contributor: ilia
Publication Year: 2024
DOI: https://doi.org/10.25950/2f2c4ad3

Computes the equilibrium crystal structure and energy for an arbitrary crystal at zero temperature and applied stress by performing symmetry-constrained relaxation. The crystal structure is specified using the AFLOW prototype designation. Multiple sets of free parameters corresponding to the crystal prototype may be specified as initial guesses for structure optimization. No guarantee is made regarding the stability of computed equilibria, nor that any are the ground state.
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 crystal structure and energy for CrFe in AFLOW crystal prototype A2B_cF24_227_c_b v002 view 276701
Equilibrium crystal structure and energy for CrFe in AFLOW crystal prototype A3B_cP4_221_c_a v002 view 128983


Relaxed energy as a function of tilt angle for a symmetric tilt grain boundary within a cubic crystal v003

Creators:
Contributor: brunnels
Publication Year: 2022
DOI: https://doi.org/10.25950/2c59c9d6

Computes grain boundary energy for a range of tilt angles given a crystal structure, tilt axis, and material.
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)
Relaxed energy as a function of tilt angle for a 100 symmetric tilt grain boundary in bcc Fe v001 view 5308926
Relaxed energy as a function of tilt angle for a 110 symmetric tilt grain boundary in bcc Fe v001 view 14902818
Relaxed energy as a function of tilt angle for a 111 symmetric tilt grain boundary in bcc Fe v001 view 7065559
Relaxed energy as a function of tilt angle for a 112 symmetric tilt grain boundary in bcc Fe v001 view 26745779
Relaxed energy as a function of tilt angle for a 100 symmetric tilt grain boundary in fcc Fe v001 view 21131699
Relaxed energy as a function of tilt angle for a 110 symmetric tilt grain boundary in fcc Fe v001 view 193071420
Relaxed energy as a function of tilt angle for a 111 symmetric tilt grain boundary in fcc Fe v001 view 142521643
Relaxed energy as a function of tilt angle for a 112 symmetric tilt grain boundary in fcc Fe v001 view 474387953


Equilibrium lattice constant and cohesive energy of a cubic lattice at zero temperature and pressure v007

Creators: Daniel S. Karls and Junhao Li
Contributor: karls
Publication Year: 2019
DOI: https://doi.org/10.25950/2765e3bf

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 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 Cr v007 view 596986
Equilibrium zero-temperature lattice constant for bcc Fe v007 view 370894
Equilibrium zero-temperature lattice constant for diamond Cr v007 view 267090
Equilibrium zero-temperature lattice constant for diamond Fe v007 view 172225
Equilibrium zero-temperature lattice constant for fcc Cr v007 view 354569
Equilibrium zero-temperature lattice constant for fcc Fe v007 view 231422
Equilibrium zero-temperature lattice constant for sc Cr v007 view 243180
Equilibrium zero-temperature lattice constant for sc Fe v007 view 216401


Equilibrium lattice constants for hexagonal bulk structures at zero temperature and pressure v005

Creators: Daniel S. Karls and Junhao Li
Contributor: karls
Publication Year: 2019
DOI: https://doi.org/10.25950/c339ca32

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 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 Cr v005 view 4256835
Equilibrium lattice constants for hcp Fe v005 view 3838679


Linear thermal expansion coefficient of cubic crystal structures v002

Creators:
Contributor: mjwen
Publication Year: 2024
DOI: https://doi.org/10.25950/9d9822ec

This Test Driver uses LAMMPS to compute the linear thermal expansion coefficient at a finite temperature under a given pressure for a 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 Cr at 293.15 K under a pressure of 0 MPa v002 view 408489
Linear thermal expansion coefficient of bcc Fe at 293.15 K under a pressure of 0 MPa v002 view 445675


High-symmetry surface energies in cubic lattices and broken bond model v004

Creators: Matt Bierbaum
Contributor: mattbierbaum
Publication Year: 2019
DOI: https://doi.org/10.25950/6c43a4e6

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 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 Cr v004 view 3782006
Broken-bond fit of high-symmetry surface energies in bcc Fe v004 view 3966704


Monovacancy formation energy and relaxation volume for cubic and hcp monoatomic crystals v001

Creators:
Contributor: efuem
Publication Year: 2023
DOI: https://doi.org/10.25950/fca89cea

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 Cr view 41454894
Monovacancy formation energy and relaxation volume for bcc Fe view 33225668


Vacancy formation and migration energies for cubic and hcp monoatomic crystals v001

Creators:
Contributor: efuem
Publication Year: 2023
DOI: https://doi.org/10.25950/c27ba3cd

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 Cr view 50988012
Vacancy formation and migration energy for bcc Fe view 121878222




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