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EAM_Dynamo_HepburnAckland_2008_FeC__MO_143977152728_006

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

Title
A single sentence description.
EAM potential (LAMMPS cubic hermite tabulation) for the FeC system developed by Ackland and Hepburn (2008) v006
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 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
Developer Derek J. Hepburn
Graeme J. Ackland
Published on KIM 2025
How to Cite

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

[1] Hepburn DJ, Ackland GJ. Metallic-covalent interatomic potential for carbon in iron. Physical Review B. 2008Oct;78(16):165115. doi:10.1103/PhysRevB.78.165115 — (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] Hepburn DJ, Ackland GJ. EAM potential (LAMMPS cubic hermite tabulation) for the FeC system developed by Ackland and Hepburn (2008) v006. OpenKIM; 2025. doi:10.25950/ba9f3da4

[3] Foiles SM, Baskes MI, Daw MS, Plimpton SJ. EAM Model Driver for tabulated potentials with cubic Hermite spline interpolation as used in LAMMPS v006. OpenKIM; 2025. doi:10.25950/233cb735

[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

Funding Not available
Short KIM ID
The unique KIM identifier code.
MO_143977152728_006
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_006
DOI 10.25950/ba9f3da4
https://doi.org/10.25950/ba9f3da4
https://commons.datacite.org/doi.org/10.25950/ba9f3da4
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_006
DriverEAM_Dynamo__MD_120291908751_006
KIM API Version2.0
Potential Type eam
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_005

(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
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
P vc-unit-conversion mandatory
The model is able to correctly convert its energy and/or forces to different unit sets; 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: Fe
Species: C


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: C


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


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: C
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: Fe
Species: C


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: Fe


Cubic Crystal Basic Properties Table

Species: C

Species: Fe



Disclaimer From Model Developer

Does not describe cementite. Does not describe Carbon.



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 C v004 view 74465
Cohesive energy versus lattice constant curve for bcc Fe v004 view 83340
Cohesive energy versus lattice constant curve for diamond C v004 view 65658
Cohesive energy versus lattice constant curve for diamond Fe v004 view 86400
Cohesive energy versus lattice constant curve for fcc C v004 view 66378
Cohesive energy versus lattice constant curve for fcc Fe v004 view 70542
Cohesive energy versus lattice constant curve for sc Fe v004 view 68060


Crystal structure and binding potential versus applied hydrostatic pressure v000

Creators:
Contributor: ilia
Publication Year: 2025
DOI: https://doi.org/10.25950/687267bf

This Test Driver computes the crystal structure and binding potential versus applied hydrostatic pressure for an arbitrary crystal. The crystal structure is specified using the AFLOW prototype designation. A scan over negative and positive hydrostatic pressures is performed, with a symmetry-constrained minimization of the cell and internal degrees of freedom at each step. Binding potential energy, volume, mass density, and the cell and internal crystal structure parameters are reported at each pressure step.
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)
Crystal structure and binding potential versus applied hydrostatic pressure for CFe in AFLOW crystal prototype A2B5_mC28_15_f_e2f v000 view 30468900
Crystal structure and binding potential versus applied hydrostatic pressure for CFe in AFLOW crystal prototype A3B7_hP20_186_c_b2c v000 view 14933220
Crystal structure and binding potential versus applied hydrostatic pressure for CFe in AFLOW crystal prototype A6B23_cF116_225_e_acfh v000 view 150733433
Crystal structure and binding potential versus applied hydrostatic pressure for CFe in AFLOW crystal prototype AB2_hP3_191_a_c v000 view 4731000
Crystal structure and binding potential versus applied hydrostatic pressure for CFe in AFLOW crystal prototype AB2_oP12_62_c_2c v000 view 10849860
Crystal structure and binding potential versus applied hydrostatic pressure for CFe in AFLOW crystal prototype AB2_oP6_58_a_g v000 view 13905600
Crystal structure and binding potential versus applied hydrostatic pressure for CFe in AFLOW crystal prototype AB3_hP8_182_c_g v000 view 7810448
Crystal structure and binding potential versus applied hydrostatic pressure for CFe in AFLOW crystal prototype AB3_oP16_62_c_cd v000 view 21509898
Crystal structure and binding potential versus applied hydrostatic pressure for CFe in AFLOW crystal prototype AB3_tI32_82_g_3g v000 view 14488380
Crystal structure and binding potential versus applied hydrostatic pressure for CFe in AFLOW crystal prototype AB4_cP5_215_a_e v000 view 5208660
Crystal structure and binding potential versus applied hydrostatic pressure for CFe in AFLOW crystal prototype AB4_mP10_11_e_4e v000 view 13687040
Crystal structure and binding potential versus applied hydrostatic pressure for CFe in AFLOW crystal prototype AB4_tI10_87_a_h v000 view 6718560


Elastic constants for arbitrary crystals at zero temperature and pressure v001

Creators:
Contributor: ilia
Publication Year: 2025
DOI: https://doi.org/10.25950/922d328f

Computes the elastic constants for an arbitrary crystal. A robust computational protocol is used, attempting multiple methods and step sizes to achieve an acceptably low error in numerical differentiation and deviation from material symmetry. The crystal structure is specified using the AFLOW prototype designation as part of the Crystal Genome testing framework. In addition, the distance from the obtained elasticity tensor to the nearest isotropic tensor is computed.
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 CFe in AFLOW crystal prototype A2B5_mC28_15_f_e2f at zero temperature and pressure v001 view 6382800
Elastic constants for CFe in AFLOW crystal prototype A3B7_hP20_186_c_b2c at zero temperature and pressure v001 view 4920660
Elastic constants for CFe in AFLOW crystal prototype A6B23_cF116_225_e_acfh at zero temperature and pressure v001 view 5490060
Elastic constants for CFe in AFLOW crystal prototype AB2_hP3_191_a_c at zero temperature and pressure v001 view 749820
Elastic constants for CFe in AFLOW crystal prototype AB2_oP12_62_c_2c at zero temperature and pressure v001 view 2421300
Elastic constants for CFe in AFLOW crystal prototype AB2_oP6_58_a_g at zero temperature and pressure v001 view 1637596
Elastic constants for CFe in AFLOW crystal prototype AB3_hP8_182_c_g at zero temperature and pressure v001 view 2018100
Elastic constants for CFe in AFLOW crystal prototype AB3_oP16_62_c_cd at zero temperature and pressure v001 view 6393360
Elastic constants for CFe in AFLOW crystal prototype AB3_tI32_82_g_3g at zero temperature and pressure v001 view 13002199
Elastic constants for CFe in AFLOW crystal prototype AB4_cP5_215_a_e at zero temperature and pressure v001 view 956198
Elastic constants for CFe in AFLOW crystal prototype AB4_mP10_11_e_4e at zero temperature and pressure v001 view 1980296
Elastic constants for CFe in AFLOW crystal prototype AB4_tI10_87_a_h at zero temperature and pressure v001 view 1110414


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 C at zero temperature v006 view 22820
Elastic constants for bcc Fe at zero temperature v006 view 24300
Elastic constants for diamond C at zero temperature v001 view 128700
Elastic constants for diamond Fe at zero temperature v001 view 40500
Elastic constants for fcc C at zero temperature v006 view 18576
Elastic constants for fcc Fe at zero temperature v006 view 25200
Elastic constants for sc Fe at zero temperature v006 view 21539


Equilibrium structure and energy for a crystal structure at zero temperature and pressure v003

Creators:
Contributor: ilia
Publication Year: 2025
DOI: https://doi.org/10.25950/866c7cfa

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 CFe in AFLOW crystal prototype A2B5_mC28_15_f_e2f v003 view 835440
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype A3B7_hP20_186_c_b2c v003 view 371160
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype A6B23_cF116_225_e_acfh v003 view 2207135
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cF16_227_c v003 view 471453
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cF240_202_h2i v003 view 8892000
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_cF4_225_a v003 view 506924
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cF8_227_a v003 view 456640
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cI16_206_c v003 view 298982
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cI16_229_f v003 view 225558
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_cI2_229_a v003 view 178320
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cI8_214_a v003 view 206880
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cP1_221_a v003 view 183840
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cP20_221_gj v003 view 479340
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hP12_194_bc2f v003 view 719911
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hP12_194_e2f v003 view 319800
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hP16_194_e3f v003 view 702296
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hP2_191_c v003 view 368580
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_hP2_194_c v003 view 201120
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hP4_194_bc v003 view 194811
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hP4_194_f v003 view 240300
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hP8_194_ef v003 view 247097
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_mC16_12_4i v003 view 373140
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_oC16_65_pq v003 view 264792
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_oC8_65_gh v003 view 223796
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_oI120_71_lmn6o v003 view 2892600
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_oP16_62_4c v003 view 291936
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_tI8_139_h v003 view 220754
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_tP28_136_f2ij v003 view 530065
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB2_hP3_191_a_c v003 view 303306
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB2_oP12_62_c_2c v003 view 359275
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB2_oP6_58_a_g v003 view 365340
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB3_hP8_182_c_g v003 view 264000
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB3_oP16_62_c_cd v003 view 822561
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB3_tI32_82_g_3g v003 view 388100
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB4_cP5_215_a_e v003 view 252060
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB4_mP10_11_e_4e v003 view 407958
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB4_tI10_87_a_h v003 view 304587


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 6858540
Relaxed energy as a function of tilt angle for a 110 symmetric tilt grain boundary in bcc Fe v001 view 18434460
Relaxed energy as a function of tilt angle for a 111 symmetric tilt grain boundary in bcc Fe v001 view 7324422
Relaxed energy as a function of tilt angle for a 112 symmetric tilt grain boundary in bcc Fe v001 view 28636680
Relaxed energy as a function of tilt angle for a 100 symmetric tilt grain boundary in fcc Fe v001 view 19028923
Relaxed energy as a function of tilt angle for a 110 symmetric tilt grain boundary in fcc Fe v001 view 106279258
Relaxed energy as a function of tilt angle for a 111 symmetric tilt grain boundary in fcc Fe v001 view 67169940
Relaxed energy as a function of tilt angle for a 112 symmetric tilt grain boundary in fcc Fe v001 view 246388256


Cohesive energy and equilibrium lattice constant of hexagonal 2D crystalline layers v002

Creators: Ilia Nikiforov
Contributor: ilia
Publication Year: 2019
DOI: https://doi.org/10.25950/dd36239b

Given atomic species and structure type (graphene-like, 2H, or 1T) of a 2D hexagonal monolayer crystal, as well as an initial guess at the lattice spacing, this Test Driver calculates the equilibrium lattice spacing and cohesive energy using Polak-Ribiere conjugate gradient minimization in LAMMPS
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 and equilibrium lattice constant of graphene v002 view 3203


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 C v007 view 26100
Equilibrium zero-temperature lattice constant for bcc Fe v007 view 25382
Equilibrium zero-temperature lattice constant for diamond C v007 view 24261
Equilibrium zero-temperature lattice constant for diamond Fe v007 view 27540
Equilibrium zero-temperature lattice constant for fcc C v007 view 21219
Equilibrium zero-temperature lattice constant for fcc Fe v007 view 26460
Equilibrium zero-temperature lattice constant for sc Fe v007 view 29040


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 C v005 view 96004
Equilibrium lattice constants for hcp Fe v005 view 271800


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 Fe at 293.15 K under a pressure of 0 MPa v002 view 441027
Linear thermal expansion coefficient of diamond C at 293.15 K under a pressure of 0 MPa v002 view 2387880


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 Fe v004 view 110220


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 Fe view 747420


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 Fe view 2957153




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