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EAM_Dynamo_MendelevBorovikov_2020_FeNiCr__MO_922363340570_000

Interatomic potential for Chromium (Cr), Iron (Fe), Nickel (Ni).
Use this Potential

Title
A single sentence description.
Finnis-Sinclair potential for the Fe-Ni-Cr system developed by Mendelev et al. (2020) v000
Description
A short description of the Model describing its key features including for example: type of model (pair potential, 3-body potential, EAM, etc.), modeled species (Ac, Ag, ..., Zr), intended purpose, origin, and so on.
The potential was developed to simulate the plastic deformation in austenitic steels. All pure element have correct melting temperatures. The Ni part is new and different from the Ni potential published in [M.I. Mendelev, M.J. Kramer, S.G. Hao, K.M. Ho and C.Z. Wang, Phil. Mag 92, 4454-4469 (2012), KIM item https://doi.org/10.25950/ebd6cbc4 ]. The Fe part can be used to simulate the fcc phase and the fcc-bcc transition.
Species
The supported atomic species.
Cr, Fe, Ni
Disclaimer
A statement of applicability provided by the contributor, informing users of the intended use of this KIM Item.
None
Content Origin https://www.ctcms.nist.gov/potentials/Download/2019--Mendelev-M-I--Fe-Ni-Cr/1/Fe-Ni-Cr_fcc.eam.fs
Contributor Ronald E. Miller
Maintainer Ronald E. Miller
Developer Mikhail I. Mendelev
Valery Borovikov
Published on KIM 2020
How to Cite

This Model is archived in OpenKIM [1-4].

[1] Mendelev MI, Borovikov V. Finnis-Sinclair potential for the Fe-Ni-Cr system developed by Mendelev et al. (2020) v000. OpenKIM; 2020. doi:10.25950/538764d4

[2] Foiles SM, Baskes MI, Daw MS, Plimpton SJ. EAM Model Driver for tabulated potentials with cubic Hermite spline interpolation as used in LAMMPS v005. OpenKIM; 2018. doi:10.25950/68defa36

[3] 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

[4] 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.
MO_922363340570_000
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_MendelevBorovikov_2020_FeNiCr__MO_922363340570_000
DOI 10.25950/538764d4
https://doi.org/10.25950/538764d4
https://commons.datacite.org/doi.org/10.25950/538764d4
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_005
DriverEAM_Dynamo__MD_120291908751_005
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

(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: Ni
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: Ni
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: Cr
Species: Ni
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: Ni
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: Ni
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.

Species: Ni


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.

Species: Ni


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: Ni
Species: Fe
Species: Cr


Cubic Crystal Basic Properties Table

Species: Cr

Species: Fe

Species: Ni





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 25094
Cohesive energy versus lattice constant curve for bcc Fe v004 view 23990
Cohesive energy versus lattice constant curve for bcc Ni v004 view 21344
Cohesive energy versus lattice constant curve for diamond Cr v004 view 27421
Cohesive energy versus lattice constant curve for diamond Fe v004 view 34402
Cohesive energy versus lattice constant curve for diamond Ni v004 view 36117
Cohesive energy versus lattice constant curve for fcc Cr v004 view 30847
Cohesive energy versus lattice constant curve for fcc Fe v004 view 33172
Cohesive energy versus lattice constant curve for fcc Ni v004 view 22199
Cohesive energy versus lattice constant curve for sc Cr v004 view 25124
Cohesive energy versus lattice constant curve for sc Fe v004 view 55461
Cohesive energy versus lattice constant curve for sc Ni v004 view 37496


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 4900
Elastic constants for bcc Fe at zero temperature v006 view 4771
Elastic constants for bcc Ni at zero temperature v006 view 4449
Elastic constants for diamond Cr at zero temperature v001 view 22632
Elastic constants for diamond Fe at zero temperature v001 view 36914
Elastic constants for fcc Cr at zero temperature v006 view 3836
Elastic constants for fcc Fe at zero temperature v006 view 5771
Elastic constants for fcc Ni at zero temperature v006 view 4804
Elastic constants for sc Cr at zero temperature v006 view 4062
Elastic constants for sc Fe at zero temperature v006 view 5029
Elastic constants for sc Ni at zero temperature v006 view 3933


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 87682
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_cF4_225_a v001 view 146578
Equilibrium crystal structure and energy for Ni in AFLOW crystal prototype A_cF4_225_a v001 view 63166
Equilibrium crystal structure and energy for Cr in AFLOW crystal prototype A_cI2_229_a v001 view 78848
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_cI2_229_a v001 view 79216
Equilibrium crystal structure and energy for Ni in AFLOW crystal prototype A_cI2_229_a v001 view 81424
Equilibrium crystal structure and energy for Cr in AFLOW crystal prototype A_cP8_223_ac v001 view 135241
Equilibrium crystal structure and energy for Cr in AFLOW crystal prototype A_hP2_194_c v001 view 76860
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_hP2_194_c v001 view 75755
Equilibrium crystal structure and energy for Ni in AFLOW crystal prototype A_hP2_194_c v001 view 76050
Equilibrium crystal structure and energy for Cr in AFLOW crystal prototype A_tP28_136_f2ij v001 view 253255
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_tP28_136_f2ij v001 view 148124
Equilibrium crystal structure and energy for CrFe in AFLOW crystal prototype AB2_cF24_227_a_d v001 view 342262
Equilibrium crystal structure and energy for CrNi in AFLOW crystal prototype AB2_cF24_227_a_d v001 view 327096
Equilibrium crystal structure and energy for FeNi in AFLOW crystal prototype AB2_cF24_227_a_d v001 view 298237
Equilibrium crystal structure and energy for CrFe in AFLOW crystal prototype AB3_cF16_225_a_bc v001 view 126480
Equilibrium crystal structure and energy for CrNi in AFLOW crystal prototype AB3_cF16_225_a_bc v001 view 130603
Equilibrium crystal structure and energy for FeNi in AFLOW crystal prototype AB3_cF16_225_a_bc v001 view 133989
Equilibrium crystal structure and energy for CrFe in AFLOW crystal prototype AB3_cP4_221_a_c v001 view 85989
Equilibrium crystal structure and energy for FeNi in AFLOW crystal prototype AB3_cP4_221_a_c v001 view 85842
Equilibrium crystal structure and energy for FeNi in AFLOW crystal prototype AB3_tI8_139_a_bd v001 view 79216
Equilibrium crystal structure and energy for FeNi in AFLOW crystal prototype AB_tP2_123_a_d v001 view 70308


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 300372
Equilibrium crystal structure and energy for CrNi in AFLOW crystal prototype A2B_cF24_227_c_b v002 view 211809
Equilibrium crystal structure and energy for FeNi in AFLOW crystal prototype A2B_cF24_227_c_b v002 view 326654
Equilibrium crystal structure and energy for CrNi in AFLOW crystal prototype A3B_cF16_225_ac_b v002 view 124345
Equilibrium crystal structure and energy for FeNi in AFLOW crystal prototype A3B_cF16_225_ac_b v002 view 171241
Equilibrium crystal structure and energy for CrFe in AFLOW crystal prototype A3B_cP4_221_c_a v002 view 79170
Equilibrium crystal structure and energy for CrNi in AFLOW crystal prototype A3B_cP4_221_c_a v002 view 71191
Equilibrium crystal structure and energy for FeNi in AFLOW crystal prototype A3B_cP4_221_c_a v002 view 74127
Equilibrium crystal structure and energy for CrFe in AFLOW crystal prototype A3B_tI8_139_ad_b v002 view 60395
Equilibrium crystal structure and energy for FeNi in AFLOW crystal prototype A3B_tI8_139_ad_b v002 view 54623


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 18431153
Relaxed energy as a function of tilt angle for a 110 symmetric tilt grain boundary in bcc Fe v001 view 35714773
Relaxed energy as a function of tilt angle for a 111 symmetric tilt grain boundary in bcc Fe v001 view 18889254
Relaxed energy as a function of tilt angle for a 112 symmetric tilt grain boundary in bcc Fe v001 view 94747884
Relaxed energy as a function of tilt angle for a 100 symmetric tilt grain boundary in fcc Fe v001 view 8324235
Relaxed energy as a function of tilt angle for a 100 symmetric tilt grain boundary in fcc Ni v001 view 11393529
Relaxed energy as a function of tilt angle for a 110 symmetric tilt grain boundary in fcc Fe v001 view 25112914
Relaxed energy as a function of tilt angle for a 110 symmetric tilt grain boundary in fcc Ni v001 view 36916723
Relaxed energy as a function of tilt angle for a 111 symmetric tilt grain boundary in fcc Fe v001 view 14603881
Relaxed energy as a function of tilt angle for a 111 symmetric tilt grain boundary in fcc Ni v001 view 12829037
Relaxed energy as a function of tilt angle for a 112 symmetric tilt grain boundary in fcc Fe v001 view 83987122
Relaxed energy as a function of tilt angle for a 112 symmetric tilt grain boundary in fcc Ni v001 view 70375425


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 3224
Equilibrium zero-temperature lattice constant for bcc Fe v007 view 3482
Equilibrium zero-temperature lattice constant for bcc Ni v007 view 3546
Equilibrium zero-temperature lattice constant for diamond Cr v007 view 2934
Equilibrium zero-temperature lattice constant for diamond Fe v007 view 3288
Equilibrium zero-temperature lattice constant for diamond Ni v007 view 3353
Equilibrium zero-temperature lattice constant for fcc Cr v007 view 3417
Equilibrium zero-temperature lattice constant for fcc Fe v007 view 3353
Equilibrium zero-temperature lattice constant for fcc Ni v007 view 3095
Equilibrium zero-temperature lattice constant for sc Cr v007 view 2934
Equilibrium zero-temperature lattice constant for sc Fe v007 view 3095
Equilibrium zero-temperature lattice constant for sc Ni v007 view 2773


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 40621
Equilibrium lattice constants for hcp Fe v005 view 37333
Equilibrium lattice constants for hcp Ni v005 view 34270


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 563712
Linear thermal expansion coefficient of bcc Fe at 293.15 K under a pressure of 0 MPa v002 view 414565
Linear thermal expansion coefficient of fcc Ni at 293.15 K under a pressure of 0 MPa v002 view 1275181


Phonon dispersion relations for an fcc lattice v004

Creators: Matt Bierbaum
Contributor: mattbierbaum
Publication Year: 2019
DOI: https://doi.org/10.25950/64f4999b

Calculates the phonon dispersion relations for fcc lattices and records the results as curves.
Test Test Results Link to Test Results page Benchmark time
Usertime 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)
Phonon dispersion relations for fcc Ni v004 view 68443


Stacking and twinning fault energies of an fcc lattice at zero temperature and pressure v002

Creators:
Contributor: SubrahmanyamPattamatta
Publication Year: 2019
DOI: https://doi.org/10.25950/b4cfaf9a

Intrinsic and extrinsic stacking fault energies, unstable stacking fault energy, unstable twinning energy, stacking fault energy as a function of fractional displacement, and gamma surface for a monoatomic FCC 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)
Stacking and twinning fault energies for fcc Ni v002 view 18826008


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 31626
Broken-bond fit of high-symmetry surface energies in bcc Fe v004 view 57128
Broken-bond fit of high-symmetry surface energies in fcc Ni v004 view 50164


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 337035
Monovacancy formation energy and relaxation volume for bcc Fe view 2019189
Monovacancy formation energy and relaxation volume for fcc Ni view 581455


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 4898487
Vacancy formation and migration energy for bcc Fe view 4944500
Vacancy formation and migration energy for fcc Ni view 1445833





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