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Sim_LAMMPS_MEAM_KimJungLee_2009_FeTiC__SM_531038274471_000

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

Title
A single sentence description.
LAMMPS MEAM potential for Fe-Ti-C developed by Kim, Jung, and Lee (2009) v000
Description Modified embedded-atom method (MEAM) interatomic potentials for the Fe–Ti–C and Fe–Ti–N ternary systems have been developed based on the previously developed MEAM potentials for sub-unary and binary systems. An attempt was made to find a way to determine ternary potential parameters using the corresponding binary parameters. The calculated coherent interface properties, interfacial energy, work of separation and misfit strain energy between body-centered cubic Fe and NaCl-type TiC or TiN were reasonable when compared with relevant first-principles calculations under the same condition. The applicability of the present potentials for atomistic simulations to investigate nucleation kinetics of TiC or TiN precipitates and their effects on mechanical properties in steels is also demonstrated.
Species
The supported atomic species.
C, Fe, Ti
Disclaimer
A statement of applicability provided by the contributor, informing users of the intended use of this KIM Item.
None
Content Origin NIST IPRP (https://www.ctcms.nist.gov/potentials/Fe.html#Fe-Ti-C)
Contributor Daniel S. Karls
Maintainer Daniel S. Karls
Developer Hyun-Kyu Kim
Woo-Sang Jung
Byeong-Joo Lee
Published on KIM 2019
How to Cite

This Simulator Model originally published in [1] is archived in OpenKIM [2-4].

[1] Kim H-K, Jung W-S, Lee B-J. Modified embedded-atom method interatomic potentials for the Fe–Ti–C and Fe–Ti–N ternary systems. Acta Materialia. 2009;57(11):3140–7. doi:10.1016/j.actamat.2009.03.019 — (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] Kim H-K, Jung W-S, Lee B-J. LAMMPS MEAM potential for Fe-Ti-C developed by Kim, Jung, and Lee (2009) v000. OpenKIM; 2019. doi:10.25950/82f4fba9

[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.
Citations

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This panel provides information on past usage of this interatomic potential (IP) powered by the OpenKIM Deep Citation framework. The word cloud indicates typical applications of the potential. The bar chart shows citations per year of this IP (bars are divided into articles that used the IP (green) and those that did not (blue)). The complete list of articles that cited this IP is provided below along with the Deep Citation determination on usage. See the Deep Citation documentation for more information.

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Funding Not available
Short KIM ID
The unique KIM identifier code.
SM_531038274471_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.
Sim_LAMMPS_MEAM_KimJungLee_2009_FeTiC__SM_531038274471_000
DOI 10.25950/82f4fba9
https://doi.org/10.25950/82f4fba9
https://commons.datacite.org/doi.org/10.25950/82f4fba9
KIM Item TypeSimulator Model
KIM API Version2.1
Simulator Name
The name of the simulator as defined in kimspec.edn.
LAMMPS
Potential Type meam
Simulator Potential meam/c
Run Compatibility portable-models

(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
A 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
F 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: C
Species: Fe
Species: Ti


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: Ti
Species: C
Species: Fe


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: C
Species: Ti


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: Fe
Species: Ti
Species: C


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: Ti
Species: C
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: Fe
Species: C
Species: Ti


Cubic Crystal Basic Properties Table

Species: C

Species: Fe

Species: Ti





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 v003 view 4127
Cohesive energy versus lattice constant curve for bcc Fe v004 view 6920
Cohesive energy versus lattice constant curve for bcc Ti v003 view 3967
Cohesive energy versus lattice constant curve for diamond C v003 view 4159
Cohesive energy versus lattice constant curve for diamond Fe v004 view 7161
Cohesive energy versus lattice constant curve for diamond Ti v004 view 7191
Cohesive energy versus lattice constant curve for fcc C v004 view 6920
Cohesive energy versus lattice constant curve for fcc Fe v004 view 7141
Cohesive energy versus lattice constant curve for fcc Ti v004 view 7068
Cohesive energy versus lattice constant curve for sc C v004 view 7068
Cohesive energy versus lattice constant curve for sc Fe v004 view 7798
Cohesive energy versus lattice constant curve for sc Ti v004 view 7141


Elastic constants for arbitrary crystals at zero temperature and pressure v000

Creators:
Contributor: ilia
Publication Year: 2024
DOI: https://doi.org/10.25950/888f9943

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 FeTi in AFLOW crystal prototype A2B_hP12_194_ah_f at zero temperature and pressure v000 view 1094956


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 3519
Elastic constants for bcc Fe at zero temperature v006 view 2591
Elastic constants for bcc Ti at zero temperature v006 view 2591
Elastic constants for diamond C at zero temperature v001 view 27127
Elastic constants for diamond Fe at zero temperature v001 view 18234
Elastic constants for diamond Ti at zero temperature v001 view 15707
Elastic constants for fcc C at zero temperature v006 view 10013
Elastic constants for fcc Fe at zero temperature v006 view 6014
Elastic constants for fcc Ti at zero temperature v006 view 2751
Elastic constants for sc C at zero temperature v006 view 3103
Elastic constants for sc Fe at zero temperature v006 view 2783
Elastic constants for sc Ti at zero temperature v006 view 2399


Elastic constants for hexagonal crystals at zero temperature v004

Creators: Junhao Li
Contributor: jl2922
Publication Year: 2019
DOI: https://doi.org/10.25950/d794c746

Computes the elastic constants for hcp crystals by calculating the hessian of the energy density with respect to strain. An estimate of the error associated with the numerical differentiation performed is reported.
Test Test Results Link to Test Results page Benchmark time
Usertime 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 v004 view 2133
Elastic constants for hcp Fe at zero temperature v004 view 2260
Elastic constants for hcp Ti at zero temperature v004 view 2961


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 CFe in AFLOW crystal prototype A2B5_mC28_15_f_e2f v002 view 136771
Equilibrium crystal structure and energy for FeTi in AFLOW crystal prototype A2B_hP12_194_ah_f v002 view 58998
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype A3B7_hP20_186_c_b2c v002 view 134284
Equilibrium crystal structure and energy for CTi in AFLOW crystal prototype A5B8_hR13_166_abd_ch v002 view 204297
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype A6B23_cF116_225_e_acfh v002 view 1172486
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cF16_227_c v002 view 350434
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cF240_202_h2i v002 view 21747054
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_cF4_225_a v002 view 87312
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_cF4_225_a v002 view 67201
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cF8_227_a v002 view 123343
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cI16_206_c v002 view 64466
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cI16_229_f v002 view 125376
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_cI2_229_a v002 view 88860
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_cI2_229_a v002 view 86357
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cI8_214_a v002 view 76254
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cP1_221_a v002 view 56628
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_cP20_221_gj v002 view 133916
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hP12_194_bc2f v002 view 86283
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hP12_194_e2f v002 view 71265
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hP16_194_e3f v002 view 104688
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hP2_191_c v002 view 88786
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_hP2_194_c v002 view 46724
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_hP2_194_c v002 view 81351
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_hP3_191_ad v002 view 42471
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hP4_194_bc v002 view 42957
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hP4_194_f v002 view 48730
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hP8_194_ef v002 view 66774
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hR10_166_5c v002 view 61671
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hR14_166_7c v002 view 73823
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hR2_166_c v002 view 57939
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hR4_166_2c v002 view 74946
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_hR60_166_2h4i v002 view 620724
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_oC16_65_pq v002 view 80264
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_oC8_65_gh v002 view 89375
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_oI120_71_lmn6o v002 view 413593
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_tI8_139_h v002 view 49580
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_tP28_136_f2ij v002 view 170431
Equilibrium crystal structure and energy for CTi in AFLOW crystal prototype AB2_cF48_227_c_e v002 view 246382
Equilibrium crystal structure and energy for FeTi in AFLOW crystal prototype AB2_cF96_227_e_cf v002 view 954784
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB2_hP3_191_a_c v002 view 52557
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB2_oP12_62_c_2c v002 view 99829
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB3_hP8_182_c_g v002 view 86872
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB3_oP16_62_c_cd v002 view 201647
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB3_tI32_82_g_3g v002 view 139748
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB4_cP5_215_a_e v002 view 54076
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB4_mP10_11_e_4e v002 view 66897
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB4_tI10_87_a_h v002 view 45448
Equilibrium crystal structure and energy for CTi in AFLOW crystal prototype AB_cF8_225_a_b v002 view 99756
Equilibrium crystal structure and energy for FeTi in AFLOW crystal prototype AB_cP2_221_a_b v002 view 62340


Relaxed energy as a function of tilt angle for a symmetric tilt grain boundary within a cubic crystal v002

Creators: Brandon Runnels
Contributor: brunnels
Publication Year: 2019
DOI: https://doi.org/10.25950/4723cee7

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 v000 view 9423281
Relaxed energy as a function of tilt angle for a 110 symmetric tilt grain boundary in bcc Fe v000 view 31705020
Relaxed energy as a function of tilt angle for a 111 symmetric tilt grain boundary in bcc Fe v000 view 16336841
Relaxed energy as a function of tilt angle for a 112 symmetric tilt grain boundary in bcc Fe v000 view 85204723
Relaxed energy as a function of tilt angle for a 100 symmetric tilt grain boundary in fcc Fe v000 view 13914593
Relaxed energy as a function of tilt angle for a 110 symmetric tilt grain boundary in fcc Fe v000 view 171135958
Relaxed energy as a function of tilt angle for a 111 symmetric tilt grain boundary in fcc Fe v000 view 37953914
Relaxed energy as a function of tilt angle for a 112 symmetric tilt grain boundary in fcc Fe v000 view 172301309


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 2943


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 3903
Equilibrium zero-temperature lattice constant for bcc Fe v007 view 6590
Equilibrium zero-temperature lattice constant for bcc Ti v007 view 7613
Equilibrium zero-temperature lattice constant for diamond C v007 view 8349
Equilibrium zero-temperature lattice constant for diamond Fe v007 view 9469
Equilibrium zero-temperature lattice constant for diamond Ti v007 view 11932
Equilibrium zero-temperature lattice constant for fcc C v007 view 10204
Equilibrium zero-temperature lattice constant for fcc Fe v007 view 10556
Equilibrium zero-temperature lattice constant for fcc Ti v007 view 9021
Equilibrium zero-temperature lattice constant for sc C v007 view 8189
Equilibrium zero-temperature lattice constant for sc Fe v007 view 8317
Equilibrium zero-temperature lattice constant for sc Ti v007 view 7677


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 37503
Equilibrium lattice constants for hcp Fe v005 view 48486
Equilibrium lattice constants for hcp Ti v005 view 35975


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 6750558
Linear thermal expansion coefficient of diamond C at 293.15 K under a pressure of 0 MPa v002 view 10948952


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 101405


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 8594825
Monovacancy formation energy and relaxation volume for hcp Ti view 6266945


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 3798302
Vacancy formation and migration energy for hcp Ti view 20496021


CohesiveEnergyVsLatticeConstant__TD_554653289799_003

ElasticConstantsCubic__TD_011862047401_004
Test Error Categories Link to Error page
Elastic constants for bcc C at zero temperature other view

EquilibriumCrystalStructure__TD_457028483760_000

EquilibriumCrystalStructure__TD_457028483760_002
Test Error Categories Link to Error page
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype A2B5_aP28_2_4i_10i v002 other view
Equilibrium crystal structure and energy for FeTi in AFLOW crystal prototype A2B_oC24_63_acg_f v002 other view
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_mC16_12_4i v002 other view
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_oC16_65_mn v002 other view
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_oC8_67_m v002 other view
Equilibrium crystal structure and energy for C in AFLOW crystal prototype A_oP16_62_4c v002 other view
Equilibrium crystal structure and energy for Fe in AFLOW crystal prototype A_tP1_123_a v002 other view
Equilibrium crystal structure and energy for CFe in AFLOW crystal prototype AB2_oP6_58_a_g v002 other view

SurfaceEnergyCubicCrystalBrokenBondFit__TD_955413365818_003
Test Error Categories Link to Error page
Broken-bond fit of high-symmetry surface energies in bcc Fe other view

No Driver
Verification Check Error Categories Link to Error page
MemoryLeak__VC_561022993723_004 other view
PeriodicitySupport__VC_895061507745_004 other view



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