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MEAM_LAMMPS_ZhangTrinkle_2016_TiO__MO_612732924171_002

Interatomic potential for Oxygen (O), Titanium (Ti).
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Title
A single sentence description.
MEAM potential for the Ti-O system developed by Zhang and Trinkle (2016) v002
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.
Ti-O cubic spline potential where O is in the dilute limit. \n\nModeling oxygen interstitials in titanium require a new empirical potential. We optimize potential parameters using a fitting database of first-principle oxygen interstitial energies and forces. A new database optimization algorithm based on Bayesian sampling is applied to obtain an optimal potential for a specific testing set of density functional data. A parallel genetic algorithm minimizes the sum of logistic function evaluations of the testing set predictions. We test the transferability of the potential model against oxygen interstitials in HCP titanium, transition barriers between oxygen interstitial sites, and oxygen in the titanium prismatic stacking fault. The potential predicts that the interaction between oxygen and a screw dislocation core is weak and short-ranged.\n\nNotes: This file was sent to the NIST IPRP by Prof. Dallas Trinkle (Univ. of Illinois) on 9 Aug. 2016 and posted with his permission.
Species
The supported atomic species.
O, Ti
Disclaimer
A statement of applicability provided by the contributor, informing users of the intended use of this KIM Item.
This potential is specifically intended for dilute oxygen in titanium as there's no oxygen-oxygen interaction.
Content Origin NIST IPRP (https://www.ctcms.nist.gov/potentials/Ti.html#Ti-O)
Content Other Locations Also provided with the LAMMPS release of 22-Sept-2017\nhttps://openkim.org/id/Sim_LAMMPS_MEAM_ZhangTrinkle_2016_TiO__SM_513612626462_000
Contributor Yaser Afshar
Maintainer Yaser Afshar
Developer Pinchao Zhang
Dallas R. Trinkle
Published on KIM 2023
How to Cite

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

[1] Zhang P, Trinkle DR. A modified embedded atom method potential for interstitial oxygen in titanium. Computational Materials Science. 2016Nov;124:204–10. doi:10.1016/j.commatsci.2016.07.039 — (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] Zhang P, Trinkle DR. MEAM potential for the Ti-O system developed by Zhang and Trinkle (2016) v002. OpenKIM; 2023. doi:10.25950/6f66b824

[3] Afshar Y, Hütter S, Rudd RE, Stukowski A, Tipton WW, Trinkle DR, et al. The modified embedded atom method (MEAM) potential v002. OpenKIM; 2023. doi:10.25950/ee5eba52

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

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

Click here to download the above citation in BibTeX format.
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.
MO_612732924171_002
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.
MEAM_LAMMPS_ZhangTrinkle_2016_TiO__MO_612732924171_002
DOI 10.25950/6f66b824
https://doi.org/10.25950/6f66b824
https://commons.datacite.org/doi.org/10.25950/6f66b824
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 MEAM_LAMMPS__MD_249792265679_002
DriverMEAM_LAMMPS__MD_249792265679_002
KIM API Version2.2
Potential Type meam
Previous Version MEAM_LAMMPS_ZhangTrinkle_2016_TiO__MO_612732924171_001

(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
P 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: O
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: O


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: 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: O
Species: Ti


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: O
Species: Ti


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: Ti


Cubic Crystal Basic Properties Table

Species: O

Species: Ti



Disclaimer From Model Developer

This potential is specifically intended for dilute oxygen in titanium as there's no oxygen-oxygen interaction.



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 O v004 view 2944
Cohesive energy versus lattice constant curve for bcc Ti v004 view 2954
Cohesive energy versus lattice constant curve for diamond Ti v004 view 3681
Cohesive energy versus lattice constant curve for fcc O v004 view 3313
Cohesive energy versus lattice constant curve for fcc Ti v004 view 4123
Cohesive energy versus lattice constant curve for sc Ti v004 view 3242


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 OTi in AFLOW crystal prototype A2B_cF12_225_c_a at zero temperature and pressure v000 view 131339


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 O at zero temperature v006 view 13636
Elastic constants for bcc Ti at zero temperature v006 view 23779
Elastic constants for fcc O at zero temperature v006 view 13805
Elastic constants for fcc Ti at zero temperature v006 view 16083
Elastic constants for sc Ti at zero temperature v006 view 31730


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 OTi in AFLOW crystal prototype A3B2_hR10_167_e_c v001 view 50849164
Equilibrium crystal structure and energy for O in AFLOW crystal prototype A_mC4_12_i v001 view 1057338


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 OTi in AFLOW crystal prototype A11B6_aP102_2_33i_18i v002 view 555832
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A11B6_aP34_2_11i_6i v002 view 562019
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_cF12_225_c_a v002 view 101651
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_hP9_152_c_a v002 view 149652
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_hP9_189_fg_ad v002 view 62725
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_mP12_11_4e_2e v002 view 2129091
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_oP12_60_d_c v002 view 641018
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_oP12_62_2c_c v002 view 299365
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_oP24_61_2c_c v002 view 1172668
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_tI12_141_e_a v002 view 75682
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_tI24_141_h_c v002 view 1039300
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_tP6_136_f_a v002 view 984232
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A3B2_oP20_62_3c_2c v002 view 153905
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A5B4_tI18_87_ah_h v002 view 68762
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A7B4_aP110_2_35i_20i v002 view 709186
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A7B4_aP22_2_7i_4i v002 view 2970145
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_cF4_225_a v002 view 78921
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_cI2_229_a v002 view 91069
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_hP2_194_c v002 view 50795
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_hP3_191_ad v002 view 41195
Equilibrium crystal structure and energy for O in AFLOW crystal prototype A_hP4_194_f v002 view 451508
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB2_hP3_164_a_d v002 view 50856
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB3_hP16_163_ac_i v002 view 55170
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB3_hP24_149_acgi_3l v002 view 142750
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB3_hP8_193_b_g v002 view 45145
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB6_hP14_163_c_i v002 view 54774
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB6_hP7_162_a_k v002 view 51902
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB_cF8_225_a_b v002 view 97253


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 O v007 view 9130
Equilibrium zero-temperature lattice constant for bcc Ti v007 view 9129
Equilibrium zero-temperature lattice constant for diamond Ti v007 view 9578
Equilibrium zero-temperature lattice constant for fcc O v007 view 14577
Equilibrium zero-temperature lattice constant for fcc Ti v007 view 6626
Equilibrium zero-temperature lattice constant for sc Ti v007 view 8176


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 Ti v005 view 59338


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 hcp Ti view 1169388


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 hcp Ti view 5254737


ElasticConstantsCrystal__TD_034002468289_000

ElasticConstantsCubic__TD_011862047401_006
Test Error Categories Link to Error page
Elastic constants for diamond Ti at zero temperature v001 other view

ElasticConstantsHexagonal__TD_612503193866_004
Test Error Categories Link to Error page
Elastic constants for hcp Ti at zero temperature v004 other view

EquilibriumCrystalStructure__TD_457028483760_000

EquilibriumCrystalStructure__TD_457028483760_001

EquilibriumCrystalStructure__TD_457028483760_002
Test Error Categories Link to Error page
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A11B6_mC68_12_11i_6i v002 other view
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A17B9_aP52_2_17i_ac8i v002 other view
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_cP12_205_c_a v002 other view
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_mC24_12_4i_2i v002 other view
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_mP12_14_2e_e v002 other view
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_oC24_35_abdf_de v002 other view
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A3B2_hR10_167_e_c v002 other view
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A5B3_mC32_12_5i_3i v002 other view
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A5B3_oC32_63_c2f_cf v002 other view
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A9B5_aP28_1_18a_10a v002 other view
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A9B5_aP28_2_9i_ab4i v002 other view
Equilibrium crystal structure and energy for O in AFLOW crystal prototype A_hR2_166_c v002 other view
Equilibrium crystal structure and energy for O in AFLOW crystal prototype A_mC16_12_2ij v002 other view
Equilibrium crystal structure and energy for O in AFLOW crystal prototype A_mC4_12_i v002 other view
Equilibrium crystal structure and energy for O in AFLOW crystal prototype A_oC12_63_cg v002 other view
Equilibrium crystal structure and energy for O in AFLOW crystal prototype A_oP24_61_3c v002 other view
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB_mC20_12_a2i_d2i v002 other view

LatticeConstantCubicEnergy__TD_475411767977_007

LatticeConstantHexagonalEnergy__TD_942334626465_005
Test Error Categories Link to Error page
Equilibrium lattice constants for hcp O v005 other view




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