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Sim_LAMMPS_Buckingham_MatsuiAkaogi_1991_TiO__SM_690504433912_000

Interatomic potential for Oxygen (O), Titanium (Ti).
Use this Potential

Title
A single sentence description.
LAMMPS Buckingham potential for TiO2 developed by Matsui and Akaogi (1991) v000
Description The potential is based on the rigid-ion Born model of ionic solid. The Ti and O ions interact via long-range Coulombic interactions and short-range Buckingham interactions. The parameters were fitted so that they give good agreement with the crystal structures of anatase, rutile and brookite.
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.
None
Contributor Evangelos Voyiatzis
Maintainer Evangelos Voyiatzis
Implementer Evangelos Voyiatzis
Developer Masanori Matsui
Masaki Akaogi
Published on KIM 2021
How to Cite

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

[1] Matsui M, Akaogi M. Molecular Dynamics Simulation of the Structural and Physical Properties of the Four Polymorphs of TiO_2. Molecular Simulation. 1991;6(4-6):239–44. doi:10.1080/08927029108022432 — (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] Voyiatzis E, Matsui M, Akaogi M. LAMMPS Buckingham potential for TiO2 developed by Matsui and Akaogi (1991) v000. OpenKIM; 2021. doi:10.25950/cfc442b6

[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

This panel presents information regarding the papers that have cited the interatomic potential (IP) whose page you are on.

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The bar chart shows the number of articles that cited the IP per year. Each bar is divided into green (articles that USED the IP) and blue (articles that did NOT USE the IP).

Users are encouraged to correct Deep Citation errors in determination by clicking the speech icon next to a citing article and providing updated information. This will be integrated into the next Deep Citation learning cycle, which occurs on a regular basis.

OpenKIM acknowledges the support of the Allen Institute for AI through the Semantic Scholar project for providing citation information and full text of articles when available, which are used to train the Deep Citation ML algorithm.

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.

Help us to determine which of the papers that cite this potential actually used it to perform calculations. If you know, click the  .
Funding Award Title: Innovative Nanoinformatics models and tools: towards a Solid, verified and Integrated Approach to Predictive (eco)Toxicology (NanoSolveIT)
Award Number: 814572
Award URI: https://cordis.europa.eu/project/id/814572
Funder: EU H2020

Short KIM ID
The unique KIM identifier code.
SM_690504433912_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_Buckingham_MatsuiAkaogi_1991_TiO__SM_690504433912_000
DOI 10.25950/cfc442b6
https://doi.org/10.25950/cfc442b6
https://commons.datacite.org/doi.org/10.25950/cfc442b6
KIM Item TypeSimulator Model
KIM API Version2.2
Simulator Name
The name of the simulator as defined in kimspec.edn.
LAMMPS
Potential Type buckingham
Simulator Potential buck/coul/long
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
N/A 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
N/A 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.

(No matching species)

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.

(No matching species)

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.

(No matching species)

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.

(No matching species)

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.

(No matching species)

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.

(No matching species)

Cubic Crystal Basic Properties Table

Species: O

Species: Ti





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 194028521
Elastic constants for OTi in AFLOW crystal prototype A2B_cP12_205_c_a at zero temperature and pressure v000 view 252174728


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 O in AFLOW crystal prototype A_oP24_61_3c v001 view 3013140


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_aP34_2_11i_6i v002 view 2010548
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A11B6_mC68_12_11i_6i v002 view 34757195
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A17B9_aP52_2_17i_ac8i v002 view 2765491
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_cF12_225_c_a v002 view 96548
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_cP12_205_c_a v002 view 1042520
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_hP9_189_fg_ad v002 view 747984
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_mC24_12_4i_2i v002 view 1189559
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_oC24_35_abdf_de v002 view 3626178
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_oP12_60_d_c v002 view 1013975
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_oP12_62_2c_c v002 view 990996
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_oP24_61_2c_c v002 view 2524639
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_tI12_141_e_a v002 view 657362
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_tP6_136_f_a v002 view 615742
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A3B2_hR10_167_e_c v002 view 2405792
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A3B2_oP20_62_3c_2c v002 view 1301661
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A5B3_oC32_63_c2f_cf v002 view 4136298
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A5B4_tI18_87_ah_h v002 view 948464
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A7B4_aP22_2_7i_4i v002 view 23884772
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A9B5_aP28_2_9i_ab4i v002 view 1311930
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_cF4_225_a v002 view 2237769
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_cI2_229_a v002 view 689808
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_hP2_194_c v002 view 699616
Equilibrium crystal structure and energy for Ti in AFLOW crystal prototype A_hP3_191_ad v002 view 403082
Equilibrium crystal structure and energy for O in AFLOW crystal prototype A_hP4_194_f v002 view 579529
Equilibrium crystal structure and energy for O in AFLOW crystal prototype A_hR2_166_c v002 view 90107
Equilibrium crystal structure and energy for O in AFLOW crystal prototype A_oC12_63_cg v002 view 756887
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB2_hP3_164_a_d v002 view 582706
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB3_hP16_163_ac_i v002 view 1194602
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB3_hP24_149_acgi_3l v002 view 8537990
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB3_hP8_193_b_g v002 view 1162689
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB6_hP14_163_c_i v002 view 1305915
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB6_hP7_162_a_k v002 view 813394
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype AB_cF8_225_a_b v002 view 1682262


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_aP102_2_33i_18i v002 other view
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_hP9_152_c_a v002 other view
Equilibrium crystal structure and energy for OTi in AFLOW crystal prototype A2B_mP12_11_4e_2e 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_tI24_141_h_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 A7B4_aP110_2_35i_20i 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 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_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

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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