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Sim_LAMMPS_Polymorphic_NordAlbeErhart_2003_GaN__SM_333071728528_000

Interatomic potential for Gallium (Ga), Nitrogen (N).
Use this Potential

Title
A single sentence description.
LAMMPS BOP potential for the Ga-N system developed by Nord et al. (2003) and implemented using the polymorphic framework of Zhou et al. (2015) v000
Description An analytical bond-order potential for GaN is presented that describes a wide range of structural properties of GaN as well as bonding and structure of the pure constituents. For the systematic fit of the potential parameters reference data are taken from total-energy calculations within the density functional theory if not available from experiments. Although long-range interactions are not explicitly included in the potential, the present model provides a good fit to different structural geometries including defects and high-pressure phases of GaN.
Species
The supported atomic species.
Ga, N
Disclaimer
A statement of applicability provided by the contributor, informing users of the intended use of this KIM Item.
None
Content Origin LAMMPS package 22-Sep-2017
Contributor Ronald E. Miller
Maintainer Ronald E. Miller
Developer Kai Nordlund
J. Nord
Karsten Albe
Paul Erhart
Published on KIM 2019
How to Cite

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

[1] Nord J, Albe K, Erhart P, Nordlund K. Modelling of compound semiconductors: analytical bond-order potential for gallium, nitrogen and gallium nitride. Journal of Physics: Condensed Matter [Internet]. 2003Aug;15(32):5649–62. Available from: https://doi.org/10.1088/0953-8984/15/32/324 doi:10.1088/0953-8984/15/32/324 — (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] Nordlund K, Nord J, Albe K, Erhart P. LAMMPS BOP potential for the Ga-N system developed by Nord et al. (2003) and implemented using the polymorphic framework of Zhou et al. (2015) v000. OpenKIM; 2019. doi:10.25950/d947b5f4

[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_333071728528_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_Polymorphic_NordAlbeErhart_2003_GaN__SM_333071728528_000
DOI 10.25950/d947b5f4
https://doi.org/10.25950/d947b5f4
https://commons.datacite.org/doi.org/10.25950/d947b5f4
KIM Item TypeSimulator Model
KIM API Version2.1
Simulator Name
The name of the simulator as defined in kimspec.edn.
LAMMPS
Potential Type polymorphic
Simulator Potential polymorphic
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
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
N/A 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: N
Species: Ga


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.

Species: Ga
Species: N


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: N
Species: Ga


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: Ga
Species: N


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: Ga
Species: N


Cubic Crystal Basic Properties Table

Species: Ga

Species: N





Elastic constants for cubic crystals at zero temperature and pressure v005

Creators: Junhao Li and Ellad Tadmor
Contributor: tadmor
Publication Year: 2019
DOI: https://doi.org/10.25950/49c5c255

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 N at zero temperature v005 view 3946
Elastic constants for diamond N at zero temperature v000 view 16524
Elastic constants for fcc N at zero temperature v005 view 4652
Elastic constants for sc N at zero temperature v005 view 3690


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 Ga at zero temperature v006 view 9565
Elastic constants for diamond Ga at zero temperature v001 view 7581
Elastic constants for fcc Ga at zero temperature v006 view 2911
Elastic constants for sc Ga at zero temperature v006 view 9245


Elastic constants for hexagonal crystals at zero temperature v003

Creators: Junhao Li
Contributor: jl2922
Publication Year: 2018
DOI: https://doi.org/10.25950/2e4b93d9

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 Ga at zero temperature view 2031
Elastic constants for hcp N at zero temperature view 1612


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 Ga in AFLOW crystal prototype A_cI12_220_a v002 view 158579
Equilibrium crystal structure and energy for N in AFLOW crystal prototype A_cI20_217_ce v002 view 174481
Equilibrium crystal structure and energy for N in AFLOW crystal prototype A_cI8_199_a v002 view 63616
Equilibrium crystal structure and energy for N in AFLOW crystal prototype A_cP8_198_2a v002 view 53590
Equilibrium crystal structure and energy for N in AFLOW crystal prototype A_cP8_205_c v002 view 53287
Equilibrium crystal structure and energy for N in AFLOW crystal prototype A_hP2_194_c v002 view 49337
Equilibrium crystal structure and energy for N in AFLOW crystal prototype A_hP4_194_f v002 view 41438
Equilibrium crystal structure and energy for N in AFLOW crystal prototype A_hR16_167_cf v002 view 212690
Equilibrium crystal structure and energy for Ga in AFLOW crystal prototype A_hR22_166_ae3h v002 view 147768
Equilibrium crystal structure and energy for Ga in AFLOW crystal prototype A_oC40_63_2cf3g v002 view 253248
Equilibrium crystal structure and energy for Ga in AFLOW crystal prototype A_oC4_63_c v002 view 52375
Equilibrium crystal structure and energy for Ga in AFLOW crystal prototype A_oC8_63_g v002 view 105498
Equilibrium crystal structure and energy for Ga in AFLOW crystal prototype A_oC8_64_f v002 view 116541
Equilibrium crystal structure and energy for N in AFLOW crystal prototype A_oP2_51_e v002 view 66038
Equilibrium crystal structure and energy for Ga in AFLOW crystal prototype A_tI2_139_a v002 view 90406
Equilibrium crystal structure and energy for N in AFLOW crystal prototype A_tP4_136_f v002 view 42289
Equilibrium crystal structure and energy for GaN in AFLOW crystal prototype AB_cF8_216_a_c v002 view 121842
Equilibrium crystal structure and energy for GaN in AFLOW crystal prototype AB_cF8_225_a_b v002 view 66471
Equilibrium crystal structure and energy for GaN in AFLOW crystal prototype AB_hP4_186_b_b v002 view 53165
Equilibrium crystal structure and energy for GaN in AFLOW crystal prototype AB_hP4_194_c_b v002 view 49945


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 Ga v007 view 4990
Equilibrium zero-temperature lattice constant for bcc N v007 view 6782
Equilibrium zero-temperature lattice constant for diamond Ga v007 view 8701
Equilibrium zero-temperature lattice constant for diamond N v007 view 6750
Equilibrium zero-temperature lattice constant for fcc Ga v007 view 7773
Equilibrium zero-temperature lattice constant for fcc N v007 view 5438
Equilibrium zero-temperature lattice constant for sc Ga v007 view 5694
Equilibrium zero-temperature lattice constant for sc N v007 view 7262


Equilibrium lattice constants for hexagonal bulk structures at zero temperature and pressure v004

Creators: Junhao Li
Contributor: jl2922
Publication Year: 2018
DOI: https://doi.org/10.25950/25bcc28b

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 Ga view 8512
Equilibrium lattice constants for hcp N view 10125


CohesiveEnergyVsLatticeConstant__TD_554653289799_002

CohesiveEnergyVsLatticeConstant__TD_554653289799_003

EquilibriumCrystalStructure__TD_457028483760_000

EquilibriumCrystalStructure__TD_457028483760_002

LatticeConstantCubicEnergy__TD_475411767977_007

LatticeConstantHexagonalEnergy__TD_942334626465_005



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