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PolyMLP_Seko_2022p1_BeGe__MO_396933178400_000

Interatomic potential for Beryllium (Be), Germanium (Ge).
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Title
A single sentence description.
Polynomial machine learning potential for Be-Ge developed by Seko (2022) v000
Description
A short description of the Model describing its key features including for example: type of model (pair potential, 3-body potential, EAM, etc.), modeled species (Ac, Ag, ..., Zr), intended purpose, origin, and so on.
Polynomial machine learning potential (MLP) for Be-Ge system. This potential is gtinv-182 potential in Be-Ge-2022-07-21 taken from Polynomial MLP Repository. The RMS errors for energy and forces are 3.37 meV/atom and 0.0642 eV/angstrom, respectively. The estimated computational cost required for a single core calculation is 0.52 ms/atom/step.
Species
The supported atomic species.
Be, Ge
Disclaimer
A statement of applicability provided by the contributor, informing users of the intended use of this KIM Item.
Several models from the PolyMLP repository are available for BeGe, all laying on a pareto front of computational speed vs. RMS accuracy. They are labeled p1, p2, p3, p4 in their KIM IDs. Higher numbers mean slower models. The author-recommended model for this system is p1 (this model).
Content Origin PolyMLP Repository (Kyoto University) https://cms.mtl.kyoto-u.ac.jp/seko/mlp-repository/index.html
Contributor Atsuto Seko
Maintainer Atsuto Seko
Developer Atsuto Seko
Published on KIM 2026
How to Cite

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

[1] Seko A. Tutorial: Systematic development of polynomial machine learning potentials for elemental and alloy systems. J Appl Phys. 2023Jan;133(1). doi:10.1063/5.0129045 — (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] Seko A. Polynomial machine learning potential for Be-Ge developed by Seko (2022) v000. OpenKIM; 2026. doi:10.25950/69eda683

[3] Seko A. Model driver for polynomial machine learning potentials (PolyMLP) ported from pypolymlp v000. OpenKIM; 2026. doi:10.25950/948ad72c

[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

Funding Not available
Short KIM ID
The unique KIM identifier code.
MO_396933178400_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.
PolyMLP_Seko_2022p1_BeGe__MO_396933178400_000
DOI 10.25950/69eda683
https://doi.org/10.25950/69eda683
https://commons.datacite.org/doi.org/10.25950/69eda683
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 PolyMLP__MD_367995833009_000
DriverPolyMLP__MD_367995833009_000
KIM API Version2.3
Potential Type polymlp

(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
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-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-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
P vc-contributing-atom-energy informational
other
Results Files
A vc-partial-forces informational
other
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: Be
Species: Ge


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: Ge
Species: Be


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: Be
Species: Ge


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: Be
Species: Ge


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: Ge
Species: Be


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: Ge
Species: Be


Cubic Crystal Basic Properties Table

Species: Be

Species: Ge



Disclaimer From Model Developer

Several models from the PolyMLP repository are available for BeGe, all laying on a pareto front of computational speed vs. RMS accuracy. They are labeled p1, p2, p3, p4 in their KIM IDs. Higher numbers mean slower models. The author-recommended model for this system is p1 (this model).



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 Be v004 view 156579
Cohesive energy versus lattice constant curve for bcc Ge v004 view 204518
Cohesive energy versus lattice constant curve for diamond Be v004 view 368880
Cohesive energy versus lattice constant curve for diamond Ge v004 view 399540
Cohesive energy versus lattice constant curve for fcc Be v004 view 251972
Cohesive energy versus lattice constant curve for fcc Ge v004 view 200896
Cohesive energy versus lattice constant curve for sc Be v004 view 377520
Cohesive energy versus lattice constant curve for sc Ge v004 view 187566


Elastic constants for arbitrary crystals at zero temperature and pressure v001

Creators:
Contributor: ilia
Publication Year: 2025
DOI: https://doi.org/10.25950/922d328f

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 Ge in AFLOW crystal prototype A_cF4_225_a at zero temperature and pressure v001 view 336307
Elastic constants for Ge in AFLOW crystal prototype A_cF8_227_a at zero temperature and pressure v001 view 493493
Elastic constants for Ge in AFLOW crystal prototype A_cI16_206_c at zero temperature and pressure v001 view 686223
Elastic constants for Be in AFLOW crystal prototype A_cI2_229_a at zero temperature and pressure v001 view 648480
Elastic constants for Ge in AFLOW crystal prototype A_cI2_229_a at zero temperature and pressure v001 view 434221
Elastic constants for Be in AFLOW crystal prototype A_hP2_194_c at zero temperature and pressure v001 view 483544
Elastic constants for Ge in AFLOW crystal prototype A_hP2_194_c at zero temperature and pressure v001 view 419808
Elastic constants for Ge in AFLOW crystal prototype A_hP4_194_f at zero temperature and pressure v001 view 526546
Elastic constants for Ge in AFLOW crystal prototype A_hP8_194_ef at zero temperature and pressure v001 view 1004400
Elastic constants for Ge in AFLOW crystal prototype A_hR8_148_cf at zero temperature and pressure v001 view 1320438
Elastic constants for Ge in AFLOW crystal prototype A_tI4_141_a at zero temperature and pressure v001 view 781313
Elastic constants for Ge in AFLOW crystal prototype A_tP12_96_ab at zero temperature and pressure v001 view 1495471


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 Be at zero temperature v006 view 18106
Elastic constants for bcc Ge at zero temperature v006 view 22177
Elastic constants for diamond Ge at zero temperature v001 view 26005
Elastic constants for fcc Be at zero temperature v006 view 41499
Elastic constants for fcc Ge at zero temperature v006 view 42107
Elastic constants for sc Be at zero temperature v006 view 18350
Elastic constants for sc Ge at zero temperature v006 view 17803


Equilibrium structure and energy for a crystal structure at zero temperature and pressure v003

Creators:
Contributor: ilia
Publication Year: 2025
DOI: https://doi.org/10.25950/866c7cfa

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 Ge in AFLOW crystal prototype A_cF136_227_aeg v003 view 4451278
Equilibrium crystal structure and energy for Ge in AFLOW crystal prototype A_cF4_225_a v003 view 162715
Equilibrium crystal structure and energy for Ge in AFLOW crystal prototype A_cF8_227_a v003 view 434040
Equilibrium crystal structure and energy for Ge in AFLOW crystal prototype A_cI16_206_c v003 view 164842
Equilibrium crystal structure and energy for Be in AFLOW crystal prototype A_cI2_229_a v003 view 130026
Equilibrium crystal structure and energy for Ge in AFLOW crystal prototype A_cI2_229_a v003 view 117510
Equilibrium crystal structure and energy for Be in AFLOW crystal prototype A_hP2_194_c v003 view 159960
Equilibrium crystal structure and energy for Ge in AFLOW crystal prototype A_hP2_194_c v003 view 146735
Equilibrium crystal structure and energy for Ge in AFLOW crystal prototype A_hP4_194_f v003 view 169581
Equilibrium crystal structure and energy for Ge in AFLOW crystal prototype A_hP8_194_ef v003 view 186472
Equilibrium crystal structure and energy for Ge in AFLOW crystal prototype A_hR8_148_cf v003 view 198807
Equilibrium crystal structure and energy for Ge in AFLOW crystal prototype A_tI4_141_a v003 view 157800
Equilibrium crystal structure and energy for Ge in AFLOW crystal prototype A_tP12_96_ab v003 view 208832


Test driver for computing reference ground state structures and energies for each element at zero temperature and applied stress v000

Creators:
Contributor: efuem
Publication Year: 2025
DOI: https://doi.org/10.25950/fa5ed729

This test returns reference ground state structures and energies for each element at zero temperature and applied stress. The results from this test are useful when a reference structure is required in some downstream test, such as vacancy tests (used as a reservoir). This test driver works by querying results from the EquilibriumCrystalStructure test driver using element specific reference structures following CHIPS-FF. Although the reference prototypes are independent of model, the resulting structure and energy of the prototypes are model-dependent.
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)
Reference elemental energy for Be v000 view 48763
Reference elemental energy for Ge v000 view 32081


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 Be v007 view 15129
Equilibrium zero-temperature lattice constant for bcc Ge v007 view 36060
Equilibrium zero-temperature lattice constant for diamond Be v007 view 17013
Equilibrium zero-temperature lattice constant for diamond Ge v007 view 36192
Equilibrium zero-temperature lattice constant for fcc Be v007 view 24122
Equilibrium zero-temperature lattice constant for fcc Ge v007 view 33870
Equilibrium zero-temperature lattice constant for sc Be v007 view 29529
Equilibrium zero-temperature lattice constant for sc Ge v007 view 24426


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 Be v005 view 134644
Equilibrium lattice constants for hcp Ge v005 view 199800


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 Be view 9687271




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