SW_MX2_KurniawanPetrieWilliams_2021_MoS__MO_677328661525_000
| Title
A single sentence description.
|
Modified Stillinger-Weber potential (MX2) for monolayer MoS2 by Kurniawan et al. (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.
|
This is a Stillinger-Weber (SW) parameterization for molybdenum disulfide. The parameters were calibrated to atomic forces from a DFT calculation of a molybdenum disulfide monolayer at 750K, as explained in Wen et al. (2017). Parameters $q_{IJ}$ are set to be zero for all pair-wise interactions and $\gamma$ to be the same for all three-body interactions. Additionally, to explore the full parameter space, $p_{IJ}$ are allowed to take any positive real value. This also allows the two-body interaction term to be a continuous function in $p_{IJ}$, which is needed in the information geometry analysis. The relation between $\sigma_{IJ}$ and the equilibrium lattice constants of the system is also eliminated. Further, we don't require $d\phi_2/dr|_{r=d}=0$ at the equilibrium bond length $d$, i.e., the atoms are not required to be in a pair-wise equilibrium state, which removes the constraint on $B_{IJ}$. Potential fitting was done to minimize the weighted least-squares loss function. We set the tolerance for the force components corresponding to each atom to be 10\% of the force magnitude acting on the same atom, a reasonable choice of fractional tolerance. We use these values as the non-uniform error bars, i.e., inverse weights, in the loss function. |
| Species
The supported atomic species.
| Mo, S |
| Disclaimer
A statement of applicability provided by the contributor, informing users of the intended use of this KIM Item.
|
As with the original model by Wen et al. (2017) (or reference the model), this model is designed for two-dimensional (2D) monolayer molybdenum disulfide (MoS2), and is not appropriate for bulk MoS2 or other compounds of Mo and/or S. |
| Contributor |
Yonatan Kurniawan |
| Maintainer |
Yonatan Kurniawan |
| Developer |
Yonatan Kurniawan Cody Petrie Kinamo Williams Mark K. Transtrum Ryan S. Elliott Ellad B. Tadmor Daniel S. Karls Mingjian Wen |
| Published on KIM | 2022 |
| How to Cite |
This Model originally published in [1-2] is archived in OpenKIM [3-6]. [1] Kurniawan Y, Petrie CL, Williams KJ, Transtrum MK, Tadmor EB, Elliott RS, et al. Bayesian, Frequentist, and Information Geometry approaches to parametric uncertainty quantification of classical empirical interatomic potentials. 2021Dec; Available from: https://arxiv.org/abs/2112.10851v1 — (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] Wen M, Shirodkar SN, Plecháč P, Kaxiras E, Elliott RS, Tadmor EB. A force-matching Stillinger-Weber potential for MoS2: Parameterization and Fisher information theory based sensitivity analysis. Journal of Applied Physics. 2017Dec;122(24):244301. doi:10.1063/1.5007842 [3] Kurniawan Y, Petrie C, Williams K, Transtrum MK, Elliott RS, Tadmor EB, et al. Modified Stillinger-Weber potential (MX2) for monolayer MoS2 by Kurniawan et al. (2022) v000. OpenKIM; 2022. doi:10.25950/328bfabb [4] Wen M, Tadmor EB, Elliott RS, Shirodkar SN, Plechac P, Kaxiras E. Stillinger-Weber Model Driver for Monolayer MX2 systems v001. OpenKIM; 2018. doi:10.25950/7d664757 [5] 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 [6] 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. |
| Funding |
Award Title: Reliable Materials Simulation based on the Knowledgebase of Interatomic Models (KIM) Award Number: CMMT-1834332 Award URI: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1834332 Funder: National Science Foundation |
| Short KIM ID
The unique KIM identifier code.
| MO_677328661525_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.
| SW_MX2_KurniawanPetrieWilliams_2021_MoS__MO_677328661525_000 |
| DOI |
10.25950/328bfabb https://doi.org/10.25950/328bfabb https://commons.datacite.org/doi.org/10.25950/328bfabb |
| 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 SW_MX2__MD_242389978788_001 |
| Driver | SW_MX2__MD_242389978788_001 |
| KIM API Version | 2.2 |
| Potential Type | swmx2 |
| 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 |
| 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 |
| 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.
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.
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.
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.
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.
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.
Cubic Crystal Basic Properties Table
Species: MoSpecies: S
Disclaimer From Model Developer
As with the original model by Wen et al. (2017) (or reference the model), this model is designed for two-dimensional (2D) monolayer molybdenum disulfide (MoS2), and is not appropriate for bulk MoS2 or other compounds of Mo and/or S.
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 Mo v004 | view | 2138 | |
| Cohesive energy versus lattice constant curve for diamond Mo v004 | view | 2208 | |
| Cohesive energy versus lattice constant curve for fcc Mo v004 | view | 2944 | |
| Cohesive energy versus lattice constant curve for sc Mo v004 | view | 2609 |
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 MoS in AFLOW crystal prototype A2B3_mP10_11_2e_3e at zero temperature and pressure v000 | view | 208714 |
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 Mo at zero temperature v006 | view | 7343 | |
| Elastic constants for diamond Mo at zero temperature v001 | view | 18375 | |
| Elastic constants for fcc Mo at zero temperature v006 | view | 15227 | |
| Elastic constants for sc Mo at zero temperature v006 | view | 14014 |
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.
Creators:
Contributor: brunnels
Publication Year: 2022
DOI: https://doi.org/10.25950/2c59c9d6
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 Mo v001 | view | 36131391 | |
| Relaxed energy as a function of tilt angle for a 110 symmetric tilt grain boundary in bcc Mo v001 | view | 167660190 | |
| Relaxed energy as a function of tilt angle for a 111 symmetric tilt grain boundary in bcc Mo v001 | view | 163589492 | |
| Relaxed energy as a function of tilt angle for a 112 symmetric tilt grain boundary in bcc Mo v001 | view | 452418494 |
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 Mo v007 | view | 3727 | |
| Equilibrium zero-temperature lattice constant for diamond Mo v007 | view | 4734 | |
| Equilibrium zero-temperature lattice constant for fcc Mo v007 | view | 3764 | |
| Equilibrium zero-temperature lattice constant for sc Mo v007 | view | 3429 |
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 Mo v005 | view | 65487 |
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 Mo at 293.15 K under a pressure of 0 MPa v002 | view | 6725306 |
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 Mo v004 | view | 382215 |
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 Mo | view | 891176 |
| Test | Error Categories | Link to Error page |
|---|---|---|
| Elastic constants for hcp Mo at zero temperature v004 | other | view |
EquilibriumCrystalStructure__TD_457028483760_000
| Test | Error Categories | Link to Error page |
|---|---|---|
| Equilibrium crystal structure and energy for S in AFLOW crystal prototype A_mP28_14_7e v000 | other | view |
| Equilibrium crystal structure and energy for S in AFLOW crystal prototype A_mP36_14_9e v000 | other | view |
EquilibriumCrystalStructure__TD_457028483760_002
| Test | Error Categories | Link to Error page |
|---|---|---|
| Equilibrium crystal structure and energy for MoS in AFLOW crystal prototype A15B19_hP68_176_h2i_efh2i v002 | other | view |
| Equilibrium crystal structure and energy for MoS in AFLOW crystal prototype A3B4_hR14_148_f_cf v002 | other | view |
GrainBoundaryCubicCrystalSymmetricTiltRelaxedEnergyVsAngle__TD_410381120771_002
| Test | Error Categories | Link to Error page |
|---|---|---|
| Relaxed energy as a function of tilt angle for a 112 symmetric tilt grain boundary in bcc Mo v000 | other | view |
LatticeConstantCubicEnergy__TD_475411767977_007
| Test | Error Categories | Link to Error page |
|---|---|---|
| Equilibrium zero-temperature lattice constant for bcc S v007 | other | view |
| Equilibrium zero-temperature lattice constant for diamond S v007 | other | view |
| Equilibrium zero-temperature lattice constant for fcc S v007 | other | view |
| Equilibrium zero-temperature lattice constant for sc S v007 | other | view |
LatticeConstantHexagonalEnergy__TD_942334626465_005
| Test | Error Categories | Link to Error page |
|---|---|---|
| Equilibrium lattice constants for hcp S v005 | other | view |
LinearThermalExpansionCoeffCubic__TD_522633393614_001
| Test | Error Categories | Link to Error page |
|---|---|---|
| Linear thermal expansion coefficient of bcc Mo at 293.15 K under a pressure of 0 MPa v001 | other | view |
SurfaceEnergyCubicCrystalBrokenBondFit__TD_955413365818_004
| Test | Error Categories | Link to Error page |
|---|---|---|
| Broken-bond fit of high-symmetry surface energies in bcc Mo v004 | other | view |
VacancyFormationMigration__TD_554849987965_001
| Test | Error Categories | Link to Error page |
|---|---|---|
| Vacancy formation and migration energy for bcc Mo | other | view |
| SW_MX2_KurniawanPetrieWilliams_2021_MoS__MO_677328661525_000.txz | Tar+XZ | Linux and OS X archive |
| SW_MX2_KurniawanPetrieWilliams_2021_MoS__MO_677328661525_000.zip | Zip | Windows archive |
This Model requires a Model Driver. Archives for the Model Driver SW_MX2__MD_242389978788_001 appear below.
| SW_MX2__MD_242389978788_001.txz | Tar+XZ | Linux and OS X archive |
| SW_MX2__MD_242389978788_001.zip | Zip | Windows archive |