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SW_StillingerWeber_1985_Si__MO_405512056662_006

Interatomic potential for Silicon (Si).
Use this Potential

Title
A single sentence description.
Stillinger-Weber potential for Si due to Stillinger and Weber (1985) v006
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 the original Stillinger-Weber parameterization for Si due to Stillinger and Weber (1985). The cohesive energy diamond Si obtained from this model is 4.3364 eV. This Model corresponds to the Si.sw parameter file distributed with the LAMMPS package except that Si.sw uses epsilon=2.1683 and the KIM model uses 2.1682 (converted more precisely from 50 kcal/mol given in the SW paper). However, given the low accuracy of the source data, either is acceptable. Due to this difference, the Si.sw file from LAMMPS and the KIM model give slightly different results scaled by 2.1683/2.1682.
Species
The supported atomic species.
Si
Disclaimer
A statement of applicability provided by the contributor, informing users of the intended use of this KIM Item.
None
Contributor Amit K. Singh
Maintainer Amit K. Singh
Implementer Amit K. Singh
Developer Frank H. Stillinger
Thomas A. Weber
Published on KIM 2021
How to Cite

This Model originally published in [1-3] is archived in OpenKIM [4-7].

[1] Stillinger FH, Weber TA. Computer simulation of local order in condensed phases of silicon. Physical Review B. 1985Apr;31(8):5262–71. doi:10.1103/PhysRevB.31.5262 — (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] Tadmor EB, Miller RE. Modeling Materials: Continuum, Atomistic and Multiscale Techniques. Cambridge University Press; 2011. doi:10.1017/CBO9781139003582

[3] Stillinger FH, Weber TA. Erratum: Computer simulation of local order in condensed phases of silicon [Phys. Rev. B 31, 5262 (1985)]. Phys Rev B. 1986Jan;33(2):1451–. doi:10.1103/PhysRevB.33.1451

[4] Singh AK, Stillinger FH, Weber TA. Stillinger-Weber potential for Si due to Stillinger and Weber (1985) v006. OpenKIM; 2021. doi:10.25950/dd263fe3

[5] Wen M, Afshar Y, Stillinger FH, Weber TA. Stillinger-Weber (SW) Model Driver v005. OpenKIM; 2021. doi:10.25950/934dca3e

[6] 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

[7] 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.

3660 Citations (800 used)

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Funding Not available
Short KIM ID
The unique KIM identifier code.
MO_405512056662_006
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_StillingerWeber_1985_Si__MO_405512056662_006
DOI 10.25950/dd263fe3
https://doi.org/10.25950/dd263fe3
https://commons.datacite.org/doi.org/10.25950/dd263fe3
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__MD_335816936951_005
DriverSW__MD_335816936951_005
KIM API Version2.0
Potential Type sw
Previous Version SW_StillingerWeber_1985_Si__MO_405512056662_005

(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: Si


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: Si


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: Si


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: Si


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: Si


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: Si


Cubic Crystal Basic Properties Table

Species: Si





Conjugate gradient relaxation of atomic cluster v003

Creators: Daniel S. Karls
Contributor: karls
Publication Year: 2019
DOI: https://doi.org/10.25950/b47dd4c4

Given an xyz file corresponding to a finite cluster of atoms, this Test Driver computes the total potential energy and atomic forces on the configuration. The positions are then relaxed using conjugate gradient minimization and the final positions and forces are recorded. These results are primarily of interest for training machine-learning algorithms.
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)
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 846
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1284
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1284
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1316
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 752
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 752
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 846
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 846
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1316
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 720
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1284
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 846
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 720
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 846
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 846
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1284
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1378
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 846
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 752
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1284
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 720
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1441
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1284
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 846
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1284
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1316
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1316
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1284
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 846
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1284
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1410
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1316
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 846
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 846
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 720
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1284
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1316
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 720
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1316
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 752
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 846
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1316
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 564
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1284
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1347
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 846
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1347
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1347
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1284
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 814
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1222
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1378
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1316
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1190
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 846
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1284
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1159
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1378
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 877
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 940
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1128
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1065
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1096
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1253
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 908
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1034
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1002
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 971


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 Si v004 view 2288
Cohesive energy versus lattice constant curve for diamond Si v004 view 2429
Cohesive energy versus lattice constant curve for fcc Si v004 view 2069
Cohesive energy versus lattice constant curve for sc Si v004 view 2209


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 Si at zero temperature v006 view 11997
Elastic constants for diamond Si at zero temperature v001 view 6516
Elastic constants for fcc Si at zero temperature v006 view 3195
Elastic constants for sc Si at zero temperature v006 view 2882


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 Si in AFLOW crystal prototype A_hR8_148_cf v002 view 45692


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 Si in AFLOW crystal prototype A_cF136_227_aeg v003 view 3191678
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_cF4_225_a v003 view 154209
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_cF8_227_a v003 view 357755
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_cI12_229_d v003 view 266874
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_cI16_206_c v003 view 170736
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_cI82_217_acgh v003 view 2677868
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_cP46_223_cik v003 view 2989261
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_hP1_191_a v003 view 141449
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_hP2_194_c v003 view 163748
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_hP40_191_hjmno v003 view 1132020
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_hP4_194_f v003 view 181119
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_hP58_164_2d3i3j v003 view 2881847
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_hP68_194_ef2h2kl v003 view 4652211
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_mC164_15_e20f v003 view 4006089
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_mC16_12_4i v003 view 253430
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_oC92_63_ce2f2g3h v003 view 1219789
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_oF16_69_gh v003 view 210104
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_tI4_141_a v003 view 171030
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_tI8_139_h v003 view 153176
Equilibrium crystal structure and energy for Si in AFLOW crystal prototype A_tP106_137_a5g4h v003 view 18746596


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 Si v007 view 1378
Equilibrium zero-temperature lattice constant for diamond Si v007 view 1754
Equilibrium zero-temperature lattice constant for fcc Si v007 view 1598
Equilibrium zero-temperature lattice constant for sc Si v007 view 1880


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 Si v005 view 15976


Linear thermal expansion coefficient of cubic crystal structures v002

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 diamond Si at 293.15 K under a pressure of 0 MPa v002 view 634942


Potential energy and atomic forces of periodic, non-orthogonal cell of atoms v003

Creators: Daniel S. Karls
Contributor: karls
Publication Year: 2019
DOI: https://doi.org/10.25950/c3dca28e

Given an extended xyz file corresponding to a non-orthogonal periodic box of atoms, use LAMMPS to compute the total potential energy and atomic forces.
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)
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1128
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1222
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1159
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1347
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 783
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 752
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1128
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1128
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 877
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 846
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 877
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 846
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 846
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 877
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1159
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 877
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 877
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 877
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1128
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 783
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1128
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1347
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 846
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1159
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed bcc structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1222
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 783
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 846
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1410
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 752
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 877
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1159
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1159
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1159
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1441
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1128
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 877
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1222
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1222
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1222
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1128
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1222
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1128
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 877
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1222
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 846
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 877
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 752
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 877
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 846
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 846
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 752
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1378
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 877
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 877
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 846
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1128
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1410
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed diamond structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1159
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1128
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1472
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 877
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1159
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1222
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed random structure v003 view 1065
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 908
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 1222
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 1284
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 971
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 1190
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 1222
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 1002
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 940
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 1128
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 1034
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 1096
Potential energy and atomic forces of periodic, non-orthogonal cell of Si atoms in a perturbed sh structure v003 view 908


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 diamond Si view 98210


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 diamond Si view 4003188





This Model requires a Model Driver. Archives for the Model Driver SW__MD_335816936951_005 appear below.


SW__MD_335816936951_005.txz Tar+XZ Linux and OS X archive
SW__MD_335816936951_005.zip Zip Windows archive

Parameter Choices in the SW Potential

In the original Stillinger-Weber paper (SW85: PRB 31:5262, 1985) it is stated that in order to obtain the correct “atomization energy” (cohesive energy) the following choice for epsilon must be made (see Eqn. (2.9) in [SW85]):

epsilon = 50 kcal/mol = 3.4723E-12 erg/atom

Unfortunately, there appears to be an error in the unit conversion here. (There is also an indeterminacy associated with the “kcal” unit which can mean different things.) The kcal and erg values have led to two different values for epsilon being used in articles that cite [SW85].

(a) If the kcal number is selected (assuming that S&W meant the thermochemical kcal unit), then epsilon = 2.1682 eV. This can be seen from the following conversion (which uses NIST conversion factors):

(50 kcal_th/mol)/(6.02214129 mol^-1) = 8.30269461E-23 kcal_th

8.30269461E-23 kcal_th x 4.184E+03 (J/kcal_th) = 3.47384742E-19 J

3.47384742E-19 J x 6.24150934E+18 (eV/J) = 2.168205112 eV

(b) If the erg number is selected, then epsilon = 2.1672 eV, which follows from:

3.4723E-12 erg x 6.24150934E+11 (eV/erg) = 2.16723929 eV

As noted above, both values have been used in simulations that cite the original [SW85] paper. However, it appears that S&W intended to use the 50 kcal_th/mol value since they refer to this number more than once in the paper. (See for example discussion after Eqn. (8.1) in [SW85].) Therefore we argue that the appropriate choice is

epsilon = 8.30269461E-23 kcal_th

or in eV units (reduced to 5-digit significant digits):

epsilon = 2.1682 eV

Note that in the Si.sw parameterization for this potential distributed with LAMMPS, a value of epsilon=2.1683 is used, which appears to be due to slightly different unit conversion.

Another source of confusion is that in [SW85] the potential is fitted to an incorrect value for the cohesive energy of silicon. This is corrected by Balamane in a 1992 paper. See https://openkim.org/cite/MO_113686039439_002 for more details.

SW Functions

See the Stillinger-Weber Model driver page (linked above) for the definition of the model and its functions. The graphs below are for the Stillinger-Weber parametrization for silicon.

The graph of function f2 with the parameter values suggested by Stillinger and Weber (A=7.049556277, B=0.6022245584, p=4, q=0, a=1.80) is given in the following Figure:

The contour plot of the function h in f3 for θ=cos1(0.25)=104.48, as a function of rij and rik is given below:


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2022-01-25T15:33:04.148995 karls