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Sim_LAMMPS_ModifiedTersoff_KumagaiIzumiHara_2007_Si__SM_773333226968_000

Interatomic potential for Silicon (Si).
Use this Potential

Title
A single sentence description.
LAMMPS Modified Tersoff potential for Si by Kumagai et al. (2007) v000
Description This potential corresponds to the 'MOD' potential given in T. Kumagai, S. Izumi, S. Hara, S. Sakai, Comp. Mat. Sci., 39, 457 (2007).

Abstract:
The Tersoff potential is one of the most widely used interatomic potentials for silicon. However, its poor description of the elastic constants and melting point of diamond silicon is well known. In this research, three bond-order type interatomic potentials have been developed: the first one is fitted to the elastic constants by employing the Tersoff potential function form, the second one is fitted to both the elastic constants and melting point by employing the Tersoff potential function form and the third one is fitted to both the elastic constants and melting point by employing the modified Tersoff potential function form in which the angular-dependent term is improved. All of developed potentials well reproduce the elastic constants of diamond silicon as well as the cohesive energies and equilibrium bond lengths of silicon polytypes. The third potential can reproduce the melting point, while the second one cannot reproduce that. The elastic constants and melting point calculated using the third potential turned out to be C11 = 166.4 GPa, C12 = 65.3 GPa, C44 = 77.1 GPa and Tm = 1681 K. It was also found that only elastic constants can be reproduced using the original Tersoff potential function, and that our proposed angular-dependent term is a key to reproducing the melting point.
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
Content Origin NIST IPRP (https://www.ctcms.nist.gov/potentials/Si.html)
Contributor Daniel S. Karls
Maintainer Daniel S. Karls
Publication Year 2019
How to Cite

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

[1] Kumagai T, Izumi S, Hara S, Sakai S. Development of bond-order potentials that can reproduce the elastic constants and melting point of silicon for classical molecular dynamics simulation. Computational Materials Science [Internet]. 2007;39(2):457–64. Available from: http://www.sciencedirect.com/science/article/pii/S0927025606002254 doi:10.1016/j.commatsci.2006.07.013 — (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] LAMMPS Modified Tersoff potential for Si by Kumagai et al. (2007) v000. OpenKIM; 2019. doi:10.25950/9d94dc3d

[3] Tadmor EB, Elliott RS, Sethna JP, Miller RE, Becker CA. The potential of atomistic simulations and the Knowledgebase of Interatomic Models. JOM. 2011;63(7):17. doi:10.1007/s11837-011-0102-6

[4] Elliott RS, Tadmor EB. Knowledgebase of Interatomic Models (KIM) Application Programming Interface (API). OpenKIM; 2011. doi:10.25950/ff8f563a

Click here to download the above citation in BibTeX format.
Funding Not available
Short KIM ID
The unique KIM identifier code.
SM_773333226968_000
Extended KIM ID
The long form of the KIM ID including a human readable prefix (100 characters max), two underscores, and the Short KIM ID. Extended KIM IDs can only contain alpha-numeric characters (letters and digits) and underscores and must begin with a letter.
Sim_LAMMPS_ModifiedTersoff_KumagaiIzumiHara_2007_Si__SM_773333226968_000
DOI 10.25950/9d94dc3d
https://doi.org/10.25950/9d94dc3d
https://search.datacite.org/works/10.25950/9d94dc3d
KIM Item TypeSimulator Model
KIM API Version2.1
Simulator Name
The name of the simulator as defined in kimspec.edn.
LAMMPS
Potential Type tersoff
Simulator Potential tersoff/mod

Verification Check Dashboard

(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
N/A vc-thread-safe mandatory
The model returns the same energy and forces when computed in serial and when using parallel threads for a set of configurations. Note that this is not a guarantee of thread safety; see full description.
Results Files

Visualizers (in-page)


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


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



Tests



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 muliplied 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 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1951
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2943
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2143
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2239
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2879
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2879
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2239
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2143
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2079
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2911
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2143
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2751
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2815
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2047
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2943
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2975
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2751
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2111
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2239
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2847
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2143
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2239
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2079
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2815
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1919
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2239
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2751
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2815
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2175
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2751
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2111
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2751
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2175
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2879
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2815
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2175
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2847
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2815
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2175
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2111
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2015
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2079
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2079
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2239
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2751
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2751
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2111
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 1983
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2879
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2239
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2111
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 3071
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2239
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2239
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2847
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2847
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2175
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2751
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2239
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2111
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2239
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2111
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2175
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2271
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2111
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2431
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2847
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2111
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2111
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2463
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2687
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2111
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2815
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2783
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2399
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2335
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2207
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2719
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2623
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2527
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2591
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2367
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2239
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2751
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2879
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2751
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2495
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2655
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2303
Conjugate gradient relaxation of random finite cluster of Si atoms v003 view 2559
Conjugate gradient relaxation of random finite cluster of Si atoms v003