Plots of the potential energy vs interatomic spacing, r, are shown below for all diatom sets associated with the interatomic potential. This calculation provides insights into the functional form of the potential's two-body interactions. A system consisting of only two atoms is created, and the potential energy is evaluated for the atoms separated by 0.02 Å <= r <= 6.0> Å in intervals of 0.02 Å. Two plots are shown: one for the "standard" interaction distance range, and one for small values of r. The small r plot is useful for determining whether the potential is suitable for radiation studies.
The calculation method used is available as the iprPy diatom_scan calculation method.
Clicking on the image of a plot will open an interactive version of it in a new tab. The underlying data for the plots can be downloaded by clicking on the links above each plot.
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Plots of potential energy vs interatomic spacing, r, are shown below for a number of crystal structures. The structures are generated based on the ideal atomic positions and b/a and c/a lattice parameter ratios for a given crystal prototype. The size of the system is then uniformly scaled, and the energy calculated without relaxing the system. To obtain these plots, values of r are evaluated every 0.02 Å up to 6 Å.
The calculation method used is available as the iprPy E_vs_r_scan calculation method.
Clicking on the image of a plot will open an interactive version of it in a new tab. The underlying data for the plots can be downloaded by clicking on the links above each plot.
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Computed lattice constants and cohesive/potential energies are displayed for a variety of crystal structures. The values displayed here are obtained using the following process.
The calculation methods used are implemented into iprPy as the following calculation styles
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Download raw data (including filtered results)
Reference structure matches:
prototype | method | E_{coh} (eV/atom) | E_{pot} (eV/atom) | a_{0} (Å) | b_{0} (Å) | c_{0} (Å) | α (degrees) | β (degrees) | γ (degrees) |
---|---|---|---|---|---|---|---|---|---|
A1--Cu--fcc | dynamic | -4.2796 | -4.2796 | 3.6146 | 3.6146 | 3.6146 | 90.0 | 90.0 | 90.0 |
A3'--alpha-La--double-hcp | dynamic | -4.2779 | -4.2779 | 2.5569 | 2.5569 | 8.344 | 90.0 | 90.0 | 120.0 |
A3--Mg--hcp | static | -4.2762 | -4.2762 | 2.5578 | 2.5578 | 4.1707 | 90.0 | 90.0 | 120.0 |
A2--W--bcc | dynamic | -4.2531 | -4.2531 | 2.8691 | 2.8691 | 2.8691 | 90.0 | 90.0 | 90.0 |
A15--beta-W | static | -4.0469 | -4.0469 | 4.6855 | 4.6855 | 4.6855 | 90.0 | 90.0 | 90.0 |
A5--beta-Sn | static | -3.8365 | -3.8365 | 4.7873 | 4.7873 | 2.4828 | 90.0 | 90.0 | 90.0 |
Ah--alpha-Po--sc | static | -3.5939 | -3.5939 | 2.445 | 2.445 | 2.445 | 90.0 | 90.0 | 90.0 |
A7--alpha-As | box | -3.0299 | -3.0299 | 3.3282 | 3.3282 | 11.2695 | 90.0 | 90.0 | 120.0 |
A4--C--dc | static | -2.7357 | -2.7357 | 5.6066 | 5.6066 | 5.6066 | 90.0 | 90.0 | 90.0 |
Static elastic constants are displayed for the unique structures identified in Crystal Structure Predictions above. The values displayed here are obtained by measuring the change in virial stresses due to applying small strains to the relaxed crystals. The initial structure and the strained states are all relaxed using force minimization.
The calculation method used is available as the iprPy elastic_constants_static calculation method.
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180.44 | 102.449 | 102.449 | 0.0 | 0.0 | 0.0 |
102.449 | 180.44 | 102.449 | 0.0 | 0.0 | 0.0 |
102.449 | 102.449 | 180.44 | 0.0 | 0.0 | 0.0 |
-0.0 | 0.0 | 0.0 | 109.65 | 0.0 | 0.0 |
0.0 | -0.0 | 0.0 | 0.0 | 109.65 | 0.0 |
0.0 | 0.0 | -0.0 | 0.0 | 0.0 | 109.65 |
Static free surface formation energies are displayed for select crystals. The values displayed here are obtained by taking a perfect periodic bulk crystal, slicing along a crystallographic plane, and using force minimization to statically relax the surfaces. The free surface formation energy is computed by comparing the energy of the defect system to the bulk system and dividing by the total surface area created by the cut.
The calculation method used is available as the iprPy surface_energy_static calculation method.
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Surface | γ_{fs} (mJ/m^{2}) |
---|---|
(100) | 1045.6 |
(332) | 1069.84 |
(322) | 1085.67 |
(221) | 1141.37 |
(211) | 1176.8 |
(331) | 1205.87 |
(311) | 1259.11 |
(110) | 1291.61 |
(321) | 1295.92 |
(310) | 1320.21 |
(320) | 1374.49 |
(210) | 1401.69 |
(111) | 920.44 |
Stacking fault energy plots and maps are displayed for select crystals. The values are computed by
The calculation method used is available as the iprPy stacking_fault_map_2D calculation method.
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E_usf a/2 [0 -1 1] | 915.85 |
τ_ideal a/2 [0 -1 1] | 12.03 |
Static point defect formation energies, E_{f}, and elastic dipole tensors, p_{ij}, are displayed for select crystals. Relaxed defect configurations are obtained by taking a 12x12x12 supercell of a perfect periodic bulk crystal, inserting the point defect, and using force minimization to statically relax the atomic positions while keeping the system dimensions constant. E_{f} is computed by comparing the energy of the defect system to the same number of atoms in a perfect bulk crystal. p_{ij} is estimated as the difference in the system's global pressure with and without the defect multiplied by the system's volume.
Simple structural comparisons of the unrelaxed and relaxed defect configurations are used to help determine if the defect structure has relaxed to a different configuration. Relaxed structures that are identified as no longer consistent with the ideal defect definition are excluded from the table below. The only exception to this is if the lowest energy interstitial configuration does not coincide with a known ideal defect, its energies and pressure tensor are included under the listing "relaxed interstitial". The full list of calculation results including the transformed structures and the structural comparison values is included in the csv file available from the "Download raw data" link.
The calculation method used is available as the iprPy point_defect_static calculation method.
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Point Defect | E_{f} (eV) | p_{11} (eV) | p_{22} (eV) | p_{33} (eV) | p_{12} (eV) | p_{13} (eV) | p_{23} (eV) |
---|---|---|---|---|---|---|---|
vacancy | 1.687 | -0.188 | -0.188 | -0.188 | -0.0 | -0.0 | 0.0 |
1nn divacancy | 3.032 | -0.442 | -0.584 | -0.584 | -0.0 | -0.0 | -0.273 |
2nn divacancy | 3.363 | -0.704 | -0.704 | -0.948 | -0.0 | -0.0 | -0.0 |
100 dumbbell | 6.048 | 48.876 | 48.876 | 46.964 | -0.0 | -0.0 | -0.0 |