× Updated! Computed crystal structures now up for all potential styles.

2003--Nord-J-Albe-K-Erhart-P-Nordlund-K--Ga-N

Citation: J. Nord, K. Albe, P. Erhart, and K. Nordlund (2003), "Modelling of compound semiconductors: analytical bond-order potential for gallium, nitrogen and gallium nitride", Journal of Physics: Condensed Matter, 15(32), 5649-5662. DOI: 10.1088/0953-8984/15/32/324.
Abstract: An analytical bond-order potential for GaN is presented that describes a wide range of structural properties of GaN as well as bonding and structure of the pure constituents. For the systematic fit of the potential parameters reference data are taken from total-energy calculations within the density functional theory if not available from experiments. Although long-range interactions are not explicitly included in the potential, the present model provides a good fit to different structural geometries including defects and high-pressure phases of GaN.

LAMMPS pair_style tersoff (2003--Nord-J--Ga-N--LAMMPS--ipr1)
See Computed Properties
Notes: This file was created and verified by Lucas Hale. The parameter values are comparable to those in the GaN.tersoff file in the August 22, 2018 LAMMPS distribution with this file using higher precision for the derived parameters. The parameter values are identical to the ones in the parameter file used by openKIM model MO_612061685362_001.
File(s):

Implementation Information

This page displays computed properties for the 2003--Nord-J--Ga-N--LAMMPS--ipr1 implementation of the 2003--Nord-J-Albe-K-Erhart-P-Nordlund-K--Ga-N potential. Computed values for other implementations can be seen by clicking on the links below:

Cohesive Energy vs. Interatomic Spacing

Plots of the cohesive energy vs interatomic spacing, r, are shown below for a number of crystal structures. The values were computed using the iprPy E_vs_r_scan calculation method. 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. 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.

Notes and Disclaimers:

  • These values are meant to be guidelines for comparing potentials, not the absolute values for any potential's properties. Values listed here may change if the calculation methods are updated due to improvements/corrections. Variations in the values may occur for variations in calculation methods, simulation software and implementations of the interatomic potentials.
  • The minima identified by this calculation do not guarantee that the associated crystal structures will be stable since no relaxation is performed.
  • NIST disclaimer

Version Information:

  • 2019-02-04. Values regenerated with even r spacings of 0.02 Å, and now include values less than 2 Å when possible. Updated calculation method and parameters enhance compatibility with more potential styles.
  • 2019-04-26. Results for hcp, double hcp, α-As and L10 prototypes regenerated from different unit cell representations. Only α-As results show noticable (>1e-5 eV) difference due to using a different coordinate for Wykoff site c position.
  • 2018-06-13. Values for MEAM potentials corrected. Dynamic versions of the plots moved to separate pages to improve page loading. Cosmetic changes to how data is shown and updates to the documentation.
  • 2017-01-11. Replaced png pictures with interactive Bokeh plots. Data regenerated with 200 values of r instead of 300.
  • 2016-09-28. Plots for binary structures added. Data and plots for elemental structures regenerated. Data values match the values of the previous version. Data table formatting slightly changed to increase precision and ensure spaces between large values. Composition added to plot title and structure names made longer.
  • 2016-04-07. Plots for elemental structures added.

Select a composition:

Download data

Click on plot to load interactive version

2003--Nord-J--Ga-N--LAMMPS--ipr1/EvsR.Ga

Crystal Structure Predictions

Computed lattice constants and cohesive energies are displayed for a variety of crystal structures. The values displayed here are obtained using the following process.

  1. Initial crystal structure guesses are taken from:
    1. The iprPy E_vs_r_scan calculation results (shown above) by identifying all energy minima along the measured curves for a given crystal prototype + composition.
    2. Structures in the Materials Project and OQMD DFT databases.
  2. All initial guesses are relaxed using three independent methods using a 10x10x10 supercell:
    1. "box": The system's lattice constants are adjusted to zero pressure without internal relaxations using the iprPy relax_box calculation with a strainrange of 1e-6.
    2. "static": The system's lattice and atomic positions are statically relaxed using the iprPy relax_static calculation with a minimization force tolerance of 1e-10 eV/Angstrom.
    3. "dynamic": The system's lattice and atomic positions are dynamically relaxed for 10000 timesteps of 0.01 ps using the iprPy relax_dynamic calculation with an nph integration plus Langevin thermostat. The final configuration is then used as input in running an iprPy relax_static calculation with a minimization force tolerance of 1e-10 eV/Angstrom.
  3. The relaxed structures obtained from #2 are then passed as inputs to the iprPy crystal_space_group calculation. This calculation uses the spglib package to identify an ideal crystal unit cell based on the results.
  4. The space group information of the ideal unit cells is compared to the space group information of the corresponding reference structures to identify which structures transformed upon relaxation. The structures that did not transform to a different structure are listed in the table(s) below. The "method" field indicates the most rigorous relaxation method where the structure did not transform. The space group information is also used to match the DFT reference structures to the used prototype, where possible.

Notes and Disclaimers:

  • These values are meant to be guidelines for comparing potentials, not the absolute values for any potential's properties. Values listed here may change if the calculation methods are updated due to improvements/corrections. Variations in the values may occur for variations in calculation methods, simulation software and implementations of the interatomic potentials.
  • The presence of any structures in this list does not guarantee that those structures are stable. Also, the lowest energy structure may not be included in this list.
  • Multiple values for the same crystal structure but different lattice constants are possible. This is because multiple energy minima are possible for a given structure and interatomic potential. Having multiple energy minima for a structure does not necessarily make the potential "bad" as unwanted configurations may be unstable or correspond to conditions that may not be relevant to the problem of interest (eg. very high strains).
  • NIST disclaimer

Version Information:

  • 2019-06-07. Structures with positive or near zero cohesive energies removed from the display tables. All values still present in the raw data files.
  • 2019-04-26. Calculations now computed for each implementation. Results for hcp, double hcp, α-As and L10 prototypes regenerated from different unit cell representations.
  • 2018-06-14. Methodology completely changed affecting how the information is displayed. Calculations involving MEAM potentials corrected.
  • 2016-09-28. Values for simple compounds added. All identified energy minima for each structure are listed. The existing elemental data was regenerated. Most values are consistent with before, but some differences have been noted. Specifically, variations are seen with some values for potentials where the elastic constants don't vary smoothly near the equilibrium state. Additionally, the inclusion of some high-energy structures has changed based on new criteria for identifying when structures have relaxed to another structure.
  • 2016-04-07. Values for elemental crystal structures added. Only values for the global energy minimum of each unique structure given.

Select a composition:

Download raw data (including filtered results)

Reference structure matches:
A2--W--bcc = oqmd-1215149
A4--C--dc = oqmd-1215506
A5--beta-Sn = oqmd-1215595
A6--In--bct = mp-140, oqmd-675527

prototypemethodEcoh (eV)a0 (Å)b0 (Å)c0 (Å)α (degrees)β (degrees)γ (degrees)
A2--W--bccdynamic-2.84143.1443.1443.14490.090.090.0
mp-142dynamic-2.83284.41137.40374.702890.090.090.0
oqmd-676227box-2.82244.36357.59724.607790.090.090.0
mp-142box-2.82214.36317.60014.606690.090.090.0
mp-1067880dynamic-2.82127.15754.9294.551190.090.090.0
mp-10021dynamic-2.78942.72427.52143.404990.090.090.0
mp-1067880box-2.77977.76274.614.408490.090.090.0
mp-569423box-2.75265.82765.82765.827690.090.090.0
A5--beta-Sndynamic-2.71184.98954.98952.627690.090.090.0
Ah--alpha-Po--scdynamic-2.6952.59922.59922.599290.090.090.0
A6--In--bctstatic-2.67732.74892.74894.123690.090.090.0
A1--Cu--fccbox-2.67163.97113.97113.971190.090.090.0
A15--beta-Wbox-2.54024.89434.89434.894390.090.090.0
A4--C--dcdynamic-2.48545.53695.53695.536990.090.090.0
oqmd-1215951box-2.22684.22644.22645.100290.090.0120.0
Date Created: October 5, 2010 | Last updated: June 07, 2019