Rb-2021-08-04-all-icsd

The current structure dataset comprises 14944 structures generated from unique ICSD prototype structures composed of single elements with zero oxidation state. A more detailed procedure is found in Phys. Rev. B 99, 214108 (2019). The procedure to estimate interatomic potentials from the dataset is found in Phys. Rev. B 99, 214108 (2019) and Phys. Rev. B 102, 174104 (2020).

Improvement from **-dataset-10000-all-icsd

• More robust for structures with a small interatomic distance

• More robust for structures with a large interatomic distance

• More complex potential models are included.

• MLPs are estimated without using DFT stress tensors.

• MLPs are estimated by using small regression weights for energetically unstable structures.

Predictions using Pareto optimal MLPs

The cohesive energy and volume are obtained by performing a local structure optimization from the DFT equilibrium structure. In addition, the DFT equilibrium structure is obtained by optimizing a prototype structure included in ICSD, and the prototype is used as the structure legend in the figure. Therefore, the structure type of the converged structure is sometimes different from that shown in the legend even if the potential energy surface predicted by MLP is almost the same as the true one.

The other properties predicted by each Pareto optimal MLP are available from column Predictions in the following table.

Pareto optimals

Name	Time [ms] (1core/36cores)	RMSE [meV/atom]/[eV/A]	Predictions	Files
pair-1	0.012 / 0.003	107.47 / 0.1253	–	–
pair-14	0.017 / 0.038	76.565 / 0.0769	–	–
pair-27	0.018 / 0.005	62.348 / 0.0915	–	–
pair-15	0.026 / 0.039	37.260 / 0.0473	–	–
pair-28	0.027 / 0.007	22.367 / 0.0430	–	–
pair-16	0.039 / 0.040	14.247 / 0.0263	–	–
pair-29	0.039 / 0.009	5.4530 / 0.0147	–	–
pair-32	0.051 / 0.010	5.1522 / 0.0144	–	–
pair-30	0.053 / 0.011	2.9939 / 0.0077	predictions	mlp.lammps input log
pair-33	0.069 / 0.012	2.6492 / 0.0069	predictions	mlp.lammps input log
pair-34	0.096 / 0.016	1.9791 / 0.0057	predictions	mlp.lammps input log
pair-36	0.158 / 0.027	1.8470 / 0.0054	predictions	mlp.lammps input log
pair-39	0.229 / 0.030	1.7299 / 0.0049	predictions	mlp.lammps input log
gtinv-250	0.716 / 0.056	1.3790 / 0.0040	predictions	mlp.lammps input log
gtinv-185	0.728 / 0.058	1.3779 / 0.0040	predictions	mlp.lammps input log
gtinv-318	0.906 / 0.068	1.0571 / 0.0029	predictions	mlp.lammps input log
gtinv-265	0.983 / 0.070	1.0285 / 0.0029	predictions	mlp.lammps input log
gtinv-321	1.240 / 0.088	0.7216 / 0.0026	predictions	mlp.lammps input log
gtinv-205	1.307 / 0.088	0.7053 / 0.0026	predictions	mlp.lammps input log
gtinv-270	1.323 / 0.091	0.6973 / 0.0026	predictions	mlp.lammps input log
gtinv-210	1.633 / 0.113	0.6785 / 0.0027	predictions	mlp.lammps input log
gtinv-275	1.824 / 0.126	0.6743 / 0.0026	predictions	mlp.lammps input log
gtinv-330	1.834 / 0.118	0.6323 / 0.0021	predictions	mlp.lammps input log
gtinv-220	1.890 / 0.117	0.6186 / 0.0021	predictions	mlp.lammps input log
gtinv-285	2.031 / 0.123	0.6116 / 0.0021	predictions	mlp.lammps input log
gtinv-225	2.394 / 0.148	0.5273 / 0.0020	predictions	mlp.lammps input log
gtinv-290	2.494 / 0.149	0.5210 / 0.0020	predictions	mlp.lammps input log
gtinv-295	3.164 / 0.186	0.5105 / 0.0019	predictions	mlp.lammps input log
gtinv-325	4.984 / 0.282	0.4517 / 0.0020	predictions	mlp.lammps input log
gtinv-291	7.688 / 0.412	0.3893 / 0.0017	predictions	mlp.lammps input log
gtinv-296	9.822 / 0.510	0.3866 / 0.0016	predictions	mlp.lammps input log
gtinv-337	9.893 / 0.502	0.3811 / 0.0016	predictions	mlp.lammps input log

Column “Time” shows the time required to compute the energy and forces for 1 MD step and 1 atom, which is estimated from a simulation of 10 runs for a structure with 284 atoms using a workstation with Intel(R) Xeon(R) CPU E5-2695 v4 @ 2.10GHz. Note that the MLPs should be carefully used for extreme structures. The MLPs often return meaningless values for them.

• All Pareto optimal MLPs are available here.