Diatomics
This task tests diatomic potential-energy curves for agreement with DFT, bond geometry, and physical consistency across interatomic separations.
Reference data: PBE and r2SCAN diatomic curves. The combined diatomics score (CDS, higher is better) combines Accuracy, Geometry, Speed, and Physicality. Reference-relative scores use PBE.
Leaderboard
Interpret with caution: PBE can be unreliable for stretched diatomics, and speed compares heterogeneous hardware. Models marked * lack curves and are scored on their remaining elements. See methodology for reference quality checks and scoring exclusions.
42 of 42 eligible models · Sorted by CDS (descending) · Row numbers follow this filtered order.
| # | ↑ | ||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | ORB v3 | 1 | 1.33 | 0.112 | 0.109 | 0.545 | 0.152 | 0.304 | 1.35 | 35.4 | 1.34 | 210 | 25.5 | 0.834 | 125 | 2.2 | 25.5M | EFSG | 2025-04-05 | 6 Å | 6.47M (133M) MPtrj+Alex+OMat24 | | |
| 2 | Allegro-OAM-L | 1.05 | 1.45 | 0.0822 | 0.146 | 0.921 | 0.121 | 0.385 | 1.09 | 53.2 | 1.37 | 181 | 17.8 | 0.828 | 67.7 | 1.19 | 9.7M | EFSG | 2025-09-08 | 7 Å | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 3 | Nequip-OAM-L | 1 | 1.57 | 0.103 | 0.0637 | 0.618 | 0.247 | 0.506 | 0.605 | 70.2 | 1.57 | 202 | 5.59 | 0.818 | 457 | 8.04 | 9.6M | EFSG | 2025-09-08 | 6 Å | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 4 | Nequip-OAM-XL | 1 | 1.31 | 0.105 | 0.0658 | 0.756 | 0.261 | 0.537 | 0.899 | 65.8 | 1.29 | 224 | 3.48 | 0.796 | 699 | 12.3 | 32.1M | EFSG | 2025-11-30 | 6 Å | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 5 | TACE-OAM-L | 1.01 | 1.63 | 0.125 | 0.112 | 0.963 | 0.202 | 0.615 | 0.955 | 42.8 · 72/73 | 1.6 | 179 | 4.72 | 0.761 | 772 | 13.58 | 82.9M | EFSG | 2026-04-09 | 6 Å | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 6 | Allegro-MP-L | 1.04 | 1.46 | 0.0692 | 0.243 | 1.23 | 0.112 | 0.469 | 1.87 | 62.4 | 1.48 | 101 | 3.3 | 0.747 | 84.6 | 1.49 | 18.7M | EFSG | 2025-09-08 | 6 Å | 146k (1.58M) MPtrj | | |
| 7 | M3GNet | 1.08 | 2.28 | 0.459 | 0.155 | 1.08 | 0.306 | 0.873 | 1.2 | 763 | 2.21 | 216 | 90.6 | 0.747 | 67.3 | 1.18 | 228k | EFSG | 2022-09-20 | 5 Å | 62.8k (188k) MPF | | |
| 8 | AlphaNet-v1-OAM* | 1.03 | 2.49 | 0.83 | 0.127 | 0.892 | 0.3 | 0.574 | 1.03 | 84.3 | 2 | 189 | 4.38 | 0.739 | 196 | 3.45 | 4.65M | EFSG | 2025-05-12 | 5 Å | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 9 | MACE-MPA-0 | 1 | 1.34 | 0.0814 | 0.27 | 1.17 | 0.152 | 0.505 | 1.62 | 48 | 1.32 | 108 | 2.42 | 0.728 | 295 | 5.19 | 9.06M | EFSG | 2024-12-09 | 6 Å | 3.37M (12M) MPtrj+sAlex | | |
| 10 | MatterSim v1 5M | 1.02 | 2.47 | 0.169 | 0.0969 | 1.3 | 0.382 | 1.36 | 1.1 | 64.2 · 72/73 | 2.47 | 225 | 2.41 | 0.717 | 170 | 3 | 4.55M | EFSG | 2024-12-16 | 5 Å | n/a MatterSim | ||
| 11 | Eqnorm MPtrj | 1.02 | 1.47 | 0.266 | 0.21 | 1.02 | 0.219 | 0.553 | 1.91 | 61.2 | 1.46 | 138 | 12.4 | 0.711 | 443 | 7.79 | 1.31M | EFSG | 2025-05-26 | 6 Å | 146k (1.58M) MPtrj | | |
| 12 | GRACE-3L-OAM-L | 1.05 | 3.18 | 0.418 | 0.162 | 1.1 | 0.419 | 0.867 | 0.959 | 66.5 · 68/73 | 3.35 | 173 | 7.23 | 0.699 | 88.9 | 1.56 | 42.1M | EFSG | 2026-07-02 | 6 Å | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 13 | SevenNet-Omni-i12* | 1.03 | 1.53 | 0.526 | 0.12 | 0.57 | 0.174 | 0.4 | 1.77 | 57.5 · 69/73 | 1.51 | 631 | 15.8 | 0.696 | 4.52k | 79.56 | 54.9M | EFSG | 2026-01-12 | 6 Å | n/a COSMOSDataset | | |
| 14 | GRACE-2L-OAM-L | 1.05 | 2.18 | 0.616 | 0.141 | 1.93 | 0.201 | 1.53 | 1.29 | 75.2 | 1.9 | 119 | 5.34 | 0.694 | 102 | 1.79 | 26.4M | EFSG | 2025-09-09 | 6 Å | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 15 | BAM-MP-core | 1.01 | 1.41 | 0.0847 | 0.237 | 1.32 | 0.34 | 1.11 | 1.64 | 82.6 | 1.39 | 107 | 4.42 | 0.685 | 499 | 8.78 | 17M | EFSG | 2026-07-16 | 6 Å | 146k (1.58M) MPtrj | | |
| 16 | ORB v2 MPA | 1.14 | 2.97 | 0.794 | 0.483 | 1.57 | 0.154 | 0.314 | 1.25 | 69.7 | 0.989 | 104 | 0.191 | 0.678 | 120 | 2.11 | 25.2M | EFSD | 2024-10-11 | 10 Å | 3.25M (32.1M) MPtrj+Alex | | |
| 17 | MatRIS-10M-OAM | 1.03 | 2.84 | 0.295 | 0.0793 | 1.23 | 0.21 | 0.652 | 1.55 | 97.8 | 2.82 | 288 | 35.9 | 0.678 | 783 | 13.78 | 10.4M | EFSGM | 2025-10-29 | 6 Å | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 18 | ORB v2 MPtrj | 1.02 | 2.39 | 0.222 | 0.735 | 1.94 | 0.165 | 0.401 | 1.43 | 90.2 | 1 | 109 | 0.23 | 0.667 | 106 | 1.86 | 25.2M | EFSD | 2024-10-14 | 10 Å | 146k (1.58M) MPtrj | | |
| 19 | HIENet | 1.02 | 2.46 | 0.637 | 0.245 | 1.25 | 0.522 | 0.731 | 1.45 | 94.1 | 2.29 | 118 | 3.03 | 0.649 | 265 | 4.67 | 7.51M | EFSG | 2025-07-01 | 5 Å | 146k (1.58M) MPtrj | | |
| 20 | eSEN-30M-OAM | 1.09 | 2.25 | 0.531 | 0.231 | 1.06 | 0.168 | 0.298 | 2.03 | 40.2 · 70/73 | 2.32 | 143 | 38 | 0.648 | 870 | 15.3 | 30.2M | EFSG | 2025-03-17 | 6 Å | 6.6M (113M) MPtrj+OMat24+sAlex | ||
| 21 | EquFlashV2* | 1.06 | 1.58 | 0.553 | 0.102 | 1.39 | 0.193 | 0.373 | 1.91 | 52.2 · 69/73 | 1.57 | 362 | 44.9 | 0.644 | 1.39k | 24.5 | 44.9M | EFSG | 2026-06-11 | 6 Å | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 22 | MACE-MP-0 | 1.28 | 1.37 | 0.289 | 0.399 | 1.46 | 0.295 | 0.891 | 2.09 | 76 · 71/73 | 1.37 | 158 | 18.9 | 0.627 | 269 | 4.73 | 4.69M | EFSG | 2023-07-14 | 6 Å | 146k (1.58M) MPtrj | | |
| 23 | Nequip-MP-L | 1.03 | 1.83 | 0.248 | 0.196 | 2.01 | 0.296 | 1 | 3.28 | 110 · 72/73 | 1.84 | 373 | 2.19 | 0.573 | 463 | 8.15 | 9.6M | EFSG | 2025-09-08 | 6 Å | 146k (1.58M) MPtrj | | |
| 24 | Prophet-OAME-MBD | 1.23 | 2.54 | 1.47 | 0.235 | 1.1 | 0.0608 | 0.348 | 2 | 41.1 | 2.75 | 345 | 276 | 0.572 | 3.74k | 65.8 | 62.3M | EFSG | 2026-09-13 | 7 Å | 16.4M (324M) MPtrj+OMat24+sAlex+ELEMENTA | | |
| 25 | Nequix MP PFT | 1.29 | 2.24 | 0.576 | 0.639 | 1.68 | 0.259 | 0.571 | 2.89 | 105 | 2.21 | 81.5 | 18.7 | 0.565 | 57.3 | 1.01 | 708k | EFSHG | 2026-01-08 | 6 Å | 154k (1.59M) MPtrj+MDR-MP PBE ωq | | |
| 26 | Nequix MP | 1.31 | 2.17 | 0.551 | 0.665 | 1.71 | 0.289 | 0.573 | 2.91 | 90.4 | 2.17 | 79.9 | 16.7 | 0.561 | 56.8 | 1 | 708k | EFSG | 2025-08-17 | 6 Å | 146k (1.58M) MPtrj | | |
| 27 | GRACE-1L-OAM | 1.09 | 2.38 | 0.899 | 0.155 | 3.43 | 0.197 | 3.26 | 1.68 | 73.2 | 2.15 | 130 | 3.57 | 0.552 | 79.3 | 1.39 | 3.45M | EFSG | 2025-02-06 | 6 Å | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 28 | DPA-3.1-3M-FT | 1.77 | 2.47 | 2.1 | 0.262 | 1.12 | 0.183 | 0.398 | 2.37 | 51.6 | 2.84 | 307 | 270 | 0.533 | 671 | 11.81 | 3.27M | EFSG | 2025-06-05 | 6 Å | n/a OpenLAM | | |
| 29 | SevenNet-l3i5* | 1.07 | 1.95 | 1.43 | 0.228 | 1.15 | 0.193 | 7.24 | 2.65 | 149 · 72/73 | 2.06 | 564 | 193 | 0.533 | 2.73k | 48.09 | 1.17M | EFSG | 2024-12-10 | 5 Å | 146k (1.58M) MPtrj | | |
| 30 | GRACE-2L-OAM | 1.07 | 2.48 | 1.72 | 0.138 | 3.42 | 0.265 | 3.28 | 1.53 | 76.1 | 2.19 | 137 | 3.1 | 0.527 | 90.9 | 1.6 | 12.6M | EFSG | 2025-02-06 | 6 Å | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 31 | eSEN-30M-MP | 1.11 | 3.23 | 0.399 | 0.645 | 2.09 | 0.586 | 0.941 | 2.9 | 72.4 | 3.22 | 62 | 20.1 | 0.417 | 878 | 15.44 | 30.1M | EFSG | 2025-03-17 | 6 Å | 146k (1.58M) MPtrj | ||
| 32 | EquiformerV3+DeNS-MP | 1.18 | 4.4 | 0.844 | 0.681 | 1.95 | 0.444 | 0.846 | 3.06 | 84.3 | 4.59 | 78.6 | 28.9 | 0.413 | 684 | 12.04 | 30.3M | EFSG | 2026-04-07 | 6 Å | 146k (1.58M) MPtrj | | |
| 33 | PET-OAM-XL | 1.03 | 1.72 | 0.168 | 0.349 | 3.77 | 1.19 | 2.9 | 2.97 | 97.3 · 50/73 | 1.77 | 302 | 2.46 | 0.388 | 329 | 5.78 | 730M | EFSG | 2026-01-10 | n/a | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 34 | GRACE-2L-MPtrj | 1.29 | 1.91 | 0.21 | 1.19 | 3.6 | 0.411 | 3.55 | 4.29 | 125 · 66/73 | 1.94 | 296 | 3.91 | 0.355 | 92 | 1.62 | 15.3M | EFSG | 2024-11-21 | 6 Å | 146k (1.58M) MPtrj | | |
| 35 | EquFlash* | 1.02 | 1.42 | 345 | 0.132 | 1.06e29 | 0.159 | 0.336 | 1.84e30 | 47.7 · 66/73 | 1.4 | 8.14e32 | 1.68e4 | 0.328 | 602 | 10.6 | 28.7M | EFSG | 2025-06-23 | 6 Å | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 36 | CHGNet | 2.21 | 1.84 | 2.1 | 0.403 | 3.21 | 0.268 | 16.9 | 4.93 | 183 | 2.01 | 415 | 206 | 0.297 | 99.4 | 1.75 | 413k | EFSGM | 2023-03-03 | 5 Å | 146k (1.58M) MPtrj | | |
| 37 | eqV2 M | 1.93 | 8.57 | 4.16 | 0.724 | 2.15 | 0.379 | 0.994 | 4.98 | 242 | 2.12 | 345 | 7.94 | 0.283 | 618 | 10.87 | 86.6M | EFSD | 2024-10-18 | 12 Å | 3.37M (102M) MPtrj+OMat24 | ||
| 38 | TECE-OAM-RRA-1.0 | 1.33 | 3.81 | 2.72 | 0.307 | 3.92 | 0.695 | 0.773 | 2.31 | 82.4 · 68/73 | 3.59 | 300 | 70.1 | 0.270 | 987 | 17.37 | 222M | EFSG | 2026-07-05 | 6 Å | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 39 | EquiformerV3+DeNS-OAM | 1.3 | 7.1 | 14.3 | 0.59 | 1.84 | 0.689 | 2.4 | 4.19 | 229 · 68/73 | 7.12 | 562 | 642 | 0.269 | 622 | 10.94 | 30.3M | EFSG | 2026-04-07 | 6 Å | 6.6M (113M) MPtrj+OMat24+sAlex | | |
| 40 | MatRIS-10M-MP | 1.08 | 3.41 | 0.847 | 0.655 | 3.29 | 0.771 | 1.66 | 3.85 | 253 · 72/73 | 3.4 | 60.9 | 19.7 | 0.264 | 788 | 13.87 | 10.4M | EFSGM | 2025-10-29 | 6 Å | 146k (1.58M) MPtrj | | |
| 41 | eqV2 S DeNS | 2.99 | 11.9 | 8.21 | 1.26 | 2.96 | 1.04 | 1.18 | 2.22 | 295 · 71/73 | 4.54 | 176 | 14.1 | 0.258 | 436 | 7.67 | 31.2M | EFSD | 2024-10-18 | 12 Å | 146k (1.58M) MPtrj | ||
| 42 | DPA-4.0.1-Pro-MPtrj | 2.34 | 4.25 | 1.38e3 | 0.538 | 3.48 | 0.33 | 97.2 | 9.06e5 | 5.71e3 · 69/73 | 4.22 | 1.58e9 | 1.76e9 | 0.123 | 702 | 12.35 | 22.8M | EFSG | 2026-06-11 | 6 Å | 146k (1.58M) MPtrj | |
CDS vs twall
This defaults to a cost-vs-fidelity Pareto: each model's full diatomic-sweep wall time against its CDS, with marker size showing model parameters and color the training-set size. Use the axis/color/size selectors to compare any pair of metrics and metadata.
Test set: Diatomic curves
92 homonuclear dimers · 92 elements · PBE and r2SCAN
Potential-energy and force curves from H₂ to U₂ probe bond geometry, dissociation, repulsion, and smoothness. PBE reference-relative errors exclude low-quality reference curves.
Public DFT curves include energies, forces, and site-projected magnetic moments. Reference-relative scores use PBE.
Explore DFT reference curves using the curve viewer below. Select models there to compare predictions.
Diatomic Energy Curves
- PBE (DFT)
- r2SCAN (DFT)
- Allegro-OAM-L
- Nequip-OAM-L
- ORB v3
H-H
He-He
Li-Li
Be-Be
B-B
C-C
N-N
O-O
F-F
Ne-Ne
Na-Na
Mg-Mg
Al-Al
Si-Si
P-P
S-S
Cl-Cl
Ar-Ar
K-K
Ca-Ca
Sc-Sc
Ti-Ti
V-V
Cr-Cr
Mn-Mn
Fe-Fe
Co-Co
Ni-Ni
Cu-Cu
Zn-Zn
Ga-Ga
Ge-Ge
As-As
Se-Se
Br-Br
Kr-Kr
Rb-Rb
Sr-Sr
Y-Y
Zr-Zr
Nb-Nb
Mo-Mo
Tc-Tc
Ru-Ru
Rh-Rh
Pd-Pd
Ag-Ag
Cd-Cd
In-In
Sn-Sn
Sb-Sb
Te-Te
I-I
Xe-Xe
Cs-Cs
Ba-Ba
La-La
Ce-Ce
Pr-Pr
Nd-Nd
Pm-Pm
Sm-Sm
Eu-Eu
Gd-Gd
Tb-Tb
Dy-Dy
Ho-Ho
Er-Er
Tm-Tm
Yb-Yb
Lu-Lu
Hf-Hf
Ta-Ta
W-W
Re-Re
Os-Os
Ir-Ir
Pt-Pt
Au-Au
Hg-Hg
Tl-Tl
Pb-Pb
Bi-Bi
Po-Po
At-At
Rn-Rn
Fr-Fr
Ra-Ra
Ac-Ac
Th-Th
Pa-Pa
U-U
Methodology
Reference provenance, scoring exclusions, and contributions
Data validation for this task is less mature than for discovery; interpret the results with caution.
The PBE/r2SCAN DFT reference curves are documented in the DFT reference provenance note, including the VASP setup, spin-ladder generation, warm-start strategy, postprocessing, and quality checks. The TMI page shows each reference curve’s per-atom magnetic moments vs separation, useful for spotting residual SCF spin-state artifacts and for benchmarking spin-aware MLIPs. Expert advice on how the DFT reference curves might be improved would be appreciated (thanks to Andrew Rosen for guidance on obtaining correct dimer PECs)!
Leaderboard metrics use the Materials Project elements between H and U. Po, At, Rn, Fr, and Ra are excluded to keep the scored set compatible with MP-derived training data. Self-consistency metrics (smoothness, flips, jumps) average over this set. Reference-relative PBE errors additionally exclude curves that fail a smoothness quality gate (energy jump ≥ 1.5 eV and ≥ 3 energy-difference sign flips inside the scored window). SCF convergence issues can make these references too jumpy to score models against. Curves excluded from metrics are still shown in the plots. Models missing curves within the scored set (marked *) are scored on their remaining elements.
With thanks to MLIP Arena by Yuan Chiang, who first benchmarked MLIPs on self-consistency metrics of homonuclear diatomic curves and inspired this task.
We welcome backfill PRs from model authors for models still missing diatomic metrics; see the diatomics runner, calculator registry, and model enum.