MatterGen

A joint 3D diffusion model generates atom types, coordinates and periodic lattices conditioned on target properties, and Density Functional Theory relaxations verify stability and property values.

Read the paper

The loop

  1. Proposes

    3D periodic crystal structures (atom species, fractional coordinates and lattice vectors) sampled by an equivariant diffusion model with property adapter modules

  2. Judged by

    Machine-learned interatomic potential pre-screening followed by Density Functional Theory (DFT) structural relaxation, convex-hull stability and property calculation

  3. Steers

    Adapters are fine-tuned on a labelled dataset; generated candidates are pre-relaxed with MatterSim and checked with DFT afterwards.

Headline result

In Nature (2025), MatterGen more than doubled the fraction of generated inorganic structures that are both novel and thermodynamically stable (within 0.1 eV/atom of the DFT convex hull) compared with prior generative baselines, and reduced root-mean-square atomic displacement during DFT relaxation by more than 50%. In a targeted high-bulk-modulus search, the authors synthesized a generated compound (TaCr2O6) in the lab whose measured bulk modulus (169 GPa) matched the target within 20%.

What this does not prove

Stability and property rates are primarily evaluated in 0 K DFT simulations rather than wet-lab synthesis; only one candidate structure (TaCr2O6, which turned out to be a disordered solid solution in experiment) was synthesized in the paper.

How it generalizes the harness

An equivariant 3D diffusion model generates crystals directly in continuous and discrete symmetry spaces, and DFT physics calculations check generated candidates afterwards, while the adapters are fine-tuned on a labelled dataset.

Classification

Classification of MatterGen
What it proposesCrystal structure
Generative modelEquivariant score-based diffusion model over atom types, coordinates and periodic lattices with fine-tuned adapter modules (not an LLM)
Algorithmic authorityMatterSim pre-relaxation and Density Functional Theory (DFT) convex-hull and property evaluation, plus X-ray diffraction and nanoindentation on the synthesized sample
FeedbackChecks at several fidelities
What gets updatedModel weights and population of candidates
When it runsDuring training
ValidityApproximate physics (simulation, not lab results)
EvidenceExperiments reported
LineageOriginal system