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MOFDiff: Coarse-grained Diffusion for Metal-Organic Framework Design
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Proposes MOFDiff, a coarse-grained equivariant diffusion model that generates building-block-level MOF structures, recovers all-atom structures via an assembly algorithm and UFF relaxation, and optimizes MOFs for CO2 working capacity.
Problem
Template-based MOF generation is limited in chemical diversity, and atomic-resolution diffusion for MOFs (tens to hundreds of atoms per cell) is computationally hard and yields unphysical nodes/linkers.
Approach
Model MOFs as coarse-grained building blocks: a diffusion process over block coordinates and contrastively learned block embeddings (conditioned on a periodic GemNet-OC latent code), followed by a differentiable overlap-based assembly of connection points and force-field relaxation.
Key results
- Of 10,000 generated samples, 2,998 are valid, novel, and unique MOFs.
- MOFDiff-optimized MOFs reach CO2 working capacities up to 4.89 mol/kg; 9 of the top 10 outperform the literature MOFs compared.
- Requires 14.6 GCMC simulations per MOF with working capacity above 2 mol/kg versus 58.1 for naive BW-DB sampling (75% reduction).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Optimize latent vectors for CO2 working capacity | MOFDiff · Carbon capture MOFs | CO2 working capacity [mol/kg]: 3.82 -> 4.89 | Helped |
| Use MOFDiff instead of naive BW-DB sampling to find qualifying MOFs | Carbon capture candidate search · MOFs with working capacity >2 mol/kg | GCMC simulations per qualifying MOF: 58.1 -> 14.6 | Helped |
| Generate larger MOFs with more building blocks | MOFDiff · MOF validity | validity percentage | Hurt |
| Optimize MOFDiff samples for carbon capture | MOFDiff · Top 10 carbon capture candidates | MOFDiff candidates among top 10: 9 out of the top 10 | Helped |
Surprising findings
- Validity percentage declines as the number of building blocks increases.
Limitations
- Validity drops for MOFs with more building blocks.
- Lattice parameters must be very accurate; lattice is fixed during diffusion.
- Relies on GCMC simulations with a re-implemented workflow whose labels differ from BW-DB (~30% underestimation of working capacity).
Experimental setup
Datasets: BW-DB
Benchmarks: BW-DB
Metrics: validity rate novelty uniqueness pore limiting diameter gravimetric surface area density void fraction CO2 working capacity CO2/N2 selectivity GCMC simulations per qualifying MOF
Baselines: BW-DB original labels 18 literature MOFs (e.g., Al-PMOF, UiO-66, MIL-53(Al)) naive sampling from BW-DB
Builds on: DDPM GemNet-OC MOFid UFF MOFChecker
Closest papers by meaning
- MOFFlow: Flow Matching for Structure Prediction of Metal-Organic Frameworks (ICLR 2025 · similarity 0.91)
- Flexible MOF Generation with Torsion-Aware Flow Matching (NeurIPS 2025 · similarity 0.89)
- MolHIT: Advancing Molecular-Graph Generation with Hierarchical Discrete Diffusion Models (NeurIPS 2026 · similarity 0.85)
- SubgDiff: A Subgraph Diffusion Model to Improve Molecular Representation Learning (NeurIPS 2024 · similarity 0.84)
- Graph Diffusion that can Insert and Delete (NeurIPS 2025 · similarity 0.84)
- Periodic Materials Generation using Text-Guided Joint Diffusion Model (ICLR 2025 · similarity 0.84)
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