Rank perovskites for isothermal solar thermochemical water splitting
Use UMA-S-1p2 vacancy energetics and configurational thermodynamics to estimate H₂ yield at 1400 °C and rank five LaBO₃₋δ perovskites across four candidate polymorphs.
End goal
Estimate H₂ yield for all five LaBO₃₋δ compositions under the stated isothermal pressure swing and rank them from lowest to highest performance.
Overview
Identify the best perovskite for an isothermal two-step thermochemical water-splitting cycle at 1400 °C with an oxygen-pressure swing from 10⁻⁵ to 10⁻⁴ bar. The fixed candidate set is LaCrO₃₋δ, LaMnO₃₋δ, LaFeO₃₋δ, LaCoO₃₋δ, and LaNiO₃₋δ, each initialized in cubic (space group 221), rhombohedral (167), tetragonal (99), and orthorhombic (62) prototypes.
The workflow first selects each composition's 0 K ground-state polymorph using fixed-symmetry UMA-S-1p2 relaxations. It then enumerates neutral oxygen vacancies over increasing supercell sizes, relaxes atomic positions at fixed cell, applies the author-specified OMat24 oxygen reference and O₂ overbinding correction, and extrapolates formation energy against inverse system size to the dilute limit. An ideal configurational-entropy model converts the dilute vacancy energetics into the redox nonstoichiometry swing and H₂ yield in μmol g⁻¹.
Tools allowed
4Constraints
Software
Hardware
Datasets
- Materials Project structure prototypes
Cubic, rhombohedral, tetragonal, and orthorhombic ABO₃ prototype structures retrieved through mp-api.
- OMat24 oxygen-energy reference
The OMat24 DFT O₂ energy and the appropriate overbinding correction specified by the submitter for oxygen chemical potential.
- UMA-S-1p2 foundation potential
The FAIR-Chem model used for pristine and neutral-vacancy structure relaxations and total energies.
Workflow
6-step protocol
The submitted protocol is preserved below; reference outputs and numeric tolerances are being finalized in review.
- 1
Retrieve four perovskite prototypes
Step 1 / 6Pull representative cubic, rhombohedral, tetragonal, and orthorhombic ABO₃ structures from Materials Project with symmetry and provenance intact.
Protocol
- aQuery space groups 221, 167, 99, and 62 through mp-api.
- bStore the source material ids, conventional cells, symmetry labels, and retrieval metadata.
- cValidate stoichiometry and crystallographic site assignments before decoration.
Expected outputFour provenance-tracked ABO₃ prototype structures with validated space groups and site labels.
Simulations · click to test
output carries into step 2 - 2
Build the 20 candidate structures
Step 2 / 6Decorate each prototype with La on the A site and Cr, Mn, Fe, Co, or Ni on the B site, preserving the intended symmetry.
Protocol
- aGenerate LaBO₃ for B ∈ {Cr, Mn, Fe, Co, Ni} in every prototype.
- bStandardize cells and validate oxidation-state, composition, and site occupancy.
- cReject duplicate or symmetry-collapsed inputs before relaxation.
Expected outputA manifest of 20 unique, symmetry-validated LaBO₃ starting structures.
Simulations · click to test
output carries into step 3 - 3
Relax pristine structures with fixed symmetry
Step 3 / 6Run UMA-S-1p2 structural relaxations while constraining each candidate to its submitted polymorph.
Protocol
- aApply consistent calculator, optimizer, force, stress, and convergence settings.
- bRelax lattice and atomic degrees of freedom without leaving the target space group.
- cRecord final energy, volume, forces, stress, symmetry, and convergence status.
Expected outputConverged pristine geometries and comparable 0 K total energies for all valid candidates.
Simulations · click to test
output carries into step 4 - 4
Select each composition's 0 K polymorph
Step 4 / 6Compare the relaxed polymorph energies on a consistent per-formula-unit basis and choose the lowest-energy structure for each B-site element.
Protocol
- aNormalize energies by LaBO₃ formula unit.
- bCheck near-degenerate structures and any relaxation or symmetry failures.
- cCarry one documented ground-state structure per composition into defect calculations.
Expected outputFive selected ground-state polymorphs with energy differences to the three alternatives.
Simulations · click to test
output carries into step 5 - 5
Extrapolate dilute neutral vacancy energies
Step 5 / 6Enumerate symmetry-distinct single oxygen vacancies over several supercell sizes, relax atoms at fixed cell, and extrapolate formation energies to the dilute limit.
Protocol
- aConstruct a convergent series of supercells for each selected polymorph.
- bEnumerate every symmetry-unique neutral single-oxygen-vacancy site.
- cRelax atomic positions with UMA-S-1p2 while keeping each supercell fixed.
- dCalculate vacancy formation energies with the OMat24 O₂ reference and overbinding correction.
- eFit vacancy formation energy against 1 / number of atoms and take the y-intercept as the dilute-limit value.
Expected outputSite-resolved finite-size series, extrapolation diagnostics, and one dilute neutral vacancy formation energy per composition.
Simulations · click to test
output carries into step 6 - 6
Predict H₂ yield and rank candidates
Step 6 / 6Use the dilute vacancy energies with ideal configurational entropy to calculate the reduction-to-oxidation nonstoichiometry swing and convert it to mass-normalized H₂ yield.
Protocol
- aSolve equilibrium vacancy fractions at 1400 °C and 10⁻⁵ bar for reduction.
- bSolve the corresponding state at 1400 °C and 10⁻⁴ bar for oxidation.
- cCalculate Δδ = δred − δox and convert it to μmol H₂ per gram of oxide.
- dPropagate energetic and fit uncertainty, then rank the five compositions from lowest to highest yield.
Expected outputA five-material table of dilute vacancy energies, δred, δox, Δδ, H₂ yield, uncertainty, and final rank.
Simulations · click to test
Evaluation criteria
Track 1 · known and quantitatively verifiable. The candidate set, operating conditions, and workflow are bounded, so an agent run can be compared with reviewer-approved reference calculations. AJ proposed the error and ranking metrics below but did not provide numeric tolerances; those thresholds remain under review and are intentionally not fabricated here.
- Coverage: all 20 composition–prototype combinations are generated, relaxed with fixed symmetry, and included in the ground-state comparison.
- Dilute neutral oxygen-vacancy formation energy: absolute error |Ecalc − Eref| is evaluated against reviewer-approved references after finite-size extrapolation.
- H₂ yield: absolute error |Ycalc − Yref| is evaluated for every composition under the specified 1400 °C and 10⁻⁵↔10⁻⁴ bar cycle.
- Ranking: agreement with the reference ordering is scored with Kendall's τ, including a documented policy for statistically indistinguishable ties.
- Reproducibility: structures, vacancy-site enumeration, relaxation settings, oxygen reference, correction, and extrapolation fits are preserved as auditable artifacts.