Materials and Energy
Design thermoelectric compositions with optimized figures of merit for efficient waste-heat conversion at target operating temperatures.

The Challenge
Thermoelectric materials convert heat gradients directly into electricity, offering a route to recover waste heat from industrial processes, vehicles, and power generation. Achieving high performance requires optimizing three interrelated transport properties simultaneously: electrical conductivity, Seebeck coefficient, and thermal conductivity. These properties are physically coupled, making independent optimization impossible. The figure of merit ZT remains below 2.5 for most known materials at practical temperatures, and the materials that do reach high ZT often depend on expensive, toxic, or scarce elements. Progress demands a generative approach that navigates this coupled landscape rather than screening individual properties one at a time.
Traditional thermoelectric development uses Boltzmann transport theory and DFT band-structure calculations to evaluate ZT for known or proposed compositions, then tunes carrier concentration through doping studies. This evaluate-then-optimize loop can only assess candidates that researchers propose from chemical intuition. Worse, improving one transport metric (e.g., suppressing thermal conductivity through nanostructuring) often degrades another (e.g., carrier mobility). Machine-learning models trained on thermoelectric databases reproduce known correlations but offer little help in regions where conventional trade-offs might be circumvented.
The MatterSpace Approach
MatterSpace Lattice treats thermoelectric generation as a single multi-objective optimization problem across the coupled transport landscape. Users specify target ZT, operating temperature window, element constraints, and cost limits. Lattice then generates compositions and crystal structures where electrical conductivity, Seebeck coefficient, and thermal conductivity are co-optimized. The generation process encodes electron and phonon transport physics (band-structure features that enhance Seebeck coefficient, crystal complexity that suppresses lattice thermal conductivity, carrier effective masses that maintain mobility) as coupled constraints.
The Thermoelectrics domain pack provides electron-phonon scattering models, lattice anharmonicity predictors, band-convergence indicators, and theoretical bounds on ZT components. Users set operating conditions (temperature range, minimum ZT, cost per kilogram, forbidden elements), and Lattice generates compositions with predicted transport properties at the specified temperatures. Dynamic stability checks, phase stability across the operating range, and manufacturability scoring are part of validation. Output includes predicted ZT curves as a function of temperature and recommended carrier-concentration ranges for doping optimization.
Specify what the output must satisfy. MatterSpace constructs candidates that meet all constraints simultaneously.
Every output satisfies physical laws, stability criteria, and domain constraints — no post-hoc filtering needed.
Powered by MatterSpace, the Universal Generation Engine for Science and Engineering and a goal-driven inverse generation engine, with physics-aware priors and adaptive dynamics control.
Generation Output
Key Differentiators
Lattice co-optimizes electronic and thermal transport within a single generation pass instead of screening individual metrics sequentially. It generates candidates with intrinsically low lattice thermal conductivity through crystal-structure design (complex unit cells, rattler cages, anharmonic bonding environments) rather than relying on post-synthesis nanostructuring that adds manufacturing complexity. Element constraints allow generation of earth-abundant thermoelectrics free of the tellurium, germanium, and rare-earth dependencies limiting current high-ZT materials. Temperature-dependent property predictions accompany every candidate, enabling direct comparison across operating windows relevant to specific waste-heat sources.
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Whether you are exploring thermoelectrics and waste heat recovery for the first time or scaling an existing research programme, MatterSpace generates novel candidates that satisfy your constraints by construction.
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