Materials and Energy
Generate novel thermoelectric material compositions with optimized figures of merit for efficient waste heat conversion.

The Challenge
Thermoelectric materials convert heat gradients directly into electricity, offering a pathway to recover the enormous amounts of waste heat lost in industrial processes, vehicle exhaust, and power generation. However, achieving high thermoelectric performance requires simultaneously optimizing three interrelated transport properties — electrical conductivity, Seebeck coefficient, and thermal conductivity — that are physically coupled in ways that make independent optimization impossible. The figure of merit ZT remains below 2.5 for most known materials at practical operating temperatures, and the materials that do achieve high ZT often rely on expensive, toxic, or scarce elements. The field needs a generative approach that navigates the coupled optimization landscape rather than screening individual properties sequentially.
Traditional thermoelectric material development uses Boltzmann transport theory and DFT band structure calculations to evaluate ZT for known or proposed compositions, followed by experimental optimization of carrier concentration through doping studies. This evaluate-then-optimize approach is inherently limited: it can only assess candidates that researchers propose based on chemical intuition, and the coupled nature of thermoelectric transport properties means that improving one metric (e.g., reducing thermal conductivity through nanostructuring) often degrades another (e.g., carrier mobility). ML models trained on thermoelectric databases reproduce known structure-property correlations but cannot generate compositions in unexplored regions where the conventional trade-offs between transport properties might be circumvented.
The MatterSpace Approach
MatterSpace Lattice generates thermoelectric candidates by navigating the coupled transport property landscape as a single multi-objective optimization problem. Specify target ZT range, operating temperature window, element constraints, and cost limits, and Lattice generates novel compositions and crystal structures where electrical conductivity, Seebeck coefficient, and thermal conductivity are co-optimized. The generation process encodes the physics of electron and phonon transport — band structure features that enhance Seebeck coefficient, crystal complexity that suppresses lattice thermal conductivity, and carrier effective masses that maintain mobility — as coupled constraints rather than independent objectives.
The Thermoelectrics domain pack provides the transport physics framework for Lattice generation: electron-phonon scattering models, lattice anharmonicity predictors, band convergence indicators, and the empirical and theoretical bounds on ZT components. Users define operating conditions — temperature range, minimum ZT target, maximum cost per kilogram, forbidden elements — and Lattice generates compositions with predicted transport properties at the specified temperatures. Validation includes dynamic stability checks, phase stability assessment across the operating temperature range, and manufacturability scoring. Output candidates include 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 a domain-specific generation engine with physics-aware priors and adaptive dynamics control.
Generation Output
Key Differentiators
MatterSpace Lattice treats thermoelectric generation as the coupled multi-physics problem it actually is, co-optimizing electronic and thermal transport properties within a single generation pass rather than sequentially screening for individual metrics. The system 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 constraint enforcement allows generation of earth-abundant thermoelectric candidates that avoid the tellurium, germanium, and rare-earth dependencies limiting current high-ZT materials. Temperature-dependent property prediction accompanies every candidate, enabling direct comparison across the operating windows relevant to specific waste heat applications.
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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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