APODEX LAB · #036

APODEX LAB · #036

Advanced & Functional Materials

·

Thermoelectric Materials Verification

Thermoelectric Materials

For five 100–300 °C compositions reported with ZT ≥ 1.0, what is the in-plane direction-consistent ZT at 200 °C across four pellets and two laboratories?
Thermoelectric Materialsprobekeeperpolesmagnet ring

THE QUESTION

Which composition reaches ZT above [threshold] at [temperature] — and does the predicted power-factor versus thermal-conductivity decomposition match measurement? Verifier: synthesis then Seebeck, resistivity and thermal-diffusivity measurement. [baseline: to verify]
Same-pellet transport measurements to verify thermoelectric figures of merit between 100 and 300 °C.

WORK ORDER

Direction-consistent remeasurement of 100–300 °C thermoelectric compositions with reported ZT above 1

BACKGROUND

What this Apodex Lab is

Background — Thermoelectric materials are ranked by the dimensionless figure of merit ZT = S²T/(ρκ), where S is the Seebeck coefficient, ρ the electrical resistivity and κ the thermal conductivity, itself obtained as the product of laser-flash thermal diffusivity, density and heat capacity. The field pursues ZT above 1 in a given temperature band, and the commercially contested band is 100–300 °C, where Na-doped and dichalcogenide compositions are patented explicitly by that criterion. The open question is not which composition crosses ZT = 1 but whether the published attribution of a high ZT to a large power factor (S²/ρ, typically 20–45 µW cm⁻¹ K⁻²) versus a suppressed lattice thermal conductivity (often claimed at 0.4–0.8 W m⁻¹ K⁻¹) is real. Every such decomposition rests on single-laboratory measurements from the originating paper. The one public compilation, the ESTM database (2022), holds 880 unique compositions with all five measured quantities.

Inter-laboratory round robins found about +21% scatter in ZT in an earlier exercise, and the 2022 international round robin improved but did not eliminate it; because κ and S² enter multiplicatively, a 10% bias in each moves ZT by roughly 30%, enough to erase most claimed margins above 1. Module efficiencies of 8.9–12% exist only as isolated prototypes from different groups on different materials, and the Wolf review reports that rankings by power factor and by ZT invert. Dames (2016) derived a material-cost threshold near 1 $/cm³ above which ZT stops governing purchasing, but no ranking has been redone against it.

An answer would be, for the ESTM compositions reported with ZT > 1 between 100 and 300 °C, independently remeasured S, ρ and diffusivity on the same specimens under the 2022 protocol, the resulting PF-versus-κ split compared with the published one, and the ranking re-expressed as module efficiency and watts per dollar. The field currently accepts the originating paper’s numbers in place of this. Those decisive quantities — per-composition inter-laboratory agreement of the decomposition, module efficiency from ZT-ranked versus PF-ranked materials, and the cost-corrected ranking — have never been measured in a way that settles the question, which is the reason for this order.

WHY NOW

Why the field is spending on an assumption

Thermoelectric materials are ranked by the figure of merit ZT, with commercial interest concentrated on compositions claiming ZT above 1 between 100 and 300 °C. Because thermal conductivity and the Seebeck coefficient enter ZT multiplicatively, a 10% bias in each alters ZT by roughly 30%, which is enough to erase claimed margins above 1. Most published values combine electrical measurements along one pellet axis with thermal diffusivity across another. Consequently, published entries do not reveal whether high ZT stems from a genuine power factor or from mismatched measurement directions, and originating papers report single-laboratory numbers without direction-consistent validation.

WHAT WE’D BUY

What we would ask a laboratory to run

We are not buying the answer. We are buying a measurement with an interval — and the bars it will be compared against.

Five spark-plasma-sintered polycrystalline compositions are consolidated into cylindrical pellets (12.7 mm diameter, 14 mm height) with engraved pressing axes: three layered and two near-isotropic. For each composition, four pellets yield orientation-defined bars and disks to measure Seebeck coefficient, electrical resistivity and laser-flash thermal diffusivity perpendicular to the pressing axis at 200 °C. The measurement returns the in-plane direction-consistent ZT as a four-pellet mean with a 95% confidence interval held to a half-width of 0.08 or below. In-plane bars and disks from two pellets per composition are also measured blind at an independent second laboratory to evaluate paired inter-laboratory differences.

SCOPE & LIMITS

The direction-consistent values describe spark-plasma-sintered pellets prepared under this laboratory's specific texture and consolidation conditions, rather than commercial thermoelectric legs manufactured at scale by suppliers.

WHO EXECUTES

The kind of lab that can run this

A university thermoelectric characterisation core or materials CRO equipped for spark-plasma or hot-press consolidation, Seebeck/resistivity (ZEM-type or equivalent) and laser-flash thermal-diffusivity measurement, plus module efficiency testing under the 2022 international round-robin protocol.

EXECUTOR KIND

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