Abstract

A measure for the efficiency of a thermoelectric material is the figure of merit defined by ZT = S2T/ρκ, where S, ρ and κ are the electronic transport coefficients, Seebeck coefficient, electrical resistivity and thermal conductiviy, respectively. T is the absolute temperature. Large values for ZT have been realized in nanostructured materials such as superlattices, quantum dots, nanocomposites, and nanowires. In order to achieve further progress, (1) a fundamental understanding of the carrier transport in nanocomposites is necessary, and (2) effective experimental methods for designing, producing and measuring new material compositions with nanocomposite-structures are to be applied. During the last decades, a series of formulas has been derived for calculation of the electronic transport coefficients in composites and disordered alloys. Along the way, some puzzling phenomenons have been solved as why there are simple metals with positive thermopower? and what is the reason for the phenomenon of the “Giant Hall effect”? and what is the reason for the fact that amorphous composites can exist at all? In the present review article, (1), formulas will be presented for calculation of σ = (1/ρ), κ, S, and R in composites. R, the Hall coefficient, provides additional informations about the type of the dominant electronic carriers and their densities. It will be shown that these formulas can also be applied successfully for calculation of S, ρ, κ and R in nanocomposites if certain conditions are taken into account. Regarding point (2) we shall show that the combinatorial development of materials can provide unfeasible results if applied noncritically.

Highlights

  • The performance of a thermoelectric material for cooling of power generation applications, or more generally, for energy conversion, are directly related to the dimensionless figure of merit defined by ZT = S 2T, (1)ρκ where ρ = 1 σ

  • Amorphous Metals The electron transfer δ n between the phases described by Equation (84) leads to a lowering of the total energy of the composite compared with a situation, where the phases exist alone

  • We have shown that these formulas can be applied successfully to nanocomposites if certain conditions are taken into account, especially the phenomenon of electron transfer between the different phases in the nanocomposite

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Summary

Introduction

A further increase of ZT was limited by the fact that the transport coefficients occurring in Equation (1) are generally not independent from each other In spite of these restrictions, during the last decade, progress was achieved by so-called nanostructured materials such as superlattices, quantum dots, nanocomposites, and nanowires. We shall show that (1), the classical theories can, after all, be applied successfully for nanocomposites, with respect to the electronic transport and its relation with the atomic structure and (2), the combinatorial development of materials can provide unfeasible results if applied noncritically. The puzzling phenomenons: why there are simple metals with positive thermopower? and what is the reason for the phenomenon of the “Giant Hall effect”? and what is the reason for the fact that amorphous composites can exist at all? have been considered in the Section 5 and Section 3.2.1

Electronic Transport in Composites
Electrical Conductivity
Thermal Conductivity
Thermopower
Hall Coefficient
Comparison with Other Transport Formulas for Composites
Composites with Non-Spherical Phase Grains
Nanocomposites
Discontinuity in the Concentration Dependence of the Thermopower
Extension of the Classical Thermopower Formula
Constraints of the Combinatorial Development of Materials
Conclusions
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