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First principles study of thermoelectric properties of $\text{Nb}_2\text{Co}_2\text{InSb}$ and $\text{Nb}_2\text{Co}_2\text{GaSb}$ double half-Heuslers

Rajeev Ranjan

Abstract

Valence electron count (VEC) 18 half-Heusler (hH) alloys are considered promising for high-temperature thermoelectric applications due to their high Seebeck coefficient, mechanical stability, and robustness. However, their relatively large lattice thermal conductivity ($k_{L}$) significantly limits their thermoelectric performance. Introducing mass disorder at lattice sites is an effective approach to suppress $k_{L}$ through enhanced phonon scattering. For instance, NbCoSn exhibits a low figure of merit ($zT \sim 0.05$) despite having a reasonably high power factor of 2.1~$\text{mW}/\text{mK}^{2}$ at room temperature, mainly due to its large lattice thermal conductivity, reported to be 13.25~$\text{W}/\text{mK}$ experimentally and 18~$\text{W}/\text{mK}$ theoretically. In this work, we explore the thermoelectric properties of $\text{Nb}_2\text{Co}_2\text{InSb}$ and $\text{Nb}_2\text{Co}_2\text{GaSb}$, which can be regarded as derivatives of NbCoSn with substitution at the Sn site. Both ordered and Special Quasirandom Structures (SQSs) are considered to understand the role of configurational disorder. Energetic analysis indicates that the ordered phase is most stable for $\text{Nb}_2\text{Co}_2\text{InSb}$, whereas the SQS phase is energetically favored for $\text{Nb}_2\text{Co}_2\text{GaSb}$. The lattice thermal conductivity is evaluated using the Debye-Callaway model, yielding values in the range of 5.5-6.9~$\text{W}/\text{mK}$ for $\text{Nb}_2\text{Co}_2\text{InSb}$ and 4.7-5.8~$\text{W}/\text{mK}$ for $\text{Nb}_2\text{Co}_2\text{GaSb}$ at room temperature. These values are significantly lower than those of the parent NbCoSn system, highlighting the effectiveness of mass disorder in reducing thermal conductivity. The results suggest that these double half-Heusler compounds are promising candidates for improved thermoelectric performance.

First principles study of thermoelectric properties of $\text{Nb}_2\text{Co}_2\text{InSb}$ and $\text{Nb}_2\text{Co}_2\text{GaSb}$ double half-Heuslers

Abstract

Valence electron count (VEC) 18 half-Heusler (hH) alloys are considered promising for high-temperature thermoelectric applications due to their high Seebeck coefficient, mechanical stability, and robustness. However, their relatively large lattice thermal conductivity () significantly limits their thermoelectric performance. Introducing mass disorder at lattice sites is an effective approach to suppress through enhanced phonon scattering. For instance, NbCoSn exhibits a low figure of merit () despite having a reasonably high power factor of 2.1~ at room temperature, mainly due to its large lattice thermal conductivity, reported to be 13.25~ experimentally and 18~ theoretically. In this work, we explore the thermoelectric properties of and , which can be regarded as derivatives of NbCoSn with substitution at the Sn site. Both ordered and Special Quasirandom Structures (SQSs) are considered to understand the role of configurational disorder. Energetic analysis indicates that the ordered phase is most stable for , whereas the SQS phase is energetically favored for . The lattice thermal conductivity is evaluated using the Debye-Callaway model, yielding values in the range of 5.5-6.9~ for and 4.7-5.8~ for at room temperature. These values are significantly lower than those of the parent NbCoSn system, highlighting the effectiveness of mass disorder in reducing thermal conductivity. The results suggest that these double half-Heusler compounds are promising candidates for improved thermoelectric performance.

Paper Structure

This paper contains 9 sections, 3 equations, 15 figures, 5 tables.

Table of Contents

  1. Introduction
  2. Computational details
  3. Results and Discussions
  4. Electronic properties
  5. Carrier Relaxation Times
  6. Electronic transport calculations
  7. Phonon dispersion and Lattice thermal conductivity
  8. Figure of merit
  9. Conclusion

Figures (15)

  • Figure 1.1: (a) Crystal structure of NbCoSn (b) VEC 18 structural derivatives of NbCoSn
  • Figure 3.1: Optimized crystal structure of $\text{Nb}_2\text{Co}_2\text{InSb}$ of (a) OS1 (b) OS2 (c) SQS1 (d) SQS2
  • Figure 3.2: Optimized crystal structure of $\text{Nb}_2\text{Co}_2\text{GaSb}$ of (a)OS1 (b) OS2 (c) SQS1
  • Figure 3.3: Band structures and DOS of $\text{Nb}_2\text{Co}_2\text{InSb}$ (a)OS1 (b) OS2 (c) SQS1 (d) SQS2
  • Figure 3.4: Band structures and DOS of $\text{Nb}_2\text{Co}_2\text{GaSb}$ (a)OS1 (b) OS2 (c)SQS1
  • ...and 10 more figures