2019
DOI: 10.1088/2053-1591/ab56c8
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Improved thermoelectric performance of p-doped half-Heusler Ti0.5Zr0.5CoSb0.5P0.5, Ti0.5Hf0.5CoSb0.5P0.5, and Zr0.5Hf0.5CoSb0.5P0.5 compounds

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Cited by 5 publications
(3 citation statements)
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“…To confirm the stability of the compounds after doping, the phonon dispersion of BaMg 2 Bi 2 , BaMg 2 SbBi, and BaMg 2 Sb 2 are presented in figures 2(a)-(c). Imaginary frequency is not observed in the three phonon spectrum, indicating that their structures are dynamically stable [41]. The acoustic branches of phonon dispersion for the three compounds comprise low frequencies, above which they intersect optical modes.…”
Section: Resultsmentioning
confidence: 87%
“…To confirm the stability of the compounds after doping, the phonon dispersion of BaMg 2 Bi 2 , BaMg 2 SbBi, and BaMg 2 Sb 2 are presented in figures 2(a)-(c). Imaginary frequency is not observed in the three phonon spectrum, indicating that their structures are dynamically stable [41]. The acoustic branches of phonon dispersion for the three compounds comprise low frequencies, above which they intersect optical modes.…”
Section: Resultsmentioning
confidence: 87%
“…In addition, the energy convergent criterion is 10 −5 eV per unit cell, and the forces on all relaxed atoms are less than 0.001 eV/Å. Phonon dispersion was obtained by using the Phonopy package based on the harmonic second-order interatomic force constants with 2 × 2 × 2 supercell [48]. The TE transport properties are calculated using the Boltzmann transport equation in combination with the relaxation time approximation method, and the relaxation time τ is calculated using the deformation potential theory [49][50][51]: with where C 3D is the 3D elastic constant; a 0 is the equilibrium lattice constant; a = a − a 0 is the change of the lattice constant; E is the total energy of the system; V 0 is the volume of a unit cell; m * is the effective mass of carriers, which can be obtained by calculating the second derivative of the energy of the valence band edge; 0 is the energy of the band edge; ⃗ k is the electron wave vector; E is the deformation potential constant; T is the absolute temperature; k B is the Boltzmann constant, and ħ is the Planck constant.…”
Section: Computational and Theoretical Detailsmentioning
confidence: 99%
“…The single-cell structure can be represented as consisting of four interlocking face-centred cubic sublattices with Wyckoff positions A (0, 0, 0), B (1/4, 1/4, 1/4), C (1/2, 1/2, 1/2), and D (3/4, 3/4, 3/4) within a cell. The chemical formula of a half-Heusler alloy is XYZ; its structure can be discerned to be a full-Heusler alloy X 2 YZ with the X-atom at the B-position (Hg 2 CuTi type) or C-position (Cu 2 MnAl type) removed [14][15][16][17][18]. The thermoelectric properties of half-Heusler alloys have been well researched due to their semiconducting nature, while full-Heusler alloys are also attracting attention in thermoelectric applications, because of their adjustable elements and rich structure.…”
Section: Introductionmentioning
confidence: 99%