2019
DOI: 10.1021/acsomega.9b01912
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First-Principles Study of Piezoelectric Properties and Bonding Analysis in (Mg, X, Al)N Solid Solutions (X = Nb, Ti, Zr, Hf)

Abstract: The enhancement mechanism of piezoelectric properties by codoping Mg + X (X = Nb, Ti, Zr, Hf) into aluminum nitride (AlN) was investigated by first-principles calculations. Theoretically, the piezoelectric constant (d33) can be increased when the elastic constant (C33) is decreased and the piezoelectric stress constant (e33) is increased. All components of e33, which consists of the clamped e33, the Born effective charge (Z33), and the strain sensitivity (du/dε) of the internal parameter, were improved by the … Show more

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Cited by 42 publications
(30 citation statements)
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“…The enhancement in d 33 and d 33,f is mainly due to the softening of elastic constant C 33 and increase of e 33 as the concentration of co-dopants increases (shown in Figure 3(c,d)). Similar mechanism is observed in other dopants e.g., Sc [35] or other dopants [15,36,22]. Figure 1 indicates that these dopants lead the polar wurtzite structure close to a phase transition to non-polar hexagonal structure, which results in the softening of C 33 [35,12].…”
Section: Resultssupporting
confidence: 68%
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“…The enhancement in d 33 and d 33,f is mainly due to the softening of elastic constant C 33 and increase of e 33 as the concentration of co-dopants increases (shown in Figure 3(c,d)). Similar mechanism is observed in other dopants e.g., Sc [35] or other dopants [15,36,22]. Figure 1 indicates that these dopants lead the polar wurtzite structure close to a phase transition to non-polar hexagonal structure, which results in the softening of C 33 [35,12].…”
Section: Resultssupporting
confidence: 68%
“…The enhancement in d 33 and d 33, f is mainly due to the softening of elastic constant C 33 and increase of e 33 as the concentration of co-dopants increases (shown in Figure c,d). A similar mechanism is observed in other dopants, e.g., Sc or other dopants. ,, Figure indicates that these dopants lead the polar wurtzite structure close to a phase transition to nonpolar hexagonal structure, which results in the softening of C 33 . , , In fact, the energy difference between wurtzite and hexagonal phase (Δ E = E hexagonal – E wurtzite ) becomes significantly smaller with the co-doping or Sc concentrationshown in Figure e. This also indicates the energy proximity of the phase transition .…”
Section: Resultssupporting
confidence: 64%
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“…The lower −ICOHP value indicates the weaker orbital hybridization in the LiO bond, which is a descriptor for the weaker bond strength. [ 44 ] Per Figure S33, Supporting Information, the −ICOHP for the LiO 1 bond in the Ru AC+SA configuration is lower than in the Ru SA configuration, in line with the conclusion derived from the atomic configuration. The more weakened LiO 1 bond makes the Li 2 C 2 O 4 dissociation easier thereby lowering the energy barrier of the rate‐determining step and enhancing the kinetics of the CO 2 ER process.…”
Section: Resultssupporting
confidence: 82%