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Formation energies of the dopant elements in AlN obtained from ab initio calculations. Calculations are performed with supercells composed of 3 × 3 × 2 AlN unit cells (72 atoms). Numbers in parentheses denote the possible valence states of the dopant elements in the formation energy diagram calculated using Eq. (1). Bold numbers in these parentheses are the valence states of the dopants at EF = Eg/2.

Formation energies of the dopant elements in AlN obtained from ab initio calculations. Calculations are performed with supercells composed of 3 × 3 × 2 AlN unit cells (72 atoms). Numbers in parentheses denote the possible valence states of the dopant elements in the formation energy diagram calculated using Eq. (1). Bold numbers in these parentheses are the valence states of the dopants at EF = Eg/2.

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We propose a series of new compositions of AlN-based piezoelectric material based on the results of first-principles calculation. The composition is expressed by Al1−xN, where the elements α and β are selected to maintain the charge neutrality of the host AlN. We found that the selection of Mg2+ for α and Hf4+ and Zr4+ for β with y = 0.5 show good...

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... Co-alloying double TMs provides more room for regulation. Mg x TM y Al 1-(x+y) N (TM = Ti, Zr, and Hf ) was theoretically investigated, and the larger ionic radii of TM were demonstrated to contribute to the increase of piezoelectric performance [137]. The weaker TM-N bonds in Mg x TM y Al 1-(x+y) N (TM = Ti, Zr, Hf, Nb, Cr, Mo, and W) were determined to be one origin of the elastic soften, and which further increased the d 33 [138,139]. ...
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... Various material descriptors, especiallly the lattice c a ratio, have been identified as key properties that correlate with the piezoelectric response. 7,8,10,[47][48][49] In total, 53 materials (see supplementary materials) are included in our initial dataset, and the results for the piezoelectric response are summarized in Table 1. Notably, AlN doped with boron and scandium together shows a slight increase in the piezoelectric constant relative to AlN with scandium alone, which is currently attracting great interest. ...
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... † zarkadoulae@ornl.gov response by up to 40% [13][14][15][16][17][18] making these materials very attractive for practical usage. ...
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