“…After the geometry optimizations, the strongly constrained and appropriately normed semilocal density functional (SCAN) is included to better describe the band structure of KNN. , The calculated lattice parameters of the Bmm 2 cell are 5.613, 3.947, and 5.639 Å for La-doped KNN, 5.627, 3.961, and 5.644 Å for Bi-doped KNN, 5.638, 3.938, and 5.665 Å for pure KNN. The pure KNN exhibits the high-accurate lattice parameters compared with experimental results, suggesting the PBEsol is better than the conventional PBE method to describe the KNN lattice . The lattice parameters of La-doped and Bi-doped KNNs are smaller than that of the pure KNN, which can be due to KNNs containing two A-site vacancies in their supercell.…”