ELATooLs: A tool for analyzing anisotropic elastic properties of the 2D and 3D materials (vol 271, 108195, 2022)

Abstract

We fixed Fig. 1 in the paper [1] by correcting, and <. We also removed the first row in the figure where E and G were zero, because having those values can make the crystal unstable. We made some changes to the equations in the paper. In subsection 2.1, we modified Eq. 2 to look like this: [Formula Presented] In subsection 2.2, we improved Eq. 8 to remove ambiguity: Furthermore, we changed the range of angle φ in Eq. 12 from 0 2π. Subsection 2.1 of the paper now includes modifications to the number of independent elastic constants for various crystal classes: 21 for triclinic, 13 for monoclinic, 9 for orthorhombic, 6 or 7 for rhombohedral (depending on the Laue class [2]), 6 or 7 for tetragonal (depending on the Laue class [2]), 5 for hexagonal, and 3 for cubic. In subsection 3.1, four methods for the Born elastic stability conditions for a crystal are listed. These methods are valid for all crystal symmetries [2]: 1) if the second-order elastic stiffness tensor Cij is positive definite, 2) if all eigenvalues of are all positive. We have added reference [2] for these conditions. Additionally, we modified the term “definitely positive” in condition (1) to “positive definite” for mathematical accuracy. We have corrected the term “NCL” to “NLC” in subsection 3.4. The corrected sentence reads: “The NLC of ZnAu2(CN)4 was predicted in Ref. [61], which is evident in the z-direction.” © 2023 Elsevier B.V.