Adjusting the balance between strength and ductile of the tetragonal TiAl₃ alloy: a first-principles investigation

Theoretical prediction of the structure and hardness of TiB4 tetraborides from first-principles calculations

“…In addition, the dynamical stability of TiB 4 tetraboride is well checked by phonon dispersion. [43][44][45] Generally, the phonon calculations of the predicted TiB 4 are calculated using the phonon model. To estimate hardness, the hardness (H v ) of TiB 4 is calculated by employing Chen's model 46 and Miao's model.…”