@article{6504,
  author = {Kristin A Persson and Mathias Ekman and Vidvuds Ozolin{\v s}},
  title = {Phonon instabilities in bcc Sc, Ti, La, and Hf},
  abstract = {<p>The lattice dynamics of the elements Sc, Ti, La, and Hf in the bcc structure is studied using the densityfunctional linear-response theory. The elements exhibit similar phonon instabilities which cover large parts of the Brillouin zone. In particular, the entire T[11{\textasciimacron}0]@jj0$\#$ branch, where the zone-boundary phonon is responsible for the bcc{\textrightarrow}hcp transition, and the L@ 2 3 2 3 2 3 $\#$ mode (bcc{\textrightarrow}omega) are unstable. However, the T@jjj$\#$ branch is unstable for all elements except Sc, and Ti and Sc exhibit distorted bcc energy minima not seen in the other elements.</p>},
  year = {2000},
  booktitle = {Physical Review B},
  journal = {Physical Review B},
  series = {Physical Review B},
  volume = {61},
  number = {17},
  pages = {11221-11224},
  month = {05/2000},
  language = {eng},
}