Department of Geosciences, Virginia Polytechnic Institute and State University, Blacksburg, VA 24060, USA.
J Phys Condens Matter. 2011 Feb 9;23(5):055401. doi: 10.1088/0953-8984/23/5/055401. Epub 2011 Jan 19.
Structural and vibrational properties of TiS(2) with the CdI(2) structure have been studied to high pressures from density functional calculations with the local density approximation (LDA). The calculated axial compressibility of the CdI(2)-type phase agrees well with experimental data and is typical of layered transition-metal dichalcogenides. The obtained phonon dispersions show a good correspondence with available experiments. A phonon anomaly is revealed at 0 GPa, but is much reduced at 20 GPa. The thermodynamic properties of this phase were also calculated at high pressures and high temperatures using the quasi-harmonic approximation. Our LDA study on the pressure-induced phase transition sequence predicts that the CdI(2)-type TiS(2), the phase stable at ambient conditions, should transform to the cotunnite phase at 15.1 GPa, then to a tetragonal phase (I4/mmm) at 45.0 GPa. The tetragonal phase remains stable to at least 500 GPa. The existence of the tetragonal phase at high pressures is consistent with our previous findings in NiS(2) (Yu and Ross 2010 J. Phys.: Condens. Matter 22 235401). The cotunnite phase, although only stable in a narrow pressure range between 15.1 and 45.0 GPa, displays the formation of a compact S network between 100 and 200 GPa, which is evidenced by a kink in the variation of unit cell lengths with pressure. The electron density analysis in cotunnite shows that valence electrons are delocalized from Ti atoms and concentrated near the S network.
采用局域密度近似(LDA)的密度泛函计算方法,对 TiS(2) 的结构和振动特性进行了研究,压力高达高压。CdI(2)型相的计算轴向压缩率与实验数据吻合较好,是典型的层状过渡金属二硫属化物。得到的声子色散与现有的实验结果有很好的对应关系。在 0 GPa 处发现了声子异常,但在 20 GPa 处大大减少。还使用准谐近似计算了该相在高温高压下的热力学性质。我们对压力诱导相变序列的 LDA 研究表明,在环境条件下稳定的 CdI(2)型 TiS(2)应在 15.1 GPa 下转变为 Cotunnite 相,然后在 45.0 GPa 下转变为四方相(I4/mmm)。四方相至少在 500 GPa 时保持稳定。高压下四方相的存在与我们之前在 NiS(2)中的发现一致(Yu 和 Ross 2010 J. Phys.: Condens. Matter 22 235401)。虽然 Cotunnite 相仅在 15.1 和 45.0 GPa 之间的窄压力范围内稳定,但在 100 至 200 GPa 之间显示出紧凑的 S 网络的形成,这可以通过单位细胞长度随压力变化的拐点来证明。Cotunnite 中的电子密度分析表明,价电子从 Ti 原子离域并集中在 S 网络附近。