arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1009.3073cond-mat.mtrl-sci
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TiZr合金相变、弹性和热力学性质的第一性原理计算

First-principles calculations of phase transition, elasticity, and thermodynamic properties for TiZr alloy

Bao-Tian Wang, Wei-Dong Li, Ping Zhang

摘要:

采用第一性原理密度泛函理论研究了等原子TiZr合金的结构相变、弹性力学行为、声子和热力学性质。计算得到的$α$和$ω$相的晶格参数和状态方程以及$α$ $\mathtt{\rightarrow}$ $ω$ $\mathtt{\rightarrow}$ $β$的相变序列与实验符合得很好。$α$和$ω$相的弹性常数表明它们是机械稳定的。立方相$β$在零压下是力学不稳定的,其力学稳定的临界压力为2.19 GPa。我们发现,弹性模量,弹性声速,德拜温度都随着压力的增加,为三个相的TiZr合金。较大的$B/G$值说明TiZr合金具有较好的塑性,其塑性优于Zr元素,尤其是在$β$相中。在10 GPa附近,弹性波速度和德拜温度在$α$ $\mathtt{\rightarrow}$ $ω$相变时具有突然增加的行为,在较高压力下,在$ω$ $\mathtt{\rightarrow}$ $β$相变时具有突然减小的特征。通过Mulliken布居分析,我们说明了\emph{d} -带占有率的增加将稳定立方$β$相。首次提出了TiZr合金三相的声子色散关系,其中$β$相声子清楚地表明了其在环境条件下的动力学不稳定性。利用准调和近似和德拜模型,得到了吉布斯自由能、熵和热容的热力学表达式。

英文摘要:

tructural transformation, pressure dependent elasticity behaviors, phonon, and thermodynamic properties of the equiatomic TiZr alloy are investigated by using first-principles density-functional theory. Our calculated lattice parameters and equation of state for $α$ and $ω$ phases as well as the phase transition sequence of $α$$\mathtt{\rightarrow}$$ω$$\mathtt{\rightarrow}$$β$ are consistent well with experiments. Elastic constants of $α$ and $ω$ phases indicate that they are mechanically stable. For cubic $β$ phase, however, it is mechanically unstable at zero pressure and the critical pressure for its mechanical stability is predicted to equal to 2.19 GPa. We find that the moduli, elastic sound velocities, and Debye temperature all increase with pressure for three phases of TiZr alloy. The relatively large $B/G$ values illustrate that the TiZr alloy is rather ductile and its ductility is more predominant than that of element Zr, especially in $β$ phase. Elastic wave velocities and Debye temperature have abrupt increase behaviors upon the $α$$\mathtt{\rightarrow}$$ω$ transition at around 10 GPa and exhibit abrupt decrease feature upon the $ω$$\mathtt{\rightarrow}$$β$ transition at higher pressure. Through Mulliken population analysis, we illustrate that the increase of the \emph{d}-band occupancy will stabilize the cubic $β$ phase. Phonon dispersions for three phases of TiZr alloy are firstly presented and the $β$ phase phonons clearly indicate its dynamically unstable nature under ambient condition. Thermodynamics of Gibbs free energy, entropy, and heat capacity are obtained by quasiharmonic approximation and Debye model.

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