Mirzade Fikret K, Allakhverdiev Kerim R, Salaeva Zehra Y
Institute on Laser and Information Technologies, Russian Academy of Sciences, Svyatizerskaya UI. 1, Shatura 140700, Moscow Region, Russia.
J Nanosci Nanotechnol. 2008 Feb;8(2):764-7. doi: 10.1166/jnn.2008.a031.
The formation of non-uniform spatial structures in irradiated solids (metals, semiconductors) is investigated, when the subsystem of nonequilibrium lattice defects (vacancies and interstitials) forms bonded states, nanoclusters. A set of kinetic equations is formulated which incorporates, (i) generation of point defects by radiation, (ii) their diffusion and recombination, (iii) mutual pairwise elastic interaction among defects, (iv) formation and growth of the nanoclusters of point defects, and (v) losses of the nanoclusters due to removal from the nucleation zone by diffusion. Linear stability analysis is used to show that, if the temperature (T) of medium is below a critical value (Ter), due to the elastic interaction the homogeneous distribution of point defects and their clusters becomes unstable, and a periodic structure of a nanometer scale arises. The criterion of self-organization of the clusters and the dependence of a super-lattice period on temperature of medium are determined analytically. The critical temperature for self-organization of periodic structures is governed by the dilatation volume of defects, by the potential energy of elastic interaction, and the concentration of defects. Estimations showed that the period of super-lattices may change in the range of (20-80) nm. Obtained results agree with the experimental data.
研究了辐照固体（金属、半导体）中非均匀空间结构的形成，此时非平衡晶格缺陷（空位和间隙原子）子系统形成键合态，即纳米团簇。建立了一组动力学方程，其中包括：（i）辐射产生点缺陷；（ii）点缺陷的扩散和复合；（iii）缺陷之间的相互成对弹性相互作用；（iv）点缺陷纳米团簇的形成和生长；（v）纳米团簇由于扩散从成核区移除而损失。通过线性稳定性分析表明，如果介质温度（T）低于临界值（Ter），由于弹性相互作用，点缺陷及其团簇的均匀分布会变得不稳定，从而出现纳米尺度的周期性结构。通过解析确定了团簇自组织的判据以及超晶格周期对介质温度的依赖性。周期性结构自组织的临界温度由缺陷的膨胀体积、弹性相互作用的势能和缺陷浓度决定。估算表明，超晶格周期可能在（20 - 80）nm范围内变化。所得结果与实验数据相符。
