中国激光, 2011, 38 (11): 1107002, 网络出版: 2011-10-27
基于掠入射X射线反射谱的Mo/Si多层膜扩散系数测量
Diffusion Coefficient Measurement by Grazing Incidence X-ray Reflection in a Mo/Si Multilayer
薄膜 Mo/Si多层膜 扩散系数 掠入射X射线反射谱 四层模型 极紫外 thin films Mo/Si multilayer diffusion coefficients grazing incidence X-ray reflection spectrum four-layer model extreme ultraviolet
摘要
测量了Mo/Si多层膜在250 ℃下经历不同时间退火后的掠入射X射线反射谱,从中提取出特定级次衍射峰在退火过程中的相对移位,通过布拉格公式拟合,得到了Mo/Si多层膜周期厚度皮米级别的相对变化。采用扩散控制模型来描述Mo/Si多层膜界面扩散,界面厚度的平方随时间线性增加,由此拟合得到Mo和Si间的扩散系数为0.33×10-22 cm2/s。采用四层模型,对掠入射X射线反射谱进行全谱拟合,得到了Mo,Si和扩散层MoSi2的密度分别为9.3,2.5和5.4 g/cm3,据此对Mo和Si间扩散系数进行修正,最终得到在250 ℃下,Mo/Si多层膜中Mo和Si间的扩散系数为1.88×10-22 cm2/s,从而为研究Mo/Si多层膜的热稳定性提供了定量依据。
Abstract
The grazing incidence X-ray reflection spectra of a Mo/Si multilayer annealing at a temperature of 250 ℃ at different time are measured and the relative shifts in Bragg peak positions are extracted, from which the relative period thickness changes of the Mo/Si multilayer at pm-accuracy are calculated by fitting Bragg formula. A diffusion limited model is applied to account for the growing interfaces between Mo and Si, which states that the thickness of a compound interface grows quadratically over time. From this model the diffusion constant figures out to be 0.33×10-22 cm2/s. Then the grazing incidence X-ray reflection spectra are fitted by genetic algorithm using four-layer model, with the densities of Mo, Si and MoSi2 determined to be 9.3, 2.5 and 5.4 g/cm3. Accordingly, the diffusion constant is modified to be 1.88×10-22 cm2/s, which gives a quantitative criterion for investigating the thermal stability of the Mo/Si multilayer.
喻波, 李春, 金春水. 基于掠入射X射线反射谱的Mo/Si多层膜扩散系数测量[J]. 中国激光, 2011, 38(11): 1107002. Yu Bo, Li Chun, Jin Chunshui. Diffusion Coefficient Measurement by Grazing Incidence X-ray Reflection in a Mo/Si Multilayer[J]. Chinese Journal of Lasers, 2011, 38(11): 1107002.