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电子束蒸发SiO2薄膜的棱台凹坑模型及其验证

Frustum Pit Model of Electron Beam Evaporated SiO2 Thin Films and Its Experimental Verification

  • 摘要: SiO2薄膜在半导体和超导电子学领域应用广泛。针对电子束蒸发SiO2中“挖坑效应”导致的薄膜均匀性持续劣化问题,本文通过实验证实传统“小圆锥体模型”在长效沉积(>15 min)中预测边缘与中心膜厚比误差超过8.80%,指出其失效核心在于忽略了坑形的动态演化对厚度分布的影响。针对此问题,本文基于热扩散机理与线扫描工艺的实际棱台坑形特征,构建了棱台凹坑动态演化模型,进而确立了坑壁倾角与时间的定量函数关系,并引入修正因子补偿有效蒸发面积的动态扩展效应。结果显示,棱台模型对第4点的预测误差小于0.20%,较原模型精度提升约90%。研究揭示了热扩散是主导坑形演化的核心物理机制,该模型为量子处理器电子束蒸发工艺优化、均匀性预测、工艺窗口设计与精准控制提供了理论依据和量化工具。

     

    Abstract: Silicon dioxide ( \textSi\textO_2 ) thin films have found extensive applications in semiconductor devices and superconducting electronics owing to their superior electrical insulation, optical transparency, and chemical stability. During the electron beam evaporation (EBE) of SiO2, the pronounced "pit-digging effect" caused by extremely low thermal conductivity leads to a continuous deterioration of film thickness uniformity as deposition time increases. This study experimentally demonstrates that the conventional "small cone model" incurs a prediction error exceeding 8.80% for the edge-to-center thickness ratio during long-term deposition (> 15 min), primarily because it neglects the dynamic evolution of pit morphology. To address this limitation, a dynamic evolution model for frustum-shaped pits is developed based on thermal diffusion mechanisms and actual geometric characteristics under linear scanning processes. A quantitative functional relationship between deposition time and pit wall inclination is established, and a correction factor is introduced to compensate for the dynamic expansion of the effective evaporation area. A "segmented fitting and independent prediction" logic is employed: experimental data from the first three deposition durations (7, 10, and 17 min) are used to determine model constants, followed by an independent blind test on the fourth data point (22 min). Results show that the prediction error of the frustum model for the fourth point is less than 0.20%, representing an approximately 90% enhancement in precision compared to the conventional model. This research reveals that thermal diffusion is the core physical mechanism driving pit evolution, providing a robust theoretical foundation and quantitative tool for process optimization, uniformity prediction, and process window design in EBE applications.

     

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