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人工晶体学报 ›› 2023, Vol. 52 ›› Issue (11): 1961-1970.

• 研究论文 • 上一篇    下一篇

单晶硅各向异性仿真刻蚀模型构建与形貌模拟

张辉1,2, 钱珺1, 洪莉莉1   

  1. 1.南京工业职业技术大学机械工程学院,南京 210000;
    2.东南大学机械工程学院,南京 210000
  • 收稿日期:2023-05-17 出版日期:2023-11-15 发布日期:2023-11-17
  • 作者简介:张辉(1986—),男,山东省人,博士,校聘副教授。E-mail:zhanghui_ccc@163.com
  • 基金资助:
    江苏省工业感知及智能制造装备工程研究中心开放基金(ZK22-05-07);南京工业职业技术大学引进人才科研启动基金(YK20-01-08)

Construction of Anisotropic Simulation Etching Model and Morphology Simulation of Mono-Crystalline Silicon

ZHANG Hui1,2, QIAN Jun1, HONG Lili1   

  1. 1. School of Mechanical Engineering, Nanjing University of Vocational Industry Technology, Nanjing 210000, China;
    2. School of Mechanical Engineering, Southeast University, Nanjing 210000, China
  • Received:2023-05-17 Online:2023-11-15 Published:2023-11-17

摘要: 本文针对单晶硅在不同温度、浓度、表面活性剂等多种刻蚀条件下的形貌模拟问题,构建了硅原子结构模型并分析了其主要晶面刻蚀速率和对应原子结构之间的关系,提出了适应于单晶硅刻蚀模拟的表层原子刻蚀函数(Si-RPF),明确了晶面宏观刻蚀速率与原子微观移除概率之间的数值联系,构建了基于遗传算法的动力学蒙特卡罗各向异性湿法刻蚀工艺模型(Si-KMC)。该工艺模型可以基于台阶流动理论,从原子角度解释单晶硅刻蚀各向异性的成因,能够明确不同类型的原子在刻蚀过程中的作用和实现对不同刻蚀条件下单晶硅衬底三维刻蚀形貌的精确模拟。对比有无表面活性剂添加条件下的单晶硅刻蚀实验数据和模拟结果表明,Si-KMC刻蚀工艺仿真模型模拟结果可以达到90%以上仿真精度。

关键词: 单晶硅, 湿法刻蚀, 表层形貌, 晶面, 各向异性, 活性剂, 蒙特卡罗, 仿真

Abstract: In order to simulate the morphology and structure of mono-crystalline silicon under different etching conditions such as temperature, concentration, with or without surfactant, the atomic structure model of mono-crystalline silicon is constructed and the relationship between the etching rates of main crystal planes and the corresponding atomic structure are analyzed. A surface atomic etching function (Si-RPF) suitable for mono-crystalline silicon etching simulation is proposed. The numerical relationship between the macroscopic etching rate of crystal planes and the microscopic removal probabilities of atoms is clarified and a Kinetic Monte Carlo (Si-KMC) anisotropic wet etching process model is constructed based on genetic algorithm. Based on the step flow theory, the process model can explain the cause of the anisotropy of silicon etching from the perspective of microscopic atoms, clarify the role of different types of atoms in the etching process, and realize the accurate simulation of the three-dimensional etching morphology of silicon substrate under different etching conditions. By comparing the experimental data and simulation results of silicon etching with or without the addition of surfactant, the simulation results of Si-KMC etching process simulation model can reach more than 90% simulation accuracy.

Key words: mono-crystalline silicon, wet etching, surface morphology, crystal plane, anisotropy, surfactant, Monte Carlo, simulation

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