We extend our recent 2D trajectory (x–y plane) and diffusion coefficient data of ceria particles near a glass surface obtained at pH 3, 5, and 7 using evanescent wave microscopy and video imaging to 3D trajectories by analyzing the separation distance between the particles and the glass surface in the vertical z-direction. Mean squared displacement (MSD3D) of ceria particles was calculated to quantify 3D trajectories. Three-dimensional diffusion coefficients were obtained from the MSD3D curves and were compared with two-dimensional diffusion coefficients. By analyzing the MSD curves, we found that ceria particles exhibited only confined motion at pH 3 and 5, while both confined and Brownian motion were showed at pH 7. We also evaluated the cleaning ability of DI water adjusted to pH 10 and 12 to remove ceria particles from glass surfaces and related the results to the calculated trajectory, diffusion coefficient, and interaction potential data.

中文翻译：

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玻璃表面附近单个二氧化铈颗粒的 3D 轨迹和扩散及其去除

我们使用渐逝波显微镜和视频成像，通过分析颗粒之间的分离距离，将我们最近的 2D 轨迹（x-y 平面）和玻璃表面附近的二氧化铈颗粒的扩散系数数据扩展到 3D 轨迹和垂直 z 方向的玻璃表面。计算二氧化铈颗粒的均方位移 (MSD3D) 以量化 3D 轨迹。从 MSD3D 曲线获得三维扩散系数，并与二维扩散系数进行比较。通过分析 MSD 曲线，我们发现氧化铈颗粒在 pH 3 和 5 时仅表现出受限运动，而在 pH 7 时则表现出受限运动和布朗运动。