Determining the critical time for two-dimensional manipulation of micro-nanoparticles using a regression equation

Document Type : Original Article

Authors

Moein Taheri ¹

fereshte ghane ²

¹ Department of Manufactring Engineering, Faculty of Engineering, Arak University, Arak, Iran.

² Department of Manufactring Engineering, Faculty of Engineering, Arak University, Arak, Iran

10.22067/jacsm.2025.93715.1332

Abstract

Manipulation and relocation of particles at the nano- and microscale using Atomic Force Microscopy (AFM) is recognized as one of the advanced techniques in nanotechnology, commonly referred to as nanomanipulation. This process consists of two main stages: the initial phase and the secondary phase. One of the key factors in enhancing the accuracy and efficiency of this process is minimizing the critical manipulation time. Therefore, identifying and analyzing the factors affecting this time is of significant importance. In this study, the effect of the dimensional parameters of the AFM cantilever—including thickness, width, and length of the cantilever, as well as the tip radius and height—on the critical time of nanomanipulation is investigated. To this end, Response Surface Methodology (RSM) is employed for data analysis and the development of a mathematical model. The regression model derived from the experimental data demonstrates a prediction accuracy of 91.04%, indicating a high level of reliability. The results reveal that among the parameters studied, cantilever thickness has the most significant impact on the critical time.

Keywords

Cantilever dimensional parameter

regression

critical time

design of experimental

Subjects

• Nano mechanics

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References

1. Yuan, L. Liu, Z. Wang, N. Xi, Y. Wang, “Study of nano-manipulation approach based on the least action principle using AFM‑based robotic system,” in Proceeding 36th Chinese Control Conference (CCC), Dalian, China, 26–28 Jul. 2017, pp. 4424–4429. https://doi.org/10.23919/ChiCC.2017.8028055
2.  H. Korayem, M. Mozafari, Y. H. Sooha, Z. Rastegar, “Development and application of rough viscoelastic contact models in the first phase of 3D manipulation for biological micro-/nanoparticles by AFM,” Archive of Applied Mechanics, vol. 91, no. 9, pp. 3739–3753, 2021. https://doi.org/10.1007/s00419-021-01967-5
3.  H. Korayem, S. Shahali, Z. Rastegar, “Simulation of 3D nanomanipulation for rough spherical elastic and viscoelastic particles in a liquid medium; experimental determination of cell’s roughness parameters and Hamaker constant’s correction,” Journal of the Mechanical Behavior of Biomedical Materials, vol. 90, pp. 313–327, 2019. https://doi.org/10.1016/j.jmbbm.2018.10.007
4. H. Korayem and R. N. Hefzabad, “Nonlinear modeling of nanoscale interaction forces between atomic force microscope and carbon nanotubes,” International Journal of Non-Linear Mechanics, vol. 161, p. 104690, 2024.  https://doi.org/10.1016/j.ijnonlinmec.2024.104690
5.  H. Korayem, A. A. Farid, R. N. Hefzabad, “Nonclassical dynamic modeling of nano/microparticles during nanomanipulation processes,” Beilstein Journal of Nanotechnology, vol. 11, no. 1, pp. 147–166, 2020. https://doi.org/10.3762/bjnano.11.13
6. Wang, Y. Ding, H. Long, Y. Guan, X. Lu, Y. Wang, L. Yang, “Simulation of Optical Nano‑Manipulation with Metallic Single and Dual Probe Irradiated by Polarized Near‑Field Laser,” Applied Sciences, vol. 12, no. 2, p. 815, 2022. https://doi.org/10.3390/app12020815
7. Craciun, B. Donnio, J. Gallani, M. Rastei, “High‑resolution manipulation of gold nanorods with an atomic force microscope,” Nanotechnology, vol. 31, no. 8, p. 085302, 2019. https://doi.org/10.1088/1361-6528/ab5404
8. Zhang, H. Yu, P. Li, X. Wang, F. Wang, J. Shi, Z. Liu, P. Yu, W. Yang, Y. Wang, “Microsphere‑based super‑resolution imaging for visualized nanomanipulation,” ACS Applied Materials & Interfaces, vol. 12, no. 42, pp. 48093–48100, 2020. https://doi.org/10.1021/acsami.0c12126
9. Hou, D. Sun, L. Dong, “Nanomanipulation in biomedical applications,” Current Robotics Reports, vol. 2, pp. 133–145, 2021. https://doi.org/10.1007/s43154-021-00047-4
10. Yin, H. Xu, Y. Wang, Z. Liu, S. Zhang, Z. Weng, Z. Song, Z. Wang, “Improving adhesion between nanoparticles and surface of mica substrate by aminosilane modification,” Plasmonics, vol. 15, no. 2, pp. 399–407, 2020. https://doi.org/10.1007/s11468-019-01030-8
11. Ma, W. Wang, G. Xie, D. Guo, S. Wen, “Friction measurement and motion state determination of a single polystyrene nanoparticle during manipulation,” Micro & Nano Letters, vol. 15, no. 15, pp. 1140–1145, 2020. https://doi.org/10.1049/mnl.2020.0383
12. Wen, H. Lu, Y. Shen, H. Xie, “Nanorobotic Manipulation System for 360° Characterization Atomic Force Microscopy,” IEEE Transactions on Industrial Electronics, vol. 67, no. 4, pp. 2916–2924, 2019. https://doi.org/10.1109/TIE.2019.2910042
13. Takechi‑Haraya, “Atomic Force Microscopy to Measure the Mechanical Property of Nanosized Lipid Vesicles and Its Applications,” Yakugaku Zasshi: Journal of the Pharmaceutical Society of Japan, vol. 144, no. 5, pp. 511–519, 2024. https://doi.org/10.1248/yakushi.23-00178-2
14. Taheri, H. Faraji, and P. Karimi, “Manipulation of breast cell tissue with the aim of calculating Young’s modulus, using Tatara contact theory and atomic force microscopy,” Journal of Applied and Computational Sciences in Mechanics, vol. 35, no. 3, pp. 1–16, 2023.
15. Taheri, “Investigation of new friction models in two-dimensional manipulation of gastric cancer tissue,” Journal of Applied and Computational Sciences in Mechanics, vol. 35, no. 2, pp. 1–16, 2023.