Combined Effect of Surface Tension, Gravity and van der Waals Force Induced by a Non-Contact Probe Tip on the Shape of Liquid Surface
LIU Nan1,2, BAI Yi-Long1, XIA Meng-Fen1,3, KE Fu-Jiu1,4
1State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080
2Graduate School of the Chinese Academy of Sciences, Beijing 100049
3Department of Physics, Peking University, Beijing 100871
4Department of Applied Physics, Beijing University of Aerospace and Aeronautics, Beijing 100083
Combined Effect of Surface Tension, Gravity and van der Waals Force Induced by a Non-Contact Probe Tip on the Shape of Liquid Surface
LIU Nan1,2;BAI Yi-Long1;XIA Meng-Fen1,3;KE Fu-Jiu1,4
1State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080
2Graduate School of the Chinese Academy of Sciences, Beijing 100049
3Department of Physics, Peking University, Beijing 100871
4Department of Applied Physics, Beijing University of Aerospace and Aeronautics, Beijing 100083
Abstract： Aiming at understanding how a liquid film on a substrate affects the atomic force microscopic image in experiments, we present an analytical representation of the shape of liquid surface under van der Waals interaction induced by a non-contact probe tip. The analytical expression shows good consistence with the corresponding numerical results. According to the expression, we find that the vertical scale of the liquid dome is mainly governed by a combination of van der Waals force, surface tension and probe tip radius, and is weekly related to gravity. However, its horizontal extension is determined by the capillary length.
LIU Nan;BAI Yi-Long;XIA Meng-Fen;KE Fu-Jiu;. Combined Effect of Surface Tension, Gravity and van der Waals Force Induced by a Non-Contact Probe Tip on the Shape of Liquid Surface[J]. 中国物理快报, 2005, 22(8): 2012-2015.
LIU Nan, BAI Yi-Long, XIA Meng-Fen, KE Fu-Jiu,. Combined Effect of Surface Tension, Gravity and van der Waals Force Induced by a Non-Contact Probe Tip on the Shape of Liquid Surface. Chin. Phys. Lett., 2005, 22(8): 2012-2015.
2005, Vol. 22 
