THE RELATION BETWEEN RESONANCE CURVES AND TIP-SURFACE INTERACTION POTENTIAL IN NONCONTACT ATOMIC-FORCE MICROSCOPY
THE RELATION BETWEEN RESONANCE CURVES AND TIP-SURFACE INTERACTION POTENTIAL IN NONCONTACT ATOMIC-FORCE MICROSCOPY
复制标题
非接触原子力显微镜中共振曲线与尖端表面相互作用势之间的关系
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
M. Tsukada
中科院分区：
文献类型：
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作者：
N. Sasaki;M. Tsukada
我们提出了一种微扰理论，使我们能够理解非接触模式原子力显微镜中悬臂受迫振动的物理原理。给出了谐振曲线和频移的解析表达式。该理论应用于具有范德华尖端-表面相互作用势的模型系统。基于此案例研究，阐明了如何通过针尖围绕转折点的横向移动的针尖-表面相互作用力的积分来分析描述共振频移。这个量对相互作用势相当敏感。通过这种方法我们可以看到动态不稳定性是如何发生的以及如何显着影响共振峰的观察。计算出的共振曲线和频移与通过双稳态区域外运动方程的数值积分获得的曲线和频移非常吻合。
We present a perturbation theory which enables us to understand the physics of the cantilever-forced vibration in noncontact-mode atomic-force microscopy. Analytical expressions of the resonance curve and frequency shift are given. This theory is applied to the model system with a van der Waals tip-surface interaction potential. Based on this case study, it is elucidated how the resonance frequency shift is analytically described by an integral of the tip-surface interaction force over the traverse of the tip around the turning point. This quantity is rather sensitive to the interaction potential. We can see by this method how the dynamical instability occurs and significantly influences the observation of the resonance peak. Calculated resonance curves and frequency shifts agree fairly well with those obtained by a numerical integration of equation of motion outside the bistable region.