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arXiv 1003.2607cond-mat.mes-hallphysics.ins-det
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扫描探针显微镜用石英音叉力传感器的动力学特性

Dynamics of quartz tuning fork force sensors used in scanning probe microscopy

Andres Castellanos-Gomez, Nicolas Agraït, Gabino Rubio-Bollinger

摘要:

我们已经进行了实验表征的动态振荡石英音叉,这是越来越多地使用在扫描探针显微镜作为力传感器。我们表明,音叉可以被描述为一个系统的耦合振荡器。然而,该描述需要知道音叉的叉尖之间的弹性耦合常数,其尚未被测量。因此,音叉通常被描述在单个振荡器或忽略叉之间的耦合的弱耦合振荡器近似中。我们提出了三种不同的程序来测量弹性耦合常数:光机械的方法,克利夫兰方法的变化和热噪声的方法。我们发现,石英音叉尖头之间的耦合有很大的影响,动态和测量的运动是在显着的协议与一个简单的模型耦合谐振子。音叉的叉尖之间的弹性耦合的精确确定允许获得谐振频率偏移与作用在音叉叉尖的自由端处的力梯度之间的定量关系。

英文摘要:

We have performed an experimental characterization of the dynamics of oscillating quartz tuning forks which are being increasingly used in scanning probe microscopy as force sensors. We show that tuning forks can be described as a system of coupled oscillators. Nevertheless, this description requires the knowledge of the elastic coupling constant between the prongs of the tuning fork, which has not yet been measured. Therefore tuning forks have been usually described within the single oscillator or the weakly coupled oscillators approximation that neglects the coupling between the prongs. We propose three different procedures to measure the elastic coupling constant: an opto-mechanical method, a variation of the Cleveland method and a thermal noise based method. We find that the coupling between the quartz tuning fork prongs has a strong influence on the dynamics and the measured motion is in remarkable agreement with a simple model of coupled harmonic oscillators. The precise determination of the elastic coupling between the prongs of a tuning fork allows to obtain a quantitative relation between the resonance frequency shift and the force gradient acting at the free end of a tuning fork prong.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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