论文标题
陷阱和补救措施的实验证明,用于频率调制原子力显微镜的精确力解卷积
Experimental demonstration of pitfalls and remedies for precise force deconvolution in frequency-modulation atomic force microscopy
论文作者
论文摘要
频率调节原子力显微镜提供了化学键合力测量的出色精度。但是,随着悬臂以振幅A的振荡A振荡,通常在原子尺寸或更大,模糊的情况下振荡。为了从实验频率与距离光谱中提取力与距离曲线,需要一种反向卷积算法以从实验频移中恢复力。最近已经表明,这种反卷积可能是导致虚假距离曲线的不良反转问题。反转问题是良好的还是错误的,取决于两个因素:力距离曲线的形状和用于测量的振荡幅度。 SADER等人在截面测试中提出的振荡幅度的正确选择。 [Nat。纳米技术。 13,1088(2018)]应避免不适。在这里,我们通过两个实验数据集在实验中验证了它们在切口测试中的测试:一氧化碳分子上的力距离光谱以及Cu(111)上的Fe Trimer(111),用一组故意选择的振幅测量。此外,我们对由实验数据的离散性质引起的典型陷阱发表评论,并提供MATLAB代码,每个人都可以使用每个人使用自己的数据来执行此测试。
Frequency-modulation atomic force microscopy provides an outstanding precision of the measurement of chemical bonding forces. However, as the cantilever oscillates with an amplitude A that is usually on the order of atomic dimensions or even larger, blurring occurs. To extract a force versus distance curve from an experimental frequency versus distance spectrum, a deconvolution algorithm to recover the force from the experimental frequency shift is required. It has been recently shown that this deconvolution can be an ill-posed inversion problem causing false force-distance curves. Whether an inversion problem is well- or ill-posed is determined by two factors: the shape of the force-distance curve and the oscillation amplitude used for the measurement. A proper choice of the oscillation amplitude as proposed by the in ection point test of Sader et al. [Nat. Nanotechnol. 13, 1088 (2018)] should avoid ill-posedness. Here, we experimentally validate their in ection point test by means of two experimental data sets: force-distance spectra over a single carbon monoxide molecule as well as a Fe trimer on Cu(111) measured with a set of deliberately chosen amplitudes. Furthermore, we comment on typical pitfalls which are caused by the discrete nature of experimental data and provide MATLAB code which can be used by everyone to perform this test with their own data.