arXiv subjects

Ferdinand Huber

Publications and source records attributed to Ferdinand Huber.

3 recordsLinked to original sources

arXiv2020

Experimental demonstration of pitfalls and remedies for precise force deconvolution in frequency-modulation atomic force microscopy

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.

cond-mat.mtrl-sci↗

arXiv2018

Lateral manipulation with combined atomic force and scanning tunneling microscopy using CO-terminated tips

CO-terminated tips currently provide the best spatial resolution obtainable in atomic force microscopy. Due to their chemical inertness, they allow to probe interactions dominated by Pauli repulsion. The small size and inertness of the oxygen front atom yields unprecedented resolution of organic molecules, metal clusters and surfaces. We study the capability of CO-terminated tips to laterally manipulate single iron adatoms on the Cu(111) surface with combined atomic force and scanning tunneling microscopy at 7\,K. Furthermore, we find that even a slight asymmetry of the tip results in a distortion of the lateral force field. In addition, the influence of the tilt of the CO tip on the lateral force field is inverted compared to the use of a monoatomic metal tip which we can attribute to the inverted dipole moment of a CO tip with respect to a metal tip. Moreover, we demonstrate atom-by-atom assembly of iron clusters with CO tips while using the high-resolution capability of the CO tips in between to determine the arrangement of the individual iron atoms within the cluster. Additionally, we were able to laterally manipulate single copper and silicon adatoms without changing or losing the CO from the tip's apex.

cond-mat.mes-hall↗

arXiv2017

Interatomic force laws that corrupt their own measurement

Atomically-resolved imaging and force measurements using the atomic force microscope (AFM) are performed most commonly in a frequency-modulation (FM) mode. This has led to spectacular results, including direct observation of the atomic structure of complex molecules and quantification of chemical and frictional forces at the atomic scale. We address here a critical question: Is recovery of force from the measured frequency shift experienced by the AFM cantilever ill-posed - that is, unreliable in the presence of (unavoidable) measurement uncertainty? Resolution of this issue underlies all force measurements using FM-AFM, but remains outstanding. It is shown that concavity of the force law's distance dependence controls ill-posed behavior, with a rapid concavity change corrupting force measurements by inducing spurious and unphysical effects - such rapid change is not uncommon. Practical conditions to eliminate ill-posed behavior are formulated which are verified experimentally. This study lays the foundations for robust atomically-resolved force spectroscopy and future work that will seek to regularize ill-posed force measurements.

cond-mat.mes-hall↗