Abstract

Atomic force microscopy (AFM) was introduced in 1986 and has since made its way into surface science, nanoscience, chemistry, biology, and material science as an imaging and manipulating tool with a rising number of applications. AFM can be employed in ambient and liquid environments as well as in vacuum and at low and ultralow temperatures. The technique is an offspring of scanning tunneling microscopy (STM), where the tunneling tip of the STM is replaced by using a force sensor with an attached tip. Measuring the tiny chemical forces that act between the tip and the sample is more difficult than measuring the tunneling current in STM. Therefore, even 30 years after the introduction of AFM, progress in instrumentation is substantial. Here, we focus on the core of the AFM, the force sensor with its tip and detection mechanism. Initially, force sensors were mainly micro-machined silicon cantilevers, mainly using optical methods to detect their deflection. The qPlus sensor, originally based on a quartz tuning fork and now custom built from quartz, is self-sensing by utilizing the piezoelectricity of quartz. The qPlus sensor allows us to perform STM and AFM in parallel, and the spatial resolution of its AFM channel has reached the subatomic level, exceeding the resolution of STM. Frequency modulation AFM (FM-AFM), where the frequency of an oscillating cantilever is altered by the gradient of the force that acts between the tip and the sample, has emerged over the years as the method that provides atomic and subatomic spatial resolution as well as force spectroscopy with sub-piconewton sensitivity. FM-AFM is precise; because of all physical observables, time and frequency can be measured by far with the greatest accuracy. By design, FM-AFM clearly separates conservative and dissipative interactions where conservative forces induce a frequency shift and dissipative interactions alter the power needed to maintain a constant oscillation amplitude of the cantilever. As it operates in a noncontact mode, it enables simultaneous AFM and STM measurements. The frequency stability of quartz and the small oscillation amplitudes that are possible with stiff quartz sensors optimize the signal to noise ratio. Here, we discuss the operating principles, the assembly of qPlus sensors, amplifiers, limiting factors, and applications. Applications encompass unprecedented subatomic spatial resolution, the measurement of forces that act in atomic manipulation, imaging and spectroscopy of spin-dependent forces, and atomic resolution of organic molecules, graphite, graphene, and oxides.

Highlights

  • The technique is an offspring of scanning tunneling microscopy (STM), where the tunneling tip of the scanning tunneling microscope (STM) is replaced by using a force sensor with an attached tip

  • Frequency modulation Atomic force microscopy (AFM) (FM-AFM), where the frequency of an oscillating cantilever is altered by the gradient of the force that acts between the tip and the sample, has emerged over the years as the method that provides atomic and subatomic spatial resolution as well as force spectroscopy with sub-piconewton sensitivity

  • STM was invented by Gerd Binnig and Heinrich Rohrer in 1981, and the author still remembers the day in the fall of 1985 when he first heard about this incredible instrument in a hallway of ETH Zurich as an undergraduate student

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Summary

INTRODUCTION

The first instrument that allowed to image a surface at atomic resolution was the scanning tunneling microscope (STM). STM was invented by Gerd Binnig and Heinrich Rohrer in 1981, and the author still remembers the day in the fall of 1985 when he first heard about this incredible instrument in a hallway of ETH Zurich as an undergraduate student In those days, it was taught early on in school that while the existence of atoms is unquestioned, it is impossible to “see” them except for the atomic structure of sharp tips in a field ion microscope. In the development of STM, profound experimental challenges have been mastered such as establishing mechanically stable vacuum tunneling junctions on a picometer lengthscale, sub-Angstrom scanning precision, as well as the preparation of atomically sharp tips and clean flat samples. The AFM usually exceeds the spatial resolution of STM, and the key element of the AFM is the force detector with its tip and deflection sensor, which is the subject of the present article

Quasistatic mode
Dynamic modes
Stability criterion
PHYSICS OF FREQUENCY MODULATION ATOMIC FORCE MICROSCOPY
Frequency shift as a function of tip-sample forces
Deconvolution of forces from frequency shifts
Thermal noise
Deflection detector noise
Oscillator noise
Frequency drift noise
Summary of noise calculations
Signal-to-noise ratio
Dissipative forces
Higher harmonics
THE qPLUS SENSOR AND ITS OBJECTIVE TO EMBODY AN IDEAL SENSOR FOR FM-AFM
Sensor and its fabrication
The probe tip of the sensor
Amplifier and wiring
Sensor excitation
EXPERIMENTAL NOISE MEASUREMENTS OF QPLUS SENSORS
Thermal noise peak
Detector noise
Oscillator noise for quartz sensors
Frequency drift noise for quartz sensors
Comparison between experimental and theoretical noise data
Identification of sensor noise in an experimental FM-AFM image
APPLICATIONS
First results in ambient conditions
Atomic resolution of lipid bilayers in thin liquid films
Subatomic spatial resolution on silicon and CoSm
Submolecular resolution of structure and work function on organic molecules
Simultaneous STM and AFM on graphite
Current-induced electrostatic forces
Measurement of forces that act during atomic manipulation
Metallic surfaces and metal clusters
Subatomic spatial resolution on copper and iron adatoms
10. Van der Waals forces
11. Silicon
12. Topological insulators
13. Atomically resolved damping
14. Imaging involving superconductors
16. Lateral force microscopy and friction measurements
17. Oxides
18. Exchange force microscopy
New frontiers
SUMMARY AND OUTLOOK
Findings
General physical quantities and constants

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