Impact of thermal frequency drift on highest precision force microscopy using quartz-based force sensors at low temperatures

Pielmeier, Florian; Meuer, Daniel; Schmid, Daniel; Strunk, Christoph; Giessibl, Franz J.

doi:10.3762/bjnano.5.48

Cited by 10 publications

(7 citation statements)

References 29 publications

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“… Parameter qPlus Cantilever f 0 [kHz] 56.59 136 k 1800 42 A [pm] 100 240 n q 25 17 B [Hz] 100 1000 Q 150–1600 1–30 The values for the cantilever are taken from Fukuma et al . 14 and the ones for qPlus are typical specifications of our latest custom qPlus sensors which have a higher resonance frequency (as described in 56 ). …”

Section: Resultsmentioning

confidence: 99%

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Imaging in Biologically-Relevant Environments with AFM Using Stiff qPlus Sensors

Pürckhauer

Weymouth

Pfeffer

et al. 2018

Sci Rep

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High-resolution imaging of soft biological samples with atomic force microscopy (AFM) is challenging because they must be imaged with small forces to prevent deformation. Typically, AFM of those samples is performed with soft silicon cantilevers (k ≈ 0.1–10 N/m) and optical detection in a liquid environment. We set up a new microscope that uses a stiff qPlus sensor (k ≥ 1 kN/m). Several complex biologically-relevant solutions are non-transparent, and even change their optical properties over time, such as the cell culture medium we used. While this would be problematic for AFM setups with optical detection, it is no problem for our qPlus setup which uses electrical detection. The high stiffness of the qPlus sensor allows us to use small amplitudes in frequency-modulation mode and obtain high Q factors even in liquid. The samples are immersed in solution in a liquid cell and long tips are used, with only the tip apex submerged. We discuss the noise terms and compare the minimal detectable signal to that of soft cantilevers. Atomic resolution of muscovite mica was achieved in various liquids: H2O, Tris buffer and a cell culture medium. We show images of lipid membranes in which the individual head groups are resolved.

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Section: Resultsmentioning

confidence: 99%

“… The values for the cantilever are taken from Fukuma et al . 14 and the ones for qPlus are typical specifications of our latest custom qPlus sensors which have a higher resonance frequency (as described in 56 ). …”

Section: Resultsmentioning

confidence: 99%

Imaging in Biologically-Relevant Environments with AFM Using Stiff qPlus Sensors

Pürckhauer

Weymouth

Pfeffer

et al. 2018

Sci Rep

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“…18,20 There are also external noise sources such as building vibrations or temperature fluctuations. 22 It is beyond the scope of the present work to discuss in detail the impact of these noise sources on AFM data. Here, we take for granted the main conclusions of previous works 18,23 that led to the conclusion that the measurement noise is minimized when the oscillation amplitude is of the order of magnitude of the decay length of the tip-surface interaction, meaning A ' 100 pm for a typical short-range interaction potential, and the cantilever stiffness k is of the order of 1000 NÁm À1 , mainly to prevent jump to contact instabilities.…”

Section: Measurement Noise Of Piezoresistive Cantileversmentioning

confidence: 99%

Electrothermally driven high-frequency piezoresistive SiC cantilevers for dynamic atomic force microscopy

Boubekri

Cambril

Couraud

et al. 2014

Journal of Applied Physics

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Note: Micro-cantilevers with AlN actuators and PtSi tips for multi-frequency atomic force microscopy Rev. Sci. Instrum. 83, 096107 (2012); 10.1063/1.4755749 Mechanism of eliminating basal plane dislocations in SiC thin films by epitaxy on an etched substrateCantilevers with resonance frequency ranging from 1 MHz to 100 MHz have been developed for dynamic atomic force microscopy. These sensors are fabricated from 3C-SiC epilayers grown on Si(100) substrates by low pressure chemical vapor deposition. They use an on-chip method both for driving and sensing the displacement of the cantilever. A first gold metallic loop deposited on top of the cantilever is used to drive its oscillation by electrothermal actuation. The sensing of this oscillation is performed by monitoring the resistance of a second Au loop. This metallic piezoresistive detection method has distinct advantages relative to more common semiconductor-based schemes. The optimization, design, fabrication, and characteristics of these cantilevers are discussed. V C 2014 AIP Publishing LLC. [http://dx.

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“…First, we make the approximation that coupling between the beams does not significantly affect the resonance frequency of the eigenmode. This is a rather stringent requirement, but measurements have shown that the shift due to coupling is under most conditions minimal [11,12]. Within this assumption, the resonance frequencies of a single beam (dimension l × w × t ) can be easily calculated as follows [13][14][15],…”

Section: Single Beam Approximationmentioning

confidence: 99%

Eigenmodes of a quartz tuning fork and their application to photoinduced force microscopy

et al. 2017

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We examine the mechanical eigenmodes of a quartz tuning fork (QTF) for the purpose of facilitating its use as a probe for multi-frequency atomic force microscopy (AFM). We perform simulations based on the three-dimensional finite element method (FEM) and compare the observed motions of the beams with experimentally measured resonance frequencies of two QTF systems. The comparison enabled us to assign the first seven asymmetric eigenmodes of the QTF. We also find that a modified version of single beam theory can be used to guide the assignment of mechanical eigenmodes of QTFs. The usefulness of the QTF for multi-frequency AFM measurements is demonstrated through photo-induced force microscopy (PiFM) measurements. By using the QTF in different configurations, we show that the vectorial components of the photo-induced force can be independently assessed, and that lateral forces can be probed in true non-contact mode.

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Impact of thermal frequency drift on highest precision force microscopy using quartz-based force sensors at low temperatures

Cited by 10 publications

References 29 publications

Imaging in Biologically-Relevant Environments with AFM Using Stiff qPlus Sensors

Imaging in Biologically-Relevant Environments with AFM Using Stiff qPlus Sensors

Electrothermally driven high-frequency piezoresistive SiC cantilevers for dynamic atomic force microscopy

Eigenmodes of a quartz tuning fork and their application to photoinduced force microscopy

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