Quantifying Tip-Sample Interactions in Vacuum Using Cantilever-Based Sensors: An Analysis
Abstract
Atomic force microscopy is an analytical characterization method that is able to image a sample’s surface topography at high resolution while simultaneously probing a variety of different sample properties. Such properties include tip-sample interactions, the local measurement of which has gained much popularity in recent years. To this end, either the oscillation frequency or the oscillation amplitude and phase of the vibrating force-sensing cantilever are recorded as a function of tip-sample distance and subsequently converted into quantitative values for the force or interaction potential. Here, we theoretically and experimentally show that the force law obtained from such data acquired under vacuum conditions using the most commonly applied methods may deviate more than previously assumed from the actual interaction when the oscillation amplitude of the probe is of the order of the decay length of the force near the surface, which may result in a non-negligible error if correct absolute values are of importance. Caused by approximations made in the development of the mathematical reconstruction procedures, the related inaccuracies can be effectively suppressed by using oscillation amplitudes sufficiently larger than the decay length. To facilitate efficient data acquisition, we propose a technique that includes modulating the drive amplitude at a constantmore »
- Authors:
-
- Yale Univ., New Haven, CT (United States). Dept. of Mechanical Engineering and Materials Science
- Yale Univ., New Haven, CT (United States). Dept. of Chemical and Environmental Engineering
- Publication Date:
- Research Org.:
- Yale Univ., New Haven, CT (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Science Foundation (NSF)
- OSTI Identifier:
- 1540708
- Alternate Identifier(s):
- OSTI ID: 1434835
- Grant/Contract Number:
- SC0016179; CHE-1608568; DMR-1119826.
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Applied
- Additional Journal Information:
- Journal Volume: 9; Journal Issue: 4; Journal ID: ISSN 2331-7019
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; 36 MATERIALS SCIENCE; 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; Physics
Citation Formats
Dagdeviren, Omur E., Zhou, Chao, Altman, Eric I., and Schwarz, Udo D. Quantifying Tip-Sample Interactions in Vacuum Using Cantilever-Based Sensors: An Analysis. United States: N. p., 2018.
Web. doi:10.1103/physrevapplied.9.044040.
Dagdeviren, Omur E., Zhou, Chao, Altman, Eric I., & Schwarz, Udo D. Quantifying Tip-Sample Interactions in Vacuum Using Cantilever-Based Sensors: An Analysis. United States. https://doi.org/10.1103/physrevapplied.9.044040
Dagdeviren, Omur E., Zhou, Chao, Altman, Eric I., and Schwarz, Udo D. Thu .
"Quantifying Tip-Sample Interactions in Vacuum Using Cantilever-Based Sensors: An Analysis". United States. https://doi.org/10.1103/physrevapplied.9.044040. https://www.osti.gov/servlets/purl/1540708.
@article{osti_1540708,
title = {Quantifying Tip-Sample Interactions in Vacuum Using Cantilever-Based Sensors: An Analysis},
author = {Dagdeviren, Omur E. and Zhou, Chao and Altman, Eric I. and Schwarz, Udo D.},
abstractNote = {Atomic force microscopy is an analytical characterization method that is able to image a sample’s surface topography at high resolution while simultaneously probing a variety of different sample properties. Such properties include tip-sample interactions, the local measurement of which has gained much popularity in recent years. To this end, either the oscillation frequency or the oscillation amplitude and phase of the vibrating force-sensing cantilever are recorded as a function of tip-sample distance and subsequently converted into quantitative values for the force or interaction potential. Here, we theoretically and experimentally show that the force law obtained from such data acquired under vacuum conditions using the most commonly applied methods may deviate more than previously assumed from the actual interaction when the oscillation amplitude of the probe is of the order of the decay length of the force near the surface, which may result in a non-negligible error if correct absolute values are of importance. Caused by approximations made in the development of the mathematical reconstruction procedures, the related inaccuracies can be effectively suppressed by using oscillation amplitudes sufficiently larger than the decay length. To facilitate efficient data acquisition, we propose a technique that includes modulating the drive amplitude at a constant height from the surface while monitoring the oscillation amplitude and phase. Ultimately, such an amplitude-sweep-based force spectroscopy enables shorter data acquisition times and increased accuracy for quantitative chemical characterization compared to standard approaches that vary the tip-sample distance. An additional advantage is that since no feedback loop is active while executing the amplitude sweep, the force can be consistently recovered deep into the repulsive regime.},
doi = {10.1103/physrevapplied.9.044040},
journal = {Physical Review Applied},
number = 4,
volume = 9,
place = {United States},
year = {Thu Apr 26 00:00:00 EDT 2018},
month = {Thu Apr 26 00:00:00 EDT 2018}
}
Web of Science
Works referenced in this record:
Dynamic atomic force microscopy methods
journal, September 2002
- García, R.
- Surface Science Reports, Vol. 47, Issue 6-8
Force reconstruction from tapping mode force microscopy experiments
journal, April 2015
- Payam, Amir F.; Martin-Jimenez, Daniel; Garcia, Ricardo
- Nanotechnology, Vol. 26, Issue 18
Quantitative analysis of dynamic-force-spectroscopy data on graphite(0001) in the contact and noncontact regimes
journal, May 2000
- Hölscher, H.; Schwarz, A.; Allers, W.
- Physical Review B, Vol. 61, Issue 19
Forces and frequency shifts in atomic-resolution dynamic-force microscopy
journal, December 1997
- Giessibl, Franz J.
- Physical Review B, Vol. 56, Issue 24
Basic properties of dynamic force spectroscopy with the scanning force microscope in experiment and simulation
journal, December 1996
- Anczykowski, B.; Krüger, D.; Babcock, K. L.
- Ultramicroscopy, Vol. 66, Issue 3-4
Submolecular features of epitaxially grown PTCDA on Cu(111) analyzed by force field spectroscopy
journal, June 2009
- Braun, D-A; Weiner, D.; Such, B.
- Nanotechnology, Vol. 20, Issue 26
Three-dimensional imaging of short-range chemical forces with picometre resolution
journal, April 2009
- Albers, Boris J.; Schwendemann, Todd C.; Baykara, Mehmet Z.
- Nature Nanotechnology, Vol. 4, Issue 5
JKR-DMT transition in the presence of a liquid meniscus
journal, January 1994
- Maugis, D.; Gauthier-Manuel, B.
- Journal of Adhesion Science and Technology, Vol. 8, Issue 11
Accurate formulas for interaction force and energy in frequency modulation force spectroscopy
journal, March 2004
- Sader, John E.; Jarvis, Suzanne P.
- Applied Physics Letters, Vol. 84, Issue 10
Atomic force microscope–force mapping and profiling on a sub 100‐Å scale
journal, May 1987
- Martin, Y.; Williams, C. C.; Wickramasinghe, H. K.
- Journal of Applied Physics, Vol. 61, Issue 10
Atomic force microscopy and spectroscopy
journal, December 2007
- Seo, Yongho; Jhe, Wonho
- Reports on Progress in Physics, Vol. 71, Issue 1
An alternative to the Maugis model of adhesion between elastic spheres
journal, November 1998
- Greenwood, J. A.; Johnson, K. L.
- Journal of Physics D: Applied Physics, Vol. 31, Issue 22
Theory of phase-modulation atomic force microscopy with constant-oscillation amplitude
journal, March 2008
- Hölscher, Hendrik
- Journal of Applied Physics, Vol. 103, Issue 6
Quantitative force versus distance measurements in amplitude modulation AFM: a novel force inversion technique
journal, April 2009
- Katan, Allard J.; van Es, Maarten H.; Oosterkamp, Tjerk H.
- Nanotechnology, Vol. 20, Issue 16
Quantitative analysis of the frictional properties of solid materials at low loads. I. Carbon compounds
journal, September 1997
- Schwarz, Udo D.; Zwörner, Oliver; Köster, Peter
- Physical Review B, Vol. 56, Issue 11
Dynamic force spectroscopy using the frequency modulation technique with constant excitation
journal, October 2003
- Hölscher, H.; Gotsmann, B.; Schirmeisen, A.
- Physical Review B, Vol. 68, Issue 15
Advances in atomic force microscopy
journal, July 2003
- Giessibl, Franz J.
- Reviews of Modern Physics, Vol. 75, Issue 3
Coupling of conservative and dissipative forces in frequency-modulation atomic force microscopy
journal, November 2006
- Sader, John E.; Jarvis, Suzanne P.
- Physical Review B, Vol. 74, Issue 19
Calculation of the optimal imaging parameters for frequency modulation atomic force microscopy
journal, February 1999
- Giessibl, Franz J.; Bielefeldt, Hartmut; Hembacher, Stefan
- Applied Surface Science, Vol. 140, Issue 3-4
Three-Dimensional Atomic Force Microscopy - Taking Surface Imaging to the Next Level
journal, April 2010
- Baykara, Mehmet Z.; Schwendemann, Todd C.; Altman, Eric I.
- Advanced Materials, Vol. 22, Issue 26-27
Determination of Tip-Sample Interaction Potentials by Dynamic Force Spectroscopy
journal, December 1999
- Hölscher, H.; Allers, W.; Schwarz, U. D.
- Physical Review Letters, Vol. 83, Issue 23
Interpretation of force curves in force microscopy
journal, April 1993
- Burnham, N. A.; Colton, R. J.; Pollock, H. M.
- Nanotechnology, Vol. 4, Issue 2
Relations between interaction force and frequency shift in large-amplitude dynamic force microscopy
journal, July 1999
- Dürig, U.
- Applied Physics Letters, Vol. 75, Issue 3
Robust high-resolution imaging and quantitative force measurement with tuned-oscillator atomic force microscopy
journal, January 2016
- Dagdeviren, Omur E.; Götzen, Jan; Hölscher, Hendrik
- Nanotechnology, Vol. 27, Issue 6
General Theory of Amplitude-Modulation Atomic Force Microscopy
journal, July 2006
- Lee, Manhee; Jhe, Wonho
- Physical Review Letters, Vol. 97, Issue 3
Inverting amplitude and phase to reconstruct tip–sample interaction forces in tapping mode atomic force microscopy
journal, August 2008
- Hu, Shuiqing; Raman, Arvind
- Nanotechnology, Vol. 19, Issue 37
A direct method to calculate tip–sample forces from frequency shifts in frequency-modulation atomic force microscopy
journal, January 2001
- Giessibl, F. J.
- Applied Physics Letters, Vol. 78, Issue 1
The Chemical Structure of a Molecule Resolved by Atomic Force Microscopy
journal, August 2009
- Gross, L.; Mohn, F.; Moll, N.
- Science, Vol. 325, Issue 5944
Atomically resolved mechanical response of individual metallofullerene molecules confined inside carbon nanotubes
journal, May 2008
- Ashino, Makoto; Obergfell, Dirk; Haluška, Miro
- Nature Nanotechnology, Vol. 3, Issue 6
Q-controlled dynamic force spectroscopy
journal, September 2002
- Hölscher, Hendrik
- Surface Science, Vol. 515, Issue 2-3
Probing three-dimensional surface force fields with atomic resolution: Measurement strategies, limitations, and artifact reduction
journal, January 2012
- Baykara, Mehmet Z.; Dagdeviren, Omur E.; Schwendemann, Todd C.
- Beilstein Journal of Nanotechnology, Vol. 3
Theory of amplitude modulation atomic force microscopy with and without Q-Control
journal, May 2007
- Hölscher, Hendrik; Schwarz, Udo D.
- International Journal of Non-Linear Mechanics, Vol. 42, Issue 4
Interaction imaging with amplitude-dependence force spectroscopy
journal, January 2013
- Platz, Daniel; Forchheimer, Daniel; Tholén, Erik A.
- Nature Communications, Vol. 4, Issue 1
Atomic resolution in scanning force microscopy: Concepts, requirements, contrast mechanisms, and image interpretation
journal, November 2000
- Schwarz, Udo D.; Hölscher, Hendrik; Wiesendanger, Roland
- Physical Review B, Vol. 62, Issue 19
Exploring site-specific chemical interactions at surfaces: a case study on highly ordered pyrolytic graphite
journal, November 2016
- Dagdeviren, Omur E.; Götzen, Jan; Altman, Eric I.
- Nanotechnology, Vol. 27, Issue 48
Combined low-temperature scanning tunneling/atomic force microscope for atomic resolution imaging and site-specific force spectroscopy
journal, March 2008
- Albers, Boris J.; Liebmann, Marcus; Schwendemann, Todd C.
- Review of Scientific Instruments, Vol. 79, Issue 3
Fast digital electronics for application in dynamic force microscopy using high-Q cantilevers
journal, March 1998
- Loppacher, C.; Bammerlin, M.; Battiston, F.
- Applied Physics A: Materials Science & Processing, Vol. 66, Issue 7
Frequency modulation detection using high‐ Q cantilevers for enhanced force microscope sensitivity
journal, January 1991
- Albrecht, T. R.; Grütter, P.; Horne, D.
- Journal of Applied Physics, Vol. 69, Issue 2
Atomic Force Microscope
journal, March 1986
- Binnig, G.; Quate, C. F.; Gerber, Ch.
- Physical Review Letters, Vol. 56, Issue 9
Optimizing qPlus sensor assemblies for simultaneous scanning tunneling and noncontact atomic force microscopy operation based on finite element method analysis
journal, January 2017
- Dagdeviren, Omur E.; Schwarz, Udo D.
- Beilstein Journal of Nanotechnology, Vol. 8
Determination of tip–sample interaction forces from measured dynamic force spectroscopy curves
journal, February 1999
- Gotsmann, B.; Anczykowski, B.; Seidel, C.
- Applied Surface Science, Vol. 140, Issue 3-4
High-speed force sensor for force microscopy and profilometry utilizing a quartz tuning fork
journal, December 1998
- Giessibl, Franz J.
- Applied Physics Letters, Vol. 73, Issue 26
Quantitative force measurements using frequency modulation atomic force microscopy?theoretical foundations
journal, January 2005
- Sader, John E.; Uchihashi, Takayuki; Higgins, Michael J.
- Nanotechnology, Vol. 16, Issue 3
Reversal of atomic contrast in scanning probe microscopy on (111) metal surfaces
journal, February 2012
- Ondráček, M.; González, C.; Jelínek, P.
- Journal of Physics: Condensed Matter, Vol. 24, Issue 8
Three-dimensional dynamic force spectroscopy measurements on KBr(001): atomic deformations at small tip–sample separations
journal, January 2012
- Fremy, S.; Kawai, S.; Pawlak, R.
- Nanotechnology, Vol. 23, Issue 5
Measuring the Charge State of an Adatom with Noncontact Atomic Force Microscopy
journal, June 2009
- Gross, L.; Mohn, F.; Liljeroth, P.
- Science, Vol. 324, Issue 5933
Calculation of the frequency shift in dynamic force microscopy
journal, February 1999
- Hölscher, H.; Schwarz, U. D.; Wiesendanger, R.
- Applied Surface Science, Vol. 140, Issue 3-4
Forces and Currents in Carbon Nanostructures: Are We Imaging Atoms?
journal, April 2011
- Ondráček, Martin; Pou, Pablo; Rozsíval, Vít
- Physical Review Letters, Vol. 106, Issue 17
A generalized analytical model for the elastic deformation of an adhesive contact between a sphere and a flat surface
journal, May 2003
- Schwarz, U. D.
- Journal of Colloid and Interface Science, Vol. 261, Issue 1
Interplay of the tip–sample junction stability and image contrast reversal on a Cu(111) surface revealed by the 3D force field
journal, January 2012
- Such, Bartosz; Glatzel, Thilo; Kawai, Shigeki
- Nanotechnology, Vol. 23, Issue 4
Analysis of the interaction mechanisms in dynamic mode SFM by means of experimental data and computer simulation
journal, March 1998
- Anczykowski, B.; Cleveland, J. P.; Krüger, D.
- Applied Physics A: Materials Science & Processing, Vol. 66, Issue 7
Numerical performance analysis of quartz tuning fork-based force sensors
journal, December 2016
- Dagdeviren, Omur E.; Schwarz, Udo D.
- Measurement Science and Technology, Vol. 28, Issue 1
A direct method to calculate tip–sample forces from frequency shifts in frequency-modulation atomic force microscopy
text, January 2001
- Giessibl, Franz J.
- Universität Regensburg
Atomic Force Microscope. [原子間力顕微鏡]
journal, January 1991
- Tsuda, Nobuhiro
- Journal of the Japan Society for Precision Engineering, Vol. 57, Issue 7
Forces and frequency shifts in atomic-resolution dynamic-force microscopy
text, January 1997
- Giessibl, Franz J.
- Universität Regensburg
A Generalized Analytical Model for the Elastic Deformation of an Adhesive Contact Between a Sphere and a Flat Surface
conference, November 2008
- Schwarz, Udo D.
- World Tribology Congress III, Volume 1
Advances in Atomic Force Microscopy.
journal, January 1996
- Yamada, Hirofumi
- Hyomen Kagaku, Vol. 17, Issue 1
High-speed force sensor for force microscopy and profilometry utilizing a quartz tuning fork
text, January 1998
- Giessibl, Franz J.
- Universität Regensburg
Works referencing / citing this record:
Calibration of the oscillation amplitude of electrically excited scanning probe microscopy sensors
journal, January 2019
- Dagdeviren, Omur E.; Miyahara, Yoichi; Mascaro, Aaron
- Review of Scientific Instruments, Vol. 90, Issue 1
Accuracy of tip-sample interaction measurements using dynamic atomic force microscopy techniques: Dependence on oscillation amplitude, interaction strength, and tip-sample distance
journal, March 2019
- Dagdeviren, Omur E.; Schwarz, Udo D.
- Review of Scientific Instruments, Vol. 90, Issue 3
A Fourier method for estimating potential energy and lateral forces from frequency-modulation lateral force microscopy data
journal, August 2019
- Seeholzer, T.; Gretz, O.; Giessibl, F. J.
- New Journal of Physics, Vol. 21, Issue 8
Automated structure discovery in atomic force microscopy
journal, February 2020
- Alldritt, Benjamin; Hapala, Prokop; Oinonen, Niko
- Science Advances, Vol. 6, Issue 9
Amplitude Dependence of Resonance Frequency and its Consequences for Scanning Probe Microscopy
journal, October 2019
- Dagdeviren, Omur E.; Miyahara, Yoichi; Mascaro, Aaron
- Sensors, Vol. 19, Issue 20
Review of time-resolved non-contact electrostatic force microscopy techniques with applications to ionic transport measurements
journal, January 2019
- Mascaro, Aaron; Miyahara, Yoichi; Enright, Tyler
- Beilstein Journal of Nanotechnology, Vol. 10
A Fourier method for estimating potential energy and lateral forces from frequency-modulation lateral force microscopy data
text, January 2019
- Seeholzer, Theresa; Gretz, Oliver; Giessibl, Franz J.
- Universität Regensburg
Amplitude dependence of resonance frequency and its consequences for scanning probe microscopy
preprint, January 2018
- Dagdeviren, Omur E.; Miyahara, Yoichi; Mascaro, Aaron
- arXiv