Quantification of surface displacements and electromechanical phenomena via dynamic atomic force microscopy
Abstract
Detection of dynamic surface displacements associated with local changes in material strain provides access to a number of phenomena and material properties. Contact resonance-enhanced methods of atomic force microscopy (AFM) have been shown capable of detecting ~1–3 pm-level surface displacements, an approach used in techniques such as piezoresponse force microscopy, atomic force acoustic microscopy, and ultrasonic force microscopy. Here, based on an analytical model of AFM cantilever vibrations, we demonstrate a guideline to quantify surface displacements with high accuracy by taking into account the cantilever shape at the first resonant contact mode, depending on the tip–sample contact stiffness. The approach has been experimentally verified and further developed for piezoresponse force microscopy (PFM) using well-defined ferroelectric materials. These results open up a way to accurate and precise measurements of surface displacement as well as piezoelectric constants at the pm-scale with nanometer spatial resolution and will allow avoiding erroneous data interpretations and measurement artifacts. Furthermore, this analysis is directly applicable to all cantilever-resonance-based scanning probe microscopy (SPM) techniques.
- Authors:
-
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Tsinghua Univ., Beijing (People's Republic of China); Collaborative Innovation Center of Quantum Matter, Beijing (People's Republic of China); RIKEN Center for Emergent Matter Science (CEMS), Saitama (Japan)
- Southern Research, Birmingham, AL (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Aveiro, Aveiro (Portugal)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1338484
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nanotechnology
- Additional Journal Information:
- Journal Volume: 27; Journal Issue: 42; Journal ID: ISSN 0957-4484
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 77 NANOSCIENCE AND NANOTECHNOLOGY; 36 MATERIALS SCIENCE; scanning probe microscopy; ferroelectrics; cantilever dynamics
Citation Formats
Balke, Nina, Jesse, Stephen, Yu, Pu, Carmichael, Ben, Kalinin, Sergei V., and Tselev, Alexander. Quantification of surface displacements and electromechanical phenomena via dynamic atomic force microscopy. United States: N. p., 2016.
Web. doi:10.1088/0957-4484/27/42/425707.
Balke, Nina, Jesse, Stephen, Yu, Pu, Carmichael, Ben, Kalinin, Sergei V., & Tselev, Alexander. Quantification of surface displacements and electromechanical phenomena via dynamic atomic force microscopy. United States. https://doi.org/10.1088/0957-4484/27/42/425707
Balke, Nina, Jesse, Stephen, Yu, Pu, Carmichael, Ben, Kalinin, Sergei V., and Tselev, Alexander. Thu .
"Quantification of surface displacements and electromechanical phenomena via dynamic atomic force microscopy". United States. https://doi.org/10.1088/0957-4484/27/42/425707. https://www.osti.gov/servlets/purl/1338484.
@article{osti_1338484,
title = {Quantification of surface displacements and electromechanical phenomena via dynamic atomic force microscopy},
author = {Balke, Nina and Jesse, Stephen and Yu, Pu and Carmichael, Ben and Kalinin, Sergei V. and Tselev, Alexander},
abstractNote = {Detection of dynamic surface displacements associated with local changes in material strain provides access to a number of phenomena and material properties. Contact resonance-enhanced methods of atomic force microscopy (AFM) have been shown capable of detecting ~1–3 pm-level surface displacements, an approach used in techniques such as piezoresponse force microscopy, atomic force acoustic microscopy, and ultrasonic force microscopy. Here, based on an analytical model of AFM cantilever vibrations, we demonstrate a guideline to quantify surface displacements with high accuracy by taking into account the cantilever shape at the first resonant contact mode, depending on the tip–sample contact stiffness. The approach has been experimentally verified and further developed for piezoresponse force microscopy (PFM) using well-defined ferroelectric materials. These results open up a way to accurate and precise measurements of surface displacement as well as piezoelectric constants at the pm-scale with nanometer spatial resolution and will allow avoiding erroneous data interpretations and measurement artifacts. Furthermore, this analysis is directly applicable to all cantilever-resonance-based scanning probe microscopy (SPM) techniques.},
doi = {10.1088/0957-4484/27/42/425707},
journal = {Nanotechnology},
number = 42,
volume = 27,
place = {United States},
year = {Thu Sep 15 00:00:00 EDT 2016},
month = {Thu Sep 15 00:00:00 EDT 2016}
}
Web of Science
Works referenced in this record:
Nanoscale Visualization and Control of Ferroelectric Domains by Atomic Force Microscopy
journal, May 1995
- Kolosov, Oleg; Gruverman, Alexei; Hatano, Jun
- Physical Review Letters, Vol. 74, Issue 21
Nonlinear Phenomena in Multiferroic Nanocapacitors: Joule Heating and Electromechanical Effects
journal, October 2011
- Kim, Yunseok; Kumar, Amit; Tselev, Alexander
- ACS Nano, Vol. 5, Issue 11
Nanoscale Imaging of Plasmonic Hot Spots and Dark Modes with the Photothermal-Induced Resonance Technique
journal, June 2013
- Lahiri, Basudev; Holland, Glenn; Aksyuk, Vladimir
- Nano Letters, Vol. 13, Issue 7
Real Space Mapping of Li-Ion Transport in Amorphous Si Anodes with Nanometer Resolution
journal, September 2010
- Balke, Nina; Jesse, Stephen; Kim, Yoongu
- Nano Letters, Vol. 10, Issue 9
Imaging and measurement of local mechanical material properties by atomic force acoustic microscopy: Mechanical materials properties by AFAM
journal, February 2002
- Rabe, U.; Amelio, S.; Kopycinska, M.
- Surface and Interface Analysis, Vol. 33, Issue 2
Nanoscale elastic-property measurements and mapping using atomic force acoustic microscopy methods
journal, September 2005
- Hurley, D. C.; Kopycinska-Müller, M.; Kos, A. B.
- Measurement Science and Technology, Vol. 16, Issue 11
Scanning force microscopy for the study of domain structure in ferroelectric thin films
journal, March 1996
- Gruverman, A.
- Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures, Vol. 14, Issue 2
Differentiating 180° and 90° switching of ferroelectric domains with three-dimensional piezoresponse force microscopy
journal, November 2000
- Roelofs, A.; Böttger, U.; Waser, R.
- Applied Physics Letters, Vol. 77, Issue 21, p. 3444-3446
Electromechanical Imaging and Spectroscopy of Ferroelectric and Piezoelectric Materials: State of the Art and Prospects for the Future
journal, August 2009
- Balke, Nina; Bdikin, Igor; Kalinin, Sergei V.
- Journal of the American Ceramic Society, Vol. 92, Issue 8
Nanoscale mapping of ion diffusion in a lithium-ion battery cathode
journal, August 2010
- Balke, N.; Jesse, S.; Morozovska, A. N.
- Nature Nanotechnology, Vol. 5, Issue 10
Local Detection of Activation Energy for Ionic Transport in Lithium Cobalt Oxide
journal, June 2012
- Balke, Nina; Kalnaus, Sergiy; Dudney, Nancy J.
- Nano Letters, Vol. 12, Issue 7
Quantitative determination of contact stiffness using atomic force acoustic microscopy
journal, March 2000
- Rabe, U.; Amelio, S.; Kester, E.
- Ultrasonics, Vol. 38, Issue 1-8, p. 430-437
Atomic force acoustic microscopy methods to determine thin-film elastic properties
journal, August 2003
- Hurley, D. C.; Shen, K.; Jennett, N. M.
- Journal of Applied Physics, Vol. 94, Issue 4
Ultrasonic force microscopy for nanometer resolution subsurface imaging
journal, January 1994
- Yamanaka, Kazushi; Ogiso, Hisato; Kolosov, Oleg
- Applied Physics Letters, Vol. 64, Issue 2
Resonance enhancement in piezoresponse force microscopy: Mapping electromechanical activity, contact stiffness, and Q factor
journal, July 2006
- Jesse, Stephen; Mirman, Boris; Kalinin, Sergei V.
- Applied Physics Letters, Vol. 89, Issue 2
Nonlinear contact resonance spectroscopy in atomic force microscopy
journal, November 2007
- Rupp, Daniel; Rabe, Ute; Hirsekorn, Sigrun
- Journal of Physics D: Applied Physics, Vol. 40, Issue 22
Controlled Nanopatterning of a Polymerized Ionic Liquid in a Strong Electric Field
journal, December 2014
- Bocharova, Vera; Agapov, Alexander L.; Tselev, Alexander
- Advanced Functional Materials, Vol. 25, Issue 5
Electrostatic nanolithography in polymers using atomic force microscopy
journal, June 2003
- Lyuksyutov, Sergei F.; Vaia, Richard A.; Paramonov, Pavel B.
- Nature Materials, Vol. 2, Issue 7
Peculiarities of an anomalous electronic current during atomic force microscopy assisted nanolithography on n-type silicon
journal, May 2003
- Lyuksyutov, Sergei F.; Paramonov, Pavel B.; Dolog, Ivan
- Nanotechnology, Vol. 14, Issue 7
Induced Water Condensation and Bridge Formation by Electric Fields in Atomic Force Microscopy
journal, August 2006
- Sacha, G. M.; Verdaguer, A.; Salmeron, M.
- The Journal of Physical Chemistry B, Vol. 110, Issue 30
Ab Initio Molecular Dynamics Study of Dissociation of Water under an Electric Field
journal, May 2012
- Saitta, A. Marco; Saija, Franz; Giaquinta, Paolo V.
- Physical Review Letters, Vol. 108, Issue 20
The Role of Electrochemical Phenomena in Scanning Probe Microscopy of Ferroelectric Thin Films
journal, June 2011
- Kalinin, Sergei V.; Jesse, Stephen; Tselev, Alexander
- ACS Nano, Vol. 5, Issue 7
Electrostrictive and electrostatic responses in contact mode voltage modulated scanning probe microscopies
journal, June 2014
- Eliseev, Eugene A.; Morozovska, Anna N.; Ievlev, Anton V.
- Applied Physics Letters, Vol. 104, Issue 23
Background-free piezoresponse force microscopy for quantitative measurements
journal, February 2014
- Wang, Wenbo; Geng, Yanan; Wu, Weida
- Applied Physics Letters, Vol. 104, Issue 7
Quantification of electromechanical coupling measured with piezoresponse force microscopy
journal, August 2014
- Lepadatu, Serban; Stewart, Mark; Cain, Markys G.
- Journal of Applied Physics, Vol. 116, Issue 6
Quantitative measurements of electromechanical response with a combined optical beam and interferometric atomic force microscope
journal, June 2015
- Labuda, Aleksander; Proksch, Roger
- Applied Physics Letters, Vol. 106, Issue 25
Electromechanical detection in scanning probe microscopy: Tip models and materials contrast
journal, July 2007
- Eliseev, Eugene A.; Kalinin, Sergei V.; Jesse, Stephen
- Journal of Applied Physics, Vol. 102, Issue 1
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
Resolution theory, and static and frequency-dependent cross-talk in piezoresponse force microscopy
journal, September 2010
- Jesse, S.; Guo, S.; Kumar, A.
- Nanotechnology, Vol. 21, Issue 40
Force modulation with a scanning force microscope: an analysis
journal, January 1997
- Mazeran, Pierre-Emmanuel; Loubet, Jean-Luc
- Tribology Letters, Vol. 3, Issue 1, p. 125-132
Lateral stiffness: A new nanomechanical measurement for the determination of shear strengths with friction force microscopy
journal, March 1997
- Carpick, R. W.; Ogletree, D. F.; Salmeron, M.
- Applied Physics Letters, Vol. 70, Issue 12
Measurement of Poisson’s ratio with contact-resonance atomic force microscopy
journal, August 2007
- Hurley, D. C.; Turner, J. A.
- Journal of Applied Physics, Vol. 102, Issue 3
Acoustic spectroscopy of lithium niobate: Elastic and piezoelectric coefficients
journal, September 2002
- Ogi, Hirotsugu; Kawasaki, Yasunori; Hirao, Masahiko
- Journal of Applied Physics, Vol. 92, Issue 5
Contact-resonance atomic force microscopy for viscoelasticity
journal, January 2008
- Yuya, P. A.; Hurley, D. C.; Turner, J. A.
- Journal of Applied Physics, Vol. 104, Issue 7
Normal and lateral modulation with a scanning force microscope, an analysis: implication in quantitative elastic and friction imaging
journal, January 1999
- Mazeran, Pierre‐Emmanuel; Loubet, Jean‐Luc
- Tribology Letters, Vol. 7, Issue 4, p. 199-212
Relationship between Q-factor and sample damping for contact resonance atomic force microscope measurement of viscoelastic properties
journal, June 2011
- Yuya, P. A.; Hurley, D. C.; Turner, J. A.
- Journal of Applied Physics, Vol. 109, Issue 11
Band excitation in scanning probe microscopy: sines of change
journal, November 2011
- Jesse, Stephen; Kalinin, Sergei V.
- Journal of Physics D: Applied Physics, Vol. 44, Issue 46
Differentiating Ferroelectric and Nonferroelectric Electromechanical Effects with Scanning Probe Microscopy
journal, May 2015
- Balke, Nina; Maksymovych, Petro; Jesse, Stephen
- ACS Nano, Vol. 9, Issue 6
Exploring Local Electrostatic Effects with Scanning Probe Microscopy: Implications for Piezoresponse Force Microscopy and Triboelectricity
journal, October 2014
- Balke, Nina; Maksymovych, Petro; Jesse, Stephen
- ACS Nano, Vol. 8, Issue 10
Towards local electromechanical probing of cellular and biomolecular systems in a liquid environment
journal, September 2007
- Kalinin, Sergei V.; Rodriguez, Brian J.; Jesse, Stephen
- Nanotechnology, Vol. 18, Issue 42
Finite-size effects and analytical modeling of electrostatic force microscopy applied to dielectric films
journal, June 2014
- Gomila, G.; Gramse, G.; Fumagalli, L.
- Nanotechnology, Vol. 25, Issue 25
Switching spectroscopy piezoresponse force microscopy of ferroelectric materials
journal, February 2006
- Jesse, Stephen; Baddorf, Arthur P.; Kalinin, Sergei V.
- Applied Physics Letters, Vol. 88, Issue 6
Excluding Contact Electrification in Surface Potential Measurement Using Kelvin Probe Force Microscopy
journal, January 2016
- Li, Shengming; Zhou, Yusheng; Zi, Yunlong
- ACS Nano, Vol. 10, Issue 2
In Situ Quantitative Study of Nanoscale Triboelectrification and Patterning
journal, May 2013
- Zhou, Yu Sheng; Liu, Ying; Zhu, Guang
- Nano Letters, Vol. 13, Issue 6
Manipulating Nanoscale Contact Electrification by an Applied Electric Field
journal, February 2014
- Zhou, Yu Sheng; Wang, Sihong; Yang, Ya
- Nano Letters, Vol. 14, Issue 3
Characterizing nanoscale scanning probes using electron microscopy: A novel fixture and a practical guide
journal, January 2016
- Jacobs, Tevis D. B.; Wabiszewski, Graham E.; Goodman, Alexander J.
- Review of Scientific Instruments, Vol. 87, Issue 1
Electrostrictive and electrostatic responses in contact mode voltage modulated Scanning Probe Microscopies
text, January 2014
- Eliseev, Eugene A.; Morozovska, Anna N.; Ievlev, Anton V.
- arXiv
Electromechanical Detection in Scanning Probe Microscopy: Tip Models and Materials Contrast
text, January 2006
- Eliseev, Eugene A.; Kalinin, Sergei V.; Jesse, Stephen
- arXiv
Works referencing / citing this record:
Piezoresponse force microscopy and nanoferroic phenomena
journal, April 2019
- Gruverman, Alexei; Alexe, Marin; Meier, Dennis
- Nature Communications, Vol. 10, Issue 1
Tunable quadruple-well ferroelectric van der Waals crystals
journal, November 2019
- Brehm, John A.; Neumayer, Sabine M.; Tao, Lei
- Nature Materials, Vol. 19, Issue 1
Electrostatic-free piezoresponse force microscopy
journal, January 2017
- Kim, Sungho; Seol, Daehee; Lu, Xiaoli
- Scientific Reports, Vol. 7, Issue 1
Synergetic effects of K + and Mg 2+ ion intercalation on the electrochemical and actuation properties of the two-dimensional Ti 3 C 2 MXene
journal, January 2017
- Gao, Qiang; Come, Jeremy; Naguib, Michael
- Faraday Discussions, Vol. 199
Ferroelectric or non-ferroelectric: Why so many materials exhibit “ferroelectricity” on the nanoscale
journal, June 2017
- Vasudevan, Rama K.; Balke, Nina; Maksymovych, Peter
- Applied Physics Reviews, Vol. 4, Issue 2
Direct observation of shear piezoelectricity in poly- l -lactic acid nanowires
journal, July 2017
- Smith, Michael; Calahorra, Yonatan; Jing, Qingshen
- APL Materials, Vol. 5, Issue 7
Correlation between drive amplitude and resonance frequency in electrochemical strain microscopy: Influence of electrostatic forces
journal, June 2017
- Lushta, Valon; Bradler, Stephan; Roling, Bernhard
- Journal of Applied Physics, Vol. 121, Issue 22
Piezoresponse force and electrochemical strain microscopy in dual AC resonance tracking mode: Analysis of tracking errors
journal, January 2018
- Bradler, Stephan; Schirmeisen, André; Roling, Bernhard
- Journal of Applied Physics, Vol. 123, Issue 3
Enhanced piezoelectricity of thin film hafnia-zirconia (HZO) by inorganic flexible substrates
journal, July 2018
- Hsain, H. Alex; Sharma, Pankaj; Yu, Hyeonggeun
- Applied Physics Letters, Vol. 113, Issue 2
Development of a scanning probe microscopy integrated atomic layer deposition system for in situ successive monitoring of thin film growth
journal, December 2018
- Cao, Kun; Hu, Quan; Cai, Jiaming
- Review of Scientific Instruments, Vol. 89, Issue 12
Electrostatic contribution to hysteresis loop in piezoresponse force microscopy
journal, April 2019
- Qiao, Huimin; Seol, Daehee; Sun, Changhyo
- Applied Physics Letters, Vol. 114, Issue 15
Experimental reconstruction of the contact resonance shape factor for quantification and amplification of bias-induced strain in atomic force microscopy
journal, April 2019
- Killgore, Jason P.; Deolia, Akshay; Robins, Lawrence
- Applied Physics Letters, Vol. 114, Issue 13
Local electromechanical characterization of Pr doped BiFeO 3 ceramics
journal, March 2018
- Abramov, A. S.; Alikin, D. O.; Neradovskiy, M. M.
- Ferroelectrics, Vol. 525, Issue 1
Quantification of in-contact probe-sample electrostatic forces with dynamic atomic force microscopy
journal, January 2017
- Balke, Nina; Jesse, Stephen; Carmichael, Ben
- Nanotechnology, Vol. 28, Issue 6
Piezoelectric displacement mapping of compliant surfaces by constant-excitation frequency-modulation piezoresponse force microscopy
journal, November 2019
- Labardi, M.; Magnani, A.; Capaccioli, S.
- Nanotechnology, Vol. 31, Issue 7
Higher-eigenmode piezoresponse force microscopy: a path towards increased sensitivity and the elimination of electrostatic artifacts
journal, March 2018
- MacDonald, Gordon A.; DelRio, Frank W.; Killgore, Jason P.
- Nano Futures, Vol. 2, Issue 1
Materials science in the artificial intelligence age: high-throughput library generation, machine learning, and a pathway from correlations to the underpinning physics
journal, July 2019
- Vasudevan, Rama K.; Choudhary, Kamal; Mehta, Apurva
- MRS Communications, Vol. 9, Issue 3
Nanoscale spatial mapping of mechanical properties through dynamic atomic force microscopy
journal, January 2019
- Abooalizadeh, Zahra; Sudak, Leszek Josef; Egberts, Philip
- Beilstein Journal of Nanotechnology, Vol. 10
Correlative electrochemical strain and scanning electron microscopy for local characterization of the solid state electrolyte Li 1.3 Al 0.3 Ti 1.7 (PO 4 ) 3
journal, January 2018
- Schön, Nino; Gunduz, Deniz Cihan; Yu, Shicheng
- Beilstein Journal of Nanotechnology, Vol. 9
Correlative electrochemical strain and scanning electron microscopy for local characterization of the solid state electrolyte Li1.3Al0.3Ti1.7(PO4)3
text, January 2018
- Schön, Nino Philippe; Gunduz, Deniz Cihan; Yu, Shicheng
- RWTH Aachen University
Ferroelectric or non-ferroelectric: why so many materials exhibit ferroelectricity on the nanoscale
preprint, January 2017
- Vasudevan, Rama K.; Balke, Nina; Maksymovych, Peter
- arXiv
Piezoresponse force microscopy and nanoferroic phenomena
journal, April 2019
- Gruverman, Alexei; Alexe, Marin; Meier, Dennis
- Nature Communications, Vol. 10, Issue 1
Electrostatic-free piezoresponse force microscopy
journal, January 2017
- Kim, Sungho; Seol, Daehee; Lu, Xiaoli
- Scientific Reports, Vol. 7, Issue 1
Nanoscale spatial mapping of mechanical properties through dynamic atomic force microscopy
journal, January 2019
- Abooalizadeh, Zahra; Sudak, Leszek Josef; Egberts, Philip
- Beilstein Journal of Nanotechnology, Vol. 10