Nanoscale effects in the characterization of viscoelastic materials with atomic force microscopy: Coupling of a quasi-three-dimensional standard linear solid model with in-plane surface interactions
Abstract
Significant progress has been accomplished in the development of experimental contact-mode and dynamic-mode atomic force microscopy (AFM) methods designed to measure surface material properties. However, current methods are based on one-dimensional (1D) descriptions of the tip-sample interaction forces, thus neglecting the intricacies involved in the material behavior of complex samples (such as soft viscoelastic materials) as well as the differences in material response between the surface and the bulk. In order to begin to address this gap, a computational study is presented where the sample is simulated using an enhanced version of a recently introduced model that treats the surface as a collection of standard-linear-solid viscoelastic elements. The enhanced model introduces in-plane surface elastic forces that can be approximately related to a two-dimensional (2D) Young's modulus. Relevant cases are discussed for single-and multifrequency intermittent-contact AFM imaging, with focus on the calculated surface indentation profiles and tip-sample interaction force curves, as well as their implications with regards to experimental interpretation. A variety of phenomena are examined in detail, which highlight the need for further development of more physically accurate sample models that are specifically designed for AFM simulation. As a result, a multifrequency AFM simulation tool based on the above samplemore »
- Authors:
-
- George Washington Univ., Washington, DC (United States)
- Publication Date:
- Research Org.:
- George Washington Univ., Washington, DC (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1262033
- Grant/Contract Number:
- SC0011912
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Beilstein Journal of Nanotechnology
- Additional Journal Information:
- Journal Volume: 7; Journal ID: ISSN 2190-4286
- Publisher:
- Beilstein Institute
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; atomic force microscopy; modeling; polymers; simulation; spectroscopy; standard linear solid; surface elasticity; surface energy; viscoelasticity; SI(111)-7X7
Citation Formats
Solares, Santiago D. Nanoscale effects in the characterization of viscoelastic materials with atomic force microscopy: Coupling of a quasi-three-dimensional standard linear solid model with in-plane surface interactions. United States: N. p., 2016.
Web. doi:10.3762/bjnano.7.49.
Solares, Santiago D. Nanoscale effects in the characterization of viscoelastic materials with atomic force microscopy: Coupling of a quasi-three-dimensional standard linear solid model with in-plane surface interactions. United States. https://doi.org/10.3762/bjnano.7.49
Solares, Santiago D. Fri .
"Nanoscale effects in the characterization of viscoelastic materials with atomic force microscopy: Coupling of a quasi-three-dimensional standard linear solid model with in-plane surface interactions". United States. https://doi.org/10.3762/bjnano.7.49. https://www.osti.gov/servlets/purl/1262033.
@article{osti_1262033,
title = {Nanoscale effects in the characterization of viscoelastic materials with atomic force microscopy: Coupling of a quasi-three-dimensional standard linear solid model with in-plane surface interactions},
author = {Solares, Santiago D.},
abstractNote = {Significant progress has been accomplished in the development of experimental contact-mode and dynamic-mode atomic force microscopy (AFM) methods designed to measure surface material properties. However, current methods are based on one-dimensional (1D) descriptions of the tip-sample interaction forces, thus neglecting the intricacies involved in the material behavior of complex samples (such as soft viscoelastic materials) as well as the differences in material response between the surface and the bulk. In order to begin to address this gap, a computational study is presented where the sample is simulated using an enhanced version of a recently introduced model that treats the surface as a collection of standard-linear-solid viscoelastic elements. The enhanced model introduces in-plane surface elastic forces that can be approximately related to a two-dimensional (2D) Young's modulus. Relevant cases are discussed for single-and multifrequency intermittent-contact AFM imaging, with focus on the calculated surface indentation profiles and tip-sample interaction force curves, as well as their implications with regards to experimental interpretation. A variety of phenomena are examined in detail, which highlight the need for further development of more physically accurate sample models that are specifically designed for AFM simulation. As a result, a multifrequency AFM simulation tool based on the above sample model is provided as supporting information.},
doi = {10.3762/bjnano.7.49},
journal = {Beilstein Journal of Nanotechnology},
number = ,
volume = 7,
place = {United States},
year = {Fri Apr 15 00:00:00 EDT 2016},
month = {Fri Apr 15 00:00:00 EDT 2016}
}
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Works referenced in this record:
Energy dissipation in tapping-mode atomic force microscopy
journal, May 1998
- Cleveland, J. P.; Anczykowski, B.; Schmid, A. E.
- Applied Physics Letters, Vol. 72, Issue 20
Vibrations of free and surface‐coupled atomic force microscope cantilevers: Theory and experiment
journal, September 1996
- Rabe, U.; Janser, K.; Arnold, W.
- Review of Scientific Instruments, Vol. 67, Issue 9
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
Viscoelastic Property Mapping with Contact Resonance Force Microscopy
journal, December 2011
- Killgore, J. P.; Yablon, D. G.; Tsou, A. H.
- Langmuir, Vol. 27, Issue 23
Nanoscale mapping of contact stiffness and damping by contact resonance atomic force microscopy
journal, May 2012
- Stan, Gheorghe; King, Sean W.; Cook, Robert F.
- Nanotechnology, Vol. 23, Issue 21
The band excitation method in scanning probe microscopy for rapid mapping of energy dissipation on the nanoscale
journal, September 2007
- Jesse, Stephen; Kalinin, Sergei V.; Proksch, Roger
- Nanotechnology, Vol. 18, Issue 43
Measurement and interpretation of elastic and viscoelastic properties with the atomic force microscope
journal, November 2007
- Attard, Phil
- Journal of Physics: Condensed Matter, Vol. 19, Issue 47
The emergence of multifrequency force microscopy
journal, April 2012
- Garcia, Ricardo; Herruzo, Elena T.
- Nature Nanotechnology, Vol. 7, Issue 4
Fast nanomechanical spectroscopy of soft matter
journal, January 2014
- Herruzo, Elena T.; Perrino, Alma P.; Garcia, Ricardo
- Nature Communications, Vol. 5, Issue 1
The role of nonlinear dynamics in quantitative atomic force microscopy
journal, June 2012
- Platz, Daniel; Forchheimer, Daniel; Tholén, Erik A.
- Nanotechnology, Vol. 23, Issue 26
Reconstruction of tip-surface interactions with multimodal intermodulation atomic force microscopy
journal, September 2013
- Borysov, Stanislav S.; Platz, Daniel; de Wijn, Astrid S.
- Physical Review B, Vol. 88, Issue 11
Modeling viscoelasticity through spring–dashpot models in intermittent-contact atomic force microscopy
journal, January 2014
- López-Guerra, Enrique A.; Solares, Santiago D.
- Beilstein Journal of Nanotechnology, Vol. 5
Probing viscoelastic surfaces with bimodal tapping-mode atomic force microscopy: Underlying physics and observables for a standard linear solid model
journal, January 2014
- Solares, Santiago D.
- Beilstein Journal of Nanotechnology, Vol. 5
An atomic force microscope tip designed to measure time-varying nanomechanical forces
journal, July 2007
- Sahin, Ozgur; Magonov, Sergei; Su, Chanmin
- Nature Nanotechnology, Vol. 2, Issue 8
Dynamic atomic force microscopy methods
journal, September 2002
- García, R.
- Surface Science Reports, Vol. 47, Issue 6-8
Dynamic mechanical analysis of ethylene-propylene-diene monomer rubber and styrene-butadiene rubber blends
journal, April 2009
- Nair, T. Muraleedharan; Kumaran, M. G.; Unnikrishnan, G.
- Journal of Applied Polymer Science, Vol. 112, Issue 1
Using force modulation to image surface elasticities with the atomic force microscope
journal, April 1991
- Maivald, P.; Butt, H. J.; Gould, S. A. C.
- Nanotechnology, Vol. 2, Issue 2
A simple and efficient quasi 3-dimensional viscoelastic model and software for simulation of tapping-mode atomic force microscopy
journal, January 2015
- Solares, Santiago D.
- Beilstein Journal of Nanotechnology, Vol. 6
Probing of Polymer Surfaces in the Viscoelastic Regime
journal, February 2014
- Chyasnavichyus, Marius; Young, Seth L.; Tsukruk, Vladimir V.
- Langmuir, Vol. 30, Issue 35
Measuring the loss tangent of polymer materials with atomic force microscopy based methods
journal, March 2014
- Yablon, Dalia G.; Grabowski, Jean; Chakraborty, Ishita
- Measurement Science and Technology, Vol. 25, Issue 5
Inverting dynamic force microscopy: From signals to time-resolved interaction forces
journal, June 2002
- Stark, M.; Stark, R. W.; Heckl, W. M.
- Proceedings of the National Academy of Sciences, Vol. 99, Issue 13, p. 8473-8478
Visualizing the Subsurface of Soft Matter: Simultaneous Topographical Imaging, Depth Modulation, and Compositional Mapping with Triple Frequency Atomic Force Microscopy
journal, October 2013
- Ebeling, Daniel; Eslami, Babak; Solares, Santiago De Jesus
- ACS Nano, Vol. 7, Issue 11
Density Functional Theory Study of the Geometry, Energetics, and Reconstruction Process of Si(111) Surfaces
journal, December 2005
- Solares, Santiago D.; Dasgupta, Siddharth; Schultz, Peter A.
- Langmuir, Vol. 21, Issue 26
Structural analysis of Si(111)‐7×7 by UHV‐transmission electron diffraction and microscopy
journal, May 1985
- Takayanagi, K.; Tanishiro, Y.; Takahashi, M.
- Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, Vol. 3, Issue 3
Structure analysis of Si(111)-7 × 7 reconstructed surface by transmission electron diffraction
journal, December 1985
- Takayanagi, Kunio; Tanishiro, Yasumasa; Takahashi, Shigeki
- Surface Science, Vol. 164, Issue 2-3
Nanoscale Interfacial Friction and Adhesion on Supported versus Suspended Monolayer and Multilayer Graphene
journal, December 2012
- Deng, Zhao; Klimov, Nikolai N.; Solares, Santiago D.
- Langmuir, Vol. 29, Issue 1
Multi-frequency tapping-mode atomic force microscopy beyond three eigenmodes in ambient air
journal, January 2014
- Solares, Santiago D.; An, Sangmin; Long, Christian J.
- Beilstein Journal of Nanotechnology, Vol. 5
Compositional mapping of surfaces in atomic force microscopy by excitation of the second normal mode of the microcantilever
journal, January 2004
- Rodrı́guez, Tomás R.; Garcı́a, Ricardo
- Applied Physics Letters, Vol. 84, Issue 3
Invited Article: VEDA: A web-based virtual environment for dynamic atomic force microscopy
journal, June 2008
- Melcher, John; Hu, Shuiqing; Raman, Arvind
- Review of Scientific Instruments, Vol. 79, Issue 6
Dynamic force microscopy simulator (dForce): A tool for planning and understanding tapping and bimodal AFM experiments
journal, January 2015
- Guzman, Horacio V.; Garcia, Pablo D.; Garcia, Ricardo
- Beilstein Journal of Nanotechnology, Vol. 6
Dynamic mechanical analysis of ethylene-propylene-diene monomer rubber and styrene-butadiene rubber blends
journal, April 2009
- Nair, T. Muraleedharan; Kumaran, M. G.; Unnikrishnan, G.
- Journal of Applied Polymer Science, Vol. 112, Issue 1
Structure analysis of Si(111)-7 × 7 reconstructed surface by transmission electron diffraction
journal, December 1985
- Takayanagi, Kunio; Tanishiro, Yasumasa; Takahashi, Shigeki
- Surface Science, Vol. 164, Issue 2-3
Density Functional Theory Study of the Geometry, Energetics, and Reconstruction Process of Si(111) Surfaces
journal, December 2005
- Solares, Santiago D.; Dasgupta, Siddharth; Schultz, Peter A.
- Langmuir, Vol. 21, Issue 26
Viscoelastic Property Mapping with Contact Resonance Force Microscopy
journal, December 2011
- Killgore, J. P.; Yablon, D. G.; Tsou, A. H.
- Langmuir, Vol. 27, Issue 23
Nanoscale Interfacial Friction and Adhesion on Supported versus Suspended Monolayer and Multilayer Graphene
journal, December 2012
- Deng, Zhao; Klimov, Nikolai N.; Solares, Santiago D.
- Langmuir, Vol. 29, Issue 1
Probing of Polymer Surfaces in the Viscoelastic Regime
journal, February 2014
- Chyasnavichyus, Marius; Young, Seth L.; Tsukruk, Vladimir V.
- Langmuir, Vol. 30, Issue 35
Fast nanomechanical spectroscopy of soft matter
journal, January 2014
- Herruzo, Elena T.; Perrino, Alma P.; Garcia, Ricardo
- Nature Communications, Vol. 5, Issue 1
An atomic force microscope tip designed to measure time-varying nanomechanical forces
journal, July 2007
- Sahin, Ozgur; Magonov, Sergei; Su, Chanmin
- Nature Nanotechnology, Vol. 2, Issue 8
The emergence of multifrequency force microscopy
journal, April 2012
- Garcia, Ricardo; Herruzo, Elena T.
- Nature Nanotechnology, Vol. 7, Issue 4
Nanoscale mechanics by tomographic contact resonance atomic force microscopy
journal, January 2014
- Stan, Gheorghe; Solares, Santiago D.; Pittenger, Bede
- Nanoscale, Vol. 6, Issue 2
Vibrations of free and surface‐coupled atomic force microscope cantilevers: Theory and experiment
journal, September 1996
- Rabe, U.; Janser, K.; Arnold, W.
- Review of Scientific Instruments, Vol. 67, Issue 9
Energy dissipation in tapping-mode atomic force microscopy
journal, May 1998
- Cleveland, J. P.; Anczykowski, B.; Schmid, A. E.
- Applied Physics Letters, Vol. 72, Issue 20
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
Inverting dynamic force microscopy: From signals to time-resolved interaction forces
journal, June 2002
- Stark, M.; Stark, R. W.; Heckl, W. M.
- Proceedings of the National Academy of Sciences, Vol. 99, Issue 13, p. 8473-8478
Measurement and interpretation of elastic and viscoelastic properties with the atomic force microscope
journal, November 2007
- Attard, Phil
- Journal of Physics: Condensed Matter, Vol. 19, Issue 47
Measuring the loss tangent of polymer materials with atomic force microscopy based methods
journal, March 2014
- Yablon, Dalia G.; Grabowski, Jean; Chakraborty, Ishita
- Measurement Science and Technology, Vol. 25, Issue 5
The band excitation method in scanning probe microscopy for rapid mapping of energy dissipation on the nanoscale
journal, September 2007
- Jesse, Stephen; Kalinin, Sergei V.; Proksch, Roger
- Nanotechnology, Vol. 18, Issue 43
Using force modulation to image surface elasticities with the atomic force microscope
journal, April 1991
- Maivald, P.; Butt, H. J.; Gould, S. A. C.
- Nanotechnology, Vol. 2, Issue 2
The role of nonlinear dynamics in quantitative atomic force microscopy
journal, June 2012
- Platz, Daniel; Forchheimer, Daniel; Tholén, Erik A.
- Nanotechnology, Vol. 23, Issue 26
Multi-frequency tapping-mode atomic force microscopy beyond three eigenmodes in ambient air
journal, January 2014
- Solares, Santiago D.; An, Sangmin; Long, Christian J.
- Beilstein Journal of Nanotechnology, Vol. 5
Probing viscoelastic surfaces with bimodal tapping-mode atomic force microscopy: Underlying physics and observables for a standard linear solid model
journal, January 2014
- Solares, Santiago D.
- Beilstein Journal of Nanotechnology, Vol. 5
Modeling viscoelasticity through spring–dashpot models in intermittent-contact atomic force microscopy
journal, January 2014
- López-Guerra, Enrique A.; Solares, Santiago D.
- Beilstein Journal of Nanotechnology, Vol. 5
Dynamic force microscopy simulator (dForce): A tool for planning and understanding tapping and bimodal AFM experiments
journal, January 2015
- Guzman, Horacio V.; Garcia, Pablo D.; Garcia, Ricardo
- Beilstein Journal of Nanotechnology, Vol. 6
Works referencing / citing this record:
Calculation of standard viscoelastic responses with multiple retardation times through analysis of static force spectroscopy AFM data
journal, March 2017
- López-Guerra, Enrique A.; Eslami, Babak; Solares, Santiago D.
- Journal of Polymer Science Part B: Polymer Physics, Vol. 55, Issue 10
Transverse viscoelastic properties of pulp fibers investigated with an atomic force microscopy method
journal, May 2019
- Czibula, Caterina; Ganser, Christian; Seidlhofer, Tristan
- Journal of Materials Science, Vol. 54, Issue 17
Theory of Single-Impact Atomic Force Spectroscopy in liquids with material contrast
journal, May 2018
- López-Guerra, Enrique A.; Banfi, Francesco; Solares, Santiago D.
- Scientific Reports, Vol. 8, Issue 1
Combining adhesive contact mechanics with a viscoelastic material model to probe local material properties by AFM
journal, January 2018
- Ganser, Christian; Czibula, Caterina; Tscharnuter, Daniel
- Soft Matter, Vol. 14, Issue 1
Determination of the viscoelastic properties of a single cell cultured on a rigid support by force microscopy
journal, January 2018
- Garcia, Pablo D.; Garcia, Ricardo
- Nanoscale, Vol. 10, Issue 42
Fast, quantitative and high resolution mapping of viscoelastic properties with bimodal AFM
journal, January 2019
- Benaglia, Simone; Amo, Carlos A.; Garcia, Ricardo
- Nanoscale, Vol. 11, Issue 32
High-stress study of bioinspired multifunctional PEDOT:PSS/nanoclay nanocomposites using AFM, SEM and numerical simulation
journal, January 2017
- Diaz, Alfredo J.; Noh, Hanaul; Meier, Tobias
- Beilstein Journal of Nanotechnology, Vol. 8
Material property analytical relations for the case of an AFM probe tapping a viscoelastic surface containing multiple characteristic times
journal, January 2017
- López-Guerra, Enrique A.; Solares, Santiago D.
- Beilstein Journal of Nanotechnology, Vol. 8
Theory of Single-Impact Atomic Force Spectroscopy in liquids with material contrast
journal, May 2018
- López-Guerra, Enrique A.; Banfi, Francesco; Solares, Santiago D.
- Scientific Reports, Vol. 8, Issue 1
Å-Indentation for non-destructive elastic moduli measurements of supported ultra-hard ultra-thin films and nanostructures
journal, March 2019
- Cellini, Filippo; Gao, Yang; Riedo, Elisa
- Scientific Reports, Vol. 9, Issue 1
High-stress study of bioinspired multifunctional PEDOT:PSS/nanoclay nanocomposites using AFM, SEM and numerical simulation
journal, January 2017
- Diaz, Alfredo J.; Noh, Hanaul; Meier, Tobias
- Beilstein Journal of Nanotechnology, Vol. 8
Material property analytical relations for the case of an AFM probe tapping a viscoelastic surface containing multiple characteristic times
journal, January 2017
- López-Guerra, Enrique A.; Solares, Santiago D.
- Beilstein Journal of Nanotechnology, Vol. 8