Calibration of AFM Cantilevers J. E. Sader, I. Larson, P. Mulvaney and L. R. White "Method for the calibration of atomic force microscope cantilevers" Review of Scientific Instruments, 66, 3789-3798 (1995) J. E. Sader, J. W. M. Chon and P. Mulvaney "Calibration of rectangular atomic force microscope cantilevers" Review of Scientific Instruments, 70, 3967-3969 (1999) * * Calibration website to implement method for rectangular cantilevers REVIEW - J. E. Sader "Calibration of atomic force microscope cantilevers" Encyclopedia of Surface and Colloid Science, Ed: A. Hubbard, 846-856 (2002) C. P. Green, H. Lioe, J. P. Cleveland, R. Proksch, P. Mulvaney and J. E. Sader "Normal and torsional spring constants of atomic force microscope cantilevers" Review of Scientific Instruments, 75, 1988-1996 (2004) * * Calibration website to implement methods for rectangular cantilevers J. E. Sader, J. Pacifico, C. P. Green and P. Mulvaney "General scaling law for stiffness measurement of small bodies with applications to the atomic torce microscope" Journal of Applied Physics, 97, 124903 (2005) M. J. Higgins, R. Proksch, J. E. Sader, M. Polcik, S. Mc Endoo, J. P. Cleveland and S. P. Jarvis "Noninvasive determination of optical lever sensitivity in atomic force microscopy" Review of Scientific Instruments, 77, 013701 (2006) J. E. Sader, J. Sanelli, B. D. Hughes, J. P. Monty and E. J. Bieske "Distortion in the thermal noise spectrum and quality factor of nanomechanical devices due to finite frequency resolution with applications to the atomic force microscope" Review of Scientific Instruments, 82, 095104 (2011) J. E. Sader, B. D. Hughes, J. A. Sanelli and E. J. Bieske "Effect of multiplicative noise on least-squares parameter estimation with applications to the atomic force microscope" Review of Scientific Instruments, 83, 055106 (2012) J. E. Sader, J. A. Sanelli, B. D. Adamson, J. P. Monty, X. Wei, S. A. Crawford, J. R. Friend, I. Marusic, P. Mulvaney and E. J. Bieske "Spring constant calibration of atomic force microscope cantilevers of arbitrary shape" Review of Scientific Instruments, 83, 103705 (2012) * * iPhone and web apps to implement method for rectangular and non-rectangular cantilevers J. E. Sader, M. Yousefi and J. R. Friend "Uncertainty in least-squares fits to the thermal noise spectra of nanomechanical resonators with applications to the atomic force microscope" Review of Scientific Instruments, 85, 025104 (2014) * * Mathematica® notebook containing exact formulas J. E. Sader and J. R. Friend "Note: Calibration of atomic force microscope cantilevers using only their resonant frequency and quality factor" Review of Scientific Instruments, 85, 116101 (2014) J. E. Sader and J. R. Friend "Note: Improved calibration of atomic force microscope cantilevers using multiple reference cantilevers" Review of Scientific Instruments, 86, 056106 (2015) John E. Sader, Riccardo Borgani, Christopher T. Gibson, David B. Haviland, Michael J. Higgins, Jason I. Kilpatrick, Jianing Lu, Paul Mulvaney, Cameron J. Shearer, Ashley D. Slattery, Per-Anders Thoren, Jim Tran, Heyou Zhang, Hongrui Zhang and Tian Zheng "A virtual instrument to standardise the calibration of atomic force microscope cantilevers" Review of Scientific Instruments, 87 093711 (2016) * * Direct link to Sader Method GCI for all types of cantilevers Comparison of Rectangular and V-shaped Cantilevers J. E. Sader "Susceptibility of atomic force microscope cantilevers to lateral forces" Review of Scientific Instruments, 74, 2438-2443 (2003) J. E. Sader and R. C. Sader "Susceptibility of atomic force microscope cantilevers to lateral forces: experimental verification" Applied Physics Letters, 83, 3195-3197 (2003) Frequency Response of AFM Cantilevers in Fluids J. E. Sader "Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope" Journal of Applied Physics, 84, 64-76 (1998) J. W. M. Chon, P. Mulvaney and J. E. Sader "Experimental validation of theoretical models for the frequency response of atomic force microscope cantilever beams immersed in fluids" Journal of Applied Physics, 87, 3978-3988 (2000) S. Boskovic, J. W. M. Chon, P. Mulvaney and J. E. Sader "Rheological measurements using microcantilevers" Journal of Rheology, 46, 891-899 (2002) C. P. Green and J. E. Sader "Torsional frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope" Journal of Applied Physics, 92, 6262-6274 (2002) C. P. Green and J. E. Sader "Small amplitude oscillations of a thin beam immersed in a viscous fluid near a solid surface" Physics of Fluids, 17, 073102 (2005) C. P. Green and J. E. Sader "Frequency response of cantilever beams immersed in viscous fluids near a solid surface with applications to the atomic force microscope" Journal of Applied Physics, 98, 114913 (2005) C. A. Van Eysden and J. E. Sader "Small amplitude oscillations of a flexible thin blade in a viscous fluid: Exact analytical solution" Physics of Fluids, 18, 123102 (2006) C. A. Van Eysden and J. E. Sader "Resonant frequencies of a rectangular cantilever beam immersed in a fluid" Journal of Applied Physics, 100, 114916 (2006) C. A. Van Eysden and J. E. Sader "Frequency response of cantilever beams immersed in a viscous fluid with applications to the atomic force microscope: Arbitrary mode order" Journal of Applied Physics, 101, 044908 (2007) C. A. Van Eysden and J. E. Sader "Compressible viscous flows generated by oscillating flexible cylinders" Physics of Fluids, 21, 013104 (2009) C. A. Van Eysden and J. E. Sader "Frequency response of cantilever beams immersed in compressible fluids with applications to the atomic force microscope" Journal of Applied Physics, 106, 094904 (2009) T. P. Burg, J. E. Sader and S. R. Manalis "Nonmonotonic energy dissipation in microfluidic resonators" Physical Review Letters, 102, 228103 (2009) J. E. Sader, T. P. Burg and S. R. Manalis "Energy dissipation in microfluidic beam resonators" Journal of Fluid Mechanics, 650, 215-250 (2010) D. R. Brumley, M. Willcox and J. E. Sader "Oscillation of cylinders of rectangular cross section immersed in fluid" Physics of Fluids, 22, 052001 (2010) J. E. Sader, J. Lee and S. R. Manalis "Energy dissipation in microfluidic beam resonators: Dependence on mode number" Journal of Applied Physics, 108, 114507 (2010) J. E. Sader, T. P. Burg, J. Lee and S. R. Manalis "Energy dissipation in microfluidic beam resonators: Effect of Poisson's ratio" Physical Review E, 84, 026304 (2011) FM-AFM force measurements - theoretical foundations J. E. Sader and S. P. Jarvis "Accurate formulas for interaction force and energy in frequency modulation force spectroscopy" Applied Physics Letters, 84, 1801-1803 (2004) * * Mathematica® notebook for implementation of formulas. Updated to Version 11. J. E. Sader and S. P. Jarvis "Interpretation of frequency modulation atomic force spectroscopy in terms of fractional calculus" Physical Review B, 70, 012303 (2004) T. Uchihashi, M. J. Higgins, S. Yasuda, S. P. Jarvis, S. Akita and Y. Nakayama and J. E. Sader "Quantitative force measurements in liquid using frequency modulation atomic force microscopy" Applied Physics Letters, 85, 3575-3577 (2004) J. E. Sader, T. Uchihashi, M. J. Higgins, A. Farrell, Y. Nakayama and S. P. Jarvis "Quantitative force measurements using frequency modulation atomic force microscopy - theoretical foundations" Nanotechnology, 16, S94-S101 (2005) J. E. Sader and S. P. Jarvis "Coupling of conservative and dissipative forces in frequency modulation atomic force microscopy" Physical Review B, 74, 195424 (2006) G. B. Kaggwa, J. I. Kilpatrick, J. E. Sader and S. P. Jarvis "Artifact-free dynamic atomic force microscopy reveals monotonic dissipation for a simple confined liquid" Applied Physics Letters, 93, 011909 (2008) J. E. Sader and Y. Sugimoto "Accurate formula for conversion of tunneling current in dynamic atomic force spectroscopy" Applied Physics Letters, 97, 043502 (2010) * * Mathematica® notebook for implementation of tunneling formula. Updated to Version 11. Static and Dynamic Deflection of AFM Cantilevers J. E. Sader and L. R. White "Theoretical analysis of the static deflection of plates for atomic force microscope applications" Journal of Applied Physics, 74, 1-9 (1993) J. E. Sader "Parallel beam approximation for V-shaped atomic force microscope cantilevers" Review of Scientific Instruments, 66, 4583-4587 (1995) J. E. Sader and C. P. Green "In-plane deformation of cantilever plates with applications to lateral force microscopy" Review of Scientific Instruments, 75, 878-883 (2004) J. R. Looker and J. E. Sader "Flexural resonant frequencies of thin rectangular cantilever plates" ASME Journal of Applied Mechanics, 75, 011007 (2008) S. A. Edwards, W. A. Ducker and J. E. Sader "Influence of atomic force microscope cantilever tilt and induced torque on force measurements" Journal of Applied Physics, 103, 064513 (2008) B, D. Adamson, J. E. Sader and E. J. Bieske "Photoacoustic detection of gases using microcantilevers" Journal of Applied Physics, 106, 114510 (2009) L. G. Villanueva, R. B. Karabalin, M. H. Matheny, D. Chi, J. E. Sader and M. L. Roukes "Nonlinearity in nanomechanical cantilevers" Physical Review B, 87, 024304 (2013) J. E. Sader, J. Lu and P. Mulvaney "Effect of cantilever geometry on the optical lever sensitivities and thermal noise method of the atomic force microscope" Review of Scientific Instruments, 85, 113702 (2014) Surface Stress Effects on AFM Cantilevers J. E. Sader "Surface stress induced deflections of cantilever plates with applications to the atomic force microscope: rectangular plates" Journal of Applied Physics, 89, 2911-2921 (2001) J. E. Sader "Surface stress induced deflections of cantilever plates with applications to the atomic force microscope: V-shaped plates" Journal of Applied Physics, 91, 9354-9361 (2002) M. J. Lachut and J. E. Sader "Effect of surface stress on the stiffness of cantilever plates" Physical Review Letters, 99, 206102 (2007) M. J. Lachut and J. E. Sader "Effect of surface stress on the stiffness of cantilever plates: Influence of cantilever geometry" Applied Physics Letters, 95, 193505 (2009) M. J. Lachut and J. E. Sader "Effect of surface stress on the stiffness of thin elastic plates and beams" Physical Review B, 85, 085440 (2012) R. B. Karabalin, L. G. Villanueva, M. H. Matheny, J. E. Sader and M. L. Roukes "Stress-induced variations in the stiffness of micro- and nanocantilever beams" Physical Review Letters, 108, 236101 (2012) M. J. Lachut and J. E. Sader "Buckling of a cantilever plate uniformly loaded in its plane with applications to surface stress and thermal loads" Journal of Applied Physics, 113, 024501 (2013)
Created: 18 September 2003 Last modified: 19 July 2017 Authorised by: Head, School of Mathematics and Statistics.
Atomic Force Microscope Cantilevers
