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 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 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) 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) 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 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) 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) 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)
Created: 18 September 2003 Last modified: 27 March 2008 Authorised by: Head, Department of Mathematics and Statistics.
Atomic Force Microscope Cantilevers
