Bibliography

1

J. Hutter and J. Bechhoefer. Calibration of atomic-force microscope tips. Rev. Sci. Instrum. 64, 3342 (1993).

2

H. Butt and M. Jaschke. Calculation of thermal noise in atomic force microscopy. Nanotechnology 6, 1-7 (1995).
http://www.iop.org/EJ/abstract/0957-4484/6/1/001/

3

A. Roters and D. Johannsmann. Distance-dependent noise measurements in scanning force microscopy. J. Phys. Condens. Matter 8, 7561-7577 (1996).

4

Eric W. Weisstein. Lorentzian Function. MathWorld-A Wolfram Web Resource. http://mathworld.wolfram.com/LorentzianFunction.html

5

R. L'evy and M. Maaloum. Measuring the spring constant of atomic force microscope cantilevers: thermal fluctuations and other methods. Nanotechnology 13 33-37 (2002).
http://stacks.iop.org/Nano/13/33/

6

R. L'evy and M. Maaloum. Measuring the spring constant of atomic force microscope cantilevers: thermal fluctuations and other methods. Nanotechnology 13 33-37 (2002).
http://stacks.iop.org/Nano/13/33/

7

B. Ohler. Cantilever spring constant calibration using laser Doppler vibrometry. Rev. Sci. Instrum. 78 063701 (2007).
http://link.aip.org/link/?RSI/78/063701

8

R. Stark, T. Drobek, and W. Heckl. Thermomechanical noise of a free v-shaped cantilever for atomic-force microscopy. Ultramicroscopy 86 207-215 (2001).

9

J. Hutter. Comment on Tilt of Atomic Force Microscope Cantilevers: Effect on Spring Constant and Adhesion Measurements. Langmuir 21 2630 (2005).

10

S. Thornton and J. Marion. Classical Dynamics of Particles and Systems. 5 $^{\mathrm{th}}$Edition, Brooks/Cole, 2004.
See Eq. D.16 on page 609.

11

Hmm, it is suprisingly difficult to find an `official' reference for this. I obviously need to get a spectral analysis book :p. See Wikipedia's currently excellent page (Feb 15th, 2008)
http://en.wikipedia.org/wiki/Fourier_transform#Functional_relationships ,
or derive it for yourself in about three lines :p.

12

W. Press, S. Teukolsky, W. Vetterling, and B. Flannery. Numerical Recipies in C: The Art of Scientific Computing. 2 $^{\mathrm{nd}}$Edition, Cambridge University Press, 1992.
http://www.nrbook.com/a/bookcpdf.php
See Eq. 12.0.13 on page 498.

13

Press et al. See Eq. 12.0.14 on page 498.

14

Press et al. See Eq. 12.0.12 on page 498.

15

Wikipedia. Wiener-Khinchin theorem.
http://en.wikipedia.org/wiki/Wiener%E2%80%93Khinchin_theorem

16

C. Grossman and A. Stout. Optical Tweezers Advanced Lab Fall 2005. See section 4.3. http://chirality.swarthmore.edu/PHYS81/OpticalTweezers.pdf

http://nlolab.swarthmore.edu/webstuff/Phys81_82/OpticalTweezersLabTheory.pdf

Download cantilever_calib.pdf
View the source files or my .latex2html-init configuration file

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Drexel Physics