From 50e32f625aafe579ece48c1218d79d3961f3e0d4 Mon Sep 17 00:00:00 2001 From: "W. Trevor King" Date: Wed, 1 May 2013 19:20:11 -0400 Subject: [PATCH] apparatus/cantilever-calib.tex: Summarize the experiment procedure Folks might find the raw equation unenlightening. Hopefully a few words about the procedure will help this teaser sink in so they're ready for the calibcant chapter. --- src/apparatus/cantilever-calib.tex | 9 ++++++++- 1 file changed, 8 insertions(+), 1 deletion(-) diff --git a/src/apparatus/cantilever-calib.tex b/src/apparatus/cantilever-calib.tex index 68143b5..37a0b04 100644 --- a/src/apparatus/cantilever-calib.tex +++ b/src/apparatus/cantilever-calib.tex @@ -68,6 +68,13 @@ have \kappa &= \frac{\sigma_p^2 k_BT}{\avg{V_p(t)^2}} = \frac{2 \beta_f f_0^2 \sigma_p^2 k_BT}{\pi G_{1f}} \;. \end{align} +A calibration run consists of bumping the surface with the cantilever +tip to measure $\sigma_p$, measuring the buffer temperature $T$ with a +thermocouple, and measuring thermal vibration when the tip is far from +the surface to extract the fit parameters $G_{1f}$, $f_0$, and +$\beta_f$. For a complete derivation of the procedure presented in this section, -see \cref{sec:cantilever-calib}. +see \cref{sec:calibcant:theory}. The rest of \cref{sec:calibcant} +describes my open source implementation for the automatic calibration +procedure. -- 2.26.2