From: W. Trevor King <wking@tremily.us>
Date: Wed, 1 May 2013 23:20:11 +0000 (-0400)
Subject: apparatus/cantilever-calib.tex: Summarize the experiment procedure
X-Git-Tag: v1.0~271
X-Git-Url: http://git.tremily.us/?a=commitdiff_plain;h=50e32f625aafe579ece48c1218d79d3961f3e0d4;p=thesis.git

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.
---

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.