deletions | additions       diff --git a/In_order_to_measure_transition__.tex b/In_order_to_measure_transition__.tex  index a052e1f..91d7b1a 100644  --- a/In_order_to_measure_transition__.tex  +++ b/In_order_to_measure_transition__.tex 
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We next analyze our time dependent data to determine how linear our laser frequency scan is. To do this, we compare the time difference between any two hyperfine peaks and compare that to experimentally measured frequency differences. The experimental data is taken from reference , which measured the frequency difference between hyperfine peaks to kHz precision. If our frequency scan was linear in time, the ration between any two hyperfine peaks in time should equal the actual frequency ratio. If the ratios are equal, we can use this calibration to plot our hyperfine data vs frequency.  In order to measure transition frequency, we must first convert oscilloscope time to a frequency. We can do this by plotting a graph of $\frac{\delta t}{\delta \omega}$ versus ratio number (Figure 12). Since we expect the width of the peaks on the transmission graph to be the same,   \begin{equation}\label{eq3}  \frac{t_{2}-t_{1}}{\omega_{2}-\omega_{1}}=\frac{t_{3}-t_{2}}{\omega_{3}-\omega_{2}}=\cdots