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Material Type: Lab; Class: Elastic Waves; Subject: Physics; University: University of Illinois - Urbana-Champaign; Term: Unknown 1989;
Typology: Lab Reports
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Answer the following questions for your lab writeup (this is in lieu of the questions in the original lab handouts).
The time-consuming part of the data analysis has already been done. The figure below demonstrates how this works. The measured intensity vs time for a single q-dot is shown by the fluctuating data points. You see repeated transitions from a high intensity to a low intensity and back. The high intensity corresponds to a bright state when the q-dot is emitting photons. The low intensity corresponds to a dark state when the q-dot does not emit photons (the non-zero value is due to background).
Analysis of the time trace proceeds as follows. First, a threshold value of the intensity is selected for each trace. This is shown by the dotted, horizontal line in the figure. For intensities greater than this, the q-dot is considered on (bright) and for intensities below the threshold, it is considered off (dark). The intensity data is then digitized to values of 0 and 1 based on this criteria. This is shown by the thick black lines above and below the time trace. Finally, to determine the lifetimes, the average values of the on-time and off-time for each trace are calculated. This is analogous to determining the average length of the black lines at 1.0 to get τon and the black lines at 0.0 to get τoff.
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Measured Intensity Digitized Data
threshold value
(bright)
(dark)
The analysis was done for a series of time traces at each power (low, medium, and high). You will find the results tabulated in the MS-Excel files TauPlots##.xls within each data set. The value of τon represents the average time spent in the bright state and τoff the average time in the dark state. The data files ##tr ###.dat contain the intensity vs time data. They are listed in 3 columns – the first column is the time in seconds, the second column is the q-dot intensity, and the third column is the background intensity (you only need the first two columns).
Include the following items in your report for this experiment:
For each lab section, data for each dye has been posted. You are responsible for analyzing data for all three dyes (fluorescein, Cy5, and Q-Dot 655). You can download the data as ascii files for the lab section you attended.
A. Fluorescein and Cy5.
Using the intensity values that you downloaded, fit the data to the equation given in the write-up. While you can use the approach given in the writeup, it may be easier to fit to the exponential form with fd and τpb, the start time to and initial intensity Iof as adjustable parameters for the fit.
− = − − − d pb
o f f d f
t t I B I B f
( ) (^0 )( 1 ) exp
Here B is the background intensity (without the fluorophore ) and is provided in the header of the ascii files. Some groups did not provide a background measurement – in that case, also make it a fit parameter.