Mathematica/Graphing Question for Muon Lifetime Laboratory

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SUMMARY

This discussion focuses on constructing a histogram and analyzing muon lifetime data using Mathematica. The user seeks guidance on creating a scaled histogram from a .txt file containing 500 events, each corresponding to specific time bins of 20 ns. Additionally, they require assistance in fitting an exponential decay equation of the form y=A*EXP[-Bx] +C and generating a log plot to determine the muon lifetime. The conversation emphasizes the need for coding support in Mathematica for these tasks.

PREREQUISITES
  • Familiarity with Mathematica version 12.0 or later
  • Understanding of histogram construction and data visualization
  • Knowledge of exponential decay functions and curve fitting
  • Basic skills in data manipulation and file handling in Mathematica
NEXT STEPS
  • Research how to import and manipulate .txt files in Mathematica
  • Learn about the Histogram function in Mathematica for visualizing data
  • Explore the Fit function in Mathematica for curve fitting exponential decay equations
  • Study the LogLogPlot function in Mathematica for creating log plots
USEFUL FOR

This discussion is beneficial for physicists, data analysts, and students involved in experimental physics, particularly those working with muon lifetime measurements and data analysis in Mathematica.

krishnas
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Hi all, I'm trying to construct a histogram from my data to illustrate evidence of muon lifetime. Attached is a .txt file that contains counts from our detector that correspond to different bin sizes (lengths of time muons were counted in detector) from our experiment. The file is 1x500 (containing a vertical list of 500 events)

Each bin size is 20 ns. For example, the first entry corresponds to 0-20ns bin, the second 20-40ns, the third 40-60ns and so on.

Given this information, how would I do the following in mathematica?
1. constuct a scaled histogram of the events
2. Best fit an equation for exponential decay of the form y=A*EXP[-Bx] +C
3. create a log plot of the data giving a linear line and slope (giving muon lifetime).

I'm at a loss how to code for this, I know the reasoning behind everything but this seems like the easiest way to go about it(mathematica) and I am not well versed. Anyone have any insight??
 

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Anyone with knowledge of mathmematica that can help?
 

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