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phy252:scatteringangles [2018/04/18 14:27]
mdawber [Measurement]
phy252:scatteringangles [2018/11/14 14:24] (current)
mdawber [Details of Procedure]
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 As you are measuring 4 times in each 0.1cm increment of $b$, $\frac{dN}{db}=\frac{4}{0.1\mathrm{cm}}=40 \,​\mathrm{events\,​.cm^{-1}}$,​ if you were to measure a different number of times for each turn you would modify $\frac{dN}{db}$ accordingly. In an actual scattering experiment, the probe particle beam has randomly spaced particles, so that $b$ is sampled randomly, but our procedure here in which $b$ is continuosly varied by you turning the handle is more efficient than doing thousands of measurements at random values of $b$, a source of additional random noise.  ​ As you are measuring 4 times in each 0.1cm increment of $b$, $\frac{dN}{db}=\frac{4}{0.1\mathrm{cm}}=40 \,​\mathrm{events\,​.cm^{-1}}$,​ if you were to measure a different number of times for each turn you would modify $\frac{dN}{db}$ accordingly. In an actual scattering experiment, the probe particle beam has randomly spaced particles, so that $b$ is sampled randomly, but our procedure here in which $b$ is continuosly varied by you turning the handle is more efficient than doing thousands of measurements at random values of $b$, a source of additional random noise.  ​
  
-By dividing the the number of events $\Delta N$ by the angular interval $\Delta\phi$,​ we obtain the ratio $\frac{\Delta N}{\Delta \phi}$, which is our approximation to $\frac{dN}{d\phi}$. When $\frac{dN}{d\phi}$ is divided by the flux $\frac{dN}{db}$,​ you get the scattering cross-section $\frac{d\sigma}{d\phi}$,​ which you may plot versus scattering angle $\phi$. You should do this experiment three times, for each of three different plexiglass cylinders.+By dividing the the number of events $\Delta N$ by the angular interval $\Delta\phi$,​ we obtain the ratio $\frac{\Delta N}{\Delta \phi}$, which is our approximation to $\frac{dN}{d\phi}$. When $\frac{dN}{d\phi}$ is divided by the flux $\frac{dN}{db}$,​ you get the scattering cross-section $\frac{d\sigma}{d\phi}$,​ which you may plot versus scattering angle $\phi$. You should do this experiment three times, ​once for each of three different plexiglass cylinders.
  
 ===== Analysis ===== ===== Analysis =====
 
phy252/scatteringangles.txt ยท Last modified: 2018/11/14 14:24 by mdawber