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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 ===== |