- #1
maximus123
- 50
- 0
Hello everyone
I have been supplied with this eqn
[tex]n=\frac{Nat}{16r^2}(\frac{2Ze^2}{4\pi\epsilon_0E_K})^2cosec^4(\frac{\phi}{2})[/tex]
for Rutherford scattering.
[tex]N[/tex] is the number of alpha particles incident on a unit area of foil
[tex]t[/tex] is the thickness of the foil
[tex]a[/tex] is the number of atoms per unit volume within the foil
[tex]r[/tex] is the distance of the detector away from the collision
[tex]Z[/tex] is obviously the atomic number of the foil's material
and [tex]E_k[/tex] is the kinetic energy of the incident alpha particles
I need to use python to plot a graph of number of counts 'n' versus the scattering angle phi. To do this I need to create a GUI with entry fields for some of the above variables. This bit is not the problem.
The problem is so far I cannot get the eqn to give a useful plot.These figures are not based on an actual experiment which I have had to carry out. These are all theoretical values for the purpose of the computer program.
Could anyone suggest reasonable values for the above variables. Z is not necessary as I'm using 79 (gold). For example I've no idea how many atoms per unit volume there would be in a sheet of foil prepared for one of these experiments. Then if these reasonable values don't plot well either I will know that it is my code that needs looking at (which I'm sure is fine at the mo).
Any help would be greatly...greatly appreciated.
I have been supplied with this eqn
[tex]n=\frac{Nat}{16r^2}(\frac{2Ze^2}{4\pi\epsilon_0E_K})^2cosec^4(\frac{\phi}{2})[/tex]
for Rutherford scattering.
[tex]N[/tex] is the number of alpha particles incident on a unit area of foil
[tex]t[/tex] is the thickness of the foil
[tex]a[/tex] is the number of atoms per unit volume within the foil
[tex]r[/tex] is the distance of the detector away from the collision
[tex]Z[/tex] is obviously the atomic number of the foil's material
and [tex]E_k[/tex] is the kinetic energy of the incident alpha particles
I need to use python to plot a graph of number of counts 'n' versus the scattering angle phi. To do this I need to create a GUI with entry fields for some of the above variables. This bit is not the problem.
The problem is so far I cannot get the eqn to give a useful plot.These figures are not based on an actual experiment which I have had to carry out. These are all theoretical values for the purpose of the computer program.
Could anyone suggest reasonable values for the above variables. Z is not necessary as I'm using 79 (gold). For example I've no idea how many atoms per unit volume there would be in a sheet of foil prepared for one of these experiments. Then if these reasonable values don't plot well either I will know that it is my code that needs looking at (which I'm sure is fine at the mo).
Any help would be greatly...greatly appreciated.