Rutherford Scattering of an Alpha Particle

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SUMMARY

The discussion centers on the Rutherford scattering of an alpha particle, specifically addressing the calculation of the minimum distance of approach, denoted as rmin, and the atomic number z1. It is established that rmin is the sum of the radii of the alpha particle (helium nucleus) and the target nucleus, which in this case is iron (Fe) with an atomic number z2 of 26. The value of z1 for the alpha particle is confirmed to be 2.

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ChrisWM
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Homework Statement
What kinetic energy does an a-particle have to have in order to just come into contact with the surface of an iron nucleus in a head on collision in a scattering experiment? (You may assume the iron is fixed and remains at rest during the interaction.) For the radius of the a-particle use ra = 2.60 fm and for the iron nucleus use rFe = 4.59 fm.
Relevant Equations
k=(z1e)(z2e)/(4pi*(eo)(rmin))
I have the equation but I am unsure of what my r min would be. Is it the sum of the radii or the difference? I am also confused on what z1 would be. I am fairly sure z2 is the atomic number of Fe(26) but I am unsure of this as well.
Edit: I just read that z1 could be 2, is this correct?
 
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## r_{min} ## would be the sum of the radii, because in the potential energy formula, ## r_{min} ## is the distance between the centers of the two charged nuclei. (The alpha particle is a helium nucleus, and yes ## z_1=2 ##).
 
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Charles Link said:
## r_{min} ## would be the sum of the radii, because in the potential energy formula, ## r_{min} ## is the distance between the centers of the two charged nuclei. (The alpha particle is a helium nucleus, and yes ## z_1=2 ##).
Thank you so much!
 
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