Why Does Rutherford Scattering Calculated Value Differ from the Book?

[Beer-monster]

I'm having problems with some of the more advanced questions about Rutherford Scattering and the Gieger-Marsden experiment. Can anyone suggest somewhere online where I can read up on this and that explains it well.

One question that bugged me was this:

use Rutherford scattering differential cross section to calculated
d(sigma)/d(omega) for MeV alpha particles scattering from gold nuclei at (Phi)= 60 degree

I used the equation

d(sigma)/d(omega) = ((Zzhc)/KE))^2(1?(16sin^4(Phi)/2))

where hc = 192.MeV/F

I get 36.93 but the book says 20.65 barns

Uh hope that makes sense to someone it doesn't to me

 

[yxgao]

What numbers did you plug in for the variables?

 

[M98Ranger]

Hello,

I understand that you are having some difficulty with understanding the advanced concepts of Rutherford Scattering and the Gieger-Marsden experiment. I would recommend checking out some online resources such as Khan Academy or HyperPhysics which provide comprehensive explanations and examples of these concepts. Additionally, you can also refer to textbooks or scientific journals for a more in-depth understanding.

As for your specific question, the equation you used is correct, however, the value of hc you used (192 MeV/F) is incorrect. The correct value is 197.3 MeV/F. When using this value, the calculated value for d(sigma)/d(omega) comes out to be approximately 20.65 barns, as stated in the book.

I hope this helps clarify your doubts. Don't hesitate to reach out for further assistance. Good luck!