- #1
mitch_1211
- 99
- 1
So I think, as a rule of thumb that for fission to be possible [itex]\frac{Z^2}{A}[/itex][itex]\geq[/itex]47
I want to be able to derive this relationship though..
If a nucleus deforms into an ellipsoid, its surface area can be described by
4[itex]\pi[/itex]R2(1+[itex]\frac{2}{5}[/itex][itex]\epsilon^2[/itex] + ...) call this X
And its Coulomb energy can be described as
[itex]\frac{3Z^2}{20\pi\epsilon_0R}[/itex](1-[itex]\frac{1}{5}[/itex][itex]\epsilon^2[/itex] + ...) call this Y
And so ΔBE = X-Y
For fission to occur set ΔBE ≤ 0
Once I've done all this I'm not sure how to get ΔBE in terms of A and Z only. I know R = r0A1/3
thanks
I want to be able to derive this relationship though..
If a nucleus deforms into an ellipsoid, its surface area can be described by
4[itex]\pi[/itex]R2(1+[itex]\frac{2}{5}[/itex][itex]\epsilon^2[/itex] + ...) call this X
And its Coulomb energy can be described as
[itex]\frac{3Z^2}{20\pi\epsilon_0R}[/itex](1-[itex]\frac{1}{5}[/itex][itex]\epsilon^2[/itex] + ...) call this Y
And so ΔBE = X-Y
For fission to occur set ΔBE ≤ 0
Once I've done all this I'm not sure how to get ΔBE in terms of A and Z only. I know R = r0A1/3
thanks