SEMF Liquid Drop Model Homework: Struggling with (ii)

  • Thread starter Thread starter Lengalicious
  • Start date Start date
  • Tags Tags
    Drop Liquid Model
Click For Summary
SUMMARY

The discussion focuses on the SEMF (Semi-Empirical Mass Formula) Liquid Drop Model, specifically addressing the calculation of the difference B(ε) - B(0) under the assumption that z >> 1 and z²/A > 47. The user concludes that B(ε) - B(0) > 0.048ε²A²/3 but struggles to connect this result to the spontaneous fission of nuclei. The assumption that R is proportional to A¹/³ remains unutilized, indicating a gap in the application of the model to determine fission likelihood.

PREREQUISITES
  • Understanding of the Semi-Empirical Mass Formula (SEMF)
  • Familiarity with nuclear physics concepts such as nuclear binding energy
  • Knowledge of the relationship between nuclear radius and mass number (R ∝ A¹/³)
  • Basic proficiency in algebraic manipulation of equations
NEXT STEPS
  • Explore the implications of the SEMF on nuclear stability and fission
  • Study the derivation and applications of the Liquid Drop Model in nuclear physics
  • Investigate the conditions for spontaneous fission in heavy nuclei
  • Learn about the significance of the parameters z and A in nuclear reactions
USEFUL FOR

Students and researchers in nuclear physics, particularly those studying nuclear stability, fission processes, and the application of the Liquid Drop Model in theoretical calculations.

Lengalicious
Messages
162
Reaction score
0

Homework Statement



See attachment.
Only struggling with (ii).

Homework Equations


The Attempt at a Solution



So ultimately after doing everything, calculating B(ε)-B(0) & assuming z>>1 and z2/A > 47

I find that B(ε)-B(0) > 0.048ε2A2/3

I don't really see how this tells me if the nuclei will spontaneously fission or not, I still haven't used the assumption R is proportional to A1/3 though.

Any help please?
 

Attachments

  • 3.png
    3.png
    22 KB · Views: 438
Physics news on Phys.org
Bump!
 

Similar threads

  • · Replies 0 ·
Replies
0
Views
1K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 32 ·
2
Replies
32
Views
6K
  • · Replies 11 ·
Replies
11
Views
10K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 10 ·
Replies
10
Views
8K
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
7
Views
2K