High School Nuclear Binding Energy: Is my understanding correct?

Click For Summary
SUMMARY

The discussion clarifies that nuclear binding energy is defined as the energy of the strong force minus the disruptive energy from the Coulomb force. It highlights that binding energy per nucleon increases rapidly for light nuclei, peaks at iron and nickel, and then gradually decreases for heavier nuclei like copper. The analysis emphasizes that even for the heaviest nuclei, binding energy remains a positive value, and it categorizes nuclei smaller than iron as 'light elements' and those larger as 'heavy elements'. The helium-4 nucleus is noted for its significant binding energy, often treated as an alpha particle in nuclear physics.

PREREQUISITES
  • Understanding of nuclear physics concepts, specifically nuclear forces
  • Familiarity with the Coulomb force and its effects on atomic structure
  • Knowledge of binding energy and its significance in nuclear reactions
  • Basic comprehension of atomic numbers and their relation to element classification
NEXT STEPS
  • Study the concept of nuclear fusion and its relation to binding energy
  • Explore the role of the strong nuclear force in atomic stability
  • Investigate the binding energy curve and its implications for nuclear reactions
  • Learn about the properties and applications of alpha particles in nuclear physics
USEFUL FOR

Students and professionals in nuclear physics, physicists studying nuclear reactions, and educators teaching concepts related to atomic structure and binding energy.

A M
Messages
83
Reaction score
16
TL;DR
I want to write a student article specially for those who don't have a background in nuclear physics. I've been suggested to share my basic understanding & ask if they're correct.
I would be grateful if anyone could explain where my mistakes are:
(Please note that diagrams are designed just to give a simple imagination of the article & make it more understandable; they do NOT correspond precise information.)
The binding energy of a nucleus is the energy of the strong force, minus the disruptive energy due to the Coulomb force. Thus, to illustrate the curve of binding energy per nucleon, we can combine both of the diagrams above:


https://www.physicsforums.com/attachments/3-jpg.248607/
https://www.physicsforums.com/attachments/4-png.248606/

Analyzing this diagram is very important for studying nuclear reactions. Here is some fundamental information:

For the lightest nuclei, binding energy per nucleon grows rapidly; because the attractive strong force grows noticeably due to the small size of nuclei, but the repelling Coulomb force is much less due to small atomic number.

As nuclei get heavier, the strong force starts to face a nuclear size limit, but the electrostatic force is growing as slowly as before. So their binding energy per nucleon grows more and more slowly; reaching its peak at iron and nickel.

By the time copper (Z=29) is reached, this disruptive effect becomes steadily more significant, and the attractive force also increases, but at a slower rate. Thus nuclear binding energy per nucleon starts to decrease slowly.

Finally, for the heaviest nuclei, the electric repulsion becomes noticeably high, while the strong nuclear force per nucleon almost hasn't changed. So the binding energy per nucleon falls at its rapidest rate. But note that even for the heaviest nuclei, binding energy is ALWAYS a positive number.
In general, nuclei smaller than iron are called 'light elements', and larger ones are called 'heavy elements'.

According to the right diagram, helium-4 nucleus is so tightly bound (in proportion to its small size) that it is commonly treated as a single quantum mechanical particle in nuclear physics, namely, the alpha (α) particle.

References:
https://en.wikipedia.org/wiki/Nuclear_binding_energyhttps://en.wikipedia.org/wiki/Nuclear_fusion
 
Last edited by a moderator:
Physics news on Phys.org

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 28 ·
Replies
28
Views
3K
  • · Replies 14 ·
Replies
14
Views
4K
Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
10K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 44 ·
2
Replies
44
Views
5K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K