Skip to main content
Post Reopened by Qmechanic
Post Undeleted by Qmechanic
Post Deleted by Invenietis
Post Undeleted by Qmechanic
Post Deleted by Invenietis
deleted 178 characters in body; edited title
Source Link
Invenietis
  • 994
  • 9
  • 30

Why do Pauli exclusion principle: why does it imply that $Z\approx N$ in stable nuclides tend to have $N\approx Z$ forwith $A<40$ and $N>Z$ for $A>40$?

I have read that when representing the possible nuclides in the $(Z,N)$ plot, the stable nuclei located on the line $N=Z$ for $A<40$, whereas they are located on the line $N=1.56Z$ for $A>40$.

Table of nuclides

I understandand that the tendency to present a greater number of neutrons than protons for $A>40$this is due to the fact that they provide strong nuclear force with which they compensate the Coulomb repulsion of the protonsPauli exclusion principle. However, 

I have read that the tendency to present $Z=N$ forabout it in $A<40$ is due to the Pauli exclusion principlethis question, whichbut this is still not entirely clear to me. How: why does this principle affect the ratioPauli exclusion principle imply that nuclides with an unequal proportion of neutrons to protons in the nuclidesand neutrons are unstable?

Why do stable nuclides tend to have $N\approx Z$ for $A<40$ and $N>Z$ for $A>40$?

I have read that when representing the possible nuclides in the $(Z,N)$ plot, the stable nuclei located on the line $N=Z$ for $A<40$, whereas they are located on the line $N=1.56Z$ for $A>40$.

Table of nuclides

I understand that the tendency to present a greater number of neutrons than protons for $A>40$ is due to the fact that they provide strong nuclear force with which they compensate the Coulomb repulsion of the protons. However, I have read that the tendency to present $Z=N$ for $A<40$ is due to the Pauli exclusion principle, which is not clear to me. How does this principle affect the ratio of neutrons to protons in the nuclides?

Pauli exclusion principle: why does it imply that $Z\approx N$ in stable nuclides with $A<40$?

I have read that when representing the possible nuclides in the $(Z,N)$ plot, the stable nuclei located on the line $N=Z$ for $A<40$, and that this is due to the Pauli exclusion principle. 

I have read about it in this question, but this is still not entirely clear to me: why does the Pauli exclusion principle imply that nuclides with an unequal proportion of protons and neutrons are unstable?

edited tags
Link
Qmechanic
  • 212.7k
  • 48
  • 589
  • 2.3k
Post Closed as "Duplicate" by Qmechanic
edited tags; edited tags
Link
Qmechanic
  • 212.7k
  • 48
  • 589
  • 2.3k
Source Link
Invenietis
  • 994
  • 9
  • 30
Loading