- #1
Taylor_1989
- 402
- 14
Homework Statement
Question: Discuss what values of Z and N might give stabilty to a nucleus with A=22
Homework Equations
$$BE=a_vA-a_sA^{\frac{2}{3}}-a_c\:\frac{Z\left(Z-1\right)}{A^{\frac{1}{3}}}-a_s\frac{\:\left(A-2N\right)^2}{A}+\delta \left(A,Z\right)$$
The Attempt at a Solution
For this question I am going to assume I know nothing of periodic table or anything of that nature and just go with the two model of the nucleus the liquid drop and shell model.
So my first combination is this
Z=10 and N=12
There are two reason for this:
1. By the paring term an even number of nucleons will increasing the B.E of the nucleus
2. With a high number of nutron to protons the the nuclear force is greater than the Colombo force which gives stability
My second combination is
Z=8 and N=14
This is because 8 is a magic number and will increase stability in the nucleus, as show from experiment.
Have I missed anything?