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Homework Statement
(a) What shows the existence of shell structure? What are the other numbers?
(b) Deduce the spin and parities.
Homework Equations
The Attempt at a Solution
The shell model is given by:
So for Li, 3 protons pair up with 3 neutrons, leaving an unpaired neutron in ##1p_{\frac{3}{2}}##. Thus S = 3/2. It's parity is odd.
For Oxygen, 8 protons pair up with 8 neutrons, leaving the unpaired neutron at ##1d_{\frac{5}{2}}##. Thus S = 5/2. Parity is odd.
For Neon, 10 protons pair up with 10 neutrons. it's even-even. Parity is even.
For Aluminium, 13 protons pair up with 13 neutrons, leaving the unpaired neutron is in ##1d_{\frac{5}{2}}##. Thus S = 5/2. Parity is odd.
For Nitrogen, 7 protons pair up with 7 neutrons. No unpaired?
For Potassium, 19 protons pair up with 19 neutrons, leaving unpaired neutron at ##1d_{\frac{3}{2}}##.
For Scandium, 20 protons pair up with 20 neutrons, leaving unpaired proton at ##1f_{\frac{7}{2}}##.