Verifying Proton Removal from Sn and Sb Nuclei

[kidia]

Hi can anybody help me on this I really need it.

The nuclide Sn has a filled proton shell, 50 being on one of the magic nucleon number. Sb has an extra proton outside this shell to make 51. According to the shell model, extra proton should be easier to remove than a proton from the filled shell. Verify this by calculating the required energy in each case.
Sn mass 121 Atomic Mass (u) 119.902199
Sb mass 120 Atomic Mass (u) 120.903821

Mass of hydrogen atom is 1.007825u.

 

[Astronuc]

This is basically a binding energy calculation.

Correction - Sn mass 120 Atomic Mass (u) 119.902199

Start by writing the equations which show the reaction.

_ZX^A -> ₁H¹ + _Z-1Y^A-1

then calculate the binding energy accordingly.

Useful reference - http://wwwndc.tokai.jaeri.go.jp/CN04/CN012.html

http://wwwndc.tokai.jaeri.go.jp/CN04/index.html

 

[kyle8921]

To verify the removal of a proton from Sn and Sb nuclei, we can use the concept of binding energy. The binding energy of a nucleus is the amount of energy required to completely remove all of its nucleons (protons and neutrons).

In this case, we can calculate the binding energy of Sn and Sb nuclei by using the atomic masses provided. The difference between the atomic mass and the sum of the individual nucleon masses is the binding energy.

For Sn, the binding energy would be (119.902199u - 50(1.007825u)) = 69.897949u. This means that 69.897949u of energy is required to completely remove all 50 protons and 71 neutrons from Sn nucleus.

For Sb, the binding energy would be (120.903821u - 51(1.007825u)) = 69.897696u. This is slightly less than the binding energy of Sn, indicating that it is easier to remove a proton from the Sb nucleus.

This result is in line with the shell model, which predicts that it is easier to remove a proton from a nucleus with an extra proton outside the filled shell. This is because the extra proton is less tightly bound compared to the protons in the filled shell.

In conclusion, by calculating the binding energy of Sn and Sb nuclei, we can verify that it is easier to remove a proton from Sb compared to Sn. This supports the concept of the shell model and provides evidence for the nuclide structure of these nuclei.