Write down the quantum number for the outermost and the highest energy electron in casE of zinc.

In ZINC
Zn atom : 1s²2s²2p⁶3s²3p⁶3d¹⁰4s²

exceptional EC due to full filled stability of full filled d orbital. Due to exchange energy of electrons and symmetry of d orbital


Therefore the last (outermost) electrons of Zn are located in 4s orbital.

Now, the quantum numbers:

Principal quantum number describes the shell of the electron.
n = 4

Azimuthal quantum number describes the subshell of the electron. Since we specify the e- in s-subshell,
l = 0

Magnetic quantum number describes the type of the orbital of the electron. The e- is in s orbital, therefore,
m = 1
Spin quantum number)

Each orbital can hold maximum 2 e- with opposite spins. These are represented as +1/2 and -1/2.
Since, Zn has 2e- in its outermost shell, one of them will have
s = +1/2 and the other s = -1/2.