A possible excited state for the H atom has an electron in a 5d orbital. List all possible sets of quantum numbers n, ℓ, and ml for this electron. Enter a value for n, ℓ, and ml for each set.

Answer : All possible sets of quantum numbers for 5d orbital are:

n = 5, l = 2 and

Explanation :

Principle Quantum Numbers : It describes the size of the orbital. It is represented by n. n = 1,2,3,4....

Azimuthal Quantum Number : It describes the shape of the orbital. It is represented as 'l'. The value of l ranges from 0 to (n-1). For l = 0,1,2,3... the orbitals are s, p, d, f...

Magnetic Quantum Number : It describes the orientation of the orbitals. It is represented as . The value of this quantum number ranges from . When l = 2, the value of

Spin Quantum number : It describes the direction of electron spin. This is represented as . The value of this is for upward spin and for downward spin.

Now we have to determine the all possible sets of quantum numbers for 5d orbital.

For 5d :

n = 5       (Because it is in 3rd shell)

l = 2         (Because it is in 'd' orbital)

    (Because l = 2)