Question

An electron is in one of the 3d orbitals. Give the possible values of n, l and $m_l$ for this electron.

Answer 1

The electron is said to be present in one of the "3d orbitals". Thus,

(a) The "principal quantum number" 'n' is 3. This value is same for every electron irrespective of the orbital to which the electron belongs.

(b) The "Azimuthal quantum number" 'l' is 2. This value tells the sub level in which the electron is located in.

(c) The "magnetic quantum number" ${ m }_{ l }$ is (-2,-1, 0, 1, 2). The "number of orbitals" and their "orientation" is determined by the "magnetic quantum number".

Answer 2

Explanation:

The total number of possible values of magnetic quantum number for the value of l = 3 is. Solution : When l= 3, m = -3, -2, -1, 0, +1, +2, +3, i.e., there are 7 values for m.