What are quantum numbers? Explain briefly the various quantum numbers which completely specify an electron in an atom.
Significance of quantum numbers:
(i) Principal quantum number (n): It signifies the size of the electron cloud. It can have values 1, 2, 3, 4.....etc.
(ii) Azimuthal quantum number (l): It signifies the shape of electron cloud. It can have values from l = 0 to l = n - 1.
(iii) Magnetic quantum number (m): It signifies the orientation of electron cloud. It can have values from - l to + l including zero.
(iv) Spin quantum number (s): It signifies the spin of the electrons can have values 1/2 for each value of m.
An electron is placed in 4f orbital. What possible values for the quantum numbers, n, l, m and s can it have?
(i) An atomic orbital has n = 3. what are the possible values of l and ml ?
(ii) List the quantum number (ml and l) of electrons for 3d orbital.
(iii) Which of the following orbitals are possible: 1p, 2s, 2p, and 3f?
How many electrons in an atom may have the following quantum numbers?
(a) n = 4, ms = - 1/2 (b) n = 3, l = 0
Using s, p, d notations describe orbital with the following quantum numbers:
(a) n = 1, l = 0; (b) n = 3; l = 1 (c) n = 4; l = 2; (d) n =4, l = 3.