What are quantum numbers? Explain briefly the various quantum numbers which completely specify an electron in an atom.
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?
(i) For n = 3; l = 0, 1 and 2
For l = 0, ml = 0
For l =1, ml = -1, 0+1
For l = 2, ml = -2, -1, 0, +1, +2
(ii) For 3d orbital, n = 3, l =2
For l =2, ml = -2, -1, 0, +1, +2
(iii) 1 p is not possible because when n = 1, l = 0 only (For p, l = 1)
2s is possible because when n =2, l = 0, 1(For s, l = 0)
2p is possible because when n=2, l = 0, (For p, l = 1)
3f is not possible because when n = 3, l = 0, 1, 2(For f, l = 3).
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.