From the following sets of quantum numbers, state which are possible. Explain why the others are not possible.
(a) n = 0, l = 0, ml = 0, ms = + ½
(b) n = 1, l = 0, ml = 0, ms = – ½
(c) n = 1, l = 1, ml = 0, ms = + ½
(d) n = 2, l = 1, ml = 0, ms = – ½
(e) n = 3, l = 3, ml = –3, ms = + ½
(f) n = 3, l = 1, ml = 0, ms = + ½
From the following sets of quantum numbers, state which are possible. Explain why the others are not possible.
(a) n = 0, l = 0, ml = 0, ms = + ½
(b) n = 1, l = 0, ml = 0, ms = – ½
(c) n = 1, l = 1, ml = 0, ms = + ½
(d) n = 2, l = 1, ml = 0, ms = – ½
(e) n = 3, l = 3, ml = –3, ms = + ½
(f) n = 3, l = 1, ml = 0, ms = + ½
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1 Answer
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(a) The set of quantum numbers is not possible because the minimum value of n can be 1 and not zero.
(b) The set of quantum numbers is possible.
(c) The set of quantum numbers is not possible because, for n = 1, l cannot be equal to 1. It can have 0 value.
(d) The set of quantum numbers is possible.
(e) The set of quantum numbers is not possible because, for n = 3, l cannot be 3.
(f) The set of quantum numbers is possible
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In 4d orbital, n = 4 and
Radial nodes =
Radial nodes = 4 – 2 – 1 = 1
And angular nodes,
Here, number of unpaired electrons, n = 1
Spin only moment ;
= 173 × 10-2 B.M
=
= (At constant pressure)
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