which of the following is not a valid set of four quantum numbers? (n, l, ml, ms) question 5 options: a) 2, 0, 0, 1/2 b) 1, 0, 0, 1/2 c) 2, 1, 0, -1/2 d) 3, 1, -1, -1/2 e) 1, 1, 0, 1/2



Answer :

Set e) 1, 1, 0, 1/2 is not a valid set of quantum numbers.

To reiterate the rules for the quantum number values:

1) The principal quantum number (n) can be any integer greater than 0. All given sets meet this prerequisite.

2) For a given value of n, the angular momentum quantum number (l) can have any integer value from 0 to n-1. Set e) does not meet this criterium, because, for n = 1, l can only have a value of 0 (1 - 1 = 0).

3) For a given value of l, the magnetic quantum number (ml) can have integer values from -l to l. All given sets meet this prerequisite.

4) Spin quantum number (ms) can be either +1/2 or -1/2. All given sets meet this prerequisite.  

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