Each of the following sets of quantum numbers is not allowed

Each of the following sets of quantum numbers is not allowed, but it can be corrected by changing only one quantum number in the set. Identify which quantum number should be changed and then select a value for that quantum number that makes the set acceptable.

n

l

m_l

m_s

Incorrect
Number

Acceptable
Number

3

3

-3

1/2

    ---Select---nlmlms

       ---Select---43210-1/2-3

4

0

-4

-1/2

    ---Select---nlmlms

       ---Select---43210-1/2-3

85

80

-30

0

    ---Select---nlmlms

       ---Select---84-84863031-1/2-3

6

-5

-5

1/2

    ---Select---nlmlms

       ---Select---6540-1-1/2-3

0

0

0

-1/2

    ---Select---nlmlms

    ---Select---6-1-1/2-3

Solution

We need to remember the rules:

(1) n = 1, 2, 3, and so on.
(2) l = 0, 1, 2, . . . , n-1
(3) m starts at negative \'l,\' runs by whole numbers to zero and then goes to positive \'l.\'
(4) after the n, l and m to be used have been determined, assign the value +1/2 to one electron, then assign -1/2 to the next electron, while using the same n, l and m values.