For the table that follows, indicate which orbital corresponds to each set of quantum numbers. Ignore x, y, and z subscripts. If the quantum numbers are not allowed (i. e., contain an illegitimate value), indicate that by using the "not allowed" label. Drag the appropriate labels to their respective targets.

1s

not allowed

3d

not allowed

not allowed

4d

5f

Explanation:

Coefficient = n

l = n-1, where 0=s, 1=p, 2=d, 3=f

ml = -l to +l

The quantum numbers are used to show the arrangement of electrons in orbitals in an atom.

There are four sets of quantum numbers;

Now we are going to assign orbitals to each arrangement of quantum numbers as shown below;

n        l         ml          orbital

1         0        0            1s

3        -3        2           not allowed

3        2        -2           3d

2        0        -1           not allowed

0        0        0           not allowed

4        2         1           4d

5        3         0          5f

We can see that s p d f corresponds to l = 0 1 2 3.

Also note that;

When l = 0 then m= 0

When l= 1, m = -1, 0, 1

When l= 2  m = -2, -1, 0, 1, 2

When l =3  m = -3, -2, -1, 0, 1, 2, 3

Note that n must take positive integer values greater than zero.

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