What atomic orbital has the quantum numbers n = 3, l = 1, ml = -1?

I don't understand the question.

I believe it is supposed to be m subscript l , I am not sure.

To determine the atomic orbital with the given quantum numbers, follow these steps:

1. Identify the principal quantum number (n):
In this case, n = 3.

2. Identify the azimuthal quantum number (l):
In this case, l = 1.

3. Identify the magnetic quantum number (ml):
In this case, ml = -1.

Now, let's determine the atomic orbital:

The azimuthal quantum number (l) represents the shape of the orbital and can have values from 0 to (n-1). In this case, l = 1, which means the possible orbital shapes are p orbitals.

The magnetic quantum number (ml) represents the orientation of the orbital within the designated shape. The ml values range from -l to +l. In this case, ml = -1, which corresponds to the specific orientation within the p orbital.

So, the atomic orbital with the given quantum numbers n = 3, l = 1, ml = -1 is the px orbital.