# Question #7c45b

Jun 21, 2017

${m}_{l} = \left\{- 3 , - 2 , - 1 , 0 , 1 , 2 , 3\right\}$

#### Explanation:

As you know, the magnetic quantum number, ${m}_{l}$, describes the orientation of the orbital in which a given electron is located.

In other words, the magnetic quantum number tells you the exact orbital in which the electron is located.

Now, the magnetic quantum number depends on the value of the angular momentum quantum number, $l$, which in turn depends on the value of the principal quantum number, $n$.

The $f$ orbitals are located in the $f$ subshell, which corresponds to

$l = 3$

The magnetic quantum number can thus take the following values

${m}_{l} = \left(- 3 , - 2 , - 1 , 0 , 1 , 2 , 3\right\}$

You can thus say that the $f$ subshell contains seven $7$ orbitals, each corresponding to a different value of the magnetic quantum number.