# How many orbitals are there in the seventh shell ?

Oct 6, 2015

$49$

#### Explanation:

You can determine the number of orbitals you have in a particular shell by using the principal quantum number, $n$.

More specifically, the number of orbitals that can be found in each shell is given by

$\text{no. of orbitals} = {n}^{2}$

So, for the first shell you have

$\text{no. of orbitals} = {1}^{2} = 1$

For the second shell you have

$\text{no. of orbitals} = {2}^{2} = 4$

In your case, the seventh shell will contain

$\text{no. of orbitals} = {7}^{2} = 49$

Notice that you can easily find the number of electrons that an atom can accomodate on a particular shell, or energy level, by using the fact that each orbital can hold a maximum of two electrons.

In the case of the seventh shell, those $49$ orbitals will hold a maximum of

${\text{no. of electrons" = 2 * 49 = "98 e}}^{-}$