# How many sublevels are in the n = 3 level? sublevels: How many orbitals are in...

How many sublevels are in the n = 3 level? sublevels: How many orbitals are in the n = 3 level? orbitals: What is the maximum number of electrons in the n = 3 level? electrons:

The principal quantum number $$(n)$$ has $$n-1$$ values of $$l$$ including zero. For $$n=3$$ :

$$l=0 \quad \rightarrow \quad ' s^{\prime}$$ orbital

$$l=1 \rightarrow^{\prime} p^{\prime}$$ orbital

$$l=2 \quad \rightarrow \quad d^{\prime}$$ orbital

Therefore, the number of sublevels in the $$n=3$$ level is 3 . The number of orbitals in $$n$$ th level is $$n^{2}$$. So, the number of orbitals in the $$n=3$$ level is 9 . They are $$3 s, 3 p_{x}, 3 p_{y}, 3 p_{z}, 3 d_{x y}, 3 d_{y z}, 3 d_{x z}, 3 d_{x^{2}-y^{2}}$$, and $$3 d_{z^{2}}$$

The maximum number of electrons in $$n$$ th level is $$2 n^{2}$$. So, the maximum number of electrons in the $$n=3$$ level is 18 .

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