Quantum Numbers & Orbitals

We need to map the principal quantum number $n$ and azimuthal quantum number $l$ to the standard subshell notation. The principal quantum number $n$ directly gives the numerical part of the notation. The azimuthal quantum number $l$ determines the subshell letter: $l=0$ is s, $l=1$ is p, $l=2$ is d, and $l=3$ is f. For an orbital with $n = 2$ and $l = 1$, the subshell notation is 2p. If we are given $n = 4$ and $l = 0$, we combine the shell number 4 with the letter for $l=0$, giving the notation . Similarly, for an orbital with $n = 5$ and $l = 3$, the value $l=3$ corresponds to the f subshell, making the notation . Finally, applying this rule to an electron with $n = 3$ and $l = 2$, the subshell is designated as .