The total number of orbitals associated with the principal quantum number n is given by n^2. Therefore, for n = 3, the total number of orbitals is:
n^2 = 3^2 = 9
So, there are a total of 9 orbitals associated with the principal quantum number n = 3. These orbitals are distributed across the subshells with quantum numbers l = 0, 1, and 2, which correspond to the s, p, and d subshells, respectively. The s subshell contains one orbital, the p subshell contains three orbitals, and the d subshell contains five orbitals, giving a total of nine orbitals.
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