Question

what is the total number of orbitals associated with the principal quantum number n=3

Answer 1

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The number of orbitals in a shell is the square of the principal quantum number: 1² = 1, 2² = 4, 3² = 9. There is one orbital in an s subshell (l = 0), three orbitals in a p subshell (l = 1), and five orbitals in a d subshell (l = 2). The number of orbitals in a subshell is therefore 2(l) + 1.

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Answer 2

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The number of orbitals in a shell is the square of the principal quantum number: 1²= 1, 2² = 4, 3² = 9. There is one orbital in an s subshell (l = 0), three orbitals in a p subshell (l = 1), and five orbitals in a d subshell (l = 2). The number of orbitals in a subshell is therefore 2(l) + 1.

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