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We’re being asked to determine the number of orbitals for n = 5 and l = 0-5 (n instead of n-1).
Recall that the quantum numbers that define an electron are:
• Principal Quantum Number (n): deals with the size and energy of the atomic orbital.
The possible values for n are 1 to ∞.
• Angular Momentum Quantum Number (l): deals with the shape of the atomic orbital.
The possible values for l are 0 to (n – 1).
• Magnetic Quantum Number (ml): deals with the orientation of the atomic orbital in 3D space.
The possible values for ml is the range of l: –l to +l.
Suppose that in an alternate universe, the possible values of l are the integer values from 0 to n (instead of 0 to n - 1). Assuming no other differences between this universe and ours, how many orbitals would exist in each level in the alternate universe?
n = 5
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