We are asked to identify the lowest energy shell that contains an f orbital.
To determine which quantum numbers will correspond an f orbital, let’s first define the values of first 2 quantum numbers:
• principal quantum number (n) → energy level in orbitals and its value could be any positive integer starting from 1
• angular momentum quantum number (ℓ) → (l) has to be at least 1 less than n, range of values from 0 up to (n-1) and each number corresponds to a subshell:
10. The lowest energy shell that contains f orbitals is the shell with n = __________.
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