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For fun, let's give them numbers instead of letters, and call s "0", p "1", d "2", and f "3".Then the number of distinct orbitals for any given principal quantum number (which is a more precise way of the concept you meant when you said "energy level") is twice the number plus 1... though the principal quantum number must be higher than the numbers we just gave the orbitals in order for there to be any at all (there aren't any 1p orbitals, for example).

For principal quantum number of at least four, there are 1 s orbital, 3 p orbitals, 5 d orbitals, and 7 f orbitals.

If we call the four quantum numbers n, l, m, and s, where n is the principal quantum number, l is the azimuthal quantum number, m is the magnetic quantum number, and s is the spin quantum number, the permissible values are:

n - any integer such that 0 < n ("shell")

l - any integer such that 0 <= l < n (orbital "type" - s, p ,d ,f, g, h, i, etc.)

m - any integer such that -l <= m <= l (individual orbitals of type l)

s - -1/2 or +1/2 (electron "spin")

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What is the maximum number of orbitals in any single energy level in an atom?

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What is the maximum number of orbitals in any single energy level in an atom?

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