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The orbitals represented by the quantum numbers n=3, l=2, m=+2 and n=3, l=2, m=-2  have the same energy

Question

The orbitals represented by the quantum numbers

n=3, l=2, m=+2
and
n=3, l=2, m=-2
have the same energy.

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Solution

Yes, the orbitals represented by the quantum numbers n=3, l=2, m=+2 and n=3, l=2, m=-2 do have the same energy. This is because the energy of an electron in an atom is determined by the principal quantum number (n) and the type of atom. The other quantum numbers (l and m) describe the shape and orientation of the orbital, but do not affect the energy in a one-electron atom or ions. Therefore, since n=3 for both orbitals and they are in the same atom, they have the same energy.

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