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General Chemistry I Worksheet: Working with Orbitals and Quantum Numbers
1. How many different orbitals in a given atom can have an n=3 quantum number? ________
List the quantum numbers for each of these orbitals (ONE NUMBER PER BOX):
n
ml
l
3
3
3
3
3
3
3
3
3
2. How many orbitals can have each of the sets of quantum numbers given below?
________ n = 5, l = 0
________ n = 2, l = 2
________ n = 4, l = 1
________ n = 3, ml = 0
________ n = 3, l = 2
________
n = 2, l = 1, ml = 1
3. Circle any of the potential orbitals of the hydrogen atom that are listed below that are NOT allowed.
2s
3f
2p
10s
2d
4f
4. Circle any of the sets of quantum numbers below that are impossible combinations. Explain why they
would not work in the space below.
n=3 l = 0 ml = 0
n=6 l = -3 ml = 2
n=2 l = 0 ml = -1
n=4 l = 3 ml = 2
n=5 l = 1 ml = 0
n=4 l = 1 ml = -2
5. An electron in a hydrogen atom relaxes to the n = 3 level, emitting radiation whose wavelength is
1.005 m. From what energy level did the electron ‘fall’? The energy formula for hydrogen atom is
E
A
n
2
where A  2.18 10 18 J