Defining quantum numbers for orbital states? Watch

PencilPot!
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#1
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The 2p orbitals for hydrogen atom have the functional form:
1) Ψ(p, θ, Φ) = sin(θ)e^iΦpe^-p/2

Quantum numbers:

n= 2 because it's a 2p orbital
l = 1

ml ? I know the magnetic quantum number is associated with the z-component of the orbital angular momentum.
but when I apply it, I'm not too sure how to differentiate it?
It should be 1 because e does contain Φ?
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alow
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#2
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(Original post by PencilPot!)
The 2p orbitals for hydrogen atom have the functional form:
1) Ψ(p, θ, Φ) = sin(θ)e^iΦpe^-p/2

Quantum numbers:

n= 2 because it's a 2p orbital
l = 1

ml ? I know the magnetic quantum number is associated with the z-component of the orbital angular momentum.
but when I apply it, I'm not too sure how to differentiate it?
It should be 1 because e does contain Φ?
m_l spans from -l to l in integer steps, so it'll depend on which 2p orbital you're talking about.
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PencilPot!
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(Original post by alow)
m_l spans from -l to l in integer steps, so it'll depend on which 2p orbital you're talking about.
Oh yeahhhhh
so, how would I do it?
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alow
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(Original post by PencilPot!)
Oh yeahhhhh
so, how would I do it?
Well one of the 2p orbitals will have m_l=1, one will have m_l=0, etc. (it's a bit more complicated than this though see: https://chemistry.stackexchange.com/...eal-p-orbitals, the x and y states are considered to be linear combinations of the x and y 'orbitals' due to their degeneracy in the xy plane)
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