World 1 · Hydrogen without planetary orbits · 9 minTwo lobes and a plane
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For 2p with m=0, the z=0 plane is a node. The two lobes have opposite wavefunction signs. This bench uses real spherical harmonics: for |m|>0, cosine and sine combinations of the ±m states. They are valid stationary hydrogen states but are not individual Lz eigenstates.
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For a 2p orbital, l is…
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