Hydrogen orbitals 3D

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Single electron orbitals of the hydrogen atom which constitute simultaneous eigenstates of H, L² and L_z. Each orbital is aligned around the z-axis, but it remained a valid eigenfunction if rotated to any direction.

For real-valued orbitals, as convenient in chemistry, look at Hydrogen orbitals 3D real.

n = 1[edit]

n=1, l=0, m=0
n=1, l=0, m=0
n=1, l=0, m=0

n = 2[edit]

n=2, l=0, m=0
n=2, l=0, m=0
n=2, l=0, m=0

n=2, l=1, m=-1
n=2, l=1, m=0
n=2, l=1, m=1

n = 3[edit]

n=3, l=0, m=0
n=3, l=0, m=0
n=3, l=0, m=0

n=3, l=1, m=-1
n=3, l=1, m=0
n=3, l=1, m=1

n=3, l=2, m=-2
n=3, l=2, m=-1
n=3, l=2, m=0
n=3, l=2, m=1
n=3, l=2, m=2

n = 4[edit]

n=4, l=0, m=0
n=4, l=0, m=0
n=4, l=0, m=0

n=4, l=1, m=-1
n=4, l=1, m=0
n=4, l=1, m=1

n=4, l=2, m=-2
n=4, l=2, m=-1
n=4, l=2, m=0
n=4, l=2, m=1
n=4, l=2, m=2

n=4, l=3, m=-3
n=4, l=3, m=-2
n=4, l=3, m=-1
n=4, l=3, m=0
n=4, l=3, m=1
n=4, l=3, m=2
n=4, l=3, m=3

n = 5[edit]

n=5, l=0, m=0
n=5, l=0, m=0
n=5, l=0, m=0

n=5, l=1, m=-1
n=5, l=1, m=0
n=5, l=1, m=1

n=5, l=2, m=-2
n=5, l=2, m=-1
n=5, l=2, m=0
n=5, l=2, m=1
n=5, l=2, m=2

n=5, l=3, m=-3
n=5, l=3, m=-2
n=5, l=3, m=-1
n=5, l=3, m=0
n=5, l=3, m=1
n=5, l=3, m=2
n=5, l=3, m=3

n=5, l=4, m=-4
n=5, l=4, m=-3
n=5, l=4, m=-2
n=5, l=4, m=-1
n=5, l=4, m=0
n=5, l=4, m=1
n=5, l=4, m=2
n=5, l=4, m=3
n=5, l=4, m=4

n = 6[edit]

n=6, l=0, m=0
n=6, l=0, m=0
n=6, l=0, m=0

n=6, l=1, m=-1
n=6, l=1, m=0
n=6, l=1, m=1

n=6, l=2, m=-2
n=6, l=2, m=-1
n=6, l=2, m=0
n=6, l=2, m=1
n=6, l=2, m=2

n=6, l=3, m=-3
n=6, l=3, m=-2
n=6, l=3, m=-1
n=6, l=3, m=0
n=6, l=3, m=1
n=6, l=3, m=2
n=6, l=3, m=3

n=6, l=4, m=-4
n=6, l=4, m=-3
n=6, l=4, m=-2
n=6, l=4, m=-1
n=6, l=4, m=0
n=6, l=4, m=1
n=6, l=4, m=2
n=6, l=4, m=3
n=6, l=4, m=4

n=6, l=5, m=-5
n=6, l=5, m=-4
n=6, l=5, m=-3
n=6, l=5, m=-2
n=6, l=5, m=-1
n=6, l=5, m=0
n=6, l=5, m=1
n=6, l=5, m=2
n=6, l=5, m=3
n=6, l=5, m=4
n=6, l=5, m=5

Collections[edit]

orbitals with one radial node up to m=4
some orbitals with m≥0
m-eigenvalues and ±m superposition orbitals
All orbitals up to n=3
All orbitals up to n=4
Density Plots

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