Shapes of the 4f orbitals in 3D

The lanthanide series is defined by the progressive filling of the 4f orbitals. These seven orbitals have the following ml values:

ml=0, ±1, ±2,
±3

ml=0 are real, all the others are complex and so linear combinations must be taken to obtain
real orbitals.

General set

These are produced by simply taking linear
combinations of m
l=±1, ±2, ±3

ml
0 z3
±1 xz2
yz
2
±2 xyz z(x2-y2)
±3 x(x2-3y2)
y(3x
2-y2)

 

Explore other atomic orbitals

s-orbitals |2p-orbitals |3p-orbitals | 3d-orbitals | 4f-orbitals

Comparison of 1s, 2s and 2p-orbitals

 

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