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| Atomic orbitals |
| Level 1 1s |
| Level 2 2s 2p |
| Level 3 3s 3p 3d |
| Level 4 4s 4p 4d 4f |
| Level 5 5s 5p 5d 5f 5g |
| Level 6 6s 6p 6d 6f 6g |
| Level 7 7s 7p 7d 7f 7g |
| Hybrid orbitals |
| 2s+2p hybrids sp sp2 sp3 |
| 3s+3p+3d hybrids dsp3 d2sp3 |
| Molecular orbitals |
| H2, dihydrogen σ* σ |
| N2, dinitrogen σp* πx* πy* σp πx πy σs* σs |
| Introduction | Wave function | Electron density | Dots! | Radial distribution | Equations |
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Atomic orbitals: 4f wave functions
This page addresses the 4fx3, 4fy3, and 4fz3 wave functions. The last of these (4fz3) is common to both the general and cubic 4f orbital sets. The other two are not in the general set. See below for links to images of the wave functions of the other 4f wave functions.
Schematic plot of the 4fx(5x2-3r2) (abbreviated as 4fx3) wave function ψ4fx3.
The line graph on the left is a plot of values along the x-axis. The surface plot on the right shows values of ψ4fx3 on any slice drawn through the x-axis such as the xy and xz planes.
The 4fx3, 4fy3, and 4fz3 are identical in appearance and differ only in direction. This is best seen when viewing all three together.
Links to 4f wave functions
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