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Atomic orbitals: 5f wave functions

This page addresses the 5fxyz, 5fx(z2-y2), 5fy(z2-x2), and 5fz(x2-y2) wave functions. See below for links to images of the wave functions of the other 5f wave functions.

Schematic plot of the 5f wave function ψ5fxyz.

The line graph on the left is a plot of values along along the x = y = z line. The surface plot is on the x = y plane, so the line plot is along the diagonal from bottom left to top right of the surface plot.

The 5fxyz, 5fx(z2-y2), 5fy(z2-x2), and 5fz(x2-y2) are identical in appearance and differ only is direction. The 5fx(z2-y2), 5fy(z2-x2), and 5fz(x2-y2) orbitals can be generated from the 5fxyz orbital by 45° rotations about the x-, y-, and z-axes respectively. This is best seen when viewing all four together.

Links to 5f wave functions

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Document served: Sunday 27th September, 2020