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Atomic orbitals: 7f wave functions

This page addresses the 7fxyz, 7fx(z2-y2), 7fy(z2-x2), and 7fz(x2-y2) wave functions. See below for links to images of the wave functions of the other 7f wave functions.

Schematic plot of the 7f wave function ψ7fxyz.

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 7fxyz, 7fx(z2-y2), 7fy(z2-x2), and 7fz(x2-y2) are identical in appearance and differ only is direction. The 7fx(z2-y2), 7fy(z2-x2), and 7fz(x2-y2) orbitals can be generated from the 7fxyz orbital by 45° rotations about the x-, y-, and z-axes respectively. This is best seen when viewing all four together.

Links to 7f wave functions

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Copyright 2002-2015 Prof Mark Winter [The University of Sheffield]. All rights reserved.
Document served: Saturday 23rd September, 2017