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Atomic orbitals: 4f wave functions

This page addresses the 4fy(3x2-y2) and 4fx(x2-3y2) wave functions, both of which are only in the general set of 4f orbitals. See below for links to images of the wave functions of the other 4f wave functions.

Schematic plot of the 4fx(x2-3y2) wave function ψ4fx(x2-3y2). Blue represents negative values for the wave function and red represents positive values. Each of the six lobes is identical as regards shape but each is orientated in a different direction.

The line graph on the left is a plot of values along the x-axis. The surface plot on the right shows values of ψ4fx(x2-3y2) on a slice drawn through the xy plane (z = 0). The x-direction is the same in both plots.

The 4fy(3x2-y2) and 4fx(x2-3y2) orbitals are identical in appearance and differ only in direction. One can be mapped to the other by a 90° rotation about the z-axis. This is best seen when viewing both together.

Links to 4f wave functions

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The Orbitron is a gallery of orbitals on the WWW

The OrbitronTM, a gallery of orbitals on the WWW, URL: http://winter.group.shef.ac.uk/orbitron/
Copyright 2002-2015 Prof Mark Winter [The University of Sheffield]. All rights reserved.
Document served: Wednesday 26th September, 2018