# Atomic orbitals 5f electron density

This page contains movies depicting the 5fxy, 5fxz, 5fyz, and 5fx2-y2 wave functions. In all cases the greenzones are where the 5f wave function has positive values and the white zones denote negative values. See the 5f wave function page for movies depicting the 5f the wave functions and nodal structures.

The "surface" of the three-dimensional orbital at the top centre of each movie represents points for which the electron density for that orbital is the same - an isosurface. By choosing different values of electron density, denoted by the bar moving up and down on the line plot or by the moving plane on the surface plot, then the size of the three-dimensional plot changes. All values of electron density are of necessity not negative since the square of any real number cannot be less than zero.

Each of the 5f orbitals has three planar nodes or conical nodes. The 5f orbitals have no spherical nodes but the higher f-orbitals ( 6f and 7f) have more while the lower orbitals (4f) have fewer.

## 5fz3, 5fx3, and 5fy3 orbital electron density

Movie depicting the 5fz3 electron density function (ψ5fz3)2. The z-axis lies from left to right. The 5fx3 and 5fy3 orbitals are identical in appearance but orientated along the x and y axes respecively. The 5fz3 orbital has two conical nodes.

## 5fxz2 and 5fyz2 orbital electron density

Movie depicting the 5fxz2 electron density function (ψ5fxz2)2. The left image shows a two-dimensional electron dot-density plot of the 5fxz2 orbital (across the x=0 plane). The right image is a plot along the y axis. The 5fyz2 is identical in appearance but rotated by 90° about the y-axis.

## 5fxyz and 5fz(x2-y2) electron density

Movie depicting the 5fxyz electron density function (ψ5fxyz)2. The left image shows a two-dimensional electron dot-density plot of the 5fxyz orbital (across the x=y plane). The right image is along the x=y, z=0 line. The 5fxyz and 5fz(x2-y2) are related to each other by a 45° rotation about the z-axis.

## 5fy(3x2-y2) and 5fx(x2-3y2) electron density

The first image shows a two-dimensional electron dot-density plot of the 5fx(x2-3y2) orbital (across the z=0 plane, x axis pointing right). The 5fy(3x2-y2) orbital is identical in appearance but rotated by 90° about the vertical z-axis.

The OrbitronTM, a gallery of orbitals on the WWW: https://winter.group.shef.ac.uk/orbitron/