# Atomic orbitals 3d wave function nodal structures

This page contains movies depicting the 3d orbital wave functions. In all cases the red zones are where the 3d wave functions have positive values and the white zones denote negative values. See the 3d electron density page for movies depicting the 3d electron density and nodal structures.

## 3dz2 orbital wave functions

Play this movie depicting the 3dz2 wave function (ψ3dz2) to get a clearer view of the nodal structure for this orbital.

The surface plot on the left shows values of (ψ3dz2) on a slice drawn through the nucleus and including the z-axis. The graph on the right is a plot of values along a single line drawn through the nucleus along the z axis. The 3dz2 orbital has two conical nodes. It has no spherical nodes but the higher d-orbitals ( 4d, 5d, 6d, and 7d) have one or more.

## 3dx2–y2, 3dxy, 3dxz, and 3dyz orbital wave functions

Movie depicting the 3dx2y2 wave function (ψ3dx2y2). The x-axis lies from left to right and the y-axis into the screen away from you. This orbital is related to the 3dxy orbital (below) by a 45° rotation about the z-axis.

The graph on the left is a plot of values along a single line along the x=y line drawn through the nucleus while the surface plot on the right shows values of ψ3dxy on the xy plane drawn through the nucleus.

Movie depicting the 3dxy wave function (ψ3dxy). The plot on the left shows values of (ψ3dxy) on the xy plane drawn through the nucleus The x-axis lies from left to right and the y-axis into the screen away from you. The line plot on the right is along a single line along the x=y line drawn through the nucleus. The form of the plots for the 3dxz and 3dyz orbitals is similar, differing only in orientation.

Each of the 3dx2y2, 3dxy, 3dxz, and 3dyz orbitals have two planar nodes normal to the axis of the orbital. These orbitals have no spherical nodes but the higher d-orbitals ( 4d, 5d, 6d, and 7d) have one or more.

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