# Atomic orbitals 5*d* wave function nodal structures

This page contains movies depicting the 5*d* orbital wave functions. In all cases the red zones are where the 5*d* wave functions have positive values and the white zones denote negative values. See the 5*d* electron density page for movies depicting the 5*d* electron density and nodal structures.

## 5*d*_{z2} orbital wave functions

**Play this movie depicting the 5 d_{z2} wave function (ψ_{5dz2}) to get a clearer view of the nodal structure for this orbital.**

The surface plot on the left shows values of (ψ_{5dz2}) 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 5*d*_{z2} orbital has two conical nodes. It has no spherical nodes. The higher *d*-orbitals (
6*d* and
7*d*) have more while lower orbitals (
3*d* and
4*d*) have fewer.

## 5*d*_{x2–}_{y2}, 5*d*_{xy}, 5*d*_{xz}, and 5*d*_{yz} orbital wave functions

**Movie depicting the 5 d_{x2–}_{y2} wave function (ψ_{5dx2–
y2})**. The

*x*-axis lies from left to right and the

*y*-axis into the screen away from you. This orbital is related to the 5

*d*

_{xy}orbital (below) by a 45° rotation about the

*z*-axis.

*x*=

*y*line drawn through the nucleus while the surface plot on the right shows values of

*ψ*

_{5dxy}on the

*xy*plane drawn through the nucleus.

**Movie depicting the 5 d_{xy} wave function (ψ_{5dxy}).** The plot on the left shows values of (

*ψ*

_{5dxy}) 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 5

*d*

_{xz}and 5

*d*

_{yz}orbitals is similar, differing only in orientation.

Each of the 5*d*_{x2–}_{y2}, 5*d*_{xy}, 5*d*_{xz}, and 5*d*_{yz} orbitals have two planar nodes normal to the axis of the orbital. These orbitals have two spherical nodes. The higher *d*-orbitals (
6*d* and
7*d*) have more while lower orbitals (
3*d* and
4*d*) have fewer.

The Orbitron

^{TM}, a gallery of orbitals on the WWW: https://winter.group.shef.ac.uk/orbitron/

Copyright 2002-2023 Prof. Mark Winter [The University of Sheffield]. All rights reserved.