# Atomic orbitals 5*d* electron density

This page contains movies depicting the 5*d*_{xy}, 5*d*_{xz}, 5*d*_{yz}, and 5*d*_{x2-y2} wave functions. In all cases the red zones are where the 5*d* wave function has positive values and the white zones denote negative values. See the 5*d* wave function page for movies depicting the 5*d* 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.

## 5*d*_{z2} orbital electron density

**Movie depicting the 5 d_{z2} electron density function (ψ_{5dz2})^{2}.** The z-axis lies from left to right.

The 5*d*_{z2} orbital has two conical nodes two spherical nodes. The higher *d*-orbitals (
6*d*, and
7*d*) have more while the lower orbitals (3*d* and
4*d*) have fewer.

## 5*d*_{x2–}_{y2} orbital electron density

**Movie depicting the 5 d_{x2–}_{y2} electron density function (ψ_{5dx2–
y2})^{2}**. The

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

*y*-axis into the screen away from you.

The 5*d*_{x2–}_{y2} orbital orbital is related to the 5*d*_{xy} orbital (below) by a 45° rotation about the *z*-axis.

## 5*d*_{xy}, 5*d*_{xz}, and 5*d*_{yz} orbital electron density

**Movie depicting the 5 d_{xy} electron density function (ψ_{5dxy})^{2}.** The

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

*y*-axis into the screen away from you. The graph on the left shows values of (

*ψ*

_{5dxy})

^{2}on the

*xy*plane drawn through the nucleus while the graph on the right is a plot of values 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 one spherical node. The higher *d*-orbitals (
6*d*, and
7*d*) have further spherical nodes while lower *d*-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.