# Atomic orbitals: 6h electron "dot-density"

This page shows representations of electron density in two ways. The first is two-dimensional electron "dot-density" diagrams - plots across an appropriate plane of each 6h orbital. These were created using a Monte Carlo computational method. The second page allows you interact (zoom, rotate) with three-dimensional electron "dot-density" models representing electron density of the various 6h atomic orbitals created by the same Monte Carlo computational method. Turquoise (cyan) represents regions for which the wave functions are positive and white represents where values are negative.

## 6hz5 electron "dot-density"

The 6hz5 orbital name is an abbreviation for 5hz(63z4 - 70z2r2 + 15r4).

The first image shows a two-dimensional electron dot-density plot of the 6hz5 (z-axis is vertical). The second image is an interactive (see below for instructions) represention of electron density in three-dimensions for the same orbitals.

## 6hyz4 and 6hxz4 electron "dot-density"

The 6hyz4 orbital name is an abbreviation for 6hy(21z4–14z2r2+r4). The 6hxz4 orbital name is an abbreviation for 6hx(21z4–14z2r2+r4). These two orbitals are related to each other by a 90° rotation about the z-axis.

The first image shows a two-dimensional plot representing electron density of the 6hyz4 orbital (across the x=0 plane) and 6hxz4 orbital (across the y=0 plane). The second image is an interactive (see below for instructions) represention of electron density in three-dimensions for the same orbitals.

## 6hz3xy, 6hz3(x2–y2) electron "dot-density"

The 6hz3xy orbital is an abbreviation for 6h(2xy)(3z3zr2). The 6hz3(x2y2) orbital is an abbreviation for 6h(x2y3)(3z3zr2). These two orbitals are related to each other by a 45° rotation about the z-axis.

The first image shows a two-dimensional electron dot-density plot of the 6hz3xy across the y=0 plane. The electron density plot of the 6hz3(x2y2) orbital is identical in appearance but plotted through the x=y plane. The second image is an interactive (see below for instructions) represention of electron density in three-dimensions for the same orbitals.

## 6hz2y3 and 6hz2x3 electron "dot-density"

The 6hz2y3 is an abbreviation for 6hy(3x2y2)(9z2r2). The 6hz2x3 orbital is an abbreviation for 6hx(x2–3y2)(9z2r2). These two orbitals are related to each other by a 30° rotation about the z-axis.

The first image shows a two-dimensional electron dot-density plot of the 6hz2y3 orbital (across the x=0 plane. The 6hz2x3 electron density plot is identical when plotted across the y=0 plane. The second image is an interactive (see below for instructions) represention of electron density in three-dimensions for the same orbitals.

## 6hz(4x3y–4xy3) and 6hz(x4–6x2y2+y4) electron "dot-density"

The 6hz(4x3y–4xy3) and 6hz(x4–6x2y2+y4) orbital are related to each other by a 22.5° rotation about the z-axis.

The first image shows a two-dimensional electron dot-density plot of the 6h(x4+y4) orbital across the z=0 plane). The corresponding plot for the 6hxy(x2-y2) orbital is similar but rotated by 22.5° in the plane of your screen. The second image is an interactive (see below for instructions) represention of electron density in three-dimensions for the same orbitals.

## 6hyx4, and 6hxy4 electron "dot-density"

The 6hyx4 is an abbreviation for 6hy(5x4–10y2x2+y4) and 6hxy4 is an abbreviation for 6hx(x4–10y2x2+5y4). They are related to each other by a 18° rotation about the z-axis.

The first image shows a two-dimensional electron dot-density plot of the 6hyx4 orbital (across the z=0 plane. The 6hxy4 electron density plot is identical but rotated by a 18° rotation about the z-axis. The second image is an interactive (see below for instructions) represention of electron density in three-dimensions for the same orbitals.

### Using JSmol

You can use your mouse to manipulate the "orbital" in the "JSmol" image above. How you do this depends upon how you are viewing this page.

• On a computer, to rotate about the x and y directions, drag mouse around the image
• On a computer, to rotate about the z direction (which comes out of the screen towards you), hold shift and drag mouse horizontally
• To zoom, hold shift key down and drag mouse vertically
• To reset the image, hold down shift key and double click ony part of the image not containing dots
• On a mobile device experiment using one or two fingers to rotate and zoom

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