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.

6h_z⁵ electron "dot-density"

The 6h_z⁵ orbital name is an abbreviation for 5h_{z(63z⁴ - 70z²r² + 15r⁴)}.

The first image shows a two-dimensional electron dot-density plot of the 6h_z⁵ (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.

6h_yz⁴ and 6h_xz⁴ electron "dot-density"

The 6h_yz⁴ orbital name is an abbreviation for 6h_{y(21z⁴–14z²r²+r⁴)}. The 6h_xz⁴ orbital name is an abbreviation for 6h_{x(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 6h_yz⁴ orbital (across the x=0 plane) and 6h_xz⁴ 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.

6h_z³xy, 6h_{z³(x²–y²)} electron "dot-density"

The 6h_z³xy orbital is an abbreviation for 6h_{(2xy)(3z³–zr²)}. The 6h_{z³(x²–y²)} orbital is an abbreviation for 6h_{(x²–y³)(3z³–zr²)}. 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 6h_z³xy across the y=0 plane. The electron density plot of the 6h_{z³(x²–y²)} 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.

6h_z²y³ and 6h_z²x³ electron "dot-density"

The 6h_z²y³ is an abbreviation for 6h_{y(3x²–y²)(9z²–r²)}. The 6h_z²x³ orbital is an abbreviation for 6h_{x(x²–3y²)(9z²–r²)}. 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 6h_z²y³ orbital (across the x=0 plane. The 6h_z²x³ 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.

6h_{z(4x³y–4xy³)} and 6h_{z(x⁴–6x²y²+y⁴)} electron "dot-density"

The 6h_{z(4x³y–4xy³)} and 6h_{z(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 6h_xy(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.

6h_yx⁴, and 6h_xy⁴ electron "dot-density"

The 6h_yx⁴ is an abbreviation for 6h_{y(5x⁴–10y²x²+y⁴)} and 6h_xy⁴ is an abbreviation for 6h_{x(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 6h_yx⁴ orbital (across the z=0 plane. The 6h_xy⁴ 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