The Electronic Structure of Homonuclear Diatomic Molecules


Mesh Plots

We can add significantly to the toplogy of our contours by turning them into mesh plots. A mesh plot elevates the contours by their order of magnitude perpendicular to the plane of the contours. Much like looking at a contour map of mountain, then actually looking at the mountain.

In the images that follow, green represents a value of zero. The colors shift from yellow to red as the elevation (electron density) increases; light blue to dark blue as the elevation decreases.

First lets look directly into the plane of the electron density of two non-interacting hydrogen atoms.

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This is simply a plot of the electron density along the nuclear axis. Now lets tilt the plane a little.

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Finally looking down on the plane, we see a colorized version of our first 2-dimensional contour map.

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The same three views follow for molecular hydrogen. Looking directly into the plane of the electron density.

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Again, we can compare this image with the plot of the electron density along the nuclear axis. Tilting the plane a little.

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And, looking down on the plane.

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Now for the density difference plots.

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We see a large lump between the nuclei. This lump is a the difference in electron density between molecular hydrogen and two seperate hydrogen atoms. It is effectively the bonding electron density. Tilting the plane a little reveals the blue regions of negative electron distribution. When the hydrogen atoms form a bond, electron density is pulled away from the outer regions and pulled into the bonding region.

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And, looking down on the plane.

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In the near future, I plan on expanding what I have into a large summary covering the diatomics from hydrogen through chlorine. To go back click here .