Just a quick video I found. I wish I knew how to download it to bring it to class to discuss.
It's a graphic representation of radiationless decay. It shows a molecule switching seemingly effortlessly from an excited state to the ground state at the conical intersection of the two relevant potential energy surfaces for that molecule.
hopefully the link works! If not, here's the url: http://wavepacket.sourceforge.net/Demos/ConicalInter/Linear/2/surface.mpg
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This would have gone well with the 'mathematics' part of your talk. For those with access to MATLAB, the script file for the video Ack linked to is here. That site has some other interesting visualisations uploaded as well.
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