Most organic synthesis reactions can be quite complex because they have many different steps, so it takes time to purify your product at each step and work out if you have what you want
I do a few reactions that are very sensitive to moisture in the air and so the set-up for those is sometimes quite complex so that you don’t get air in your reaction. One of the chemicals I use explodes into a blue-green flame if in contact with air!
I think in terms of complexity it’d have to be trying to understand how fast each enzyme in a 3 enzyme mixture is working, which didn’t work out as planned.
Another complex one involved extracting mitochondria from yeast – so many different chemicals to preare and a lot of different steps to carry out – took most of the day to obtain a small white pellet of maybe 50 microlitres (0.05 of a millelitre!)
Personally I think that the most elegant experiments are the simplest ones, especially if you’ve given your design some though and use the experiment to prove your point.
The most complex experiments I’ve done were at a synchrotron (a ring-shaped device more than 700 metres in circumference which generates very strong x-rays). We were heating and cooling materials and following the changes within them using the x-rays
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