Thanks to all for the warnings, but I am aware of the dangers of high voltage and high current though a friendly reminder never hurts. I also realized my mistake of not adding a rectifier but I had already posted and was too lazy to edit the image. The application for this design was for an experiment that causes water to explode. If you run a voltage of more than about 3KV through water it will allow a large current to flow through. If enough current is passed through, the water essentially detonates. Since my capacitors were only rated for 450 volts, I thought that putting them in a series would allow me to get the voltages I need but I didn't try it because I didn't want to damage my capacitors.
Phrak, thanks for the great answers, but I am somewhat unclear about a few things. The first thing I am unsure about is the relationship between maximum voltage and leakage current. I think what your saying is that when the capacitors are charging, some leak more than others, which means that some get to their max. voltage before others reducing the amount of energy that can be stored. So to handle this problem we must balance the leakage so all of the capacitors charge up at the same rate. This seems to make sense but I just want to make sure. The second I didn't understand was what you meant by measure the voltage drop when you said, "If you're just making one or only a few of this design, you can determine the voltage each capacitor will obtain simply by charging the string to a lower voltage test voltage--say 30 volts and measure the voltage drop across each. The one with the greatest drop will limit the maximum value you can place across the string." Do you mean put them in series, charge them up to voltage x, and then measure the voltage across the terminals of each? This may seem like a stupid question, but I still have a lot to learn.