It sounds like you need a dual-voltage power supply. There really
isn't such a thing as "negative" voltage... for example if you have a
9V power supply, you could say that 4.5V is a "virtual ground", and
then 0V would appear as "negative" relative to your "virtual ground",
and the 9V wire would appear like 4.5V relative to "virtual ground"
(again, which is actually 4.5V relative to 0V wire).
A simple circuit is shown here, though you can get more complex ICs
that are more efficient, this has few parts and is simple:
http://electronics.stackexchange.com/a/79317/34413
So with something like that in place, you connect your arduino GND pin
to the "virtual ground" and the PWR pin to the "virtual 4.5V"
(assuming you have a 5V tolerant Arduino). Then using transistors, you
can pulse your analysis cell with your "positive" and "negative"
polarity pulses.
Stripping voltammetry is another interesting and related technique,
where you hold a voltage for some time, then slowly alter the voltage
and watch the current response... basically you plate ions to the
electrode, and then slowly drive them off. There are characteristic
current curves, since different ions electrolyse at different
voltages, so you can determine minute amounts of metals and their
concentrations (if you have standards to calibrate against). There are
also interesting impedance spectrometry techniques... where you
generate an electrical wave, watch the current flowing, then do this
while changing/scanning through a range of frequencies. Lots of neat
stuff! It's all electron interactions at some point! So might as well
learn to use them!
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