You're going to have to wait a very long time for enough charge to build up in a capacitor to get it to click the relay. Once actuated, the capacitor will drain rapidly and the relay will open again. Sure there are latching relays, as you sort of described, but what good is switching a relay if you still don't have enough power to do anything else with it and you can only actuate that relay once every year or so? 100 microWatts is nothing. You can't get usable work out of it. Capacitors aren't magic and this battery isn't useful. The video I linked covers this well.
yeah betavoltaics are bland.
The Chad Chemical Batteries will always get all the hot devices because the Betavoltaic Cells are weak and are low-V. They are pretty much 'incells'. Haha, get it?
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