When detecting alpha radiation, it is nice to have frequent small sparks that represent individual alpha particles, rather than one large spark every now and then. To achieve this affect, I placed a 10 mega-Ohm high voltage resistor (from Vishay) on the high voltage output of my voltage multiplier. This makes each spark smaller, but it also enables a greater number of sparks at a time. The resistor also limits the current--larger currents might burn out the extremely thin wire grid. A normal-voltage resistor might possibly work, but it could fail under 10kV.
Before building the wire grid and plate assembly, I picked out a case for my project. Previously, I had gotten a sleek enclosure from OKW Enclosures, so I decided to use it in this project. Because the enclosure was an oval, I picked an oval-shaped piece of aluminum for my high voltage plate. I needed a good electrical connection for the high voltage, so I tried soldering to the aluminum. After many failed attempts, I found online instructions that suggested scratching the aluminum under a pool of molten solder. This eventually made the solder wet the aluminum, and soldering a wire to the plate underside was simple with that done. After sanding the top to a near-mirror finish, I used four bolts and springs to attach the plate to the enclosure top. The wire grid sits a few millimeters above the plate, and the bolts and springs let me adjust this distance so that the spark detector does not spark while idle. I adjust the bolts until the detector only sparks in the presence of alpha radiation.
As I put everything inside the enclosure, I tried to be sure that none of the high voltage (900V or 10kV) wire were close together or overlapping. When I finally applied power, I found out that the aluminum plate was too close to the copper pads. I sanded the plate's sides using 80 grit sandpaper, and eventually, I stopped the continuous sparking that had been I had noticed. Some of the wires had low spots that sparked even without alpha particles, so I gently pushed those up with a q-tip.