Thanks Dan. Confirms my testing this week. Reduced distance with the 12cm disc, which may or may not be caused by it, or by different reception conditions.
Anyway, think I'll take my 40cm square groundplane and cut it down to 30cm diameter and test that.
Found this on "another" forum:
Size - The diameter of the ground plane should be at least as large as the antenna height. More does not harm at all, but the increase in performance is hardly discernible.
Thickness - Thickness does not matter much. A tin foil would be sufficient, were it not for mechanical reasons better to use something from 0.5mm or thicker.
Conductivity - Conductivity does matter. Wood is useless, any metal will do. Differences in conductivity like between steel and copper are only discernible with very sensitive equipment. Go for steel, whether stainless or not.
Magnetic metal or not? - Since the base of the antenna is a magnet to be used on a steel car some people think that the magnetivity (sp?) of the metal does matter - it does not. So aluminium will do fine, as will brass or any other non magnetic metal.
Shape - Shape of the base plate does not matter, as long as it is at least one antenna height wide in any direction. A baking tray will do fine and is probably a very economic solution.
Even some horizontal wires or metallic tubes will do fine, it does not have to be solid. Install at least four, better six or more straight tubes, rods, threaded bolts or whatever at the base of the antenna. Distribute evenly. A narrow grid mesh is also a viable solution.
Angle of ground plane vs. antenna - The angle between the groundplane and the antenna affects the impedance (simplified: HF resistance, matching) of the antenna. This antenna is designed for a 90° angle, so go for that.