On to a Pierce oscillator, or at least that what this is supposed to be. The oscillation dies down after about 10s, but until then I am getting good range from the coil (L1), with the LED tags lighting up at about 1cm from the coil.

The values of RFC, C2 and C3 are pure guesswork. 'RFC' is not really an RFC, it is just an inductor I happened to have lying around. C2 I set to 2x the load capacitance, minus a bit for stray capacitance. I also tried 1x the load capacitance and I also tried nothing - it doesn't make any difference. C3 was just a capacitor I happened to have lying around.
So I have a couple of questions:
- How do I calculate what values these things should have?
- Why do the oscillations die out?