I am having a problem with Pierce oscillator designed to work with my SMART Card reader. I am using 3.58MHz oscillator, 74HCU04 gate IC for the NOT gate, and both 22pF capacitor and 1Mohm resistor. I was unable to get any clock pulse.
The Pierce oscillator requires two capacitors! See this circuit.
The capacitor values depend on the crystal load capacitance; they are effectively in series so you need roughly twice the value of the load capacitance. You need to allow for stray capacitance.