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.
Aren't you missing one capacitor? Also, you should separate the oscillator from other circuits by another inverter, otherwise you may be overloading it.