So, it the noise that starts the oscillations. Thanks Dana. So, the amplitude at the ends of the crystal differ?

Read post #9.
Why would you expect the signal on the two crystal pins to be the same?
I would expect the output pin to be larger amplitude and not a good sine wave.
The input pin gets the signal from the output pin as filtered by the crystal so I would expect a lower amplitude but a better sine wave.
All of this will be affected by connecting a 'scope probe so waht you see on the 'scope does not exactly reflect reality.

 

Read post #9.
Why would you expect the signal on the two crystal pins to be the same?
I would expect the output pin to be larger amplitude and not a good sine wave.
The input pin gets the signal from the output pin as filtered by the crystal so I would expect a lower amplitude but a better sine wave.
All of this will be affected by connecting a 'scope probe so waht you see on the 'scope does not exactly reflect reality.

Thank you.. Understood