Look at the figure below , it says for frequencies from 1 to 5 mHz . I put a 4 mHz xtal and even an 8 mHz xtal and it oscillated perfectly ( nothing more beautiful that looking at oscillations in a scope ) . I just bought a 1 mHz for $ 7.00 ( Amazon doesn't have 1 mhz xtals ) and it doesn't oscillate . Does some crystals needs specific connection ?. The diagram says from 1 to 5 mHz.

 

You, of course mean MHz (mega-Hertz), not mHz (milli-Hertz).

Yes, some crystals require a different load impedance than others, for proper oscillation.
The spec for the crystal should state that.

 

How do you know that it doesn't oscillate? Connecting your scope directly to this circuit may cause it to stall. You should have a small output amplifier to insure your scope or any downstream load doesn't interfere with your oscillator circuit.

 

How do you know that it doesn't oscillate? Connecting your scope directly to this circuit may cause it to stall. You should have a small output amplifier to insure your scope or any downstream load doesn't interfere with your oscillator circuit.

I am using a X10 probe.

 

You, of course mean MHz (mega-Hertz), not mHz (milli-Hertz).

Yes, some crystals require a different load impedance than others, for proper oscillation.
The spec for the crystal should state that.

Well it says 13 pF load. Now I realize that I have to replace the 100pf cap for 13 one. Would that solve the issue ?.

 

Well it says 13 pF load. Now I realize that I have to replace the 100pf cap for 13 one. Would that solve the issue ?.

If you notice, the schematic shows a variable 100pF capacitor so, if you have that, then you can adjust it to get the best oscillator output.

 

If you're doing this on a breadboard, you'll not have much luck because of all the capacitance of the breadboard.
Try on Vero board or perf-board and lay it out well with short connections if possible.