Is there a equation to determine the relation ship between fan in/fan out and propagation delay in an CMOS inverter circuit or any general CMOS circuit.

 

i have never heard of a formula for that relationship, maybe one exists. i think you are always best to consult the spec data on each and every ic used.

 

Is there a equation to determine the relation ship between fan in/fan out and propagation delay in an CMOS inverter circuit or any general CMOS circuit.

Yes, it is:

Delay = (Logical effort x Fan out) + Parasitic delay

These variables are entirely gate and driven-load dependant.

Dave