Originally Posted by
Muzzer
About gearing down steppers - the torque falls off very rapidly with increasing speed, so gearing the motors down 2:1 probably doesn't actually improve the torque to speak of, yet you will half the maximum speed. Hmm, that's actually made things worse. If you plot the power against speed, you will see that steppers are generally close to constant power, so gearing them doesn't help a lot. It's different for servos which have lower torque but a much better constant torque range, so benefit from gearing down.
If you are looking for good resolution, go for a driver that can achieve proper microsteps (but not too many of them). Or possibly a motor / driver that has an encoder so that it does what you are asking. Oh, wait a minute....
With a 2.5mm leadscrew and 200 steps (no microsteps), you'd get about 12um per step. With only a few microsteps you will be well past what a machine of this build can achieve. You'll be doing extremely well to get under 5um surely?