Quick formula relating telescope size (again, the "aperture" or physical diameter of the mirror/lens) and diffraction limits:
The Diffraction Limit of a Telescopes
It is expressed as the smallest angular extent that can be distinguished in principal by the instrument, for example the minimum angular distance that two stars will appear separate rather than an elongated blob.
Regarding focal ratios and apertures, a quote from the following site: "Photographic f/stops are irrelevant to visual observers. Clear aperture and magnification determine visual brightness (exit pupil)."
http://www.chuckhawks.com/telescope_focal_length.htm
Magnification adds in the eyepiece of the 'scope, which can complicate things.
Anyway, I don't know if that's what you were looking for, but there it is. It's kind of funny how astronomers and photographers use the same terminology for their optics, but the practical considerations are very different!