Originally posted by amoringello This comment shows that you are not understanding the most basic concept of the issue.
Actually, he understands it fully.
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Stop making it out to be more complex than it is. We're not cropping. we're not enlarging.
I have no idea where the concept of enlarging or cropping ever came in
The initial question was about using a crop lens on a FF camera - assumption being that they're cropping in post or letting the camera's auto-crop work, vs. printing or displaying images with blacked-out corners.
As far as 'enlarging' goes, unless you're actively trying to keep your crops smaller all the time in output - display or print - your crops are getting 'enlarged' when you view or print them. Unless you, say, crop an 8x10 to 5x7 and then leave it at 5x7 thereafter and make sure you never allow yourself to view it at the same size as the original was in the preview pane.
I will re-iterate - cropping (and enlarging) DOES change the DOF in the resulting image. You can test this yourself, I can demonstrate it, some of the links that have been provided have images that demonstrate it, and some of the links describe why this is happening in more detail. If you have doubts (and that's OK) please follow the links.
Cropping/enlarging also affects the perceived noise in the resulting image, which, again, you can test yourself or consult multiple external sources that confirm this.
So to track back to the OP's question - using a crop lens on a FF camera (assuming you're cropping the results to aps-c dimensions and displaying at the same size, which is why you asked) turns your FF camera into an aps-c camera, in noise, DR, DOF, and FOV. Please, please don't listen to anyone who tries to tell you otherwise.
If you buy a FF camera thinking that cropping to aps-c doesn't affect things because it's still an 'FF camera', you've just wasted your money.
Now, here's something to consider - some 'aps-c' lenses cover more than the aps-c image circle, so you may only need to crop a little in post, like 1.2x (Some Nikon cameras have a 1.2x and 5:4 or 3:2 auto-crop option built in just because of those lenses,) and in some lens cases you may not have to crop at all if you can live with some slight vignetting. In those cases, your 'aps-c' lens becomes just a FF lens with 1.5x wider FOV, but (probably) fairly weak edges.
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