The AT X 116 is a newer model. DX indicates this is a DX/APC sensor sized lens, not a full 35mm format "FX" lens.
Changes are:
"The New Tokina AT-X 116 PRO DX-II is an update to the widely popular and award winning AT-X 116 PRO DX, 11-16 F/2.8 lens.
The main update to this lens is in the Nikon mount, the AT-X 116 PRO DX-II has an internal silent focusing motor to allow the lens to AF on Nikon bodies that do not have an AF drive gear and motor.
There have also been some adjustments made to the coating for slightly improved optical performance.
This compact ultra wide-angle zoom has a bright constant F/2.8 aperture make viewing and auto focus possible in lower light situations but still maintaining a reasonable size and weight. "
I have the original 11-16 lens, it works great with Nikon MB Spped Booster. On BM camera, you have to focus manually anyway, so,paying for,the new focus motor is not an upgrade. Coatings might be however.