The AIS 180/2.8 ED does not have a recessed rear element so is is not compatible with the TC-14B or TC-14E series, it will only fit the TC-14A. The TC-14A is a "general purpose" TC designed for lenses 200mm and shorter. I haven't heard anything about the 180/2.8 ED/TC-14A combination specifically, but in general the TC-14A has a so-so reputation. I would regard it as a last resort option, with these shorter lenses it is generally better just to get the next lens up rather than add a TC. If you need a telephoto between 180mm and 400mm, you would be far better off with the AIS 300/4.5 IF-ED, or one of the newer AFS 300/4 lenses.
The P.C 400/5.6 is compatible with the TC-14B and will also work with modified TC-14E series converters. I have used my AI 400/5.6 ED (basically the same lens) with my TC-14B, with good results. I don't have experience with the TC-14E, being a newer TC you might expect improved performance but some lens/TC combinations work better than others.
The TC-14E has an extra tab on the mount which fits through an extra gap in the mount of the AFI and AFS super-telephoto lenses. This prevents it fitting lenses it is not compatible with. However it will fit older AF and manual focus lenses with recessed rear element, if the extra tab is removed. Since it is only removing a piece of metal from the mount, it has no other effect (apart from voiding warranty
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