That is a great looking Acropora and I am guessing a deepwater variety, maybe ORA Purple Nana? In terms of what is making the coral STN there can be a multitude of reasons: water chemistry, some other coral irratating the base of this coral, a pest of some sort eating and irratating it, flow too low, light intensity not quite right, harmful bacteria. The usual interogation that happens on R2R is trying to get specific idea of what conditions the coral is under right now like Salinity, Alk, Nitrates, Phosphates etc... You may have your parameters in the right range but if they are different than the previous home for these corals they can get stressed and have this die off reaction.
Taking this slow on the questions instead of hitting you with everything someone would need to know I will start with the following:
1) Are there other happy Acropora in the tank before introducing these guys?
2) Is there plenty of flow on these corals?
3) If you take a magnifying glass or super zoom into the base of the coral with a macro lens can you see any pests near the base eating...like flatworms?
There are a million more questions we can go to next if the answer to 1 is no and will start looking closely at water chemistry. If there are flatworms (#3) on the coral and they weren't killed by a dip it likely won't matter what the water parameters are.
Let me know and I am sure others will chime in with all the other things they need to know to give a diagnosis.
Good luck either way.