The Chalice coral is one of the more popular corals (as of 2013) due to the amazing colors they have.
There are all sorts of color morphs out there and several different coral species that are commonly called Chalice corals.
Echinophyllia sp, Enchinopora sp., Oxypora sp, Pectinia, and several others.
You will often find chalice frags with names like Mummy Eye, Miami Hurricane, Acid Rain, etc.
These are various color morphs that certain frag traders and sellers have come up with as a way to keep the various color morphs straight and there is a little bit of marketing to this as well.
If you are interested in them and want to buy Chalice coral frags be prepared to put out some serious cash.