As for anhydrite, gypsum, and
cement...
Anhydrite products are mainly composed of calcium sulfate, and gypsum products are mainly composed of calcium sulfate dihydrate. When anhydrite is exposed to water, it forms gypsum, or in other words, it hydrates. Essentially, it cures, but not to the same extent as
cement.
Gypsum always has a proportion on anhydrite crystals left in it.
Cement has a proportion of calcium aluminate. Calcium aluminate reacts with calcium sulfate, which is the main component of anhydrite products, and which is present in gypsum. The reaction forms
hexacalcium aluminate trisulfate hydrate; in other words,
ettringite crystals. These expand, and pushes away anything which is fixed onto where they form.
As I've previously explained,
cement cures, which means it binds water through hydrolysis. That means water is always present in
cement. If anhydrite is put into direct contact with
cement, there will be a reaction. The reaction won't be as severe with gypsum, as it's already hydrated most of the anhydrite (the dihydrate part), but there is still some present.
Thus, if you want to
tile onto such products, you will need to separate them entirely. This is best done with a products which seals, and which is also water resistant, such as acryllic dispersions. Even if you use water resistant "PVA", the separation will deteriorate with time, due to the chemical reaction between the
cement, which is alkaline, and the polyvinyl acetate. If the bond of the
cement onto the substrate hasn't already been compromised because of that, the formation of ettringite crystals will very likely cause complete debonding.
In the words of Cliff Anger:
Calcium sulphate and portland
cement are not compatable - a whilst a failure is not guaranteed it is a real possibility. Over time ettringite crystals may appear and as they expand will cause the tiles to lift and de-bond. It may well take several months to determine how bad the reaction might be.
And oh; I'm not an expert on this subject. I've merely researched a bit so that I could form an opinion
And oh again; Rapidly curing cements may have some gypsum added when manufactured. It accelerates the curing, but does not affect the integrity of the product, because it's present in such small quantites, and during the early stages of curing.