What are its properties, how expencive is it
I don't think the structure of quartz is going to allow you to actually dye it. Thin the best you can do is paint it with something transparent.
You can not dye quartz crystals. You can dye agates and you can dye cracked up agate/crystallized nuggets, but not crystals. You can coat them with colored tefflon! Or you can put them into a vacuum chamber and bombard them with vaporized elements, like gold and titanium, which will then bond onto the surface of the quartz. But, dyeing them will not work.