Iodine crystals are a pure substance.
They are homogeneous. But they are not a mixture, so they are a pure substance
Iodine is an element, so a pure substance, not a mixture, (so even not homogeneous).
Iodine is an element, so a pure substance, not a mixture, (so even not homogeneous).
Solid iodine can be found as pure crystals.
Solid iodine can be found as pure crystals.
Yes, it is heterogenous.
Iodine is soluble in carbon tetrachloride.
Well every school kid knows about the 'cold finger' separation technique. Iodine changes from a solid straight to a gas when heated. It sublimes. So heat the sand/iodine mixture in a pyrex tube or flask which has a 'cold finger' inserted. The hot iodine gas will rise, hit the cold finger and form pure solid iodine crystals on the cold finger. Collect from the finger. This really is bog standard school kid chemistry.
A Mixture. Just about everything in nature is a mixture; very few things are pure substances.
In order for something to be considered a change some sort of change must occur. A crystal is an object, not a type of change. Dark violet iodine crystals are pieces of relatively pure elemental iodine.
Tincture of iodine is a mixture of iodine dissolved in a potassium iodide solution. Iodine is the pure compound. At room temperate, iodine is quite unstable and tends to sublime. The tincture of iodine KI3 is used to stabilize iodine in certain experiments and as a reagent.
Tincture of iodine (2-7% potassium iodide or sodium iodide, and elemental iodine, dissolved in a mixture of ethanol and water) is available in many drugstores. Pure iodine is available through chemical suppliers.