Dye sublimation is made by the process of well, sublimation. It is processed by sublimating the ink and making it easier to print things. Thus, printer ink came about. They take the ink and sublimate it by turning a solid into a gas without passing through the liquid state of matter. The dye does the same while printing things on a printer, especially pictures.

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Dye sublimation (correctly is dye diffusion) is used in printing.

Yes, the Canon SELPHY CP800 Color Dye sublimation printer can print id cards. It is listed as one of it's "Creative print options" on Amazon, and listed s being able to print in "Credit card size".

Dye sublimation is a printing method that uses heat transference onto plastics and other such media. Sublimation refers to the fact that the dye goes from a solid to a gas without ever becoming a liquid.