ON THIS WIKI
By researching the different Transmutations you unlock the ability to make various items out of the aspects they are made of, though there is a slight loss.
 Gunpowder Transmutation
Gunpowder can be obtained by smelting 6 Fractus and 6 Ignis aspects together in the Crucible, with 5 vis from the wand. This offers ways to turn large amounts of basic resources, such as cobblestone and coal, into something potentially more useful. The overall aspect loss with this method is: 2 Fractus and 2 Ignis.
 Iron Transmutation
With the iron transmutation you can transform 2 Metallum aspects into 2 iron nuggets; essentially a 1 to 1 trade. This is notably useful because after creating an Infernal Furnace you will generally have iron bars left over, which you can transform back into iron. It should be noted that by crafting an iron ingot into 9 nuggets, you are increasing the number of Metallum aspects from 8 to 9. The overall aspect loss with this method is, assuming the nuggets are crafted into ingots: 1 Metallum.
 Gold Transmutation
This allows you to transform 1 Carus and 2 Metallum aspects into 2 gold nuggets. The overall aspect loss with this method is, assuming the nuggets are crafted into ingots: 1 Metallum, 1/2 Carus. Tip: In order to obtain infinite Carus, you can craft an Igneous Extruder, feed the cobble in to any furnace, and craft the resulting stone in to Chiseled Stone Bricks, which have 1 Carus each.