Completing the Chapter 4 mission Wyvern Sparks and Rose Thorns unlocks the ability to forge Artian Weapons. These are special weapons that require three Artian Materials to craft. These materials fall into four categories, Blade, Device, Disc and Tube, and each weapon type requires a different combination.
Every Artian Material has an Element Type attached to it; craft using at least two materials of one element to guarantee that element. Three of the same type will provide an even greater element stat increase. The materials also have an Artian Bonus, either Attack Infusion or Affinity Infusion, which increases the respective stat.
Reinforce Artian Weapons by selecting Reinforce/Dismantle Artian Weapons in Gemma’s menu. This requires Reinforcement Materials, obtained from Nata or Roqul in Azuz via the Festival Shares option. Each time you level up, the Artian Weapon receives Reinforcement Bonus, such as an attack or element boost, up to a maximum of five bonuses.
It's also possible to dismantle an Artian Weapon, but you will only receive the Reinforcement Materials you invested, not the Artian Materials.
*Note that all Artian Materials must be of the same rarity.