Well those stones are used in your Unity stone slots. Ore boxes correspond to Ascension Stone which has fixed stats for each kind: Stellar: HP+AP; Earth: HP+CRIT DMG; Life: HP+MYSTIC, and it also boosts some specific skills of your class (like Lightning draw for BM). Radiance Stone boxes correspond to those 3 sorts of Radiance Stones just like Ascension Stone, but all of them each will have a fixed sub-stats and a main random stats instead of fixed ones. Stellar is AP fixed, Earth is Crit Dmg fixed, and Life is Mystic fixed. When you equipped those stones in Unity interface, you will also have additional set effects that depend on the quality and number of those stones that you equipped.
PS: Those stone's stats are not shared among characters.
Hope it helps you.