翡 is bound to 翡翠 ('jadeite'), China's most prized green gemstone. The word originally named the kingfisher: 翡 the red-feathered male, 翠 the green-feathered female; the gem took its name from the bird's brilliant colors.
羽 is the feather radical. The character originally named a brightly feathered kingfisher, so the feather radical points to the bird whose colors gave jadeite its name.
