[a] According to the initial law of the Korean language, both "Im" and "Lim" are interchangeable.
The first clan branch is the Supul Rim (수풀 림, meaning "Forest-Rim") and its Hanja character is 林.
Members of this branch often write their names as both 임 (Im; more common) and 림 (Rim or Lim; initial law).
Members of this clan branch both write and pronounce their names as 임 (Im).
Statistics from the year 2000 show that there were 762,767 수풀 림 (林, Rim) and 172,726 맡길 임 (任, Im) in South Korea.