Yui is a very pretty name and used for lots of anime and manga characters...
I'm not Japanese though, so I would not use this name as it seems like it'd be too otaku-esque. It seems a bit hard to pronounce for those unfamiliar with Japanese sounds as well.
-- Anonymous User 9/24/2011
Yui Hirasawa is also a character in the K-ON! Anime & manga series :)