Here's a link to an article from batteryuniversity.com that talks about charging lithium ion batteries:
http://batteryuniversity.com/learn/a..._ion_batteries
elcreative is right--there is no reason to discharge lithium ion batteries completely. In fact, they have built in technology to stop them from fully discharging as this is actually bad for them. The only reason to run them down to close to zero once in a great while is that it helps make the battery power monitor on the device more accurate.
dordale