I got that single AA ultrafire thing, because i was to cheap to buy a good fenix of the same type.
and i am happy happy happy.
i ran some tests on it, and here is what i found out.
its designed for Alkalines, 1.5v and down type.
as the voltage drops so to does the output, as the voltage raises so to does the output.
you would never want to put a 4V li-ion in the SINGLE AA, because the led would not last for long.
with a alkaline it runs at (about) 1w and the heat is reasonable.
with a Lithium primary Cell even after much use (1.7v), it runs at (about) 1.5W and Heats up over time.
also being sorta self regulated, when the battery is low, it will be going slow , instead of leaving you in the dark.
so that works out pretty good, i can run an alkie or a ni-mhy in it , and it will run for a long time, kinda normally, or i can put a lithium in it, and use it intermittantally for a hot light.
if you want me to get more extensive in the volt input vrses drive current i could, because its just rough data, for my own uses. but it works for me.
i would have mentioned it before, but can you say Ultrafire on this forum
beware cheapskate crossing up ahead.