Do the li-ion rechargeable batteries have high output longer than others?
regular lithium disposables? Alkaline?
The short answer is yes. The current state of the art batteries are 5000 mAh 21700 cells, but while these are available in headlamps, they are fairly massive for that purpose, and not something I’d want hanging on my noggin, if I could at all avoid it.
My Fenix PD36 TAC uses a 5000 mAh 21700 and is rated to run for over 10 hours at 350 lumens, which gives a beam distance of 302 feet. The Fenix HM70R headlamp has a 500 lumen mode with a beam distance of 325 feet that runs for 6 hours. The HM70R weights 7.27 oz with the battery installed. But, that’s their newest model. You won’t find much out there, if anything, that beats it.