I tried a Lithium Ion battery on my Carpentered R3. With the 11.8:1 pistons, the stock battery was not up to the task unless it fired up immediately..
The Lithium battery would crank it much faster but would give up far faster than a standard battery.
Expensive and it seemed too good to be true that this battery weighed 2.5 lbs. with all that power.
Well, it turns out that If I turned the ignition on for more than a minute, it would not be able to turn the motor over. There was no real reserve power in it.
I did two things: I removed my stock air filter and moved it to an under tank location, installed a full sized AGM (330 CCA) and a smaller Harley Sportster battery (200 CCA) in the previous air box, wired them in parallel and changed all of the cables including the ground to #1 welder's cables....expensive but I never have a thought about whether or not the bike will start.
Always on a battery tender when not in use.
As an interesting sideline about battery longevity...I bought a 2007 Big Dog Limited edition with 4500 miles on it last year. The bike had the ORIGINAL battery in it and still cranked the 117" S&S motor over easily. Always on a tender.
I could not believe it but there it was...a seven year old standard battery working perfectly. I am amazed how long some batteries last although I get paranoid after two years. Of course, I replaced it just because.