The 14500 rechargeable lithium is "lithium ion" and at 3.6 volts is in another league compared to the standard ~1.5 volts we normally associate with AA batteries.

Check the note at http://www.batteryjunction.com/protected-14500-lithium.html
Quote:
WARNING: THIS BATTERY IS NOT MEANT TO BE A DIRECT REPLACEMENT FOR AA ALKALINE/NIMH BATTERIES IN CONSUMER DEVICES. THESE LITHIUM ION BATTERIES OPERATE AT MORE THAN TWICE THE VOLTAGE OF AN ALKALINE BATTERY AND 3 TIMES THE VOLTAGE OF A NIMH CELL AND MAY DAMAGE OR DESTROY YOUR DEVICE.

Please note that rechargeable protected lithium ion cells are always bigger and longer than standard cells, please make sure they fit your device before purchasing.
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Okay, what’s your point??