AA Rechargeable Li-Ion Batteries for headlamp

I want to use this 3.7v AA size battery in the MYO RXP headlamp. http://www.batteryspace.com/Li-ion-14500-Cylindrical-Rechargeable-Cell-3... Is the headlamp able to take this high voltage battery? Alternately, there is this: http://www.batteryspace.com/Sanyo-AA-1.2V-2700mAh-NiMH-rechargeable-batt... For all who are wondering: The weight savings in grams would be 24g The NiMH battery solution would give 8100mAH The Li-Ion solution would give 2250mAH A 5850 net loss of mAH for 24g weight savings.

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