There are three main types of Lithium chemistry batteries which we use in vaping:
IMR are also known as safer chemistry, high drain, or Li-Mn. These are the removeable rechargeable batteries for Advanced Personal Vaporizers. These differ from ICR chemistry in that they have more amp output, but less mAh (capacity). When sub-ohming (coil resistance less than 1.0 ohm), amps is a much higher priority than capacity if we wish to keep all of our fingers and face intact.
ICR batteries were the replaceable, rechargeable batteries initially used in Advanced Personal Vaporizers a couple of years ago. They are not high drain (only about 3 - 4 amps output), so they are not at all suitable for rebuildables (sub-ohm). ICR batteries are no longer recommended for mods for safety reasons. They are not safer chemistry (they have the potential to vent flames and possibly explode).
LiFePo chemistry batteries are the non-removeable, rechargeable batteries found in APV's like the MVP and iStick.
For more info on mod batteries, visit my
Baditude's Blog. Be sure to read
Battery Basics for Mods: IMR vs ICR?,
Deeper Understanding of Mod Batteries, and
Explain It To the Noob: Ohm's Law Calculations.
Choose the specific battery you use for your specific application. A battery with a higher capacity in mAh is not necessarily a better battery than one with a higher continuous discharge rate (amps rating). Other factors come into play.
For you particular needs OP, you need to base what battery you choose based on the
continuous discharge rate in amps since you are vaping under 1.0 ohm; meaning you need a high amp output battery of at least 20 amps continuous. There are a few models available with 20 amps continuous with 2500mah, which is about the best you will find in today's battery market.