Short Answer:
While almost any kind of AA sized battery works with your Shearwater Perdix, the standard 3.7V Li-Ion battery (the type found in stores around the world) works best.
Long Answer:
There are numerous types of AA sized batteries that will work in your Shearwater Perdix, read below for more details.
Saft
The Saft 3.6V LS14500 battery (used by the Shearwater Predator) is also a good choice, primarily because it has the longest usable life (130 hours on medium brightness). However they are:
A) Expensive
B) Hard to find
C) Sensitive to temperature and storage conditions
In addition they are incompatible with the new “Fuel Gauge” feature so only three levels are given: Full, Low (Yellow) and Critical (Red).
Li-Ion - Rechargeable
The 3.7V Li-Ion 14500 battery is a good choice that can be purchased online. The AW brand is recommended and typically high quality. The brands Trustfire and Ultrafire can be good, but seem to come from a wider variety of sources and many users report getting duds. The Li-Ion batteries give about 40 hours per charge and are compatible with the new “Fuel Gauge” feature. Note that these batteries are actually about 4.2V when fully charged. Some brands of Li-Ion rechargeable include a protection circuit that extends the battery significantly beyond the 14500 standard 50mm. The Perdix is confirmed to work with batteries up to 52mm in length. Longer batteries may not allow the battery compartment to fully seal. Do not dive with a battery that prevents the battery cap from screwing all the way down.
NiMH - Rechargeable
The 1.2V NiMH battery can also be used. These are commonly used in photo flashes and digital cameras, and can be purchased in most electronics stores. About 35 hours per charge can be expected. We recommend using the low self-discharge models typically labeled as “pre-charged”, “ready charged”, “stay charged” etc. and have capacities around 2000mAh. The older style high self-discharge batteries have higher capacities (around 2800mAh) but are not recommended. They will work, but will go dead in a few weeks just sitting on the shelf. Also, all NiMH batteries are incompatible with the new “Fuel Gauge” feature so only three levels are given: Full, Low (Yellow) and Critical (Red). If you have these batteries already from your photo flash, feel free to use them. However we do not recommend buying them for the Perdix as better choices are available.
Photo Lithium 1.5V
These are the best choice for cold water divers. Sold as the Energizer brand Advanced Lithium and Ultimate Lithium batteries. The 1.5V Photo Lithium batteries offer almost double the run time in a Perdix when compared to an alkaline battery. However they can cost about 4X as much as an Alkaline. They are a good choice if you want longer run time than alkaline batteries provide or if diving in waters colder than 8 degrees Celsius (46 degrees Fahrenheit) . They can be found in most department stores or electronics stores and also in many drug stores.
Zinc-Carbon 1.5V
1.5V Zinc-Carbon batteries are el-cheapo batteries commonly found in dollar stores. Although they work, they only provide about 10 to 15 hours and so are not recommended. However if they are all you can get on a tropical island somewhere, feel free to use them. Set the Perdix battery type to “1.5V Alkaline” when using zinc-carbon batteries.