batteries have extremely low internal resistance.
What you're talking about, Aqua, is the cell's internal resistance. That is what controls the maximum discharge rate - the cell produces heat as it discharges from that resistance (the internal drop in the cell) which, if it gets out of control, will damage it.
Alkaline batteries have a relatively high internal resistance. NiCADs and NiMH batteries have an EXTREMELY low internal resistance, to the point that you can start fires or even get them to expode if you short them out and they are fully charged. Alkalines won't do that, primarily due to their higher resistance.
BTW, internal resistance is a fairly accurate negative correlation on self-discharge rate. The lower, the faster. This is why alkalines will last years on the shelf, but your NiCADs will be completely flat in two to three months in storage.
Both NiMH and NiCADs like to be discharged fully. The problem is that you can't do that in a battery pack, because there is always one cell that is weaker than the others (even if by just a bit). What happens is that the weak cell ends up becoming exhausted and it is reverse-charged - this is extremely damaging as it will almost immediately produce an internal short in the cell, destroying it. What this means is that ideally you would charge each cell INDIVIDUALLY (which none of the chargers do - most charge 2 cells in series, a few charge 4) which would top them off independantly. This inherent imbalance, by the way, is the reason for the 80% "safe" burn restriction - it prevents a reverse-charge on one of the cells. By the time you notice a light going yellow on you its a good bet you're impressing a reverse-charge voltage on one of the cells - bad karma.
NiCADs have the memory effect too which makes for russain-roulette - if you don't fully discharge, you drop their capacity over time! NiMH batteries don't have that problem and as such are "safer" in this regard. I recommend them over NiCADs for most applications for this reason - just be aware that the price for this flexability with discharge profiles is that they do have a shorter cycle life (number of cycles before they die completely).
Decent NiMH cells should tolerate 200 cycles or so before their capacity is degraded by more than 20% or so. NiCADs might get you 300. Considering that "C"s are roughly a buck a piece, and the NiMH 3500 Mah Cs are $7 or so in "no-name" brand, its not hard to do the math on them. If you get 10 cycles out of them you're ahead of the game. Get 20 and the charger is free
Occasionally NiCADs can be "brought back to life" after being abused if you have a BIG capacitor. You charge it up and good and then "dump" it into the battery. The HUGE current surge literally burns off the electrolyte material that is causing the short! You need to be careful doing this though - its not an entirely risk-free procedure; I think you can figure out the possible failure modes :boom: I have no idea if NiMH batteries are similarly amenable to this treatment; I've yet to kill one in this fashion.