Chris,
If you can’t remember about the discharge/recharge details, write it down – on a sticker stuck to the item in question.
Next, most Joe Public call single cells a battery – which they are not. I doubt you've ever seen a WWII anti-aircraft battery with one single gun? Only when more than a one cell is it a battery.
Rechargeables.
Lead/acid – best to never discharge below 50% (for most types) and recharging immediately, or soon, after using is an important factor for longevity. Automotive batteries should not even be allowed to discharge to 50%, these days – they are designed for minimum discharge but very high current output (the starter motor on a cold morning start). Recharged by constant voltage (due to gassing off if charged at a too high voltage – again for most types). Voltage is a good measure of state of charge for these cells.
Lithium Ion – Best used between 80% down to 20% for longevity, but can be charged to 100% (but definitely not above) and can be discharged to quite low levels (but never fully discharged). In both extremes, damage to the cell(s) will likely occur – particularly that of catching fire, for some chemistries). Discharge and recharge currents can be high, but generally constant current chargers are the order of the day. Think here electric car batteries – older types were limited to lower charging rates – and cars need high current discharge for rapid acceleration.
Most good batteries will have an electronic battery management system (BMS) to maintain the battery parameters to the safe usage limits (maximum and minimum voltage, maximum current drain, temperature control, frost protection, cell voltage balance across the battery and probably etc).
Nickel metal hydride (NMH) – Longish charge times (8h?), reasonable discharge rates, but cannot be completely discharged without damage or destruction. Serious over-charging will damage the cells (usually swell and can split).
NiCad – No longer available due to the Cadmium content. Used to be important to discharge fully before fully recharging – to avoid dendrite formation which kills them.
Nickel/Iron (NiFe) – can be very long-lived. Good for short term storage but self-discharge quite quickly. Not so efficient over the recharge/discharge cycle. But can last almost forever!
There are lots of other chemistries being developed. Lithium ion variants, I expect, are among your group of seven? Remind me of the others.🙂
Non-rechargeables
Lithium ion button cells – potential long life, lowish powers,
General button cells – various choices of chemistry, different capacities and life spans. A whole range of sizes for driving things like toys, digital calipers, LED torches, etc. The most common cells that are swallowed by infants and small children!
Alkaline cells – good for high power uses. Some can be carefully ‘recharged’ a limited amount, but not recommended. Recharging can cause them to over-heat, leak and even set on fire!
Zinc/Carbon – cheapest and oldest disposable cells. Use and discard. Lower power uses and special types for low current with long life are available (clock cells)
Air cells – typically as used in hearing aids. Safe, use once and discard without special concerns.
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They all have marketing hype which can be addressed by looking up the cell specifications (capacity, output, life expectancy, storage before use, etc. Not worth too much trouble as ‘you pays your money and….’.
With some typical Lithium workshop power tools the BMS can be onboard the battery or within the dedicated charger for that type of battery.
Separate cells, used in series, are best recharged separately
Got to stop, here, as my wife needs some milk for her breakfast.