If the laptop has been pre-configured by the manufacturer to accept
more than one type of rechargeable battery, then the answer is yes.
The different types of batteries requires a different charging patterns
to be properly recharged and used in the laptop. Always refer to your
laptop computer manual or contact your manufacturer to find out which
battery types can be used in your laptop.
Nickel Cadmium (NiCad,NiCd), Nickel Metal Hydride (NiMH) and Lithium
Ion (LiIon, Li-Ion) are the three major types. Due to health and safety
and inefficencies, Nickel Cadmium and Nickel Metal Hydride batteries
are either discontinued or in the process of being discontinued.
Lithium Ion is relatively new and popular type. There is an even newer
type, Litium Polymer Ion or Lithium Polymer. This is much more
efficient and offers better power to weight ratio.