Not trying to be a grammar nazi, but LiPO is lithium polymer.
LiFePO4 is lithium Phosphate, also called FerroPhosphate battery.
LiPo:
positive electrode: LiCoO2 or LiMn2O4
Separator: Conducting polymer electrolyte (e.g., polyethyleneoxide, PEO)
negative electrode: Li or carbon-Li intercalation compound
LiFe or LiFePO4:
Cathode composition (weight)
90% C-LiFePO4, grade Phos-Dev-12
5% Carbon EBN-10-10 (superior graphite)
5% PVDF
Cell Configuration
Carbon-coated aluminium current collector 15
1.54 cm2 cathode
Electrolyte: Ethylene carbonate-Dimethyl carbonate (EC-DMC) 1-1 LiClO4 1M
Anode: Graphite or Hard Carbon with intercalated Metallic lithium
Lithium Ion: Oddly, both of the above are Lithium Ion batteries, and there are quite a few other chemistry's. The big issue with all lithium batteries, that lithium is heat sensitive and is spontaneously flammable exposed to air.