That should be lithium iron phosphate, the cathode being iron based.
All our lithium batteries are lithium-ion (li-ion), that referring to the way they work.
When you see Cobalt or Manganese added, that's the cathode basis, like the iron in the first one above
When you see the word Polymer added, that's just a type of cell content construction.
First of those along was li-ion cobalt, worked well and said to be capable of 500 charges but proved to be prone to causing fires so discontinued.
The safer li-ion manganese replaced it but at first suffered from inadequate current supply capability, this now cured. Again said to be good for 500 charges.
The latest form of these uses the Polymer cell content construction and is hoped to be more reliable. This is now the type favoured by almost all e-bike manufacturers and distributors. Again 500 charge capability.
The lithium-iron phosphate (LiFePO4) mentioned at the start is thought to be the next generation battery but bike manufacturers are not yet convinced of some reliability aspects. In theory they are capable of around 2000 charges, but should easily manage 1000 and might even make 5000 charges in future. They are a bit larger and heavier than the current polymer batteries. They can be bought from independent suppliers to make up one's own battery and some forum members have done that.
P.S. Fecn got in first, but we've covered this in two different ways.
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