What type of the battery has a memory effect?

A few types of rechargeable batteries have what is called a "memory effect". The "memory effect" causes a loss of charge capacity in some rechargeable batteries if they are repeatedly recharged at exactly the same point on their discharge curve. When this "short cycle" discharge then recharge has happened enough times, the battery only retains the charge capacity between full charge and the point it was discharged to, it can no longer be discharged below that and will drop to zero voltage instantly.

The most notorious for this problem are nickel cadmium batteries, however even in them it had been shown that normal real world use does not produce a true "memory effect" in them and almost all failures attributed to nickel cadmium "memory effect" were really caused by other mechanisms.