A separator for a battery in lithium. The separator is a thick membrane, of around 60 to 120 μm in polyvinylidene fluoride copolymer, which has considerable porosity, of around 50 to 90%, with pores of size between 1 and 10 μm. With these characteristics, it is possible to optimize the operation of a battery with an electrode in, e.g., Li4Ti5O12, in particular for rapid charges and discharges, in other words in power applications.