In certain solvents, molecular bromine, Br2, cracks apart into plus and minus ions: bromide and bromonium (note the cool use of the "ium" suffix for the positively charged ion):
Br—Br —> Br- + Br+
Now Br2 will add to ethylene to make ethylene dibromide, a useful pesticide, but the bromine and ethylene can't simply couple because it's forbidden. Instead, bromonium ion approaches ethylene, sucking at and polarizing her most available electrons (recall I deduced that ethylene was female here). Bromonium's negatively charged doppelgänger (umpolung!) then backside attacks the polarized ethylene, after which her electrons collapse into bromonium's clutches and the partners relax. Here's a visual:
Whew, Chickie.
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