Ran across this nicely concise explanation, entitled "Chaotic Evil Done Right".
"It' s not about greed, or lust, or any other simple sin.
It' s about doing what you want, when you want, how you want to whomever you
want, and making no excuses to anyone for anything.
If someone wants to stop you, they better be ready to kill you.""
Petty much says it all.
Oh: And the picture accompanying this was The Joker from "Dark Knight". Rather appropriate.