Chaotic evil is power without control, selfishness unfettered by any law.
A chaotic evil character does whatever his greed, hatred, and lust for destruction drive him to do. If he is simply out for whatever he can get, he is ruthless and brutal. If he is committed to the spread of evil and chaos, he is even worse. His plans are haphazard and any groups he joins or forms are poorly organized. Typically, chaotic evil people can be made to work together only by force, and their leader lasts only as long as he can thwart attempts to topple or assassinate him.
These characters will commit any act to further their own ends. Chaotic evil is sometimes called "demonic" because demons are the embodiment of chaotic evil.
Many serial killers would fit this description, as would indeed most of the more violent and reckless criminals found in the worst sorts of places.
Some characters in the Eberron setting identified as Chaotic Evil include:
|Lawful Good||Neutral Good||Chaotic Good|
|Lawful Neutral||(True) neutral||Chaotic Neutral|
|Lawful Evil||Neutral Evil||Chaotic Evil|