What PROOF is there that Babylon fell in 539 BCE?

Hey, I'm doing a little research on when Babylon fell. I'm only searching for proofs of how people know it fell in 539 BCE. Some people state it fell at another date other then 539 BC, but are there any reason's why other dates are wrong? Or how the evidence is against other... show more Hey,

I'm doing a little research on when Babylon fell. I'm only searching for proofs of how people know it fell in 539 BCE. Some people state it fell at another date other then 539 BC, but are there any reason's why other dates are wrong? Or how the evidence is against other dates?

Thanks!

(Please no comments on why it isn't 539 BCE, its not what I'm looking for!)
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