Will an no contract iPhone work with virgin mobile?

I'm switching carriers soon, and I was considering Virgin Mobile. But the full priced iPhones scare me a little. I can't spend $450 on a 4S from Virgin so I was thinking about getting one on eBay. I was searching eBay and came across a new term, "no contract iPhone." Some of them said "AT&T no-contract iPhone."
Will any of these work on Virgin Mobile?
What absolutely won't and what will?
Do you know of any websites that offer refurbished Virgin Mobile phones?

"No-Contract" phones, though they are the same price as unlocked, do not come unlocked.No-Contract means that the phone can only be used on a single carrier.
Yes, http://www.thefind.com/electronics/info-refurbished-virgin-mobile-phones

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