Unlocked American Iphone 5 - work in Germany?

I have a factory unlocked iphone 5 purchased from the apple store.

i would like to know if it would work flawlessly in Germany if i brought it to my mom as a gift. The fact that it uses specific frequencies…
(i'm worried about the 4g part) can someone give me information about the carriers' in germany. I wil

thanks

Added (1). I know it will work. But i need to know if it will b the same deal like it is with tmobile sim cards… The fact that it doesn't give you 3g or 4g service. Just edge

It will work in any country that supports GSM, as long as you didn't specifically ask for a CDMA version. This model number (A1428) is the GSM and will work anywhere in the world with any carrier.

It will work if it is factory unlocked.

Of course it would… Once the device is factory unlocked it will work with any gsm/ hspa network

its very very very simple…
spend $5 and a few mins…
http://www.ebay.com/...0984052698
don't' need ebay or paypal accounts either.