Old Mini External HD Doesn't Hook Up To My New Mini?

Hi All,

I just got a new Mac Mini and my "old" (2005) 160GB LaCie Mini External Firewire Mini Companion HD that I've been using on my "old" (2005) Mac Mini doesn't seem to want to hook up to my new Mac Mini. The plug is different...??

Am I out of luck with this 2005 HD or is there a converter cable available? Or...?

Thanks!

Fred