Hi Fenway;
Sorry to hear about your dilemma! An easy way to assess the situation is to take the drive out of the enclosure and hook up to a drive power cable inside of your desktop; turn on the PC. Hold your ear close to the drive; if you don't hear it spinning, you can forget about all the tools mentioned here; it's 99% unrecoverable at this point.

You must send out to professional Data Recovery specialists; very very expensive as Digerati correctly relayed to you.
I've done dozens of these over the years, and it's one of my specialties. However, if the drive is not spinning and the motor is gone or the r/w head or armature head; any mechanical or electronic failure; no software tools can recover stuff from it. It has to be disassembled as described by Digerati in a Clean Room (Class 10K or better). The last one of these I sent out was for my son's WD 750GB external which had 10 years of his life on there; music, docs, school, videos, movies, etc. etc. Cost me
$550 last May to get it done. Recovery was about 97% which is excellent!

But, very expensive, in fact it was his main birthday gift!

There are only 2 companies in the USA which are reliable enough to do this; post back and I'll be happy to provide you with their names and contact information if you are thinking that stuff is valuable enough to spend that kind of money to get it back.
I hate to see you waste months or years trying to use software tools which will be completely useless if that drive is not SPINNING!!
Best and see u soon,
<<<<BIGBEARJEDI>>>>