Inside that LaCie external harddrive's enclosure is a regular SATA harddrive.
The kind that fits in a desktop computer (3.5 inches in width), or laptop. (2.5 inches across in width)
Open the external enclosure (Case) of the LaCie, remove the harddrive, and install it into a suitable external enclosure.
(Laptop size, or desktop size)
The external enclosure has a USB cable also. Just plug it into any available USB port on your desktop computer.
Do I know for a fact that the harddrive is okay, and this will fix the problem?
No sir/maam I do not.
But IMHO this is the first diagnostic method to use.
IF the harddrive is a desktop sized harddrive, it could be installed in your desktop computer as a Slave drive.
However the above method is so much easier, and it allows your harddrive to be an external harddrive once more.
Inside the external enclosure of the LaCie external harddrive, is a small circuit board that the Harddrive plugs into.
It is this small circuit board that receives the damage in most cases.
If the problem is the Harddrive itself, a professional data recovery shop will;
A) Try a new, or good used harddrive circuit board.
Check to see if the harddrive's circuit board received the damage.
B) If the circuit board proves to be good then the next step is to remove the Platters inside.
The room used is a Clean Room.
A room that is 99.9 percent dust free. (In most cases)
The Platters are installed into the case of a compatible harddrive, that has the Platters removed.
Then as much information as possible is copied off.
There are other methods data recovery specialists use also.
[A Harddrive is built in a Clean Room. 99.9 percent dust free. The technicians wear a Clean Suit, that resembles what a doctor would wear in an operating room.
They enter the work area after going through a corridor, fitted with air jets at various levels.
If a harddrive is opened up in a room that is not a Clean Room, the harddrive's 'life expectency' drops to a day, or a few hours. The dust 'kills' them ]http://computer.howstuffworks.com/hard-disk.htmhttp://www.youtube.com/watch?v=gpY8c7lT_7k&feature=relatedhttp://www.youtube.com/watch?v=ax390l2A-AY
Observe the other videos also.
Examples of both a SATA 2.5 external enclosure, and a SATA 3.5 SATA enclosure,
(The Harddrive's width is measured in inches. (2-1/2 inches for a laptop drive, 3-1/2 inches for a desktop drive)
SATA 2.5 external enclosure,http://www.tigerdirect.com/applications/SearchTools/item-details.asp?EdpNo=3195233&CatId=2783
SATA 3.5 external enclosure,http://www.tigerdirect.com/applications/SearchTools/item-details.asp?EdpNo=4421576&CatId=2780
For additional questions please post in a Comment.