From Elena's Fortune, fly S, E, S, E, S, and you are there. The gate to the sector can be clearly seen to the south of the west gate in Nopileos' Memorial. If you can, save before passing this gate, it's getting hairy.

Inside you meet a ton of people. They will help without encouragement from you. Go to the center of the sector and you will see some crates floating around. Your job is to survive and pick up these crates. So first kill the Xenons that are running around the crates, then pick up a crate. Don't bother with the missiles, only pick the ones called "crate". One of them is the black crystal. I found it after picking up 4 of them.

Once Julian says he has it, get out of there and back to the Goner Temple.

The route from Xenon Sector 101 is: N, W, N, W, N, W, W, S, S, W.