I found Omega partices in Bajor space in the mission "Crack in the Mirror" where you fight off Terran Empire ships before beaming to the mining facility and after the mining facility before you follow the I.S.S. Molly.
I can confirm the presence of the particles in the mission. Since I didn't have Bajor in my daily, I can't say for sure that collecting there would count for it, though.
Since the mission hasn't been fixed & from everybody saying they just keep getting the same area regardless of trying to restart it multiple times, it seemed kinda futile to bother with that so I looked around, found your suggestion and just wanted to say thank you! Because that worked!
Crazy that people have to figure stuff like that out but I guess if it works...
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http://sto-forum.perfectworld.com/showpost.php?p=22033581&postcount=241
Thanks for this. Devs, any way to get the particles without having to do the mission?
Just Play the Groundpart once for now and warp out after you got the minigame. If you dont discard the mission you can come back there.
Crazy that people have to figure stuff like that out but I guess if it works...