antimatter is also generated by other means like extremely high collision of particles, or lightning, plasma or a star. i think trek recycles the antimatter waste to generate more energy.
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in trek, its usually from deuterium, or whatever substance trek is similar to the name deuterium. trek, also has other races with different forms of power generation that doesnt use antimatter.
I can't recall a single time it's been referenced on-screen, but the TNG Technical Manual says they primarily get their antimatter from good, old-fashioned tankers that deliver antideuterium from generation facilities orbiting stars throughout the Federation.
On-board antimatter generation is possible, but is extremely inefficient, consuming 10 units of deuterium to produce one unit of antimatter, and is generally a last-resort option.
I like this stuff a lot - I think it makes the universe seem a bit grittier and less "magical" - and it's a shame we never really get to see it.
There was a time, mostly in the early seasons, where most episodes end with Picard ordering the ship to a Starbase.
Effectively, "Wow. That was busy. Time to fill er up after all that"
One of the things Gene was adamant about was not letting TNG lean on stories about running out of fuel. It had been done so many times in TOS. He wanted the 80-year gap to “solve” that issue.
This is also why the Enterprise-D can regenerate its dilithium. No more “OMG, we don’t have enough dilithium to go to warp!” moments. Which is why you have that moment in Relics when Scotty thinks the crystals are about to fracture and Geordi has to explain to him that they get regenerated inside the chamber.
So it does happen, the Enterprise regularly pulls into a station to get more anti-matter and deuterium, we just never see it because the show is suppose to be about more interesting things.
Like ghost candles.
I've only glanced at the technical manual, but I must've missed the part about the tankers. Makes sense and isn't far off from my assumption about generating it at starbases and refueling ships when they're docked.
On-board antimatter generation is possible, but is extremely inefficient, consuming 10 units of deuterium to produce one unit of antimatter, and is generally a last-resort option.
That part I do recall. Which is why I was thinking that, in Voyager's case with it being a more advanced ship, that the efficiency might have possibly improved to the point it was viable as a primary source. Or maybe "stranded 75,000 light years from home" counts as a last resort and why they seem to ration their deuterium supply.
I like this stuff a lot - I think it makes the universe seem a bit grittier and less "magical" - and it's a shame we never really get to see it.
Agreed. Deuterium can be collected from just about anywhere in space (nebulae being the most useful), dilithium is mined, but antimatter is just "there" as far as on-screen explanations go.

That's dark matter rather than antimatter, but I still lol'd. Unfortunately, joke answers aren't allowed in Daystrom (otherwise I'd have posted to the main Star Trek community).
I think prodigy mentioned it being created in an ion storm. So naturally occurring in space.
I think voyager mentioned it too on the class y planet with the silver puddles that cloned everyone. Might have been deuterium tho
I believe the Demon planet was deuterium. Prodigy I did catch on the second watch through (and confirmed in Memory Alpha). I guess my question is most related to if there's anything canonically stated as to where they get antimatter. AFAIK, PRO was the only reference to actually sourcing it. Otherwise it just seems like it's "there".
I always assumed that ships would be outfitted with enough concentrated anti-matter to last the expected lifespan of the ship, or at very least the mission they're on, then deuterium could be pumped in as needed to activate the warp core. I'm more curious how they store the antimatter. Do they keep it in a transporter buffer? Or some sort of magnetic/tractor containment system like holograms use? They couldn't just keep tanks made of anti-matter or else the whole question starts again (how do you keep the anti-matter from touching the matter the ship is made of.)
I always assumed that ships would be outfitted with enough concentrated anti-matter to last the expected lifespan of the ship, or at very least the mission they're on
I was thinking something like that, too. Kind of like how nuclear submarines are outfitted today.
I'm more curious how they store the antimatter
That one we do have answer for. There are antimatter pods that have built-in containment fields to prevent it from reacting with normal matter. In today's tech, it would basically have the antimatter inside a magnetic field in a vacuum chamber.
Oh cool, reading the memory alpha page about antimatter containment fields now!