Can Ozone (O$_3$) form in a vacuum and if so can it deflect solar radiation I am working on a geoengineering/space infrastructure project and part of that includes the possibility of using oxygen mined from the moon (specifically lunar regolith) to cause ballistic objects to spin spreading particles in a loose shield to reflect sunlight. The material would all be collected back on the moon which would intercept the orbit of the material. However, as ozone is just 3 oxygen atoms that connect together in the presence of sunlight, would releasing clouds of oxygen in a way that pushes the clouds together allow the formation of O$_3$, even temporarily?

If this would work, would O$_3$ free-floating in very loose clouds in space help deflect solar radiation at all?

This is part of a larger project to create targeted shading effects to produce a limited risk effect on the earth like regrowing ice sheets. There are a lot of reasons for people to find this project silly but all the research I have done continues to support it in new and interesting ways and any concerns people have raised so far have theoretical solutions. So please don't take time to simply criticize without providing meaningful feedback.
If this would work, would $O_3$ free-floating in very loose clouds in space help deflect solar radiation at all?


No, for many reasons:


Your cloud will disperse. That's what gases do in vacuum.
And then the dispersed cloud will get swept away by radiation pressure and the solar wind.
So you'll have to be constantly replenishing your loose cloud.
There are 3 billion metric tons of ozone in the Earth's atmosphere.
Compare that huge quantity with the 380.95 kilograms of lunar rock brought back by the six Apollo missions that landed on the Moon, or the 0.401 kilograms retrieved by Russia's unmanned Luna missions.


The engineering feat you are proposing is more than six orders of magnitude larger than anything humankind has done with regard to space. The Apollo program peak cost was a bit less than 5% of the total US federal budget. A factor of ten (one order of magnitude) larger scope would be far beyond the capabilities of the US government. Even with the entire world pitching in, a two order of magnitude increase would be nearly impossible. A six order of magnitude increase is economically impossible.

The worst part: Even if successful, your cloud won't do much. Oxygen in all its forms (atomic oxygen, molecular oxygen, and ozone) is nicely transparent in the frequency range where sunlight is at its peak. Evidence: You can see the stars on a clear night.