Can graphene work in outer space?

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I had a random idea and wanted to know whether graphene could retain it's conductive properties after being exposed to cosmic rays.

I know that graphene gets it's conductivity from the free electrons from its carbon atoms.
I know that cosmic rays consist mainly of protons, with the minority being heavier positive nuclei, traveling near the speed of light at energies of around 1 GeV/c.

Would this affect graphene's conductive property in any way?
 
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Cosmic rays would introduce defects in graphene (and any other solid material) over time. I don't know how quickly that would influence the conductivity.
 
How exactly would defects affect graphene's conductivity?
 
Anything here in the Earth feel the cosmic ray effects
 

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