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I am looking for a model or at best the database of proton fluxes (solar p+) at a energy range of some eV up to 100 keV. I have already found the SOHO database:

http://umtof.umd.edu/pm/

But the most energetic p+ was something around 5 keV. Still, I need fluxes from 5 keV up to 100 keV.

Is there any database, and maybe a reference to a mathematical model?

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You can look at data from the ACE and Wind spacecraft at NASA's SPDF CDAWeb. Both of these spacecraft have solid state telescopes that go up to tens to thousands of keV for protons. The data is freely available to anyone.

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