Best standard soundproofing material ?

Foam rubber from a fabric store/Micheals would work. You would not need the particle board either. Measure the window and the thickness and have some one cut it for you. I will not comment on what it will look like to your neighbors. Or for that matter inside

Concrete board. The heavier the material the better it will reduce the transmitted sounds.

I would use rigid Styrofoam, it cuts quite easily with a utility knife. I would use it alone depending on friction fit without the particle board. You would get 2 pieces out of one 4x8 sheet. If you are going to glue it to itself or anything else, make sure to buy the panel adhesive for foam, the regular stuff will eat it. DAMHIKT.

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noise etc.

and it can be

What is uses commercially is a fibrous stuff like fiberglass insulation covered by a dense, resilient membrane. One good membrane is lead loaded vinyl. Some applications that can't use lead use barium loaded vinyl which is expensive.

Stuff old clothes in there.

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Death to the Supreme Court.

Mass is the key. Things like fiberglass, styrofoam, etc. will not stop transmitted sound effectively. Cement board, wallboard, particle board are the best cheapest materials. Just make sure it is well secured. If you want to get fancy, you could glue together a sandwich with two layers of wallboard and a layer of fiberboard in the middle.

The link to what you need to know is at:

BJ