Which brake pads for carbon rims perform also good on alu rims?
Campagnolo good
Corima ?
Koolstop ?
others

corima is verry good !!!!

According to the people at Reynolds the two rims have completely different needs in terms of heat dissaption, friction, etc. Any product which works "well" on both is also a compromise on both. So it depends on what your braking needs are in terms of making a product compromise.

Yet another reason for two bikes, keep one with carbon pads mounted and only use carbon rims in it, and have another with normal pads for Al rims. Of course you could just switch pads depending on what your going to be riding, but that's not as much fun

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Ride lightly!

Not only is there a major difference between carbon and aluminum, there are significant differences between types of carbon. Graphite fibers conduct heat very well axially but because of the typically poor conductivity of the matrix (the usually polymeric "glue" that holds the fibers together), conduction trnasverse to fiber orientation is often an order of magnitude less.

Brakes convert kinetic energy into heat. The softer material always gets hotter. A brake pad designed for a carbon rim that has carbon fibers axially oriented normal to the friction surface would also work well with aluminum rims. An optimum pad for a rim with fibers axially oriented parallel to the rim normal surface would be too cold for aluminum rims.

And I didn't cover rims with special braking surfaces like SiC.

The standard caveat applies. Use what the rim manufacturer recommends. If it means swapping pads, do it. If you must, ride with a combination that eats pads, not the rims.

Just don't have the money for two bikes
I think of using a Crono rim in the front and a Corima Aero in the rear.

I was (kind of) joking.

I would use normal black pads in the front and Corima pads in the rear.

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Ride lightly!