@Deano: Why do you incinerate those aluminum capacitors? Do you hope to find any PMs in there? I strongly doubt it. They consist of aluminum and an acid (I think sulphuric acid ). Those capcitors are completly worthless. What you can do, if they are in a good condition and do have a rating like 50V,60V,100V and above: sell them on ebay. 10000 yF and 400V will sell at 10 € over here, Those are really large. It really would surprise me to have any PMs in there. Ok, who knows? Just check Wikipedia or so, you also put your health in danger. I liked your other smart projects better. Hope you dont get this wrong...
Coils consist of a ferrit core and a painted copper wire.. What is intersting about coils is the fact that IF they meet certain criteria (HF or high frequency coils, they contain RARE EARTH. It is the only component known to me that does really often contain rare earth. To know that, you must only read their color code. They are coded in certain colors depending on their content of Fe, Al and the famous rare earth (check wikipedia). So dont burn them - sorry incinerate-pyrolize-terminate them. You need to read the colors and go from there on. Most BMs are iron and aluminum. So with simple HCl you should be able to remove at least the iron, the rest could/should be the rare earth metals How much that is , is unknown to me. All I know is that since China controlled these elements for the last decade or so, they were able to get the rare earth metals reallly cheap from their own mines. Just to give you an example: In 2000 I had to pay 10€ for a HF coil that could withstand 20Amps in Germany. I researched and found one in china which costed me 0,10€/piece. So what that told me was, that the costs for the western countries to produce rare earth coils was much higher, because China sold them in small doses to "us" for enormous prices whereby their own chineese companies got supplied with this material at dumping levels (That is why so many mines had closed in the last years). Each and every CPU need HF coils to build a onboard voltage regulator, so they needed cheap HF coils to produce cheap motherboards.
Long story, but at the end of the day, I know nothing about rare earth how they can be detected, recovered and refined and what´s more, I never heard of any company actually buying rare earth metals. So this is an interesting niche, but probably fruitless...
Btw. those copperwires around the coils are covered with a transparent film, just in case you try to use them for precipitating and wonder why nothing is happening...
Marcel