I wonder how effective a diamond heatsink would be? Diamond has a thermal conductivity about three to four times that of copper (and specially-made high-purity synthetic diamonds can get to about thirty times that of copper or even 100x copper if you can make them out of 99.9% pure ¹²C), so you'd expect better performance, but I don't know how well the diamond would transfer that thermal energy to air
diamond also has a much lower heat capacity than copper, too
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well, a much lower molar heat capacity. its mass heat capacity is slightly higher and its volumetric heat capacity is about half that of copper
I don't know which of these is most relevant to heatsink design or to heat transfer
