I haven't seen any full listings of a single system where one can find as many as possible of the rare elements, so I took it upon myself to make such a list. The system I found which is a good candidate is one that is not far from Sol - 60 LY or so - Timbalderis. Timbalderis is a system with two stars and gas giants, the stars being pretty close together and making for very little in the way of travel time.
What follows is a list of which system body has the highest amount of a rare element, and the percentage of the element. Hopefully this will make it easier to find most of the elements instead of chasing from system to system.
Antimony:
Timbalderis AB 1 B, 1.2%, also on Timbalderis AB 3 I.
Arsenic:
Timbalderis AB 1 D a, 2.7%
Cadmium:
Timbalderis AB 1 B, 1.6%, also on Timbalderis AB 1 F
Mercury:
Timbalderis B 1, 1.7%
Molybdenum:
Timbalderis AB 1 B, C, D, F, 1.3%.
Niobium:
Timbalderis B 2, 1.5%
Polonium:
Timbalderis B 1, 1.1%
Ruthenium:
Timbalderis AB 3 H, 1.2%
Technetium:
Timbalderis AB 1 D A, 0.6% (only found there in the system)
Tellurium:
Timbalderis AB 1 C, 1.5%, also on AB 1 D.
Tin:
Timbalderis B 1, 2.5%
Tungsten:
Timbalderis AB 1 C, 1.1%, also on Timbalderis AB 3 I.
Yttrium:
Timbalderis B 2, 1.4%
Zirconium:
Timbalderis B 2, 2.6%
What follows is a list of which system body has the highest amount of a rare element, and the percentage of the element. Hopefully this will make it easier to find most of the elements instead of chasing from system to system.
Antimony:
Timbalderis AB 1 B, 1.2%, also on Timbalderis AB 3 I.
Arsenic:
Timbalderis AB 1 D a, 2.7%
Cadmium:
Timbalderis AB 1 B, 1.6%, also on Timbalderis AB 1 F
Mercury:
Timbalderis B 1, 1.7%
Molybdenum:
Timbalderis AB 1 B, C, D, F, 1.3%.
Niobium:
Timbalderis B 2, 1.5%
Polonium:
Timbalderis B 1, 1.1%
Ruthenium:
Timbalderis AB 3 H, 1.2%
Technetium:
Timbalderis AB 1 D A, 0.6% (only found there in the system)
Tellurium:
Timbalderis AB 1 C, 1.5%, also on AB 1 D.
Tin:
Timbalderis B 1, 2.5%
Tungsten:
Timbalderis AB 1 C, 1.1%, also on Timbalderis AB 3 I.
Yttrium:
Timbalderis B 2, 1.4%
Zirconium:
Timbalderis B 2, 2.6%
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