Hello dear friends!
The chemical separation of rare earth metals is difficult and costs more than the extraction of the ore. So could distillation separate rare earth metals? (Of course I didn't check if it's already done).
Most 1kPa boiling points spread nicely. Exceptions are 66K for Tb/Pr (or 2.6%, comparable with 100°C and 110°C), 18K for Ce/La, 2K for Pr/Gd. For those pairs, the 1atm boiling points or the melting points spread, so a later step might separate them, distillation at a different pressure or a chemical process.
1kPa 1atm mp Element
K K K
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1047 1465 1097 70 Yb ytterbium
1234 1796 1099 63 Eu europium
1421 2061 1345 62 Sm samarium
1570 2217 1818 69 Tm thulium
1954 2831 1680 66 Dy dysprosium
2040 2964 1734 67 Ho holmium
2163 3132 1802 68 Er erbium
2296 3336 1297 60 Nd neodymium
2505 3491 1629 65 Tb terbium
2571 3779 1208 59 Pr praseodymium
2573 3535 1585 64 Gd gadolinium
2653 3663 1925 71 Lu lutetium
2754 3705 1068 58 Ce cerium
2772 3726 1193 57 La lanthanum
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The distillation tower's material is badly difficult. The best refractory metals have a very low vapour pressure at such temperature (notice the 1kPa, 1Pa and 13mPa), but I suppose they dissolve in the molten mischmetal to pollute the most refractory rare earth outlet and fail mechanically.
1Pa mp Element
K K
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2639 2128 40 Zr zirconium
2689 2506 72 Hf hafnium
2742 2896 42 Mo molybdenum
2942 2750 41 Nb niobium
3297 3290 73 Ta tantalum
3303 3459 75 Re rhenium
3477 3695 74 W tungsten
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Would plain ceramic, or a ceramic coating, resist molten mischmetal better? For the following oxides, I'd say no. I've taken only oxides of refractive metals because of MgO's bad example: liquid Al corrodes it as metallic Mg is volatile. The heat of formation per mole of oxygen atoms is -409 to -635kJ/mol while rare earth metals have -568 (Eu3O4) to -633 (Er2O3). I haven't checked the carbides nor borides. Graphite?
13mPa dHf/O mp Compound
K kJ/mol K
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2200 -409 2145 Ta2O5
2300 -635 2683 Y2O3
-380 Nb2O5
2500 -550 2973 ZrO2
2800 -572 3031 HfO2
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-568 Eu3O4
-633 Er2O3
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So maybe uncoated C, Ta, Re, W can make the tower to distill the more volatile rare earth metals, which might be useful.
Marc Schaefer, aka Enthalpy