Loren Booda said:
Do planets that undergo a gradual cooling inward of a liquid core in essence perform zone refining, like that used to purify silicon for semiconductors? Starting with a solidifying crust, the crystallization of molten rock selectively freezes out first the materials with both the lowest melting points and least density, pushing elements like tungsten and uranium toward the center.
Earth's inner core is actually solidifying from the middle outwards- Pressure makes the inner core solid, despite it being hotter than the liquid outer core, but as temperature falls, the pressure is able to solidify more and more of the inner core.
The stratification of the layers of the Earth was indeed due to sinking of denser minerals during the Earth's fully molten stage (
http://csmres.jmu.edu/geollab/Fichter/PlateTect/heathistory.html) and some further stratification still occurs now in that lighter minerals such as quartz rise up due to their lower density as crust melts at subdction zones.
How closely would the geological compositions of the Earth and other terrestrial planets (especially once solidified) bear out this pattern? At what level would you most likely find crystalline matter?
On earth, you would indeed find layering, with a core thoght to consist mostly of iron, followed by a mantle, thought to be made of alkaline material similar to that which is found deep in ocean crust, which is represented at the surface by ophiolites (http://volcano.und.edu/vwdocs/vw_hyperexchange/ophiolites.html) .
Next comes the crust, which is more of a mixture, consisting of alkaline material directly accreated from the mantle in oceanic plates, and the lower edges of continental plates, through to acidic (granitic) material comprising most of the continents.
As for crystalline material- if Earth were to fully cool, crystaline material would span the crust and the whole mantle, with crystals becoming increasingly coarse towards the middle. The core I'm not too sure about- being slowly cooling liquid, I'd imagine it would form crystals, but I'm not sure. There is some data suggesting the inner core is in fact one large crystal http://www.psc.edu/science/Cohen_Stix/cohen_stix.html
It's hard to apply this to other planets, as we have little to analyse but a very few rocks from some, and aerial imagary.