The Earth is differentiated How and When did this occur? Two Sets of Constraints: Physical Mechanisms and Chemical Signatures
Observations/Inferences: Rocky inner, icy outer solar system Asteroid differentiation temperatures heliocentrically distributed Gross zonal structure within asteroid belt preserved The Moon had a magma ocean The solar photosphere has a composition very similar to CI carbonaceous chondrites Heat source concentrated near Sun? or Longer times to accrete object farther from the sun (less Al heating)? 26
Solar/Magnetic Induction heating (but T-Tauri: Polar Flows) Heat Sources: Solar/Magnetic Induction heating (but T-Tauri: Polar Flows) Short-lived radioisotopes ( 26 Al 0.73 Ma half life: must accrete fast) Long-lived radioisotopes (U, Th, K) (slow, only for larger bodies) Large impacts (only for larger bodies: between Moon and Mars-sized) Potential energy of core formation (larger bodies: 6300 km radius: 2300°C rise, 3000 km radius: 600°C rise) Resonant tidal heating (Only moons: Moon?, Titan, Io, Europa)
Timing of Core formation
Two Possible Mechanisms to Separate Metal from Silicate Porous Flow Immiscible Liquids and Deformation
Dihedral (wetting) Angle Theory The Dihedral Angle Theta is a force balance between interfacial energies
Sulfide Melt in an Olivine Matrix Most Fe-Ni-S melts do not form interconnected melt channels
Samples Recording Planetary Differentiation
Pallasites: Asteroid Core-Mantle Boundary Brenham
Old Lunar Highland Crust
An Oblique Collision between the proto-Earth and a Mars-sized impactor 4.2 minutes 8.4 minutes 12.5 minutes Kipp and Melosh (86), Tonks and Melosh (93)
Magma Ocean Crystallization No Crystal Settling Crystal Cummulates 15 22.5 7.5 15 22.5 7.5 t Quench Crust Quench Crust Liquid Pressure Depth Pressure GPa Liquid km GPa 250 Dunite High Mg/Si Liquid 500 Perovskite Settling Low Mg/Si 750 Cummulates should give a chemical signature after Carlson, 1994
Lower Mantle Solidus Pressure (GPa) 2000 T e m p r a t u ( K ) 3000 Diamond Anvil Peridotite Solidus Pressure (GPa) 2000 T e m p r a t u ( K ) 3000 4000 5000 20 40 80 120 CMB M n l A d i b s o Olivine shock meltin g n g e l t i m e ü s t i t w e s i o g n n d ) Core T M a o u r b p p e s ( u d u Multianvil Peridotite Solidus Zerr et al (98), Holland & Ahrens (97)
Useful Isotope Systems Parent nuclide 182Hf 146Sm 147Sm 176Lu 187Re 232Th 235U 238U Daughter nuclide 182W 142Nd 143Nd 176Hf 187Os 208Pb 207Pb 206Pb Tracer ratio (daughter/stable) 182W/184W 142Nd/144Nd 143Nd/144Nd 176Hf/177Hf 187Os/188Os 208Pb/204Pb 207Pb/204Pb 206Pb/204Pb Half-life 9 Ma 103 Ma 106 Ga 35.9 Ga 42.2 Ga 14.01 Ga 0.7038 Ga 4.468 Ga
Short Lived Isotopes: Early Solar System Gilmore (2002) Science
Oxygen d-Notation A scaled deviation from a standard 18O/16Osample - 18O/16OSMOW d18O = X 1000 18O/16OSMOW SMOW: Standard Mean Ocean Water abundance 16O 99.76% 17O 0.037% 18O 0.200%
Sulfur d-Notation A scaled deviation from a standard 33S/32Ssample - 33S/32SCDT d33S = X 1000 33S/32SCDT CDT: Canyon Diablo Troilite abundance 32S 95% 33S 0.75% 34S 4.2% 36S 0.017%
Mass-Dependent Fractionation Wiechert et al (2001) Science 294: 345