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Planet Formation. Topic: Connecting to the solar system Lecture by: C.P. Dullemond. Meteorites. Radioactive Dating. If we somehow know what the original abundances were at time t 0 ,then by measuring the abundances now, we can calculate the time since t 0 . Problems:
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Planet Formation Topic: Connecting to the solar system Lecture by: C.P. Dullemond
Radioactive Dating • If we somehow know what the original abundances were at time t0,then by measuring the abundances now, we can calculate the time since t0. • Problems: • We often do not know original abundances • How do we define t0 anyway??
Radioactive Dating Definition of time t0: The moment at which a rock has solidified (crystallized). Key ingredient: We assume we have chemically heterogeneous patches of rock (if not, then we would only measure the time since element formation in previous generation of stars, which is nice, but not what we want; or if the system is not closed, we would not know initial abundances, so our measurement is useless). Before t0: We assume that the material has been well-mixed between the above mentioned patches, so that all isotopes of the same element have the same abundance ratios between the patches. Only the chemistry can create heterogeneous patches: but this only creates variations in abundances of different elements, not of their isotopes.
Radioactive Dating After t0: We assume that chemistry has stopped. No exchange of elements nor of isotopes between patches. From now on the radioactive decay can change isotope ratios. For different patches this occurs with different rate, because of different chemical compositions. Example: U-Pb system: 238U 206Pb Halflife = 4.47 Gyr 235U 207Pb Halflife = 0.70 Gyr If the U/Pb ratio in one patch is high, then 206Pb grows fast; if the U/Pb ratio is low, then 206Pb grows slow. Same for 207Pb but with 6x lower rates. By comparing two or more patches you get age since solidifying.
U-Pb system: Holmes-Houtermans method The radioactive decay channels: 238U 206Pb Halflife = 4.47 Gyr 235U 207Pb Halflife = 0.70 Gyr We measure the abundances of 206Pb and 207Pb in various chemically slightly distinct patches of rock. We take 204Pb as a reference.
U-Pb system: Holmes-Houtermans method U total 238U 235U
U-Pb system: Holmes-Houtermans method Increase of 206Pb for different patches High initial U/Pb Ratio Low initial U/Pb Ratio
U-Pb system: Holmes-Houtermans method Increase of 207Pb for different patches High initial U/Pb Ratio Low initial U/Pb Ratio
U-Pb system: Holmes-Houtermans method Increase of both 206Pb and 207Pb for different patches
U-Pb system: Holmes-Houtermans method Increase of both 206Pb and 207Pb for different patches
U-Pb system: Holmes-Houtermans method Isochrones for case with t0=-4.56 Gyr t=-1.52 Gyr t=today t=-3.04 Gyr t=-4.56 Gyr
U-Pb system: Holmes-Houtermans method Now a different solidifying date: 3.5 Gyrs ago t=-1.17 Gyr t=today t=-2.23 Gyr t=-3.50 Gyr
Clair Cameron Patterson Clair Patterson was the first (1953) to use Pb-Pb dating to date the age of the Earth and the solar system bodies: Age = 4.5 Gyr (Now: 4.567±0.001 Gyr) He also discovered in the process that humanity was in the process of poisoning itself with leaded car fuel! His continued effort agains strong lobbies by the industry eventually led to the Environmental Protection Agency 1973, which stopped and eventually reversed the lead output into the food chain.
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