Photochemistry in the Early Solar system: Summary of Observations and Explanations
E. D. Young
Department of Earth and Space Sciences UCLA
ÉCOLE DE PHYSIQUE Les Houches
UCLA Isotope fractionation
C16O
Reduced mass 17 controls frequency C O
Harold Urey Jacob Bigeleisen Maria Goeppert-Mayer
Harold Urey, J. Chem. Soc. (London) (1947)
J. Bigeleisen and M. G. Mayer, J. Chem. Phys. (1947)
UCLA Isotope fractionation
2 3N 3 3N 3 103 ⎛ h ⎞ ⎛ 1 1 ⎞ ⎡ a − K b − K ⎤ 17O 17O 103 ln 17/16 f , j,a f , j,b δ a − δ b ≅ α a−b = ⎜ ⎟ ⎜ − ⎟ ⎢ ∑ 2 − ∑ 2 ⎥ 24 ⎝ k T ⎠ ⎝ m m ⎠ j=1 4π j=1 4π b 16 17 ⎣⎢ ⎦⎥
2 3N 3 3N 3 103 ⎛ h ⎞ ⎛ 1 1 ⎞ ⎡ a − K b − K ⎤ 18O 18O 103 ln 18/16 f , j,a f , j,b δ a − δ b ≅ α a−b = ⎜ ⎟ ⎜ − ⎟ ⎢ ∑ 2 − ∑ 2 ⎥ 24 ⎝ k T ⎠ ⎝ m m ⎠ j=1 4π j=1 4π b 16 18 ⎣⎢ ⎦⎥
⎛ 1 1 ⎞ − 17O 17O ⎜ m m ⎟ δ a − δ b ⎝ 16 17 ⎠ Mass-dependent 18 18 = = 0.531 δ Oa − δ Ob ⎛ 1 1 ⎞ fractionation ⎜ − ⎟ ⎝ m16 m18 ⎠
UCLA Isotope fractionation