Cosmochemistry — IUPAC-VII applied chemistry at the meteorite / interplanetary-dust / stellar-condensate grain. Foundations: the terrestrial-fractionation line (TFL) δ¹⁷O = 0.52 · δ¹⁸O (slope set by mass-dependent kinetic/equilibrium…
cosmochemistry
Mass-dependent fractionation line δ¹⁷O = 0.52·δ¹⁸O (TFL anchor)
Mass-dependent fractionation line (TFL). For any physical or chemical process that discriminates between isotopes by mass alone…
R_mix = f·R_A + (1−f)·R_B: linear 2-component isotope mixing
Two-component isotope mixing: a linear mass-weighted average of end-member isotope ratios. Valid when the two end-members share the same…
ln(P₂/P₁) = −(L/R)·(1/T₂ − 1/T₁): condensation-T curves for refractories
Clausius-Clapeyron relation in its integrated form (Clausius 1850, Clapeyron 1834): for a single-component phase boundary with latent heat…
Δ¹⁷O = δ¹⁷O − 0.52·δ¹⁸O; zero on TFL (mass-dependent samples)
Sympy-exact witness of the Δ¹⁷O identity on the terrestrial fractionation line. Setup: Δ¹⁷O = δ¹⁷O − (52/100)·δ¹⁸O (Rational 52/100 =…
R_mix at f=0 ⇒ R_B, f=1 ⇒ R_A, f=1/2 ⇒ (R_A+R_B)/2
Sympy-exact witness of the two-component isotope mixing formula at its three canonical fractions. Setup: R_mix(f) = f·R_A + (1 − f)·R_B. …
r-process peaks sum N=50+82+126 = 258 (closed-shell magic-N anchor)
Sympy-exact witness of the r-process magic neutron number set. Setup: the r-process (rapid neutron-capture nucleosynthesis) occurs in…