Abstract
Volatile molecules containing hydrogen, carbon and nitrogen atoms are key
components of planetary atmospheres. In the pebble accretion model for
terrestrial planet formation, these volatile species are accreted during the
main planetary formation phase. We model here the partitioning of volatiles
within a growing planet and the outgassing to the surface. The core stores more
than 90% of the hydrogen and carbon budgets of Earth for realistic values of
the partition coefficients of H and C between metal and silicate melts. The
magma oceans of Earth and Venus are sufficiently deep to undergo oxidation of
ferrous Fe$^2+$ to ferric Fe$^3+$. This increased oxidation state leads to
the outgassing of primarily CO$_2$ and H$_2$O from the magma ocean of Earth. In
contrast, the oxidation state of Mars' mantle remains low and the main
outgassed hydrogen carrier is H$_2$. This hydrogen easily escapes the
atmosphere due to the XUV irradiation from the young Sun, dragging with it the
majority of the CO, CO$_2$, H$_2$O and N$_2$ contents of the atmosphere. A
small amount of surface water is maintained on Mars, in agreement with proposed
ancient ocean shorelines, assuming a slightly higher mantle oxidation. Nitrogen
distributes relatively evenly between the core and the atmosphere due to its
extremely low solubility in magma; burial of large reservoirs of nitrogen in
the core is thus not possible. The overall low N contents of Earth disagree
with the high abundance of N in all chondrite classes and favours volatile
delivery by pebble snow. Our model of rapid rocky planet formation by pebble
accretion displays broad consistency with the volatile contents of the Sun's
terrestrial planets. The diversity of the terrestrial planets can therefore be
used as benchmark cases to calibrate models of extrasolar rocky planets and
their atmospheres.
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