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Deuterium from ice

The ship's deuterium is already flowing through the Kraken Shore plant, hidden in the water that becomes oxygen and hydrogen.

See it in the tour: chapter ocean beneath ice, shot 8.2.

A little in every molecule

Enceladus from orbit, the vapour curtains at the dark south pole backlit.
The plume curtains. Enceladus from orbit, the vapour curtains at the dark south pole backlit.

Deuterium is hydrogen with a neutron in the nucleus. In Earth's oceans there is one deuterium atom for every 6,420 ordinary hydrogen atoms, a ratio of 155.76 per million physics. That makes ocean-grade water 34.8 g of deuterium per tonne physics.

The Long Passage burns 149 kg of deuterium on a crossing, half of the fuel's atoms and 40% of its mass physics. At ocean grade that is 4,265 tonnes of water, if every atom came out physics.

The ratio at Saturn

One measurement exists for Saturn-system ice. Cassini's mass spectrometer flew through the Enceladus plume and read a ratio of 2.9 per ten thousand, with a range from 2.2 to 4.4, about twice Earth's physics. It is one flyby with a wide error bar. The low end is still above the oceans physics. Jupiter's hydrogen gas, measured by the Galileo probe, is the other way: 2.6 per hundred thousand, a sixth of Earth's physics.

10⁻⁵10⁻⁴10⁻³Deuterium atoms per hydrogen atomJupiter, hydrogen gasGalileo probe, 19982.60 × 10⁻⁵Earth's oceansstandard mean ocean water1.56 × 10⁻⁴Enceladus plume waterCassini INMS, one flyby2.90 × 10⁻⁴One tonne of ocean-grade water holds 34.8 g of deuterium; the plume's central value would hold 64.8 g.Gold lines: the quoted uncertainty. Logarithmic scale: each gridline is ten times the last.
Ocean-grade water carries 34.8 g of deuterium per tonne. Cassini measured the Enceladus plume at about 1.9 times Earth's ratio, once, with a wide error bar whose low end is still above the oceans. physics

So the plan uses the ocean value as the working figure, and treats the plume as upside design.

Already in the plant

The Kraken Shore plant splits ice into oxygen for the ascent vehicle and hydrogen for the fusion transports design. A Long Passage tank load is 3,935 tonnes of hydrogen, which came from about 35,400 tonnes of water design. At ocean grade that hydrogen carries 1.2 tonnes of deuterium, eight times a crossing's burn physics. The deuterium is already in the stream. It has to be pulled out. See Water, oxygen and electrolysis.

Two ways to pull it out

Electrolysis. This is the old way. In 1932 Washburn and Urey showed that electrolysing water leaves the heavy isotope piling up in the water that remains, because the hydrogen gas leaves slightly poorer in deuterium than the liquid it came from physics. The plant's cells can run to partial conversion and bleed the enriched water to a second stage design.

Chemical exchange. The second stage is a hydrogen sulfide and water exchange between two towers, one cold at 30 °C and one hot at 130 °C. Deuterium prefers water at the cold temperature and hydrogen sulfide at the hot one. Pass the two streams past each other and each pass enriches the water a little more physics. Stages stack in a cascade until the water is nearly pure D₂O physics. Electrolysis of that water gives deuterium gas for the drive design.

The hot tower needs steady heat. At Kraken Shore waste heat from the reactors is a resource rather than a burden, so the exchange runs in a warm hall behind the berm design. See Reactors and heat on Titan. A chemical process on ice feeds a nuclear process in space.

Key numbers

QuantityValueBasis
Deuterium per hydrogen, Earth's oceans155.76 × 10⁻⁶physics
Deuterium per tonne of ocean water34.8 gphysics
Deuterium per hydrogen, Enceladus plume2.9 × 10⁻⁴ (2.2 to 4.4)physics
Deuterium per hydrogen, Jupiter2.6 × 10⁻⁵physics
Deuterium per crossing149 kgphysics
Water holding that deuterium, ocean grade4,265 tphysics
Hydrogen reaction mass per crossing3,935 t from about 35,400 t of waterdesign
Deuterium in that hydrogen, ocean gradeabout 1.2 tphysics
Exchange towers30 °C and 130 °Cphysics

Sources