Ice-nine Run the simulation

Ice-nine and the world ocean

In Kurt Vonnegut's Cat's Cradle, a crystal of ice-nine, a form of ice that melts at 45.8 °C, falls into the sea and the oceans freeze. This project models what would actually happen: how much of the ocean freezes, how fast, what stops it, and what happens to the air and the land.

Animation: ice-nine spreading from the Caribbean over the first 15 days, sinking case
Sinking ice-nine, the first 15 days: the sea turns milky as crystals spread and sink, the land turns white
Animation: ice-nine spreading from the Caribbean over the first 15 days, floating case
Floating ice-nine, the first 15 days: a white crust spreads over open water

Natural colour: roughly what you would see from space. The milky sea of the sinking case is a slush at about 42 °C.

What happens, and when

The novel does not say whether ice-nine is denser than water, and that decides the outcome. If the solid sinks, the ocean becomes a hot slush with open water on top. If it floats, a crust closes over the sea. Both runs start from a single seed in the Caribbean in October, on a 0.5° grid.

If ice-nine sinks

The ocean becomes slush from top to bottom and stays open at the surface.

  1. day 3
    Rain seeds the sea
    Crystals lofted by sea spray freeze the rain they meet, and that rain seeds open water wherever it falls: 10% of the ocean frozen.
  2. day 7
    The freeze stalls
    39% of the ocean by mass. Each column has heated itself to its melting point with its own latent heat.
  3. day 10
    The land is white
    93% of the land under ice-nine snow, which melts only above 45.8 °C. Rain over land is six times today's.
  4. day 16
    The air peaks
    43 °C, from 14 °C at the start; it settles near 36 °C within a month.
  5. first summer
    Snow melts back on hot continents
    Cover falls to about 90% and returns in autumn.
  6. year 1 to 12
    Slow freezing, paced by radiation to space
    About 0.4 percentage points a year: 44% frozen after twelve years. The slush ocean stays near 42 °C and the air near 35 °C.

If ice-nine floats

A crust forms on the sea; brine from it overturns the water below.

  1. day 7
    A crust starts to form
    26% of the surface covered within a week; the land is white by day 15.
  2. year 1
    The deep ocean overturns
    Salt rejected by the crust makes the water under it denser than the deep water. The column overturns and the deep water freezes against the crystals: 28 to 31% of the ocean frozen.
  3. year 3
    The deep freeze stops
    42.5% of the ocean frozen, close to its limit of 43.7%.
  4. year 4.7
    Colder than today
    The white crust and the white land reflect sunlight; the air falls below its starting 14 °C.
  5. year 5.8
    The crust closes
    Rain stops, because the ocean no longer evaporates.
  6. year 12
    A snowball
    The air is at −37 °C and still cooling.

Main findings

From 25 scenarios run for twelve simulated years, each changing one assumption, plus convergence tests and an energy budget that closes to 0.03%.

39%

The ocean stalls at about two fifths

Freezing releases latent heat into the water itself. A column freezes until it reaches its melting point, then only as fast as heat leaves the planet. The stall level is set by the latent heat and does not depend on grid, time step or front speed. Rain seeding gets it there within a week.

0.4 pt/yr

Then it is radiation that sets the pace

After the first weeks the freeze advances only as fast as the atmosphere sheds heat to space. At that rate the rest of the ocean would take more than a century.

93%

Ice-nine snow covers the land within two weeks

Sea spray carries crystals into the air, and rain that forms around them falls as ice-nine. Fresh ice-nine melts 2.2 K above the brine-depressed sea slush, so it survives in a very hot world. How far it reaches is uncertain: across 54 combinations of crystal and rain assumptions, land cover after a year ranged from 16% to 94%.

sinks or floats

The density of ice-nine decides the ending

A sinking solid leaves an open slush ocean near 42 °C for decades. A floating solid closes a crust in about six years and the planet becomes a snowball.

39 K vs 17 K

The poles warm most

Polar water starts near −1 °C and is lifted to the melting point by its own latent heat; tropical water starts near 27 °C. The air follows the sea.

years, not minutes

Only the floating case resembles the novel

And it takes years. Known high-pressure ice phases are denser than water, which favours the sinking case.

The first month

One seed in the Caribbean. The lattice spreads by contact at about 15 km/h, rides the currents, and is carried by the wind: sea spray lofts crystals, and rain that forms around them seeds the sea, the lakes and the rivers it falls on, and whitens the land. Within a week almost the whole ocean is seeded and the freeze stalls, held back by its own heat; by day 10 the land is white. One frame per day, from runs with 2-hour steps. These maps show temperature, not colour: amber is slush at its melting point, about 42 °C.

Animated map of the first 15 days, sinking case
Sinking ice-nine: the sea turns to slush at its melting point (amber); land turns white.
Animated map of the first 15 days, floating case
Floating ice-nine: a crust (blue-white) grows over the warming mixed layer.

The world in pictures

Renders from the model, flat and on the globe over the natural-colour relief. Natural colour shows roughly what you would see from above: open water blue whatever its temperature, milky where sinking ice-nine is in the water, the floating crust and land snow white. Temperature shows water navy when cold, amber near the melting point and red above it, with ice-nine blue-white.

Flat map, sinking ice-nine
Globe, Atlantic Globe, Pacific Globe, Arctic
Sinking ice-nine
Flat map, floating ice-nine
Globe, Atlantic Globe, Pacific Globe, Arctic
Floating ice-nine

How the model works

A global grid of ocean columns with a one-degree atmosphere above it, run in the browser. Every physical constant has a written derivation; the few that are estimates are marked as such.

The ocean

Each column has a temperature and a solid fraction. A seeded column freezes while it is below its melting point. Freezing releases latent heat into the column (389 kJ/kg, from the entropy of fusion of known ices), and the melting point falls as the remaining brine gets saltier. A sinking solid turns the whole column to slush; a floating one forms a crust over a 100 m mixed layer, and brine from the crust overturns the water below.

The front

A seeded column seeds its neighbours at about 15 km/h. Currents carry crystals downstream, and rain falling through crystal-laden air seeds the sea, lakes and rivers it lands on.

The air

The sea exchanges heat with the air by standard bulk formulas. The air has today's seasonal climate, moves at realistic wind and mixing speeds, and radiates to space with a water-vapour greenhouse and clouds. White surfaces (crust, frozen columns, snow) reflect sunlight in proportion to the sunshine they receive. Moist convection keeps the air within a few degrees of the sea.

Water and snow

Evaporation feeds a vapour field that rains out over about nine days, on top of today's rainfall map. The latent heat travels with the vapour. Rain that forms around ice-nine crystals lands as snow, which melts only where the air or sunlit ground passes 45.8 °C.

How sure is each result?

ResultConfidenceWhy
The ocean stalls near 39% within a week or twohighThe level follows from energy conservation and is identical across grids, time steps and seeds. The timing depends on the time step: day 7 at 2 h steps, day 20 at 48 h.
Slow freezing afterwards, decades to centuries to finishmoderateRate set by radiation to space; the atmosphere is a single layer with prescribed feedbacks.
Deposited ice-nine snow survives in a very hot worldmoderate to highFresh ice-nine melts above the brine-depressed slush that sets the air temperature.
Nearly all land white within weekslow to moderateDepends on how long crystals stay in the air and on where the extra rain falls; deserts and continental interiors are the least certain.
A floating crust ends in a snowballmoderateRobust in direction; the timing shifts by about a year with grid and time step, and the end temperature depends on clouds and snow.

Not modelled

Ocean circulation below the surface, cloud reflection in a much wetter world, changes in the global circulation of the atmosphere, salt precipitation, and the loss of ocean water to snow on land. The front speed, the seeding rates and the crystal lifetime in the air are estimates; the crystal lifetime has the largest effect on how much land whitens.

The paper

All scenarios, the convergence tests, the energy budget and the sensitivity of the snow results are in the paper.

The model runs in any modern browser with no installation: open the simulation, tap the sea to drop a seed, and press Start. The controls let you change every assumption discussed here, from whether ice-nine floats to how long crystals stay in the air.

Timeline of the two scenarios: ocean frozen and air temperature against time
Timeline of both scenarios, from the paper.

Where ice-nine came from

Vonnegut worked in public relations at General Electric in Schenectady from 1947 to about 1950. His brother Bernard was a scientist in Irving Langmuir's research group there, the group that found that dry ice and silver iodide make supercooled cloud water freeze. Vonnegut told the story of ice-nine himself in a 1977 interview.

Dr. Felix Hoenikker, the absentminded scientist, was a caricature of Dr. Irving Langmuir, the star of the G.E. research laboratory. [...] His most important contribution, though, was the idea for what I called "Ice-9," a form of frozen water that was stable at room temperature. He didn't tell it directly to me. It was a legend around the laboratory—about the time H. G. Wells came to Schenectady. [...] Langmuir was told to be his host. Langmuir thought he might entertain Wells with an idea for a science-fiction story—about a form of ice that was stable at room temperature. Wells was uninterested, or at least never used the idea. And then Wells died, and then, finally, Langmuir died. I thought to myself: "Finders, keepers—the idea is mine."

Kurt Vonnegut, "The Art of Fiction No. 64", The Paris Review 69, Spring 1977

Wells died in 1946 and Langmuir in 1957; Cat's Cradle appeared in 1963. Langmuir's idea was ice stable at room temperature. The melting point of 45.8 °C (114.4 °F) is Vonnegut's, and no source we found explains the number; it is above body temperature and above the warmest sea, which the plot needs. Accounts differ on the origin: elsewhere the idea is credited to Bernard Vonnegut, who studied how ice crystals form in clouds (Physics Today 39(11), 1986). The interview itself is a composite that Vonnegut reworked: "With utmost tenderness, I interviewed myself."