The recent detection of a fingerprint in the polarization of the cosmic microwave background radiation, apparently left by primordial gravitational waves triggered by an inflationary epoch in the universe's expansion after the Big Bang, has been hailed as the kind of discovery that comes only once every few decades. Although such phenomena seem a very long way from the science of materials, the ongoing search for a direct detection of gravitational waves produced in violent astrophysical events certainly is not.

Candidate sources for these waves include rotating neutron stars with 'mountains' on their surface — small deviations from perfect rotational symmetry of the high-density crust, which would excite and radiate gravitational waves. The higher the mountains, the stronger the waves. How high the mountains are — and we're talking inches here — depends on the strength of the crust.

The crust's materials properties could also play a role in understanding other phenomena. For example, 'star quakes' produced by magnetic stresses that deform and ultimately crack the crust of magnetized neutron stars have been proposed as a possible explanation for gamma-ray flares seen in 2004 from SGR 1806-20, an object thought to be a neutron star in the Sagittarius constellation1.

Whereas a neutron star's deep interior is thought to be essentially a neutron fluid, the crust contains the nuclei of neutron-rich atoms immersed in an electron gas and permeated by a superfluid of free neutrons. The nuclei have been long assumed to form a body-centred cubic (bcc) lattice, and on this basis the strength of the crust has previously been estimated to be around 10 billion times that of steel2. That study modelled the ultradense fabric of neutron stars much like the crystal lattice of a metal, complete with dislocations (albeit mostly squeezed out by the intense pressure).

Now Kobyakov and Pethick extend the metallurgical picture further, and in doing so they revise our view of the material properties of the crust of a neutron star3. They argue that the interstitial neutron fluid between the nuclei acts like a second component of an alloy, and has the effect of creating an attraction between the nuclei that renders the bcc lattice unstable to a phase transition, in a manner analogous to the phase separation of an alloy through spinodal decomposition4.

Credit: PHILIP BALL

Although it isn't possible from this stability analysis alone to calculate what structure the phase transition will produce, the nature of the most unstable mode suggests a doubling of the unit cell, which Kobyakov and Pethick interpret as perhaps leading to a phase analogous to a ferroelectric such as barium titanate (but without actual ferroelectricity). This would be likely to increase the crust's breaking strain, and also to alter the thermodynamic and transport properties relevant to star quakes and other phenomena. There are evidently, then, implications for astrophysics and gravitational-wave detection. But in the application of methods developed for metallurgy to these exotic and barely imaginable materials, there is also an illustration of the unity in condensed-matter physics.