Focus: Go-go Atoms Give Heat the Shake

Published April 3, 2003  |  Phys. Rev. Focus 11, 13 (2003)  |  DOI: 10.1103/PhysRevFocus.11.13

Einstein Oscillators in Thallium Filled Antimony Skutterudites

Raphaël P. Hermann, Rongying Jin, Werner Schweika, Fernande Grandjean, David Mandrus, Brian C. Sales, and Gary J. Long

Published April 3, 2003
+Enlarge image Figure 1
R. Hermann/Univ. of Liege

Cagey Crystal. Thallium atoms (green) rattle independently in tiny pens formed by antimony atoms (blue) in a cobalt (inside red octahedra) and antimony compound known as a skutterudite. Such randomly shaking atoms could be key to developing materials that conduct electricity, but not heat. (Click image for larger version.)

Like so many go-go dancers gyrating in their cages, atoms in the nooks of a metallic crystal shake independently, physicists report in the 4 April PRL. The randomly rattling atoms deflect heat-carrying vibrations, and the observation could lead to new materials that cool by carrying a current, or that convert heat into electricity.

Electrons flowing through a length of wire carry heat energy, so if a voltage pushes them to the right, the left end of the wire gets a bit colder. Conversely, heating the left end will jostle electrons toward the right and create a current. Such thermoelectric effects are usually miniscule, but a few materials show a special knack for swapping heat and electricity and have found a variety of uses. For example, thermoelectric refrigerators cool microchips in night-vision goggles, tissue samples in medical devices, and beer and soda in picnic coolers. Thermoelectric generators power far-flung space probes, such as NASA’s Cassini spacecraft, which will soon reach Saturn.

Researchers would like to make thermoelectric materials more efficient, however, and to do that they must solve a paradox. A thermoelectric material must allow electrons to flow freely, so they can carry away heat energy. However, it must not allow that energy to flow back in the form of vibrations of the atoms in the material. Concocting a solid substance that does both things well is difficult because while electrons travel most easily through a crystalline material, so do vibrations.

One possible solution is to load a metallic crystal with extra, weakly bound atoms that rattle independently of passing wave-like vibrations. While having little effect on the electrons, such separately shaking atoms should make the crystal appear disorderly to heat-carrying vibrations, scattering them and impeding their flow. These independent atoms are known as Einstein oscillators because, in the first applications of quantum theory to solids, Albert Einstein assumed a crystal consists entirely of independently oscillating atoms. They are observed routinely in glasses, which are made of randomly arranged atoms and do not conduct electricity. Now a team of physicists reports the clearest sighting yet of Einstein oscillators in a metallic crystal.

The crystal is a combination of antimony and cobalt known as a skutterudite. It contains cage-like arrangements of 12 antimony atoms, and thallium atoms inserted into the cages rattle about independently, report Raphael Hermann and Fernande Grandjean of the University of Liege in Belgium and their colleagues. To prove it, the researchers first measured the specific heat–the amount of heat energy required to increase the temperature of the material–of both the unfilled and filled skutterudite. The temperature increased just as it should if the thallium atoms oscillated independently. Next, the team scattered neutrons off both the filled and unfilled skutterudite and found that with the filled material, some of the neutrons gained a specific amount of energy, indicating that they were colliding with thallium atoms, which should all rattle at the same frequency.

Others had seen evidence of such rattling by comparing cerium- and lanthanum-filled iron-antimony skutterudites with the unfilled cobalt-antimony compound, says Veerle Keppens of the University of Mississippi in Oxford, who worked on the earlier study. But the new measurement provides the clearest evidence yet of Einstein oscillators in a metallic system, she says. The observation could ultimately lead to better thermoelectric materials, says George Nolas of the University of South Florida in Tampa. “Once you understand the basic phenomenon,” Nolas says, “you can tune these properties.”

–Adrian Cho

Adrian Cho is a freelance science writer in Grosse Pointe Woods, Michigan.