Heat Conduction Image
Tantalum nitride can conduct heat faster than almost all other materials. (Image courtesy of TU Wien)

In collaboration with groups from China and the United States, a research team from TU Wien set out to find the optimal heat conductor. They finally found what they were looking for in a very specific form of tantalum nitride — no other known metallic material has a higher thermal conductivity. In order to be able to identify this record-breaking material, they first had to analyze which processes play a role in heat conduction in such materials at the atomic level.

"Basically, there are two mechanisms by which heat propagates in a material," explained Professor Georg Madsen from the Institute of Materials Chemistry at TU Wien. "First, through the electrons that travel through the material, taking energy with them. This is the main mechanism in good electrical conductors. And second through the phonons, which are collective lattice vibrations in the material." The atoms move, causing other atoms to wobble. At higher temperatures, heat conduction through propagation of these vibrations is usually the decisive effect.

But neither the electrons nor the lattice vibrations can propagate completely unhindered through the material. There are various processes that slow down this propagation of thermal energy. Electrons and lattice vibrations can interact with each other, they can scatter, they can be stopped by irregularities in the material. In some cases, heat conduction can even be dramatically limited by the fact that different isotopes of an element are built into the material. In that case, the atoms do not have exactly the same mass, and this affects the collective vibrational behavior of the atoms.

"Some of these effects can be suppressed — but usually not all at the same time," said Madsen. "It's like playing Whack-A-Mole: You solve one problem, and at the same time a new one arises somewhere else."

Metals typically have a mediocre thermal conductivity. The metal with the highest known thermal conductivity is silver — with only a fraction of the conductivity of the record-holding material: diamond. But diamonds are expensive and very difficult to process.

With elaborate theoretical analyses and computer simulations, the team finally succeeded in identifying a suitable material: The hexagonal θ-phase of tantalum nitride. Tantalum is particularly favorable because it has hardly any different isotopes. Almost 99.99% of the naturally occurring tantalum is the isotope tantalum 181; other variants hardly occur.

"The combination with nitrogen and the special atomic scale geometry make the phase metallic, and it suppresses interactions of the heat-carrying vibrations with other vibrations and with the conducting electrons. It is exactly those interactions that inhibit heat conduction in other materials," said Madsen. "These interactions are not possible in this material because they would violate the law of energy conservation."

Therefore, this form of tantalum nitride combines several important advantages, making it a record-breaking material with a thermal conductivity several times higher than silver and comparable to diamond. According to Madsen, tantalum nitride is a highly promising material for the chip industry. "Chips are getting smaller and more powerful, so conducting heat is becoming a bigger and bigger problem. No other material solves this problem better than the θ-phase tantalum nitride," he said.