Materials scientists at Duke University and UC San Diego have discovered a new class of carbides expected to be among the hardest materials with the highest melting points in existence. Made from inexpensive metals, the new materials may soon find use in a wide range of industries from machinery and hardware to aerospace.

A carbide is traditionally a compound consisting of carbon and one other element. When paired with a metal such as titanium or tungsten, the resulting material is extremely hard and difficult to melt. This makes carbides ideal for applications such as coating the surface of cutting tools or parts of a space vehicle.

A small number of complex carbides containing three or more elements also exist, but are not commonly found outside of the laboratory or in industrial applications. This is mostly due to the difficulties of determining which combinations can form stable structures, let alone have desirable properties.

A team of materials scientists at Duke University and UC San Diego have now announced the discovery of a new class of carbides that join carbon with five different metallic elements at once. The results appear online on November 26 in the journal Nature Communications.

Achieving stability from the chaotic mixture of their atoms rather than orderly atomic structure, these materials were computationally predicted to exist by the researchers at Duke University and then successfully synthesized at UC San Diego.

“These materials are harder and lighter in weight than current carbides,” said Stefano Curtarolo, professor of mechanical engineering and materials science at Duke. “They also have very high melting points and are made out of relatively cheap material mixtures. This combination of attributes should make them very useful to a wide range of industries.”

When students learn about molecular structures, they’re shown crystals like salt, which resembles a 3-D checkerboard. These materials gain their stability and strength through regular, ordered atomic bonds where the atoms fit together like pieces of a jigsaw puzzle.

Imperfections in a crystalline structure, however, can often add strength to a material. If cracks start to propagate along a line of molecular bonds, for example, a group of misaligned structures can stop it in its tracks. Hardening solid metals by creating the perfect amount of disorder is achieved through a process of heating and quenching called annealing.

The new class of five-metal carbides takes this idea to the next level. Jettisoning any reliance on crystalline structures and bonds for their stability, these materials rely completely on disorder. While a pile of baseballs won’t stand on its own, a pile of baseballs, shoes, bats, hats and gloves just might.

The difficulty lies in predicting which combination of elements will stand firm. Trying to make new materials is expensive and time-consuming. Computing atomic interactions through first principle simulations is even more so. And with five slots for metallic elements and 91 to choose from, the number of potential recipes quickly becomes daunting.

“To figure out which combinations will mix well, you have to do a spectral analysis based on entropy,” said Pranab Sarker, a postdoctoral associate in Curtarolo’s lab and one of the first authors of the paper. “Entropy is incredibly time-consuming and difficult to calculate by building a model atom-by-atom. So we tried something different.”

The team first narrowed the field of ingredients to eight metals known to create carbide compounds with high hardness and melting temperatures. They then calculated how much energy it would take for a potential five-metal carbide to form a large set of random configurations.

If the results were spread far apart, it indicated that the combination would likely favor a single configuration and fall apart -- like having too many baseballs in the mix. But if there were many configurations tightly clumped together, it indicated the material would likely form many different structures all at once, providing the disorder needed for structural stability.

The group then tested its theory by getting colleague Kenneth Vecchio, professor of NanoEngineering at UC San Diego, to attempt to actually make nine of the compounds. This was done by combining the elements in each recipe in a finely powdered form, pressing them at temperatures up to 4,000 degrees Fahrenheit and running 2000 Amps of current directly through them.

“Learning to process these materials was a difficult task,” said Tyler Harrington, a PhD student in Vecchio’s lab and co-first author of the paper. “They behave differently than any materials that we’ve ever dealt with, even the traditional carbides.”

They chose the three recipes their system deemed most likely to form a stable material, the two least likely, and four random combinations that scored in between. As predicted, the three most likely candidates were successful while the two least likely were not. Three of the four intermediate scorers also formed stable structures.

While the new carbides are all likely to have desirable industrial properties, one improbable combination stood out -- a combination of molybdenum, niobium, tantalum, vanadium and tungsten called MoNbTaVWC 5 for short.

“Getting this set of elements to combine is basically like trying to squeeze together a bunch of squares and hexagons,” said Cormac Toher, an assistant research professor in Curtarolo's laboratory. “Going on intuition alone, you’d never think that combination would be feasible. But it turns out that the best candidates are actually counterintuitive.”

“We don’t know its exact properties yet because it hasn’t been fully tested,” said Curtarolo. “But once we get it into the laboratory in the next couple of months, I wouldn’t be surprised if it turned out to be the hardest material with the highest melting point ever made.”

“This collaboration is a team of researchers focused on demonstrating the unique and potentially paradigm-changing implications of this new approach,” said Vecchio. “We are using innovative approaches to first-principles modeling combined with state-of-the-art synthesis and characterization tools to provide the integrated ‘closed-loop’ methodology so necessary for advanced materials discovery.”

This work was supported by the Department of Defense Office of Naval Research (N00014-15-1-2863, N00014-17-1-2090, N00014-16-1-2583, N00014-17-1-2876).

CITATION: “High-Entropy High-Hardness Metal Carbides Discovered By Entropy Descriptors,” Pranab Sarker, Tyler Harrington, Cormac Toher, Corey Oses, Mojtaba Samiee, Jon-Paul Maria, Donald W. Brenner, Kenneth S. Vecchio, and Stefano Curtarolo. Nature Communications, 2018. DOI: 10.1038/s41467-018-07160-7