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Frontier simulations could help build a better diamond

https://youtu.be/yx_TDkGOoR8?si=rDV7J0m6od4WnSTx

The world’s fastest supercomputer helped researchers simulate synthesizing a material harder and tougher than a diamond — or any other substance on Earth.

The study used Frontier, the HPE Cray EX supercomputing system at the Department of Energy’s Oak Ridge National Laboratory, to predict the likeliest strategy to synthesize such a material, thought to exist only within the interiors of giant exoplanets, or planets beyond our solar system – at least so far. Frontier’s exascale speeds of more than 1 quintillion calculations per second brought the goal within reach for the first time.

“It’s the ultimate challenge of high-pressure physics,” said Ivan Oleynik, the study’s lead author and a professor of physics at the University of South Florida. “It’s our version of the philosopher’s stone that medieval alchemists believed would turn lead into gold if only they could find it. The alchemists didn’t have Frontier.”

Diamonds form when extreme heat and pressure pack carbon atoms together to create the hardest material on this planet. The precious stones not only decorate fine jewelry but perform service in the most demanding industrial jobs worldwide.

Mining crews pierce bedrock with diamond-tipped drill bits. Engravers use diamond knives and saws to make incisions in quartz and granite. Need to cut a diamond? Only another diamond can do the job.

Scientists have theorized an even harder substance exists on other planets — a superdiamond known as BC8, made up of eight carbon atoms for a diamond’s every four. Extreme pressures and temperatures at the core of an exoplanet twice Earth’s size or larger could create the necessary conditions to produce such materials.

Synthesizing BC8 under laboratory conditions could open a new vista of industrial possibilities, courtesy of a material harder than the hardest thing in nature.

The effort wouldn’t take much — just 10 million times the pressure of Earth’s atmosphere and temperatures equal to those on the sun’s surface. Various experiments have tried to create BC8 and failed, all at great expense.

“These aren’t easy conditions to produce even one time, let alone hundreds or thousands of times to determine what approach might work,” Oleynik said. “We knew to predict what it might take to synthesize this substance, we would need a highly accurate way to simulate these complex interactions between carbon atoms in a billion-atom sample under a variety of conditions. None of the traditional classical interatomic or quantum models could offer that kind of detail at scale.”

Image with a grey and black backdrop - in front is a diamond with two circles coming out from it, showing the insides.
Researchers used ORNL’s Frontier supercomputer to simulate synthesizing BC8, a material harder and tougher than diamond that could offer a wide range of potential uses for industry and other applications. Credit: Mark Meamber, LLNL

To achieve that level of accuracy, the team trained a novel machine-learning interatomic model by using an extensive cache of quantum mechanical data on various states of carbon, including BC8.

“We basically fingerprinted every atomic environment around each atom in a billion-atom system that could result during the system’s evolution at extreme pressures and temperatures,” Oleynik said. 

Only an exascale supercomputing system like Frontier could deliver the computational power required to achieve quantum accuracy while efficiently simulating a billion atoms by using the machine-learning model. Oleynik and his team turned to the Oak Ridge Leadership Computing Facility, a DOE Office of Science user facility and home to Frontier at ORNL.

The team applied for and received an allocation of time on Frontier through DOE’s Innovative and Novel Computational Impact on Theory and Experiment program.

“Without Frontier, this would have been impossible,” Oleynik said. “For this study, we needed to simulate more than a billion atoms while performing up to a million time steps in molecular dynamics simulations. We had access to other supercomputers, but none of them even had enough computational power to handle that many atoms.”

Traditional supercomputing architectures based on CPUs bogged down when trying to run the Large-scale Atomic/Molecular Massively Parallel Simulator software module, or LAMMPS, code used by Oleynik and his team on such large simulations. Frontier and its hybrid architecture, built on a mix of CPUs and GPUs, offered a 50-times speedup over the fastest CPU-based competitors.

The research team used LAMMPS on Frontier to generate a range of potential scenarios and simulate conditions that might lead to BC8’s formation. Those conditions included pressures from 0 to 20 megabars — 20 million times the atmospheric pressure on Earth at sea level — and temperatures from 0 to 10,000 K, nearly twice as hot as the surface of the sun.

The computational power of Frontier allowed researchers to run the LAMMPS code in a single day — about 24 hours — by using 8,000 of Frontier’s more than 9,400 nodes.

The study captured time-stamped, atomically resolved snapshots of billion-atom dynamics for each half of a femtosecond — about a quadrillionth of a second — of each scenario.

“Frontier allowed us to achieve near-quantum accuracy in a tour-de-force effort,” Oleynik said. “Using this unprecedented computational power of Frontier, we discovered previous experiments had been focused on the wrong place.”

Frontier allowed the research team to predict the diamond’s transformation into BC8 and observe the atomic mechanism of that transformation at scale. The simulations showed the diamond first melts; then BC8 forms from the hot, dense carbon liquid.

“It’s a new discovery in that sense because in most cases materials transform from one crystalline phase into another by concerted rearrangement of an atomic structure,” Oleynik said. “But the carbon bonds that make up a diamond are so strong, we have to melt the diamond in order to transform it into a new BC8 crystalline phase. So that adds another layer to this process with even more extreme pressures and temperatures — 12 million times the pressure of Earth’s atmosphere and 5,000 K, which is close to the temperature of the sun’s surface. How do we connect all these material states at such extreme conditions and still reach the desired result?”

Oleynik and his team found that although a strong compression wave, known as a shock wave, might generate high pressures and temperatures, those conditions tend to be less than ideal for BC8’s synthesis. 

“We found you can’t do this with a single shock,” he said. “So we used the simulations to design a sequence of shocks that bring the diamond precisely to the temperatures and pressures required to synthesize BC8.”

The team has begun to test their findings by attempting to synthesize BC8 at Lawrence Livermore National Laboratory’s National Ignition Facility.

“Thanks to Frontier, we have a good chance of success,” Oleynik said. “It’s still an extreme challenge with no guarantees, but we have great confidence in these results.”

Co-authors of the study included Kien Nguyen Cong, Jonathan Willman, Joseph Gonzalez and Ashley Williams at USF; Anatoly Belonoshko of the Swedish Royal Institute of Technology; Stan Moore, Aidan Thompson and Mitchell Wood at Sandia National Laboratories; and Marius Millot, Jon Eggert and Luis A. Zepeda-Ruiz at LLNL.

Support for this research came from the DOE Office of Science’s Advanced Scientific Computing Research program.

UT-Battelle manages ORNL for DOE’s Office of Science, the single largest supporter of basic research in the physical sciences in the United States. The Office of Science is working to address some of the most pressing challenges of our time. For more information, please visit energy.gov/science. — Matt Lakin