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ALCF Science 1 - Argonne National Laboratory

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argonne leadership computing facility<br />

Materials <strong>Science</strong><br />

Probing the Non-scalable Nano Regime in Catalytic Nanoparticles<br />

with Electronic Structure Calculations<br />

To get insight into quantum-size effects (QSE) of nano-clusters and<br />

estimate the impact on their catalytic ability, <strong>Argonne</strong> researchers,<br />

in collaboration with colleagues at the Technical University of<br />

Denmark, performed Density Functional Theory (DFT) calculations<br />

on cuboctahedral gold clusters with adsorbed oxygen and carbon<br />

monoxide. The effective cluster sizes ranged from 0.5 to about 4 nm<br />

(13 to 1,415 atoms). The calculations were done on the IBM Blue<br />

Gene/P supercomputer at the <strong>Argonne</strong> Leadership Computing Facility.<br />

The researchers found the QSE to be energetically converged for<br />

clusters larger than 309 atoms – where they obtained the adsorption<br />

characteristics of single crystal surfaces. The QSE effects were on<br />

the order of 1 eV and had a huge impact on the estimated catalytic<br />

properties of the clusters. They also found the QSE to be essentially<br />

reproduced by a simple, tight-binding model with nearest-neighbor<br />

matrix elements estimated from bulk-gold calculations and fit to<br />

reproduce the adsorption characteristic of the single-crystal surfaces.<br />

INCITE Allocation:<br />

10 Million Hours<br />

“The computational resources<br />

available through the INCITE<br />

program have permitted us to<br />

analyze the catalytic and electronic<br />

properties of nanoparticles that<br />

would have been impossible<br />

to study on more conventional<br />

systems.”<br />

INCITE PROGRAM<br />

Research accomplishments include:<br />

<br />

Completed parallelization of dense linear algebra—can now always<br />

run in VN mode with state-parallelization and will never run out of<br />

memory;<br />

<br />

Found new, efficient BG/P mappings;<br />

<br />

Did additional general tuning of the parallel performance and are<br />

working more closely with IBM to optimize the code further;<br />

<br />

Discovered a scheme that corrects for numerical grid effects<br />

(egg-box effect), which can sum up to several eVs for large<br />

systems – and which furthermore influence the relaxation<br />

of clusters (grid-snapping to hotspots of the egg-box<br />

effect).<br />

39<br />

Currently, the researchers are pursuing geometric<br />

relaxation of larger clusters and focusing their efforts<br />

on Pt and Rh, which, contrary to Au, have a partially<br />

filled d-band. They continue to work on integrating<br />

the HDF5 library into GPAW to allow the efficient<br />

restart of calculations using wave functions. They’re<br />

also addressing a thorny technical challenge: Dense<br />

diagonalization arising from ScaLAPACK is one of several<br />

Amdahl limitations in the canonical O(N3) DFT algorithm.<br />

This is a non-trivial algorithmic bottleneck that will likely require<br />

implementing O(N) DFT algorithms as a resolution.<br />

Electron density perturbation from carbon monoxide adsorption<br />

on a multi-hundred atom gold nanoparticle. The perturbation causes<br />

significant quantum size effects in CO catalysis on gold particles.<br />

Contact Jeff Greeley<br />

<strong>Argonne</strong> <strong>National</strong> <strong>Laboratory</strong> | jgreeley@anl.gov

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