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Ramp compression of diamond to five terapascals

Nature volume 511, pages 330–333 (2014)Cite this article

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Abstract

The recent discovery of more than a thousand planets outside our Solar System1,2, together with the significant push to achieve inertially confined fusion in the laboratory3, has prompted a renewed interest in how dense matter behaves at millions to billions of atmospheres of pressure. The theoretical description of such electron-degenerate matter has matured since the early quantum statistical model of Thomas and Fermi4,5,6,7,8,9,10, and now suggests that new complexities can emerge at pressures where core electrons (not only valence electrons) influence the structure and bonding of matter11. Recent developments in shock-free dynamic (ramp) compression now allow laboratory access to this dense matter regime. Here we describe ramp-compression measurements for diamond, achieving 3.7-fold compression at a peak pressure of 5 terapascals (equivalent to 50 million atmospheres). These equation-of-state data can now be compared to first-principles density functional calculations12 and theories long used to describe matter present in the interiors of giant planets, in stars, and in inertial-confinement fusion experiments. Our data also provide new constraints on mass–radius relationships for carbon-rich planets.

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Figure 1: Velocity interferometry for ramp compressed diamond.
Figure 2: Ramp compression stress and sound velocity measurements.
Figure 3: Mass–radius relationships for homogenous-composition planets.

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Acknowledgements

We thank the NIF staff, B. Goldstein, Ed Moses, C. Keane, the Science Use of NIF programme, C. Wild (Fraunhofer Institute for Applied Solid-State Physics, Freiburg, Germany) for preparation of the diamond targets, D. Hicks for his analysis work, and M. Millot for reanalysing published diamond Hugoniot data. This work was performed under the auspices of the US Department of Energy by Lawrence Livermore National Laboratory under contract number DE-AC52-07NA27344, with additional support from the Department of Energy, the University of California, and the Miller Institute for Basic Research in Science.

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Authors and Affiliations

  1. Lawrence Livermore National Laboratory, PO Box 808, Livermore, 94550, California, USA

    R. F. Smith, J. H. Eggert, D. G. Braun, J. R. Patterson, R. E. Rudd, J. Biener, A. E. Lazicki, A. V. Hamza, T. Braun, L. X. Benedict, P. M. Celliers & G. W. Collins

  2. Department of Earth and Planetary Science, Department of Astronomy and Miller Institute for Basic Research in Science, University of California, Berkeley, 94720, California, USA

    R. Jeanloz & J. Wang

  3. Department of Geosciences, Princeton University, Princeton, 08544, New Jersey, USA

    T. S. Duffy

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Contributions

R.F.S., J.H.E., D.G.B., P.M.C., J.R.P., A.E.L. and G.W.C. designed, executed and analysed the data from the ramp compression experiments. J.H.E., R.E.R., L.X.B., R.J., T.S.D., J.W. and G.W.C. performed the comparisons of experimental data to EOS models and theory. J.B., T.B. and A.V.H. were instrumental in procuring and metrologizing the diamond step samples.

Corresponding author

Correspondence to G. W. Collins.

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Extended data figures and tables

Extended Data Figure 1 Ramp-compressed diamond stress versus density compared to other high-pressure data.

NIF ramp-compression data with 1σ error bars (solid blue line) together with calculated Hugoniots (low-initial-density diamond, solid red line; standard-initial-density diamond, dotted red line) and the calculated cold curve (dashed red line)12 from DFT; a simple Mie–Grüneisen model reduction of Hugoniot data to produce an extrapolated Hugoniot (low-initial-density diamond, solid orange line; standard-initial-density diamond, dotted orange line), and cold curve (dashed orange line); Vinet19 (dot-dashed grey line), Birch-Murnaghan20 (dashed grey line), and Holzapfel49 (dotted grey line) extrapolations of 300-K diamond anvil cell data21,22. The shaded regions show the range of different models for cold curve (grey) and Hugoniot (orange) showing roughly the range of uncertainty in this ultrahigh-pressure regime. Also shown are data from shock experiments (yellow circles37, up triangles38, open pentagons (which used an Al or Mo standard)40, down triangles39, blue pentagons (which used the more accurate quartz standard)40, open squares18), isothermal static data (green circles are ruby-corrected data21,22) and the ramp-compression data of Bradley32 (solid grey line). The ramp-compression data of Bradley used full-density diamond and did not use an initial shock as in NIF data. The inset shows the calculated stress–density relations of the three NIF shots: N110308, N110516 and N110524, showing the level of repeatability between experiments.

Extended Data Table 1 Ramp-compressed diamond stress–density data
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Smith, R., Eggert, J., Jeanloz, R. et al. Ramp compression of diamond to five terapascals. Nature 511, 330–333 (2014). https://doi.org/10.1038/nature13526

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