Abstract
The pressure and temperature conditions at which precipitation of diamond occurs from hydrocarbon mixtures is important for modelling the interior dynamics of icy planets. However, there is substantial disagreement from laboratory experiments, with those using dynamic compression techniques finding much more extreme conditions are required than in static compression. Here we report the time-resolved observation of diamond formation from statically compressed polystyrene, (C8H8)n, heated using the 4.5 MHz X-ray pulse trains at the European X-ray Free Electron Laser facility. Diamond formation is observed above 2,500 K from 19 GPa to 27 GPa, conditions representative of Uranus’s and Neptune’s shallow interiors, on 30 μs to 40 μs timescales. This is much slower than may be observed during the ∼10 ns duration of typical dynamic compression experiments, revealing reaction kinetics to be the reason for the discrepancy. Reduced pressure and temperature conditions for diamond formation has implications for icy planetary interiors, where diamond subduction leads to heating and could drive convection in the conductive ice layer that has a role in their magnetic fields.
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Data availability
The datasets used during the current study are available from the corresponding author on reasonable request.
Change history
22 January 2024
A Correction to this paper has been published: https://doi.org/10.1038/s41550-024-02205-y
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Acknowledgements
We thank N. Hartley for fruitful discussions. This work was supported by US Department of Energy (DOE) Office of Fusion Energy Sciences funding no. FWP100182. A.F.G. and E.E. are grateful for the support of Carnegie Science and NSF EAR-2049127. We acknowledge European XFEL in Schenefeld, Germany, for provision of X-ray free-electron laser beamtime at Scientific Instrument HED and thank the staff for their assistance. We acknowledge DESY (Hamburg, Germany), a member of the Helmholtz Association HGF, for the provision of experimental facilities. Parts of this research were carried out at PETRA III beamline P02.2. Beamtime was allocated from in-house beamtime from the beamline. Lawrence Livermore National Laboratory is operated by Lawrence Livermore National Security, LLC, for the US DOE, National Nuclear Security Administration under Contract DE-AC52-07NA27344. S.N. and L.M.A. acknowledge financial support from Sorbonne University under grant Emergence HP-XFEL. Y.L. is grateful for support from the Leader Researcher programme (NRF-2018R1A3B1052042) of the Korean Ministry of Science and ICT (MSIT). We are indebted to the HIBEF user consortium for the provision of instrumentation and staff that enabled this experiment. G.M. has been supported by a grant from Labex OSUG@2020 (Investissements d’avenir - ANR10 LABX56) and PNP-INSU programme. M.B. acknowledges the support of Deutsche Forschungsgemeinschaft (DFG Emmy-Noether project BY112/2-1).
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All authors were involved in experimental planning. M.F., E.B., M.B., R.J.H., C.S., H.-P.L., Z.K. and A.F.G. coordinated the experiment. M.F. prepared the samples. H.-P.L., J.D.M., L.M.A., S.K. and B.M. performed the prescreening at P02.2 at PETRA III. M.F., C.S., C.B., H.-P.L., Z.K., S.N., J.D.H., C.P., E.E., R.S.M., S.C., O.B.B., M.J.D. and A.F.G. conducted the experiment. T.L., S.S., C.S. and J.S.-D. operated the AGIPD detector. R.R., S.H.G. and A.F.G. advised. M.F., R.S.M., O.B.B., R.J.H., Z.K., C.P., E.E. and A.F.G. analysed the data. M.F. and R.S.M. wrote the paper.
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Extended data
Extended Data Fig. 1 FEA Model of Sample Temperature.
FEA model (cylindrical section) of sample temperature at the time of XFEL probing at 30 μs in Fig. 3d. Bold white lines indicate boundaries between DAC components; light white lines indicate additional boundaries required by the analysis; XFEL radiation is from below26. Black lines indicate solid-liquid boundaries, with the melting point of Au taken to be 2350 K31,32 and the melting point of polystyrene taken to be 1000 K (representing a likely minimum bound, considering an ambient melting point of 510 K and steep rise with pressure). The model shows high temperatures are localized near the coupler hole, with cold material surrounding the hotspot, including several microns of cold and solid polystyrene separating the sample from the diamond anvils and significantly more separating the hot sample from the gasket.
Extended Data Fig. 2 Time resolved data from a run with 1% beam power.
No thermal emission or diamond is observed. a: XRD in region of interest, vertical stripes are artifacts from diode normalization. b: SOP spectrogram showing no emission. c: Time evolution of intensity at q where diamond is expected shows no diamond formation, the line is smoothed with 15 pulse wide Hamming window. Time 0 is estimated first arrival of X-rays based on other runs.
Extended Data Fig. 3 Time resolved data from a run with 5% beam power.
Thermal emission and diamond formation are observed. a: XRD in region of interest normalized to beam intensity monitoring diode. The diamond 111 reflection is visible after 40 μs. b: SOP spectrogram. c: Temperature from SOP fitting and equation of state of gold30. d: Time evolution of diamond peak intensity, line is smoothed with 15 pulse wide Hamming window. Time 0 corresponds to first X-ray pulse based on rising edge of thermal emission. Temporal error bars represent the time bin of the SOP, temperature error bars represent one-half standard deviation confidence and are derived from the fitting uncertainty of a Planck function to the spectrographic data and statistical analysis of these data27.
Extended Data Fig. 4 Time resolved data from a run with 25% beam power.
This is a different run than is presented in Fig. 3, but shows similar temperatures and diamond formation. a: XRD in region of interest normalized to beam intensity monitoring diode. The diamond {111} reflection is visible after 35 μs. b: Emissivity as a function of time. c: SOP spectrogram. d: Temperature from SOP fitting and equation of state of gold30. e: Time evolution of diamond peak intensity, line is smoothed with 15 pulse wide Hamming window. Time 0 corresponds to first X-ray pulse based on rising edge of thermal emission. Temporal error bars represent the time bin of the SOP, temperature error bars represent one-half standard deviation confidence and are derived from the fitting uncertainty of a Planck function to the spectrographic data and statistical analysis of these data27.
Extended Data Fig. 5 Unintegrated Diffraction Image.
Raw diffraction pattern from a single XFEL pulse taken 40.2 μs into a run starting at 19 GPa. The SOP temperature is 2540(30) K. The integrated pattern is shown in Fig. 4b. λ = 0.6965 Å. Lighter shades correspond to higher signal, brightness and contrast are optimized for visibility. The pattern is azimuthally unwrapped such that vertical lines are at constant q (also known as ‘caked’). The shadow at low q is from the mirror used to observe the sample, the dark panel (top right) was faulty and masked when integrating the diffraction patterns.
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Supplementary Figs. 1–11, Tables 1 and 2, and minimal supporting text to contextualize these.
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Frost, M., McWilliams, R.S., Bykova, E. et al. Diamond precipitation dynamics from hydrocarbons at icy planet interior conditions. Nat Astron 8, 174–181 (2024). https://doi.org/10.1038/s41550-023-02147-x
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DOI: https://doi.org/10.1038/s41550-023-02147-x