1
|
Döppner T, Bethkenhagen M, Kraus D, Neumayer P, Chapman DA, Bachmann B, Baggott RA, Böhme MP, Divol L, Falcone RW, Fletcher LB, Landen OL, MacDonald MJ, Saunders AM, Schörner M, Sterne PA, Vorberger J, Witte BBL, Yi A, Redmer R, Glenzer SH, Gericke DO. Observing the onset of pressure-driven K-shell delocalization. Nature 2023:10.1038/s41586-023-05996-8. [PMID: 37225995 DOI: 10.1038/s41586-023-05996-8] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/18/2022] [Accepted: 03/22/2023] [Indexed: 05/26/2023]
Abstract
The gravitational pressure in many astrophysical objects exceeds one gigabar (one billion atmospheres)1-3, creating extreme conditions where the distance between nuclei approaches the size of the K shell. This close proximity modifies these tightly bound states and, above a certain pressure, drives them into a delocalized state4. Both processes substantially affect the equation of state and radiation transport and, therefore, the structure and evolution of these objects. Still, our understanding of this transition is far from satisfactory and experimental data are sparse. Here we report on experiments that create and diagnose matter at pressures exceeding three gigabars at the National Ignition Facility5 where 184 laser beams imploded a beryllium shell. Bright X-ray flashes enable precision radiography and X-ray Thomson scattering that reveal both the macroscopic conditions and the microscopic states. The data show clear signs of quantum-degenerate electrons in states reaching 30 times compression, and a temperature of around two million kelvins. At the most extreme conditions, we observe strongly reduced elastic scattering, which mainly originates from K-shell electrons. We attribute this reduction to the onset of delocalization of the remaining K-shell electron. With this interpretation, the ion charge inferred from the scattering data agrees well with ab initio simulations, but it is significantly higher than widely used analytical models predict6.
Collapse
Affiliation(s)
- T Döppner
- Lawrence Livermore National Laboratory, Livermore, CA, USA.
| | - M Bethkenhagen
- Institute of Physics, University of Rostock, Rostock, Germany
- École Normale Supérieure de Lyon, LGLTPE, CNRS UMR 5276, Lyon, France
| | - D Kraus
- Institute of Physics, University of Rostock, Rostock, Germany
- Department of Physics, University of California Berkeley, Berkeley, CA, USA
- Helmholtz-Zentrum Dresden-Rossendorf, Dresden, Germany
| | - P Neumayer
- GSI Helmholtz-Zentrum für Schwerionenforschung, Darmstadt, Germany
| | | | - B Bachmann
- Lawrence Livermore National Laboratory, Livermore, CA, USA
| | - R A Baggott
- The John Adams Institute for Accelerator Science, Imperial College London, London, UK
| | - M P Böhme
- Helmholtz-Zentrum Dresden-Rossendorf, Dresden, Germany
- Center for Advanced Systems Understanding (CASUS), Görlitz, Germany
- Technische Universität Dresden, Dresden, Germany
| | - L Divol
- Lawrence Livermore National Laboratory, Livermore, CA, USA
| | - R W Falcone
- Department of Physics, University of California Berkeley, Berkeley, CA, USA
| | - L B Fletcher
- SLAC National Accelerator Laboratory, Menlo Park, CA, USA
| | - O L Landen
- Lawrence Livermore National Laboratory, Livermore, CA, USA
| | - M J MacDonald
- Lawrence Livermore National Laboratory, Livermore, CA, USA
| | - A M Saunders
- Lawrence Livermore National Laboratory, Livermore, CA, USA
| | - M Schörner
- Institute of Physics, University of Rostock, Rostock, Germany
| | - P A Sterne
- Lawrence Livermore National Laboratory, Livermore, CA, USA
| | - J Vorberger
- Helmholtz-Zentrum Dresden-Rossendorf, Dresden, Germany
| | - B B L Witte
- Institute of Physics, University of Rostock, Rostock, Germany
- SLAC National Accelerator Laboratory, Menlo Park, CA, USA
| | - A Yi
- Los Alamos National Laboratory, Los Alamos, NM, USA
| | - R Redmer
- Institute of Physics, University of Rostock, Rostock, Germany
| | - S H Glenzer
- SLAC National Accelerator Laboratory, Menlo Park, CA, USA
| | - D O Gericke
- Centre for Fusion, Space and Astrophysics, Department of Physics, University of Warwick, Coventry, UK
| |
Collapse
|
3
|
Descamps A, Ofori-Okai BK, Baldwin JK, Chen Z, Fletcher LB, Glenzer SH, Hartley NJ, Hasting JB, Khaghani D, Mo M, Nagler B, Recoules V, Redmer R, Schörner M, Sun P, Wang YQ, White TG, McBride EE. Towards performing high-resolution inelastic X-ray scattering measurements at hard X-ray free-electron lasers coupled with energetic laser drivers. J Synchrotron Radiat 2022; 29:931-938. [PMID: 35787558 PMCID: PMC9255572 DOI: 10.1107/s1600577522004453] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 01/10/2022] [Accepted: 04/26/2022] [Indexed: 06/15/2023]
Abstract
High-resolution inelastic X-ray scattering is an established technique in the synchrotron community, used to investigate collective low-frequency responses of materials. When fielded at hard X-ray free-electron lasers (XFELs) and combined with high-intensity laser drivers, it becomes a promising technique for investigating matter at high temperatures and high pressures. This technique gives access to important thermodynamic properties of matter at extreme conditions, such as temperature, material sound speed, and viscosity. The successful realization of this method requires the acquisition of many identical laser-pump/X-ray-probe shots, allowing the collection of a sufficient number of photons necessary to perform quantitative analyses. Here, a 2.5-fold improvement in the energy resolution of the instrument relative to previous works at the Matter in Extreme Conditions (MEC) endstation, Linac Coherent Light Source (LCLS), and the High Energy Density (HED) instrument, European XFEL, is presented. Some aspects of the experimental design that are essential for improving the number of photons detected in each X-ray shot, making such measurements feasible, are discussed. A careful choice of the energy resolution, the X-ray beam mode provided by the XFEL, and the position of the analysers used in such experiments can provide a more than ten-fold improvement in the photometrics. The discussion is supported by experimental data on 10 µm-thick iron and 50 nm-thick gold samples collected at the MEC endstation at the LCLS, and by complementary ray-tracing simulations coupled with thermal diffuse scattering calculations.
Collapse
Affiliation(s)
- A. Descamps
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
- Aeronautics and Astronautics Department, Stanford University, 450 Serra Mall, Stanford, CA 94305, USA
| | - B. K. Ofori-Okai
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - J. K. Baldwin
- Los Alamos National Laboratory, Bikini Atoll Road, Los Alamos, NM 87545, USA
| | - Z. Chen
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - L. B. Fletcher
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - S. H. Glenzer
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - N. J. Hartley
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - J. B. Hasting
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - D. Khaghani
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - M. Mo
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - B. Nagler
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - V. Recoules
- CEA/DAM DIF, F-91297 Arpajon Cedex, France
- Université Paris-Saclay, CEA, Laboratoire Matière en Conditions Extrêmes, 91680 Bruyères-le-Châtel, France
| | - R. Redmer
- Institut für Physik, Universität Rostock, Albert-Einstein-Straße 23, 18059 Rostock, Germany
| | - M. Schörner
- Institut für Physik, Universität Rostock, Albert-Einstein-Straße 23, 18059 Rostock, Germany
| | - P. Sun
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - Y. Q. Wang
- Los Alamos National Laboratory, Bikini Atoll Road, Los Alamos, NM 87545, USA
| | | | - E. E. McBride
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
- PULSE Institute, SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| |
Collapse
|
4
|
Röpke G, Schörner M, Redmer R, Bethkenhagen M. Virial expansion of the electrical conductivity of hydrogen plasmas. Phys Rev E 2021; 104:045204. [PMID: 34781483 DOI: 10.1103/physreve.104.045204] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/17/2021] [Accepted: 09/22/2021] [Indexed: 11/07/2022]
Abstract
The low-density limit of the electrical conductivity σ(n,T) of hydrogen as the simplest ionic plasma is presented as a function of the temperature T and mass density n in the form of a virial expansion of the resistivity. Quantum statistical methods yield exact values for the lowest virial coefficients which serve as a benchmark for analytical approaches to the electrical conductivity as well as for numerical results obtained from density functional theory-based molecular dynamics simulations (DFT-MD) or path-integral Monte Carlo simulations. While these simulations are well suited to calculate σ(n,T) in a wide range of density and temperature, in particular, for the warm dense matter region, they become computationally expensive in the low-density limit, and virial expansions can be utilized to balance this drawback. We present new results of DFT-MD simulations in that regime and discuss the account of electron-electron collisions by comparison with the virial expansion.
Collapse
Affiliation(s)
- G Röpke
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - M Schörner
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - R Redmer
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - M Bethkenhagen
- École Normale Supérieure de Lyon, Laboratoire de Géologie de Lyon, LGLTPE UMR 5276, Centre Blaise Pascal, 46 allée d'Italie, Lyon 69364, France
| |
Collapse
|
5
|
Lütgert J, Vorberger J, Hartley NJ, Voigt K, Rödel M, Schuster AK, Benuzzi-Mounaix A, Brown S, Cowan TE, Cunningham E, Döppner T, Falcone RW, Fletcher LB, Galtier E, Glenzer SH, Laso Garcia A, Gericke DO, Heimann PA, Lee HJ, McBride EE, Pelka A, Prencipe I, Saunders AM, Schölmerich M, Schörner M, Sun P, Vinci T, Ravasio A, Kraus D. Measuring the structure and equation of state of polyethylene terephthalate at megabar pressures. Sci Rep 2021; 11:12883. [PMID: 34145307 PMCID: PMC8213800 DOI: 10.1038/s41598-021-91769-0] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/11/2021] [Accepted: 05/25/2021] [Indexed: 11/09/2022] Open
Abstract
We present structure and equation of state (EOS) measurements of biaxially orientated polyethylene terephthalate (PET, \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$({\hbox {C}}_{10} {\hbox {H}}_8 {\hbox {O}}_4)_n$$\end{document}(C10H8O4)n, also called mylar) shock-compressed to (\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$155 \pm 20$$\end{document}155±20) GPa and (\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$6000 \pm 1000$$\end{document}6000±1000) K using in situ X-ray diffraction, Doppler velocimetry, and optical pyrometry. Comparing to density functional theory molecular dynamics (DFT-MD) simulations, we find a highly correlated liquid at conditions differing from predictions by some equations of state tables, which underlines the influence of complex chemical interactions in this regime. EOS calculations from ab initio DFT-MD simulations and shock Hugoniot measurements of density, pressure and temperature confirm the discrepancy to these tables and present an experimentally benchmarked correction to the description of PET as an exemplary material to represent the mixture of light elements at planetary interior conditions.
Collapse
Affiliation(s)
- J Lütgert
- Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstrasse 400, 01328, Dresden, Germany. .,Institute for Solid State and Materials Physics, Technische Universität Dresden, 01069, Dresden, Germany.
| | - J Vorberger
- Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstrasse 400, 01328, Dresden, Germany
| | - N J Hartley
- Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstrasse 400, 01328, Dresden, Germany.,SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA
| | - K Voigt
- Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstrasse 400, 01328, Dresden, Germany.,Institute for Solid State and Materials Physics, Technische Universität Dresden, 01069, Dresden, Germany
| | - M Rödel
- Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstrasse 400, 01328, Dresden, Germany.,Institute for Solid State and Materials Physics, Technische Universität Dresden, 01069, Dresden, Germany
| | - A K Schuster
- Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstrasse 400, 01328, Dresden, Germany.,Institute for Solid State and Materials Physics, Technische Universität Dresden, 01069, Dresden, Germany
| | - A Benuzzi-Mounaix
- LULI, CNRS, CEA, Sorbonne Université, Ecole Polytechnique - Institut Polytechnique de Paris, 91128, Palaiseau, France
| | - S Brown
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA
| | - T E Cowan
- Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstrasse 400, 01328, Dresden, Germany.,Institute of Nuclear and Particle Physics, Technische Universität Dresden, 01069, Dresden, Germany
| | - E Cunningham
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA
| | - T Döppner
- Lawrence Livermore National Laboratory, Livermore, CA, 94550, USA
| | - R W Falcone
- Department of Physics, University of California, Berkeley, CA, 94720, USA.,Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA
| | - L B Fletcher
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA
| | - E Galtier
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA
| | - S H Glenzer
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA
| | - A Laso Garcia
- Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstrasse 400, 01328, Dresden, Germany
| | - D O Gericke
- CFSA, Department of Physics, University of Warwick, Coventry, CV4 7AL, UK
| | - P A Heimann
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA
| | - H J Lee
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA
| | - E E McBride
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA.,European XFEL GmbH, Holzkoppel 4, 22869, Schenefeld, Germany
| | - A Pelka
- Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstrasse 400, 01328, Dresden, Germany
| | - I Prencipe
- Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstrasse 400, 01328, Dresden, Germany
| | - A M Saunders
- Department of Physics, University of California, Berkeley, CA, 94720, USA
| | - M Schölmerich
- European XFEL GmbH, Holzkoppel 4, 22869, Schenefeld, Germany
| | - M Schörner
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA.,Institut für Physik, Albert-Einstein-Str. 23, Universität Rostock, 18059, Rostock, Germany
| | - P Sun
- SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA
| | - T Vinci
- LULI, CNRS, CEA, Sorbonne Université, Ecole Polytechnique - Institut Polytechnique de Paris, 91128, Palaiseau, France
| | - A Ravasio
- LULI, CNRS, CEA, Sorbonne Université, Ecole Polytechnique - Institut Polytechnique de Paris, 91128, Palaiseau, France
| | - D Kraus
- Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstrasse 400, 01328, Dresden, Germany.,Institut für Physik, Albert-Einstein-Str. 23, Universität Rostock, 18059, Rostock, Germany
| |
Collapse
|