1
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Descamps A, Ofori-Okai BK, Bistoni O, Chen Z, Cunningham E, Fletcher LB, Hartley NJ, Hastings JB, Khaghani D, Mo M, Nagler B, Recoules V, Redmer R, Schörner M, Senesky DG, Sun P, Tsai HE, White TG, Glenzer SH, McBride EE. Evidence for phonon hardening in laser-excited gold using x-ray diffraction at a hard x-ray free electron laser. Sci Adv 2024; 10:eadh5272. [PMID: 38335288 PMCID: PMC10857355 DOI: 10.1126/sciadv.adh5272] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 03/10/2023] [Accepted: 01/10/2024] [Indexed: 02/12/2024]
Abstract
Studies of laser-heated materials on femtosecond timescales have shown that the interatomic potential can be perturbed at sufficiently high laser intensities. For gold, it has been postulated to undergo a strong stiffening leading to an increase of the phonon energies, known as phonon hardening. Despite efforts to investigate this behavior, only measurements at low absorbed energy density have been performed, for which the interpretation of the experimental data remains ambiguous. By using in situ single-shot x-ray diffraction at a hard x-ray free-electron laser, the evolution of diffraction line intensities of laser-excited Au to a higher energy density provides evidence for phonon hardening.
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Affiliation(s)
- Adrien 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
- School of Mathematics and Physics, Queen’s University Belfast, University Road, Belfast BT7 1NN, UK
| | - Benjamin K. Ofori-Okai
- 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
| | - Oliviero Bistoni
- CEA/DAM DIF, F-91297 Arpajon Cedex, France
- Université Paris-Saclay, CEA, Laboratoire Matière en Conditions Extrêmes, 91680 Bruyères-le-Châtel, France
| | - Zhijiang Chen
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - Eric Cunningham
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - Luke B. Fletcher
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - Nicholas J. Hartley
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - Jerome B. Hastings
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - Dimitri Khaghani
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - Mianzhen Mo
- 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
| | - Bob Nagler
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - Vanina Recoules
- CEA/DAM DIF, F-91297 Arpajon Cedex, France
- Université Paris-Saclay, CEA, Laboratoire Matière en Conditions Extrêmes, 91680 Bruyères-le-Châtel, France
| | - Ronald Redmer
- Institut für Physik, Universität Rostock, Albert-Einstein-Straße 23, 18059 Rostock, Germany
| | - Maximilian Schörner
- Institut für Physik, Universität Rostock, Albert-Einstein-Straße 23, 18059 Rostock, Germany
| | - Debbie G. Senesky
- Aeronautics and Astronautics Department, Stanford University, 450 Serra Mall, Stanford, CA 94305, USA
| | - Peihao Sun
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - Hai-En Tsai
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | | | - Siegfried H. Glenzer
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - Emma E. McBride
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
- School of Mathematics and Physics, Queen’s University Belfast, University Road, Belfast BT7 1NN, UK
- PULSE Institute, SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
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2
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Schörner M, Bethkenhagen M, Döppner T, Kraus D, Fletcher LB, Glenzer SH, Redmer R. X-ray Thomson scattering spectra from density functional theory molecular dynamics simulations based on a modified Chihara formula. Phys Rev E 2023; 107:065207. [PMID: 37464593 DOI: 10.1103/physreve.107.065207] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/04/2023] [Accepted: 05/10/2023] [Indexed: 07/20/2023]
Abstract
We study ab initio approaches for calculating x-ray Thomson scattering spectra from density functional theory molecular dynamics simulations based on a modified Chihara formula that expresses the inelastic contribution in terms of the dielectric function. We study the electronic dynamic structure factor computed from the Mermin dielectric function using an ab initio electron-ion collision frequency in comparison to computations using a linear-response time-dependent density functional theory (LR-TDDFT) framework for hydrogen and beryllium and investigate the dispersion of free-free and bound-free contributions to the scattering signal. A separate treatment of these contributions, where only the free-free part follows the Mermin dispersion, shows good agreement with LR-TDDFT results for ambient-density beryllium, but breaks down for highly compressed matter where the bound states become pressure ionized. LR-TDDFT is used to reanalyze x-ray Thomson scattering experiments on beryllium demonstrating strong deviations from the plasma conditions inferred with traditional analytic models at small scattering angles.
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Affiliation(s)
| | - Mandy Bethkenhagen
- École Normale Supérieure de Lyon, Laboratoire de Géologie de Lyon, CNRS UMR 5276, 69364 Lyon, Cedex 07, France
- Institute of Science and Technology Austria, Am Campus 1, 3400 Klosterneuburg, Austria
| | - Tilo Döppner
- Lawrence Livermore National Laboratory, Livermore, California 94551, USA
| | - Dominik Kraus
- University of Rostock, Institute of Physics, 18051 Rostock, Germany
- Helmholtz-Zentrum Dresden-Rossendorf, 01328 Dresden, Germany
| | - Luke B Fletcher
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | | | - Ronald Redmer
- University of Rostock, Institute of Physics, 18051 Rostock, Germany
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3
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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.
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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
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4
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Haagen V, Schörner M, Albert J, Franken T, Schühle P. Highly Selective Synthesis of Methanol from Glucose in a Two‐Step Process. CHEM-ING-TECH 2022. [DOI: 10.1002/cite.202255070] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- V. Haagen
- Forschungszentrum Jülich GmbH Helmholtz Institute Erlangen-Nürnberg for Renewable Energy Cauerstr. 1 91058 Erlangen Germany
| | - M. Schörner
- Forschungszentrum Jülich GmbH Helmholtz Institute Erlangen-Nürnberg for Renewable Energy Cauerstr. 1 91058 Erlangen Germany
| | - J. Albert
- University of Hamburg Institute for Technical and Macromolecular Chemistry Bundesstr. 45 20146 Hamburg Germany
| | - T. Franken
- Friedrich-Alexander-Universität Erlangen-Nürnberg Institute of Chemical Reaction Engineering Egerlandstr. 3 91058 Erlangen Germany
| | - P. Schühle
- Friedrich-Alexander-Universität Erlangen-Nürnberg Institute of Chemical Reaction Engineering Egerlandstr. 3 91058 Erlangen Germany
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5
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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.
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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
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6
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French M, Röpke G, Schörner M, Bethkenhagen M, Desjarlais MP, Redmer R. Electronic transport coefficients from density functional theory across the plasma plane. Phys Rev E 2022; 105:065204. [PMID: 35854489 DOI: 10.1103/physreve.105.065204] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/01/2022] [Accepted: 05/18/2022] [Indexed: 06/15/2023]
Abstract
We investigate the thermopower and Lorenz number of hydrogen with Kohn-Sham density functional theory (DFT) across the plasma plane toward the near-classical limit, i.e., weakly degenerate and weakly coupled states. Our results are in concordance with certain limiting values for the Lorentz plasma, a model system which only considers electron-ion scattering. Thereby, we clearly show that the widely used method of calculating transport properties via the Kubo-Greenwood (KG) formalism does not capture electron-electron scattering processes. Our discussion also addresses the inadequateness of assuming a Drude-like frequency behavior for the conductivity of nondegenerate plasmas by revisiting the relaxation time approximation within kinetic theory.
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Affiliation(s)
- Martin French
- Universität Rostock, Institut für Physik, Albert-Einstein-Str. 23-24, D-18059 Rostock, Germany
| | - Gerd Röpke
- Universität Rostock, Institut für Physik, Albert-Einstein-Str. 23-24, D-18059 Rostock, Germany
| | - Maximilian Schörner
- Universität Rostock, Institut für Physik, Albert-Einstein-Str. 23-24, D-18059 Rostock, Germany
| | - Mandy Bethkenhagen
- Universität Rostock, Institut für Physik, Albert-Einstein-Str. 23-24, D-18059 Rostock, Germany
- École Normale Supérieure de Lyon, Université Lyon 1, Laboratoire de Géologie de Lyon, CNRS UMR 5276, 69364 Lyon Cedex 07, France
| | | | - Ronald Redmer
- Universität Rostock, Institut für Physik, Albert-Einstein-Str. 23-24, D-18059 Rostock, Germany
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7
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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.
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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
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8
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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}
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\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}
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\begin{document}$$155 \pm 20$$\end{document}155±20) GPa and (\documentclass[12pt]{minimal}
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\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.
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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
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