Solid-Density Ion Temperature from Redshifted and Double-Peaked Stark Line Shapes

Kraus, B. F.; Gao, Lan; Hill, K. W.; Bitter, M.; Efthimion, P. C.; Gomez, T.  A.; Moreau, A.; Hollinger, R.; Wang, Shoujun; Song, Huanyu; Rocca, J. J.; Mancini, R. C.

doi:10.1103/physrevlett.127.205001

Solid-Density Ion Temperature from Redshifted and Double-Peaked Stark Line Shapes

Journal Article · Thu Nov 11 23:00:00 EST 2021 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.127.205001· OSTI ID:1829994

^[1]; ^[2]; ^[2]; Bitter, M. ^[2]; Efthimion, P. C. ^[2]; ^[3]; ^[4]; ^[4]; ^[4]; ^[4]; Rocca, J. J. ^[4]; Mancini, R. C. ^[5]

Princeton Univ., NJ (United States); Princeton Plasma Physics Laboratory
Princeton Univ., NJ (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Colorado State Univ., Fort Collins, CO (United States)
Univ. of Nevada, Reno, NV (United States)

Heβ spectral line shapes are important for diagnosing temperature and density in many dense plasmas. This work presents Heβ line shapes measured with high spectral resolution from solid-density plasmas with minimized gradients. The line shapes show hallmark features of Stark broadening, including quantifiable redshifts and double-peaked structure with a significant dip between the peaks; these features are compared to models through a Markov chain Monte Carlo framework. Line shape theory using the dipole approximation can fit the width and peak separation of measured line shapes, but it cannot resolve an ambiguity between electron density n_e and ion temperature T_i, since both parameters influence the strength of quasistatic ion microfields. Here a line shape model employing a full Coulomb interaction for the electron broadening computes self-consistent line widths and redshifts through the monopole term; redshifts have different dependence on plasma parameters and thus resolve the n_e – T_i ambiguity. The measured line shapes indicate densities that are 80–100% of solid, identifying a regime of highly ionized but well-tamped plasma. This analysis also provides the first strong evidence that dense ions and electrons are not in thermal equilibrium, despite equilibration times much shorter than the duration of x-ray emission; cooler ions may arise from nonclassical thermalization rates or anomalous energy transport. Furthermore, the experimental platform and diagnostic technique constitute a promising new approach for studying ion-electron equilibration in dense plasmas.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE National Nuclear Security Administration (NNSA)

Contributing Organization:: Lawrence Livermore National Laboratory (LLNL)

Grant/Contract Number:: SC0021246; AC52-07NA27344; AC02-09CH11466; NA0003525

OSTI ID:: 1829994

Alternate ID(s):: OSTI ID: 1834099

Report Number(s):: DOE-PPPL--AC0209

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 20 Vol. 127; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (44)

Calculational aspects of the Stark line broadening of multielectron ions in plasmas Mancini, R. C.; Kilcrease, D. P.; Woltz, L. A. Computer Physics Communications, Vol. 63, Issue 1-3 https://doi.org/10.1016/0010-4655(91)90258-M	journal	February 1991
Effect of fine-structure splitting on the shape of the Lyman α line profile of high-z emitters in ultra dense plasmas Lee, R. W. Physics Letters A, Vol. 71, Issue 2-3 https://doi.org/10.1016/0375-9601(79)90169-5	journal	April 1979
Characterization of time resolved, buried layer plasmas produced by ultrashort laser pulses Fournier, K. B.; Young, B. K. F.; Moon, S. J. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 71, Issue 2-6 https://doi.org/10.1016/S0022-4073(01)00080-2	journal	October 2001
Cretin—a radiative transfer capability for laboratory plasmas Scott, Howard A. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 71, Issue 2-6 https://doi.org/10.1016/S0022-4073(01)00109-1	journal	October 2001
Fast electric microfield distribution calculations in extreme matter conditions Iglesias, C. A.; Rogers, F. J.; Shepherd, R. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 65, Issue 1-3 https://doi.org/10.1016/S0022-4073(99)00076-X	journal	April 2000
Hybrid atomic models for spectroscopic plasma diagnostics Hansen, S. B.; Bauche, J.; Bauche-Arnoult, C. High Energy Density Physics, Vol. 3, Issue 1-2 https://doi.org/10.1016/j.hedp.2007.02.032	journal	May 2007
Plasma line broadening and computer simulations: A mini-review Stambulchik, E.; Maron, Y. High Energy Density Physics, Vol. 6, Issue 1 https://doi.org/10.1016/j.hedp.2009.07.001	journal	January 2010
The effect of improved satellite line shapes on the argon Heβ spectral feature Mancini, R. C.; Iglesias, C. A.; Ferri, S. High Energy Density Physics, Vol. 9, Issue 4 https://doi.org/10.1016/j.hedp.2013.08.002	journal	December 2013
Spectral line decomposition and frequency shifts in Al Heα group emission from laser-produced plasma Renner, O.; Adámek, P.; Angelo, P. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 99, Issue 1-3 https://doi.org/10.1016/j.jqsrt.2005.05.042	journal	May 2006
A Particle X-ray Temporal Diagnostic (PXTD) for studies of kinetic, multi-ion effects, and ion-electron equilibration rates in Inertial Confinement Fusion plasmas at OMEGA (invited) Sio, H.; Frenje, J. A.; Katz, J. Review of Scientific Instruments, Vol. 87, Issue 11 https://doi.org/10.1063/1.4961552	journal	September 2016
On krypton-doped capsule implosion experiments at the National Ignition Facility Chen, Hui; Ma, T.; Nora, R. Physics of Plasmas, Vol. 24, Issue 7 https://doi.org/10.1063/1.4993049	journal	July 2017
An analytical plasma screening potential based on the self-consistent-field ion-sphere model Li, X.; Rosmej, F. B.; Lisitsa, V. S. Physics of Plasmas, Vol. 26, Issue 3 https://doi.org/10.1063/1.5055689	journal	March 2019
Comparing plasma conditions in short-pulse-heated foils via fine-structure x-ray emission Kraus, B. F.; Chien, A.; Gao, Lan Review of Scientific Instruments, Vol. 92, Issue 3 https://doi.org/10.1063/5.0043524	journal	March 2021
Stark Broadening in Astrophysics (Applications of Belgrade School Results and Collaboration with Former Soviet Republics) Dimitrijević, Milan S. Astronomical & Astrophysical Transactions, Vol. 22, Issue 4-5 https://doi.org/10.1080/1055679031000108167	journal	August 2003
Pressure Broadening of Absorption Lines in Neutron Star Atmospheres and Prospects for Measuring Neutron Star Masses and Radii Paerels, Frits The Astrophysical Journal, Vol. 476, Issue 1 https://doi.org/10.1086/310485	journal	February 1997
`emcee` : The MCMC Hammer Foreman-Mackey, Daniel; Hogg, David W.; Lang, Dustin Publications of the Astronomical Society of the Pacific, Vol. 125, Issue 925 https://doi.org/10.1086/670067	journal	March 2013
Spectroscopic Analysis of da White Dwarfs: Stark Broadening of Hydrogen Lines Including Nonideal Effects Tremblay, P. -E.; Bergeron, P. The Astrophysical Journal, Vol. 696, Issue 2 https://doi.org/10.1088/0004-637X/696/2/1755	journal	April 2009
LABORATORY MEASUREMENTS OF WHITE DWARF PHOTOSPHERIC SPECTRAL LINES: H β Falcon, Ross E.; Rochau, G. A.; Bailey, J. E. The Astrophysical Journal, Vol. 806, Issue 2 https://doi.org/10.1088/0004-637X/806/2/214	journal	June 2015
Stark broadening models for plasma diagnostics Gigosos, Marco Antonio Journal of Physics D: Applied Physics, Vol. 47, Issue 34 https://doi.org/10.1088/0022-3727/47/34/343001	journal	August 2014
Electron-ion equilibration in a partially degenerate plasma Brysk, H. Plasma Physics, Vol. 16, Issue 10 https://doi.org/10.1088/0032-1028/16/10/005	journal	October 1974
Stark effect of high- n hydrogen-like transitions: quasi-contiguous approximation Stambulchik, Evgeny; Maron, Yitzhak Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 41, Issue 9 https://doi.org/10.1088/0953-4075/41/9/095703	journal	April 2008
Evidence of plasma polarization shift of Ti He-α resonance line in high density laser produced plasmas Khattak, F. Y.; Sert, O. A. M. B. Percie du; Rosmej, F. B. Journal of Physics: Conference Series, Vol. 397 https://doi.org/10.1088/1742-6596/397/1/012020	journal	December 2012
General Impact Theory of Pressure Broadening Baranger, Michel Physical Review, Vol. 112, Issue 3 https://doi.org/10.1103/PhysRev.112.855	journal	November 1958
High-resolution measurements of Cl 15 + line shifts in hot, solid-density plasmas Beiersdorfer, P.; Brown, G. V.; McKelvey, A. Physical Review A, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevA.100.012511	journal	July 2019
Stark shift and width of x-ray lines from highly charged ions in dense plasmas Gu, M. F.; Beiersdorfer, P. Physical Review A, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevA.101.032501	journal	March 2020
Low-frequency electric microfield distributions in a plasma containing multiply-charged ions: Extended calculations Tighe, Richard J.; Hooper, C. F. Physical Review A, Vol. 15, Issue 4 https://doi.org/10.1103/PhysRevA.15.1773	journal	April 1977
Low-frequency electric microfield distributions in plasmas Iglesias, Carlos A.; DeWitt, Hugh E.; Lebowitz, Joel L. Physical Review A, Vol. 31, Issue 3 https://doi.org/10.1103/PhysRevA.31.1698	journal	March 1985
Atomic structure and polarization line shift in dense and hot plasmas Nguyen, Hoe; Koenig, Michel; Benredjem, Djamel Physical Review A, Vol. 33, Issue 2 https://doi.org/10.1103/PhysRevA.33.1279	journal	February 1986
Effect of higher-order multipole moments on the Stark line shape Gomez, T. A.; Nagayama, T.; Kilcrease, D. P. Physical Review A, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevA.94.022501	journal	August 2016
Effects of ion dynamics and opacity on Stark-broadened argon line profiles Haynes, D. A.; Garber, D. T.; Hooper, C. F. Physical Review E, Vol. 53, Issue 1 https://doi.org/10.1103/PhysRevE.53.1042	journal	January 1996
Evolution of electron temperature and electron density in indirectly driven spherical implosions Woolsey, N. C.; Hammel, B. A.; Keane, C. J. Physical Review E, Vol. 56, Issue 2 https://doi.org/10.1103/PhysRevE.56.2314	journal	August 1997
Energy relaxation and the quasiequation of state of a dense two-temperature nonequilibrium plasma Dharma-wardana, M. W. C.; Perrot, François Physical Review E, Vol. 58, Issue 3 https://doi.org/10.1103/PhysRevE.58.3705	journal	September 1998
Full Coulomb calculation of Stark broadened spectra from multielectron ions: A focus on the dense plasma line shift Junkel, G. C.; Gunderson, M. A.; Hooper, C. F. Physical Review E, Vol. 62, Issue 4 https://doi.org/10.1103/PhysRevE.62.5584	journal	October 2000
Electric microfield distributions in electron-ion plasmas Potekhin, Alexander Y.; Chabrier, Gilles; Gilles, Dominique Physical Review E, Vol. 65, Issue 3 https://doi.org/10.1103/PhysRevE.65.036412	journal	March 2002
Laser Heating of Solid Matter by Light-Pressure-Driven Shocks at Ultrarelativistic Intensities Akli, K. U.; Hansen, S. B.; Kemp, A. J. Physical Review Letters, Vol. 100, Issue 16 https://doi.org/10.1103/PhysRevLett.100.165002	journal	April 2008
Measurements of Electron Transport in Foils Irradiated with a Picosecond Time Scale Laser Pulse Brown, C. R. D.; Hoarty, D. J.; James, S. F. Physical Review Letters, Vol. 106, Issue 18 https://doi.org/10.1103/PhysRevLett.106.185003	journal	May 2011
Electron-Ion Equilibration in Ultrafast Heated Graphite White, T. G.; Hartley, N. J.; Borm, B. Physical Review Letters, Vol. 112, Issue 14 https://doi.org/10.1103/PhysRevLett.112.145005	journal	April 2014
Determination of the Ion Temperature in a High-Energy-Density Plasma Using the Stark Effect Alumot, Dror; Kroupp, Eyal; Stambulchik, Evgeny Physical Review Letters, Vol. 122, Issue 9 https://doi.org/10.1103/PhysRevLett.122.095001	journal	March 2019
Isochoric Heating of Solid Aluminum by Ultrashort Laser Pulses Focused on a Tamped Target Saemann, A.; Eidmann, K.; Golovkin, I. E. Physical Review Letters, Vol. 82, Issue 24 https://doi.org/10.1103/PhysRevLett.82.4843	journal	June 1999
Spectroscopic Determination of Dynamic Plasma Gradients in Implosion Cores Golovkin, I.; Mancini, R.; Louis, S. Physical Review Letters, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevLett.88.045002	journal	January 2002
The flexible atomic code Gu, M. F. Canadian Journal of Physics, Vol. 86, Issue 5 https://doi.org/10.1139/p07-197	journal	May 2008
085 PW laser operation at 33 Hz and high-contrast ultrahigh-intensity λ = 400 nm second-harmonic beamline Wang, Yong; Wang, Shoujun; Rockwood, Alex Optics Letters, Vol. 42, Issue 19 https://doi.org/10.1364/OL.42.003828	journal	January 2017
Ensemble samplers with affine invariance Goodman, Jonathan; Weare, Jonathan Communications in Applied Mathematics and Computational Science, Vol. 5, Issue 1 https://doi.org/10.2140/camcos.2010.5.65	journal	January 2010
Ion Dynamics Effect on Stark-Broadened Line Shapes: A Cross-Comparison of Various Models Ferri, Sandrine; Calisti, Annette; Mossé, Caroline Atoms, Vol. 2, Issue 3 https://doi.org/10.3390/atoms2030299	journal	July 2014

Similar Records

Stark broadening in laser-produced plasmas: full Coulomb calculation

Thesis/Dissertation · Thu Dec 31 23:00:00 EST 1981 · OSTI ID:5002418

Ion quadrupole effects in spectral line broadening

Conference · Sat Dec 31 23:00:00 EST 1983 · OSTI ID:6381612

Effects of plasma microfields on radiative transitions from atomic levels above the ionization threshold

Journal Article · Fri Oct 31 23:00:00 EST 1975 · Phys. Rev., A, v. 12, no. 5, pp. 2017-2023 · OSTI ID:4122752

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Bragg spectroscopy
HED plasma
High intensity laser-plasma interactions
High-energy-density plasmas
Hot dense plasma
Ion-electron equilibration
Stark line shape
X-ray emission spectroscopy

Solid-Density Ion Temperature from Redshifted and Double-Peaked Stark Line Shapes

Citation Formats

References (44)

Similar Records

Related Subjects