Measurement of carbon ionization balance in high-temperature plasma mixtures by temporally resolved X-ray scattering

Abstract We have measured carbon ionization balance in a multi-component plasma in the high-temperature, up to fully ionized, regime by spectrally resolved X-ray scattering. In particular, the measurements have been performed in an underdense ( n e ≈ 10 21  cm - 3 ) 0.35- μ m laser-produced plasma, containing a mixture of C, H with Al and Ar impurities, by using time-resolved back-scattered spectra from a 9.0 keV Zn He- α X-ray probe detected with a high-efficiency graphite Bragg crystal coupled to a framing camera. Measured values for the plasma temperature and carbon ionization state as well as impurity concentrations were obtained by fitting the Doppler-broadened and Compton-shifted scattered spectra at various times after the plasma heating with a modified X-ray form factor that includes the full effects of cross-correlation between different species. These data test collisional-radiative and radiation hydrodynamics modeling from cold ( T e ≲ 5  eV) to fully ionized carbon ( T e ∼ 280  eV).

[1]  Gregory A. Moses,et al.  Inertial confinement fusion , 1982 .

[2]  A. Davletov,et al.  SCREENED PSEUDOPOTENTIAL AND STATIC STRUCTURE FACTORS OF SEMICLASSICAL TWO-COMPONENT PLASMAS , 1998 .

[3]  J. T. Larsen,et al.  A time-dependent model for plasma spectroscopy of K-shell emitters , 1996 .

[4]  J. Moody,et al.  Production and characterization of large plasmas from gas bag targets on Nova , 1995 .

[5]  Perrot,et al.  Simple classical mapping of the spin-polarized quantum electron gas: distribution functions and local-field corrections , 1999, Physical review letters.

[6]  D. Pines A Collective Description of Electron Interactions: II. Collective vs Individual Particle Aspects of the Interactions , 1952 .

[7]  J. Moody,et al.  FIRST MEASUREMENT OF SHORT LENGTH-SCALE DENSITY FLUCTUATIONS IN A LARGE LASER PLASMA , 1999 .

[8]  D. Evans,et al.  Laser light scattering in laboratory plasmas , 1969 .

[9]  O. Landen,et al.  Demonstration of spectrally resolved x-ray scattering in dense plasmas. , 2003, Physical review letters.

[10]  B. MacGowan,et al.  THOMSON SCATTERING FROM HIGH-Z LASER-PRODUCED PLASMAS , 1999 .

[11]  Otto L. Landen,et al.  X-ray scattering from solid density plasmas , 2003 .

[12]  M. Dharma-wardana,et al.  Spin-polarized electron liquid at arbitrary temperatures: Exchange-correlation energies, electron-distribution functions, and the static response functions , 2000 .

[13]  C. Deutsch Nodal expansion in a real matter plasma , 1977 .

[14]  M. Schumacher,et al.  Incoherent scattering of gamma rays by inner-shell electrons , 1975 .

[15]  C. Deutsch,et al.  Classical modelization of symmetry effects in the dense high-temperature electron gas , 1978 .

[16]  R. Redmer ELECTRICAL CONDUCTIVITY OF DENSE METAL PLASMAS , 1999 .

[17]  Bruce A. Hammel,et al.  Dense matter characterization by X-ray Thomson scattering , 2001 .

[18]  E. Feenberg,et al.  Theory of Quantum Fluids , 1970 .

[19]  J. Knauer,et al.  The Role of the Laboratory for Laser Energetics in the National Ignition Facility Project , 1996 .

[20]  O. L. Landen,et al.  X-Ray Line Measurements with High Efficiency Bragg Crystals , 2004 .

[21]  Hammel,et al.  Accuracy of K-shell spectra modeling in high-density plasmas , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[22]  O. Landen,et al.  Theoretical model of x-ray scattering as a dense matter probe. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  O. Landen,et al.  Strong coupling corrections in the analysis of x-ray Thomson scattering measurements , 2003 .

[24]  W. Kruer,et al.  The Physics of Laser Plasma Interactions , 2019 .

[25]  H. Totsuji Lower Bounds for Correlation Energy of Mixtures of Charged Hard Spheres , 1981 .

[26]  L. Divol,et al.  Hydrodynamics simulations of 2ω laser propagation in underdense gasbag plasmas , 2004 .

[27]  Edwin E. Salpeter,et al.  ELECTRON DENSITY FLUCTUATIONS IN A PLASMA , 1960 .

[28]  Richard Lee,et al.  FLYCHK: an extension to the K-shell spectroscopy kinetics model FLY. , 2003 .

[29]  J. Chihara Difference in X-ray scattering between metallic and non-metallic liquids due to conduction electrons , 1987 .

[30]  Otto L. Landen,et al.  Electronic structure measurements of dense plasmas , 2004 .

[31]  Ronald Redmer,et al.  X-ray Thomson scattering in warm dense matter , 2004 .

[32]  Weber,et al.  Three-dimensional single mode Rayleigh-Taylor experiments on nova. , 1995, Physical review letters.

[33]  Redmer,et al.  Transport coefficients for dense metal plasmas , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[34]  P. Eisenberger,et al.  Compton Scattering of X Rays from Bound Electrons , 1970 .

[35]  Junzo Chihara,et al.  Interaction of photons with plasmas and liquid metals - photoabsorption and scattering , 1999, cond-mat/9909372.

[36]  Weaver,et al.  X-Ray diffraction from a dense plasma , 2000, Physical review letters.