Matter and Radiation at Extremes, Volume. 9, Issue 6, 067202(2024)
Hollow ion atomic structure and X-ray emission in dense hot plasmas
Figures & Tables(6)
Fig. 1. Hollow ion X-ray transition energies (resonance cases are indicated by the solid squares connected by the black line) and ionization energies for excitation channels I and II for free ions (dashed red and green lines) and ions immersed in dense plasmas (solid red and green lines). Solid and dashed lines are simple linear fits to better guide the eye for each excitation channel.
Fig. 2. Hollow ion X-ray transition energies (red circles in blue rectangles) and ionization energies for excitation channels III and IV for free ions (dashed red and green lines) and ions immersed in dense plasmas (solid red and green lines). The below-resonance emission for
Fig. 3. Hollow ion X-ray transition energies (the resonance case is indicated by red circles in blue rectangles) and ionization energies for excitation channels V and VI for free ions (dashed red and green lines) and ions immersed in dense plasmas (solid red and green lines). The below-resonance emission corresponds to the blue area below the resonance position (diffuse red circles inside blue rectangles) in the vertical direction.
Table 1. Comparison of Kα transition energies as well as K-edge energies in solid and vapor for magnesium with reference data.
57 The present theory is based on self-consistent field multiconfiguration Hartree–Fock calculations including configuration interaction and exact exchange terms. No shifts or Coulomb scaling parameters have been applied in the present simulations.View tableView in ArticleTable 1. Comparison of Kα transition energies as well as K-edge energies in solid and vapor for magnesium with reference data.
57 The present theory is based on self-consistent field multiconfiguration Hartree–Fock calculations including configuration interaction and exact exchange terms. No shifts or Coulomb scaling parameters have been applied in the present simulations.Designation Present theory (eV) Experiment 57 (eV)Theory 57 (eV)Kα1 1255.0 1253.4 1254.1 Kα2 1255.4 1253.7 1254.4 K-edge vapor 1312.2 1311.3 1312.3 K-edge solid 1303.5 1303.3 1312.3
Table 2. Ionization energies for the transitions K1LN → K0LN + Ez(K1) and K2LN → K1LN + Ez(K2) of magnesium of plasma-free ions and ions in dense plasmas. The present theory is based on self-consistent multiconfiguration Hartree–Fock calculations taking into account a dense-plasma potential according to Eqs.
(1) –(5) , with respective plasma parameters attributed to each L-shell configuration. Note that no calibration shifts or Coulomb scaling parameters have been applied in the ab initio Hartree–Fock calculations that take into account the exact exchange term.View tableView in ArticleTable 2. Ionization energies for the transitions K1LN → K0LN + Ez(K1) and K2LN → K1LN + Ez(K2) of magnesium of plasma-free ions and ions in dense plasmas. The present theory is based on self-consistent multiconfiguration Hartree–Fock calculations taking into account a dense-plasma potential according to Eqs.
(1) –(5) , with respective plasma parameters attributed to each L-shell configuration. Note that no calibration shifts or Coulomb scaling parameters have been applied in the ab initio Hartree–Fock calculations that take into account the exact exchange term.Core Plasma-free (eV) Plasma (eV) Core Plasma-free (eV) Plasma (eV) K1L8 1494 1453 K2L8 1376 1330 K1L7 1541 1492 K2L7 1420 1359 K1L6 1592 1528 K2L6 1470 1394 K1L5 1647 1569 K2L5 1524 1435 K1L4 1707 1617 K2L4 1582 1477 K1L3 1770 1664 K2L3 1645 1527 K1L2 1839 1721 K2L2 1702 1571 K1L1 1900 1769 K2L1 1762 1618
Table 3. Hollow ion transition energies
of magnesium ions. Experimental transition energies are deduced from an X-ray image. 69 The present theory is based on self-consistent multiconfiguration Hartree–Fock calculations, taking into account a dense-plasma environment [Eqs.(1) –(5) ], with respective plasma parameters correlated to each L-shell configuration.39 View tableView in ArticleTable 3. Hollow ion transition energies
of magnesium ions. Experimental transition energies are deduced from an X-ray image. 69 The present theory is based on self-consistent multiconfiguration Hartree–Fock calculations, taking into account a dense-plasma environment [Eqs.(1) –(5) ], with respective plasma parameters correlated to each L-shell configuration.39 Core Experiment (eV) Present theory (plasma) (eV) Present theory (plasma-free) (eV) K0L8 1373 ± 3 1367–1368 1367–1368 K0L7 1384 ± 4 1379–1382 1380–1383 K0L6 1395 ± 5 1382–1396 1384–1399 K0L5 1409 ± 5 1393–1410 1393–1412 K0L4 1422 ± 6 1410–1429 1412–1432 K0L3 1437 ± 7 1426–1444 1428–1447 K0L2 1454 ± 7 1448–1466 1450–1469 K0L1 1472 ± 6 1469–1470 1472–1473
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Frank B. Rosmej, Christopher J. Fontes. Hollow ion atomic structure and X-ray emission in dense hot plasmas[J]. Matter and Radiation at Extremes, 2024, 9(6): 067202
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Received: Jun. 28, 2024
Accepted: Aug. 20, 2024
Published Online: Jan. 8, 2025
The Author Email: Frank B. Rosmej (frank.rosmej@sorbonne-universite.fr)
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