sakamoto_2010

N. Sakamoto, H. Tsuchida, T. Kato, S. Kamakura, H. Ogawa, K. Ishii, I. Murakami, D. Kato, H. Sakaue, M. Kato, J. Berkowitz and M. Inokuti, “Oscillator strength spectra and related quantities of 9 atoms and 23 molecules over the entire energy region”, NIFS-DATA-109 (National Institute for Fusion Science, Toki, 2010)

Source record · Catalogue · Review register

No DOI is recorded.

Source kind: compilation

Recorded technique: Reconstruction of Berkowitz’s recommended photoabsorption (J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), ‘Berkowitz’s book’ below) over the whole energy range, per species: the book’s tables of discrete oscillator strengths; its continuum given as tables, as four-term polynomials df/dE = a y^2 + b y^3 + c y^4 + d y^5 (y proportional to 1/E), as figures (digitised by the authors) or only as partial moments S(p) (then the original papers’ data were used and adjusted until S(0) and S(1) of the interval agreed with the book’s to +-1 %); above 10^4 eV Chantler (1995) and above 10^5 eV a hydrogenic K-shell formula. Every partial moment was recomputed and compared with the book; the disagreements were settled with Berkowitz (a coauthor) (PDF pp. 5-7). Per species: Table I (and II ...) discrete f, then df/dE, sigma_a = 109.76097 df/dE (Mb, df/dE in eV^-1) and the mass absorption coefficient against photon energy (eV), and a table of the source of each energy interval.

Materials in structured entries: Ar, CH4, CO, CO2, H2, He, N2, N2O, Ne, O2, O3, SF6

Dataset quantities: oscillator_strength

Contents: 22 datasets; 12 formulas.

Curation notes

Identity checked against the title page (PDF p. 3): the title, the twelve authors and ‘NIFS-DATA-109’ as cited; the library’s identity is ASSERTED (a BibTeX entry supplied with the files), no DOI. A ‘preprint’ of NIFS (PDF p. 1). Page numbers below are PDF pages. The electronic tables are the NIFS database’s text files, attached to the report in the library with their URLs (retrieved 2026-09-25). Only He, Ne, Ar, H2, N2, O2, CO, CO2, N2O, O3, CH4 and SF6 are curated; H, Li, N, O, Na, Cl, NO, HCl, H2O, NO2, H2S, SO2, NH3, C2H2, C2H4, C2H6, CH3OH, C6H6, SiH4 and C60 are skipped.

DEFINITIONS (pp. 4-5): S(p) = sum_n f_n E_n^p + integral_IP^inf E^p (df/dE) dE, -2 <= p <= 2, ‘we use the Rydberg energy Ry = 13.606 eV as the unit of E throughout’ (so alpha = 4 S(-2) in atomic units); S(-2) and S(0) ‘we used ... as constraints to the selection of the magnitude of a measured oscillator-strength spectrum’; the TRK sum rule ‘should be accurate to ~0.1%’. No uncertainty is stated for any value, and no S(p) total or polarizability is printed for any species: the report gives the distributions only.

WHAT IS EXTRACTED: the discrete tables (22 datasets, 443 rows; extraction script sakamoto_2010.py, which reads the NIFS text files, not the library’s cells: see its docstring). All rows are Berkowitz’s recommended values copied from his book’s tables (the sources tables below), so every dataset is ‘reproduced’ from the book (not in the library), helium Table I from berkowitz_1997. No uncertainty stated. The continuum tables are not extracted: they are the NIFS files themselves.

CHECK OF THE NIFS FILES AGAINST THE PDF (2026-09-25): pdftotext -layout of pp. 14-258 against every file: each numeric row of each file (discrete, interval and continuum; 102 He, 96 Ne, 226 Ar, 326 H2, 289 N2, 741 O2, 352 CO, 1217 CO2, 682 N2O, 540 O3, 285 CH4, 487 SF6) is a run of cells on one printed line, and the multisets of the numbers agree exactly for every species. Page images checked by eye: every discrete table (pp. 14, 28, 37, 42-44, 47, 53, 65, 120) and a continuum page per species (pp. 15, 29, 39, 44, 47, 53 and 60, 65, 110, 120, 173, 190, 254). Internal consistency of every row: E x lambda = hc to 2e-4, sigma_a = 109.76097 df/dE and mu_m = sigma_a N_A / M_A to 3e-4, with one exception: HELIUM’s df/dE column from 1.25e4 to 1e5 eV (17 rows) prints ‘.80404E-10’ ... ‘.62035E-13’, a factor 10 too small (sigma_a/df/dE = 1097.6, not 109.76; the page image prints the same; the sigma_a and mu_m columns are right and agree with the high-energy formula below to 1e-5 at 2e4 and 1e5 eV). A loader of the helium file must use sigma_a (or df/dE x 10) there.

HOW THE CONTINUUM JOINS THE LINES (first continuum row; the NIFS files): He: lines 21.218-24.572 eV (n = 2-20, and the sum n >= 21 at 24.572 eV); continuum from 24.587 eV (the IP, 24.5874). Table II’s ‘excess’ strengths of the two-electron resonances (60.15-72.55 eV) are added to the smooth continuum (tabulated on a 10 eV grid there). Ne: lines 16.671-21.622 eV; continuum from 21.661 eV (the sources table’s first boundary); the 2s -> np resonances (44.98-48.83 eV) sit on the continuum; the K-edge resonances (867.05-869.63 eV) below the continuum step at 870.25 eV (printed twice). Ar: lines 11.624-15.852 eV, including series sums and the ‘underlying continuum between 2P3/2 and 2P1/2’ as one f (mark d, at 15.852 eV); continuum from 15.937 eV. Table II’s NEGATIVE strengths (26.61-29.10 eV) are the window resonances of the 3s -> np series: to be subtracted from the smooth continuum (tabulated at 25, 27.5, 30 eV). K-edge line at 3203.3 eV (Deslattes et al.), continuum step at 3206 eV. H2: bands below the IP (Lyman 11.18-14.67, Werner 12.29-14.67, B’ 13.70-14.67, D 13.99-16.52, higher Rydbergs 14.60-15.40 eV) and above it (D-state bands to 16.52, predissociation 15.58-16.21, autoionisation 15.435-16.975 eV), on a continuum that starts at 15.426 eV (the IP, 15.4258) with only two points below 17.5 eV (0.0130 and 0.0959 eV^-1). The sources table lists Glass-Maujean et al.’s dissociation continua below and above the IP, but no table holds them: they are missing or folded into the bands (TC-219). N2: lines 12.500-14.839 eV; continuum from 14.920 eV, below the IP (15.58: Chan et al.’s spectrum as df/dE from 14.92 eV); K-edge resonances 401.0-406.8 eV (Table II), continuum from 407.4 eV (Zhadenov et al.). O2: continuum 7.125-9.75 eV (the Schumann-Runge continuum; df/dE = 0 is printed at 9.75 eV), then Table I’s eleven interval strengths 9.75-12.07 eV (df/dE is not tabulated there), continuum again from 12.07 eV (the IP). The Schumann-Runge BANDS below 7.125 eV are not included (the sources table starts at 7.125 eV). K-edge line at 530.90 eV (Barrus et al.). CO: lines 8.028-11.789 eV (A 1Pi 8.03-9.95, B 10.78-11.03, C 11.40-11.66, E 11.52-11.79 eV: rule-separated groups on the page); continuum from 12.130 eV, below the IP (14.0136; Chan et al.’s 12.13-14.01 eV region as df/dE); K-edge resonances 287.40 and 534.11 eV (Table II). CO2: no discrete table: continuum from 7.0 eV (Chan et al. 1993 below and above the IP 13.7763 as df/dE); the K-edge resonances at 291.0 and 534.6 eV (book Table 5.4) are in the continuum grid. N2O: five interval strengths 5.70-12.8898 eV (Table I, the IP included); continuum from 12.890 eV. O3: continuum from 1.65 eV; the Wulf region 1.31-1.65 eV is printed with a dash (no data) in the sources table and is not included. CH4: continuum from 8.61 eV (df/dE = 0 printed there); SF6: continuum from 9.5572 eV.

SUMS COMPUTED HERE (not printed in the report; 2026-09-25): discrete lines + interval strengths (at the interval’s geometric-mean energy) + the trapezoidal integral of the continuum on its printed grid (sigma_a/109.76097, which bypasses the helium df/dE misprint) + the tail formulas above 10^5 eV. S(-2) (Ry^-2; alpha = 4 S(-2) au) and S(0) (against Z): He 0.3490 (1.396 au), 1.9958 (Z 2); Ne 0.6469 (2.588), 9.693 (10); Ar 2.7493 (10.997), 18.031 (18); H2 1.3184 (5.274), 1.960 (2); N2 3.0037 (12.015), 14.031 (14); O2 2.7135 (10.854), 16.004 (16); CO 3.3152 (13.261), 14.027 (14); CO2 4.3584 (17.434), 22.205 (22); N2O 4.8519 (19.408), 22.309 (22); O3 4.3474 (17.390), 22.163 (24); CH4 4.1977 (16.791), 9.903 (10); SF6 7.6052 (30.421), 69.042 (70). The trapezoid on the printed grid is a crude integration where the grid is coarse (the book integrated its polynomials): it reproduces the printed corrected partial moments below to 0.03 % (CO2 S(2), 35.93-107.08 eV), 0.6-1.0 % (Ar, 243-253 eV) and 3.5-4 % (CO, IP-17.712 eV; Ar S(1), 500-929.7 eV). S(0) misses Z by 2 % (H2), 3 % (Ne) and 7.7 % (O3): more than the grid can explain; the tables alone do not satisfy TRK for these (TC-219).

CORRECTIONS TO BERKOWITZ’S BOOK (pp. 6-7; book tables and pages; curated species only): Ar, 243.0-253.0 eV (Table 2.34, p. 89): S(1) = 3.5471, S(2) = 64.8246; Ar, 500-929.7 eV (Table 2.35, p. 90): coefficient c = 8315.576, ‘not 8315576’, and S(1) = 111.9896; CO, IP-17.712 eV (Table 4.14, p. 160): S(p), p = -2, -1, 0, 1, 2 = 0.6587, 0.7582, 0.8771, 1.0195, 1.1908 (‘corrected slightly’); CO2, 35.93-107.08 eV (Table 5.4, p. 192): S(2) = 145.296, ‘not 15.296’. These are the only moments the report prints: partial moments of one interval (in Ry^p), with no quantity in the format (a cauchy_moment is a total): kept here, not as datasets (format need). (The other corrections concern Li, O, Cl, NO, HCl, SO2, NH3, SiH4.)

SOURCES PER ENERGY INTERVAL (the table after each species; images checked; ‘book’ = Berkowitz’s book; as printed, including the report’s own slips): He (p. 16): 21.2-24.5874 (IP) Berkowitz, J. Phys. B 30, 881 (1997) (berkowitz_1997); IP-120, 120-280, 280-1000, 1000-13600 book Table 2.2 p. 15; 60-72 Berkowitz 1997 and Schulz et al., Phys. Rev. Lett. 77, 3086 (1996); 13600-inf ‘formura described in text’, Salpeter and Zaidi, Phys. Rev. 125, 248 (1962). Ne (p. 30): 0-21.661 book Table 2.19 p. 49; 21.661-48.475, 48.475-250.0 (printed ‘250 0’), 250.0-280.0, 280.0-870.25, 870.25-2984.3, 2984.3-10000 book Table 2.21 p. 52; 45.5-48.8 Codling et al., Phys. Rev. 155, 26 (1967), Aleksandrov et al., Opt. Spectrosc. (USSR) 54, 4 (1983), Langer et al., J. Phys. B 30, 593 (1997); 867.25-870.25 Hitchcock and Brion, J. Phys. B 13, 3269 (1980), Esteva et al., J. Phys. B 16, L263 (1983); 10^4-10^5 Chantler, J. Phys. Chem. Ref. Data 24, 71 (1995); 10^5-inf Bethe and Salpeter (K-shell only; Quantum Mechanics of One and Two-Electron Atoms (Plenum, 1977), p. 305). Ar (p. 41): 0-15.93711 book Table 2.33 p. 88; 15.937-29.239, 29.239-48.0, 48.0-79.3, 79.3-243.0, 336-500, 500-929.7, 929.7-3203, 3206-6199.3, 6199.3-10^4 ‘Table 2.35 p. 35’ (sic: p. 90 per the corrections list); 26.6-29.2 Berrah et al., J. Phys. B 29, 5351 (1996), Madden et al., Phys. Rev. 177, 136 (1969); 243.0-253, 253-264, 264-271, 271-321, 321-336 ‘Cham et al., Phys. Rev. A 46 (1992) 149’ (sic: Chan et al., chan_1992, whose continuum these intervals REPRODUCE); 3203.3 Deslattes et al., Phys. Rev. A 27, 923 (1983); 10^4-10^5 Chantler; 10^5-inf Bethe and Salpeter. H2 (p. 46): 11.18-14.67 book Table 4.1 p. 127 (Lyman bands); 12.29-14.47 Table 4.1 (Werner bands); 13.70-14.67 and 13.99-16.52 Table 4.2 p. 128; higher Rydbergs - 15.4258 (IP) Glass-Maujean et al., Z. Phys. D 5, 189 (1987) and ‘a.3 p.128’ (sic, probably Fig. 4.3); dissociation continuum below and above the IP Glass-Maujean et al.; predissociation above the IP Table 4.4 p. 131; autoionisation Table 4.5 p. 132; 15.4258-17.0 and 17.0-18.0 ‘b.4 p.131’ (sic); 18.0-40.0, 40-80, 80-160, 160-300, 300-1800, 1800-10^4 Table 4.6 p. 134; 10^4-inf sigma(H2) = 1.444 x 2 x sigma(H). N2 (p. 52): 12.500-13.788, 12.854-14.808, 12.912-13.922, 12.934-14.482, 13.103-14.275 book Table 4.7 p. 142; 14.330-14.860 (e 1Pi_u), 14.364 (e’ 1Sigma_u+), 14.839 (n = 5, 1Pi_u), 14.92-15.58 (IP) and IP-18.786 Chan et al., Chem. Phys. 170, 81 (1993); 18.786-107.07, 200-407.4, 430-1253.6, 1253.6-3691.7, 3691.7-10^4 Table 4.9 p. 144; 107.07-200 Henke et al., At. Data Nucl. Data Tables 54, 181 (1993) (henke_1993); 401.0, 405.6, 406.8 Table 4.8 p. 143; 407.4-430 Zhadenov et al., Opt. Spectrosc. (USSR) 62, 204 (1987); 10^4-10^5 Chantler; 10^5-inf Bethe and Salpeter. O2 (p. 64): 7.125-12.07 (IP) book Table 4.10 p. 151; IP-24.53 Holland et al., Chem. Phys. 173, 315 (1993); 24.53-107.07, 107.07-206.06, 206.06-506, 600-2622.4, 2622.4-10^4 Table 4.12 p. 153; 530.9 and 506-600 Barrus et al., Phys. Rev. A 20, 1045 (1979); 10^4-10^5 sigma(O2) = 2 x sigma(O), Chantler; 10^5-inf Bethe and Salpeter. CO (p. 71): 8.028-9.950, 10.776-11.034, 11.397-11.662, 11.522-11.789 book Table 4.13 p. 159; 12.130-14.013 Chan et al., Chem. Phys. 170, 123 (1993); 14.0136 (IP)-17.712, 17.712-20.68, 20.68-26.84 ‘Chan et al., Can. J. Phys. 43 (1965) 1706’ (sic: as printed); 26.84-124.37, 124.37-292.5, 350-539.5, 598-1486.7, 1486.7-3691.7, 3691.7-10^4 Table 4.15 p. 161; 287.4 and 534.1 Table 4.14 p. 160; 292.5-350 Fig. 4.6; 539.5-598 Barrus et al. (‘Can. Phys. Rev. A 20 (1979) 1045’, sic); 10^4-10^5 Chantler; 10^5-inf Bethe and Salpeter. CO2 (p. 119): 7.0-10.33, 10.66-13.7763 (IP), IP-35.93 Chan et al., Chem. Phys. 178, 401 (1993); 35.93-107.08 Fig. 5.5 p. 194; 107.08-290.0, 341.3-524.9, 572.8-2293.2, 2293.2-10000 Table 5.5 p. 194; 291.0, 290-341.3, 534.6, 524.9-572.8 Table 5.4 p. 192; 10^4-10^5 Chantler; 10^5-inf Bethe and Salpeter. N2O (p. 131): 5.70-12.8898 (IP) book Table 5.6 p. 199; IP-20.19, 20.19-25.56, 25.56-108.5 Chan et al., Chem. Phys. 180, 77 (1994); 108.5-400.0, 603-2042.4, 2042-10000 Table 5.8 p. 203; 401.16, 404.92 Table 5.7 p. 201; 405-455 Fig. 5.7 p. 203; 455-506 Henke et al. (henke_1993); 506-533 Table 5.7 and Fig. 5.8; 533-545, 545-603 Fig. 5.8 p. 204; 10^4-10^5 Chantler; 10^5-inf Bethe and Salpeter. O3 (p. 178): 1.31-1.65 a dash (no data); 1.65-2.75 book Table 5.15 p. 232 and Brion et al., J. Atmos. Chem. 30, 291 (1998) (brion_1998); 2.75-3.54 Brion et al. (brion_1998); 3.54-6.70 Mason et al., J. Phys. B 29, 3075 (1996) (mason_1996); 6.70-11.24, 11.24-20.66 Fig. 5.12 p. 229; 20.66-108.5 Fig. 5.13 p. 230; 108.5-535, 555.9-2622.4, 2622.4-10000 Table 5.16 p. 234; 527.5-555.9 Table 5.15 p. 232; 10^4-10^5 Chantler; 10^5-inf Bethe and Salpeter. CH4 (p. 193): 8.61-11.27, 11.27-12.61 (IP), IP-13.62, 13.62-24.0 book Fig. 6.3 p. 246; 24.0-112.7, 112.7-150.0 Fig. 6.4 p. 250; 150.0-285.0, 340.0-1740.0, 1740.0-10^4 Table 6.5 p. 250; 285.0-340.0 Kivimaki et al., J. Phys. B 29, 2701 (1996); 10^4-10^5 Chantler; 10^5-inf Bethe and Salpeter. SF6 (p. 258): 10.0-14.9 Blechschmidt et al., Chem. Phys. Lett. 14, 33 (1972); 14.9-26.38 Holland et al., J. Phys. B 25, 4823 (1992); 26.38-70.85 Fig. 6.23 p. 303; 70.85-171.0, 277-685, 735-2490, 2580-10^4 Table 6.21 p. 305; the resonances 172.3-173.4, 177.4-177.5, 180.9, 183.4-184.6, 196.2, 205.8, 241.2, 689.0, 694.7, 699.9, 713.2, 2486 and the intervals 171.0-210, 210-243, 243-277, 685-735, 2490-2580 Table 6.20 p. 304 (2490-2580 also LaVilla, J. Chem. Phys. 57, 899 (1972)); 10^4-10^5 Chantler; 10^5-inf Bethe and Salpeter.

REPRODUCTIONS IN THE CONTINUUM (for the loader of the NIFS files; not datasets here): Ar 243-336 eV from chan_1992; N2 and N2O 107-200 and 455-506 eV from henke_1993; O3 1.65-3.54 eV from brion_1998 and 3.54-6.70 eV from mason_1996. The comparison with those records is open.

Recorded bibliographic identity status: ASSERTED. This concerns identification of the source; it does not establish the scientific correctness of its contents.

Datasets

sakamoto_2010/discrete_He

{
  "id": "discrete_He",
  "material": "He",
  "file": "He/sakamoto_2010__discrete_He.csv",
  "table": "NIFS He_table.txt.gz, Table I (PDF p. 14)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "berkowitz_1997"
  ]
}

Table I, 1 1S -> n 1P, n = 2-20 (21.218-24.553 eV) and row I-20 (24.572 eV, mark a): ‘Represents sum_{n=21}^inf f_n for the 1 1S -> n 1P transitions’. These are berkowitz_1997 Table 1: Kono and Hattori’s (1984) f for n = 2-9 (to the digits printed there), the author’s extrapolation for n = 10-20 and the sum 0.002 076 for n >= 21 (row printed there, not extracted in that record). Not fitted beside berkowitz_1997.

sakamoto_2010/excess_He

{
  "id": "excess_He",
  "material": "He",
  "file": "He/sakamoto_2010__excess_He.csv",
  "table": "NIFS He_table.txt.gz, Table II (PDF p. 14)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002)",
    "K. Schulz et al., Phys. Rev. Lett. 77, 3086 (1996)"
  ]
}

Table II, ‘Excess oscillator strength, f_n, for the two-electron excitation series’ above the IP: rows II-1 to II-9 the dominant 2snp series (60.151-65.263 eV), II-10 to II-18 weaker series (62.76-72.55 eV). Added to the smooth continuum. NOT berkowitz_1997’s Table 2 (f_excess), whose values for the same 60.151-65.263 eV members differ by 3-10 % (4.386e-3 there, 4.861e-3 here at 60.151 eV): the sources table cites both Berkowitz 1997 and Schulz et al. for 60-72 eV.

sakamoto_2010/discrete_Ne

{
  "id": "discrete_Ne",
  "material": "Ne",
  "file": "Ne/sakamoto_2010__discrete_Ne.csv",
  "table": "NIFS Ne_table.txt.gz, Table I (PDF p. 28)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 2.19"
  ]
}

Table I, ‘Discrete oscillator strength, f_n, for nl and nl’ transitions’, 16.671-21.622 eV (left column pair the nl lines from 16.671 eV, right pair the nl’ lines from 16.848 eV); no series sums printed. Berkowitz’s recommended values (e.g. 0.0110 and 0.145 for the resonance lines against chan_1992_neon’s 0.0118 and 0.159): not a copy of chan_1992_neon.

sakamoto_2010/resonance_2s_Ne

{
  "id": "resonance_2s_Ne",
  "material": "Ne",
  "file": "Ne/sakamoto_2010__resonance_2s_Ne.csv",
  "table": "NIFS Ne_table.txt.gz, Table II (PDF p. 28)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 2.21"
  ]
}

Table II, ‘Discrete oscillator strength, f_n, for resonance transitions’, the rows above the rule: 44.979-48.832 eV (2s -> np; sources Codling et al. 1967, Aleksandrov et al. 1983, Langer et al. 1997 via the book), on top of the continuum.

sakamoto_2010/k_edge_Ne

{
  "id": "k_edge_Ne",
  "material": "Ne",
  "file": "Ne/sakamoto_2010__k_edge_Ne.csv",
  "table": "NIFS Ne_table.txt.gz, Table II (PDF p. 28)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 2.21"
  ]
}

Table II below the rule: 867.05-869.63 eV, 1s -> np resonances below the K-edge (870.25 eV; sources Hitchcock and Brion 1980, Esteva et al. 1983 via the book).

sakamoto_2010/discrete_Ar

{
  "id": "discrete_Ar",
  "material": "Ar",
  "file": "Ar/sakamoto_2010__discrete_Ar.csv",
  "table": "NIFS Ar_table.txt.gz, Table I (PDF p. 37)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 2.33"
  ]
}

Table I, ns, nd, nd(underlined), ns’ and nd’ series, 11.624-15.852 eV, groups separated by rules on the page: ns rows I-1 to I-5 (I-5, mark a: sum over n >= 8), nd I-6 to I-9 (I-9, b: n >= 6), nd(underlined) I-10 to I-13 (I-13, c: n >= 6), I-14 (mark d, 15.852 eV): ‘f for underlying continuum between 2P3/2 and 2P1/2’ (an integral, not a line), ns’ I-15 to I-18 (I-18, e: n >= 7), nd’ I-19 to I-21 (I-21, f: n >= 5). Row I-6 prints 13.606 eV for the 3d line (erratum: 13.864). Against chan_1992’s energies (Moore) several lines differ by 10-50 meV (7s 15.159 vs 15.186, 5d 15.170 vs 15.118, 4d’ 14.984 vs 15.004 eV): kept as printed (TC-219).

sakamoto_2010/window_Ar

{
  "id": "window_Ar",
  "material": "Ar",
  "file": "Ar/sakamoto_2010__window_Ar.csv",
  "table": "NIFS Ar_table.txt.gz, Table II (PDF p. 37)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 2.35",
    "N. Berrah et al., J. Phys. B 29, 5351 (1996)",
    "R. P. Madden et al., Phys. Rev. 177, 136 (1969)"
  ]
}

Table II above the rule: seven NEGATIVE strengths, 26.614-29.100 eV: the 3s -> np window resonances, the strength each removes from the smooth continuum (which is tabulated only at 25, 27.5 and 30 eV). Not absorption lines: a model must subtract them.

sakamoto_2010/k_edge_Ar

{
  "id": "k_edge_Ar",
  "material": "Ar",
  "file": "Ar/sakamoto_2010__k_edge_Ar.csv",
  "table": "NIFS Ar_table.txt.gz, Table II (PDF p. 37)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "R. D. Deslattes et al., Phys. Rev. A 27, 923 (1983)"
  ]
}

Table II below the rule: the K-edge resonance at 3203.3 eV (f = 0.0022), below the continuum step at 3206 eV.

sakamoto_2010/lyman_H2

{
  "id": "lyman_H2",
  "material": "H2",
  "file": "H2/sakamoto_2010__lyman_H2.csv",
  "table": "NIFS H2_table.txt.gz, Table I (PDF p. 42)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 4.1"
  ]
}

Table I, Lyman bands (B 1Sigma_u+ <- X), 11.184-14.672 eV, one band per row (the vibrational progression; rotational structure summed). Band strengths of normal H2 as the book gives them (no temperature stated).

sakamoto_2010/werner_H2

{
  "id": "werner_H2",
  "material": "H2",
  "file": "H2/sakamoto_2010__werner_H2.csv",
  "table": "NIFS H2_table.txt.gz, Table II (PDF p. 42)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 4.1"
  ]
}

Table II, Werner bands (C 1Pi_u <- X), 12.285-14.672 eV, one band per row.

sakamoto_2010/b_prime_H2

{
  "id": "b_prime_H2",
  "material": "H2",
  "file": "H2/sakamoto_2010__b_prime_H2.csv",
  "table": "NIFS H2_table.txt.gz, Table III (PDF p. 42)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 4.2"
  ]
}

Table III, X 1Sigma_g+ -> 3p sigma_u, B’ 1Sigma_u+ bands, 13.698-14.672 eV.

sakamoto_2010/d_H2

{
  "id": "d_H2",
  "material": "H2",
  "file": "H2/sakamoto_2010__d_H2.csv",
  "table": "NIFS H2_table.txt.gz, Table IV (PDF p. 42)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 4.2"
  ]
}

Table IV, X 1Sigma_g+ -> 3p pi_u, D 1Pi_u bands, 13.994-16.516 eV; the nine bands from 15.602 eV lie above the IP (15.4258 eV) and sit on the ionisation continuum.

sakamoto_2010/rydberg_H2

{
  "id": "rydberg_H2",
  "material": "H2",
  "file": "H2/sakamoto_2010__rydberg_H2.csv",
  "table": "NIFS H2_table.txt.gz, Table V (PDF p. 42)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "M. Glass-Maujean et al., Z. Phys. D 5, 189 (1987)"
  ]
}

Table V, X 1Sigma_g+ -> higher Rydberg states (up to the IP), 14.598-15.402 eV, not in energy order on the page (several series).

sakamoto_2010/predissociation_H2

{
  "id": "predissociation_H2",
  "material": "H2",
  "file": "H2/sakamoto_2010__predissociation_H2.csv",
  "table": "NIFS H2_table.txt.gz, Table VI (PDF p. 42)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 4.4"
  ]
}

Table VI, ‘attributed to predissociation above the IP’, 15.576-16.207 eV, on top of the ionisation continuum; rows VI-3 and VI-4 both print 15.601 eV (2.4e-3 and 1.5e-3), two features at one energy.

sakamoto_2010/autoionization_H2

{
  "id": "autoionization_H2",
  "material": "H2",
  "file": "H2/sakamoto_2010__autoionization_H2.csv",
  "table": "NIFS H2_table.txt.gz, Table VII (PDF pp. 43-44)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 4.5"
  ]
}

Table VII, autoionisation oscillator strengths, 15.435-16.975 eV (146 rows over three pages, in the page order, not sorted), on top of the ionisation continuum (tabulated only at 15.426 and 17.5 eV there).

sakamoto_2010/discrete_N2

{
  "id": "discrete_N2",
  "material": "N2",
  "file": "N2/sakamoto_2010__discrete_N2.csv",
  "table": "NIFS N2_table.txt.gz, Table I (PDF p. 47)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 4.7",
    "chan_1993_n2"
  ]
}

Table I, bands to the valence states (b 1Pi_u, b’ 1Sigma_u+), the lowest Rydberg states (c 1Pi_u, c’ 1Sigma_u+, o 1Pi_u) and higher bands to the IP (e 1Pi_u, e’ 1Sigma_u+, n = 5 1Pi_u), 12.500-14.839 eV; rule-separated groups on the page, one per progression (rows I-1 to I-13 from 12.500 eV, I-14 to I-28 from 13.390 eV, I-29 to I-32, I-33 to I-38, I-39 to I-43, I-44 and I-45 (e 1Pi_u, 14.330-14.585 eV), I-46 (e’, 14.364 eV), I-47 (n = 5, 14.839 eV)); the page names no state per row (in the caption’s order b, b’, c, c’, o, as the sources table’s ranges suggest).

sakamoto_2010/k_edge_N2

{
  "id": "k_edge_N2",
  "material": "N2",
  "file": "N2/sakamoto_2010__k_edge_N2.csv",
  "table": "NIFS N2_table.txt.gz, Table II (PDF p. 47)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 4.8"
  ]
}

Table II, resonances before the K-edge (caption, misspelt): 401.0 eV (f = 0.21, the 1s -> pi* resonance), 405.6 and 406.8 eV.

sakamoto_2010/intervals_O2

{
  "id": "intervals_O2",
  "material": "O2",
  "file": "O2/sakamoto_2010__intervals_O2.csv",
  "table": "NIFS O2_table.txt.gz, Table I (PDF p. 53)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 4.10"
  ]
}

Table I above the rule: the oscillator strength integrated over each of eleven contiguous intervals, 9.75-12.07 eV (the IP), where the continuum table prints no df/dE. Row = the interval as printed; abscissa = its lower edge (eV), the upper edge is the next row’s (the last ends at 12.07 eV, not at twice its lower edge). Sum 0.02769. Not lines: an interval integral (format need, as kumar_2011_supplement).

sakamoto_2010/k_edge_O2

{
  "id": "k_edge_O2",
  "material": "O2",
  "file": "O2/sakamoto_2010__k_edge_O2.csv",
  "table": "NIFS O2_table.txt.gz, Table I (PDF p. 53)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. A. Barrus et al., Phys. Rev. A 20, 1045 (1979)"
  ]
}

Table I below the rule: ‘a resonance transition around the K-edge’, 530.90 eV, f = 0.054891.

sakamoto_2010/discrete_CO

{
  "id": "discrete_CO",
  "material": "CO",
  "file": "CO/sakamoto_2010__discrete_CO.csv",
  "table": "NIFS CO_table.txt.gz, Table I (PDF p. 65)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 4.13"
  ]
}

Table I, bands to the A 1Pi (rows I-1 to I-13, 8.028-9.950 eV, the vibrational progression), B 1Sigma+ (I-14, I-15, 10.776 and 11.034 eV), C 1Sigma+ (I-16, I-17, 11.396 and 11.663 eV) and E 1Pi states (I-18, I-19, 11.522 and 11.789 eV); groups separated by rules on the page, the state order of the caption and of the sources table. The NIFS caption drops the ‘C1’ of C 1Sigma+.

sakamoto_2010/k_edge_CO

{
  "id": "k_edge_CO",
  "material": "CO",
  "file": "CO/sakamoto_2010__k_edge_CO.csv",
  "table": "NIFS CO_table.txt.gz, Table II (PDF p. 65)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 4.14"
  ]
}

Table II, ‘the pre-K-edge resonances of carbon and oxygen atoms’: 287.40 eV (C 1s, f = 0.17) and 534.11 eV (O 1s, f = 0.076001).

sakamoto_2010/intervals_N2O

{
  "id": "intervals_N2O",
  "material": "N2O",
  "file": "N2O/sakamoto_2010__intervals_N2O.csv",
  "table": "NIFS N2O_table.txt.gz, Table I (PDF p. 120)",
  "quantity": "oscillator_strength",
  "abscissa_unit": "eV",
  "use": "reproduced",
  "reproduced_from": [
    "J. Berkowitz, Atomic and Molecular Photoabsorption: Absolute Total Cross Sections (Academic Press, 2002), Table 5.6"
  ]
}

Table I, ‘Integrated oscillator strength, f, for transitions below the IP’: five contiguous intervals 5.70-12.8898 eV (the IP), sum 0.9921. Row = the interval as printed; abscissa = its lower edge (eV), the upper edge the next row’s (the last ends at the IP, 12.8898 eV). An interval integral, not a line (format need).

Formulas

sakamoto_2010/tail_He

{
  "id": "tail_He",
  "material": "He",
  "equation": "Text below Table III, PDF p. 15",
  "printed": "df/dE = 308.98 E^{-3.5} - 1941.38 E^{-4} + 7082.8 E^{-4.5}, 'in Rydberg units' ... 'Here E is photon energy in Rydberg units', 'When photon energy is higher than 13 600 eV'",
  "variable": "E: photon energy in Ry (13.606 eV); df/dE per Ry (divide by 13.606 for eV^-1)",
  "state": "none (per atom)",
  "density": "none",
  "range": "above 13 600 eV (Salpeter and Zaidi 1962, per the sources table); the table's rows 1.5e4-1e5 eV are this formula",
  "coefficients": {
    "a": "308.98",
    "b": "1941.38",
    "c": "7082.8"
  },
  "check": "Reproduces the printed sigma_a column (sigma_a = 109.76097 df/dE) at 2e4 and 1e5 eV to 1e-5 (and 1.25e4 eV, below the formula's range, to 1.7 %); the printed df/dE column there is a factor 10 too small (source notes) (checked 2026-09-25)."
}

The continuum above 10^5 eV (beyond the table) follows from this formula.

sakamoto_2010/tail_H2

{
  "id": "tail_H2",
  "material": "H2",
  "equation": "Text below Table VIII, PDF p. 45 (the hydrogen-atom formula, p. 11)",
  "printed": "df/dE = [2^7 / (3 (1 + k^2)^4)] exp[-(4/k) tan^{-1} k] [1 - exp(-2 pi / k)]^{-1}, 'where epsilon = k^2 is the electron kinetic energy, and incident photon energy E = 1 + epsilon. Here energies are given in Rydberg unit.' ... 'used to calculate sigma(H) ... from 10 keV to infinity. In this energy interval ... sigma(H2) = 2.888 x sigma(H).'",
  "variable": "E: photon energy in Ry (13.606 eV), k^2 = E - 1; df/dE per Ry",
  "state": "none (per molecule)",
  "density": "none",
  "range": "above 10 keV (the sources table: 10^4-inf, sigma(H2) = 1.444 x 2 x sigma(H))",
  "coefficients": {
    "ratio": "2.888"
  },
  "check": "2.888 x the hydrogen formula reproduces the table's df/dE from 12.5 keV to 1e5 eV to 6e-5, and gives 0.057434 eV^-1 for H at threshold (the hydrogen table prints 5.7437E-02). At 10 keV the table (book value) is 27 % below the formula: a step at the join (checked 2026-09-25)."
}

The page renders the numerator ‘2^7’ as ‘27’ in the text layer; the image prints 2 with superscript 7, and only 2^7/3 reproduces the threshold value.

sakamoto_2010/k_shell_tail_Ne

{
  "id": "k_shell_tail_Ne",
  "material": "Ne",
  "equation": "Text beside Table III, PDF p. 29 (the same form for every species with Z > 2)",
  "printed": "sigma_a = 680 (Z - 0.3)^6 (Ry/E)^4 exp[-4 chi arctan(chi^{-1})] / [1 - exp(-2 pi chi)], chi = sqrt(E_K / (E - E_K)), 'where E_K = 870.25 eV'; 'When photon energy, E, is higher than 10^5 eV, the photoabsorption cross section, sigma_a, in Mb'",
  "variable": "E: photon energy in eV; Ry = 13.606 eV; sigma_a in Mb",
  "state": "none (per atom)",
  "density": "none",
  "range": "above 10^5 eV ('Bethe and Salpeter (K-shell only)')",
  "coefficients": {
    "Z": "10",
    "E_K": "870.25"
  },
  "check": "At 1e5 eV the formula gives 2.508e-7 Mb against the table's 2.389e-7 (+5.0 %): the join is not continuous (checked 2026-09-25)."
}

sakamoto_2010/k_shell_tail_Ar

{
  "id": "k_shell_tail_Ar",
  "material": "Ar",
  "equation": "Text below Table III, PDF p. 40",
  "printed": "sigma_a = 680 (Z - 0.3)^6 (Ry/E)^4 exp[-4 chi arctan(chi^{-1})] / [1 - exp(-2 pi chi)], chi = sqrt(E_K/(E - E_K)), 'where E_K = 3206.3 eV'",
  "variable": "E: photon energy in eV; Ry = 13.606 eV; sigma_a in Mb",
  "state": "none (per atom)",
  "density": "none",
  "range": "above 10^5 eV (K shell only)",
  "coefficients": {
    "Z": "18",
    "E_K": "3206.3"
  },
  "check": "At 1e5 eV: 3.821e-6 Mb against the table's 3.642e-6 (+4.9 %) (checked 2026-09-25)."
}

sakamoto_2010/k_shell_tail_N2

{
  "id": "k_shell_tail_N2",
  "material": "N2",
  "equation": "Text below Table III, PDF p. 51",
  "printed": "sigma_a = 680 (Z - 0.3)^6 (Ry/E)^4 exp[-4 chi arctan(chi^{-1})] / [1 - exp(-2 pi chi)], chi = sqrt(E_K/(E - E_K)), 'where E_K = 409.9 eV'",
  "variable": "E: photon energy in eV; Ry = 13.606 eV; sigma_a in Mb, per N atom",
  "state": "none (per molecule: twice the atomic value)",
  "density": "none",
  "range": "above 10^5 eV (K shell only)",
  "coefficients": {
    "Z": "7",
    "E_K": "409.9",
    "atoms": "2"
  },
  "check": "The text does not say 'of each atom' for N2; the sum over the two atoms gives 8.633e-8 Mb at 1e5 eV against the table's 8.592e-8 (+0.5 %), one atom half that: the sum is meant (checked 2026-09-25)."
}

sakamoto_2010/k_shell_tail_O2

{
  "id": "k_shell_tail_O2",
  "material": "O2",
  "equation": "Text below Table II, PDF p. 63",
  "printed": "sigma_a = 680 (Z - 0.3)^6 (Ry/E)^4 exp[-4 chi arctan(chi^{-1})] / [1 - exp(-2 pi chi)], chi = sqrt(E_K/(E - E_K)), 'where E_K = 543.9 eV'",
  "variable": "E: photon energy in eV; Ry = 13.606 eV; sigma_a in Mb, per O atom",
  "state": "none (per molecule: twice the atomic value)",
  "density": "none",
  "range": "above 10^5 eV (K shell only)",
  "coefficients": {
    "Z": "8",
    "E_K": "543.9",
    "atoms": "2"
  },
  "check": "Two atoms: 1.679e-7 Mb at 1e5 eV against the table's 1.633e-7 (+2.8 %); the sources table's 10^4-10^5 eV row is 'sigma(O2) = 2 x sigma(O)' (checked 2026-09-25)."
}

sakamoto_2010/k_shell_tail_CO

{
  "id": "k_shell_tail_CO",
  "material": "CO",
  "equation": "Text below Table III, PDF p. 70",
  "printed": "sigma_a = 680 (Z - 0.3)^6 (Ry/E)^4 exp[-4 chi arctan(chi^{-1})] / [1 - exp(-2 pi chi)] ('of atoms'), chi = sqrt(E_K/(E - E_K)), 'where E_K = 296.2 and 543.9 eV for carbon and oxygen atoms, respectively'",
  "variable": "E: photon energy in eV; Ry = 13.606 eV; sigma_a in Mb, summed over the atoms",
  "state": "none (per molecule)",
  "density": "none",
  "range": "above 10^5 eV (K shell only)",
  "coefficients": {
    "Z_C": "6",
    "E_K_C": "296.2",
    "Z_O": "8",
    "E_K_O": "543.9"
  },
  "check": "C + O: 1.037e-7 Mb at 1e5 eV against the table's 1.020e-7 (+1.7 %) (checked 2026-09-25)."
}

sakamoto_2010/k_shell_tail_CO2

{
  "id": "k_shell_tail_CO2",
  "material": "CO2",
  "equation": "Text below Table I, PDF p. 118",
  "printed": "sigma_a = 680 (Z - 0.3)^6 (Ry/E)^4 exp[-4 chi arctan(chi^{-1})] / [1 - exp(-2 pi chi)] ('of each atom'), chi = sqrt(E_K/(E - E_K)), 'where E_K = 297.65 and 541.1 eV for carbon and oxygen atoms, respectively'",
  "variable": "E: photon energy in eV; Ry = 13.606 eV; sigma_a in Mb, summed over the atoms",
  "state": "none (per molecule)",
  "density": "none",
  "range": "above 10^5 eV (K shell only)",
  "coefficients": {
    "Z_C": "6",
    "E_K_C": "297.65",
    "Z_O": "8",
    "E_K_O": "541.1"
  },
  "check": "C + 2 O: 1.881e-7 Mb at 1e5 eV against the table's 1.836e-7 (+2.5 %) (checked 2026-09-25)."
}

sakamoto_2010/k_shell_tail_N2O

{
  "id": "k_shell_tail_N2O",
  "material": "N2O",
  "equation": "Text below Table II, PDF p. 129",
  "printed": "sigma_a = 680 (Z - 0.3)^6 (Ry/E)^4 exp[-4 chi arctan(chi^{-1})] / [1 - exp(-2 pi chi)] ('of each atom'), chi = sqrt(E_K/(E - E_K)), 'where E_K = 412.6 and 541.4 eV for nitrogen and oxygen atoms, respectively'",
  "variable": "E: photon energy in eV; Ry = 13.606 eV; sigma_a in Mb, summed over the atoms",
  "state": "none (per molecule)",
  "density": "none",
  "range": "above 10^5 eV (K shell only)",
  "coefficients": {
    "Z_N": "7",
    "E_K_N": "412.6",
    "Z_O": "8",
    "E_K_O": "541.4"
  },
  "check": "2 N + O: 1.702e-7 Mb at 1e5 eV against the table's 1.675e-7 (+1.6 %) (checked 2026-09-25)."
}

sakamoto_2010/k_shell_tail_O3

{
  "id": "k_shell_tail_O3",
  "material": "O3",
  "equation": "Text below Table I, PDF p. 176",
  "printed": "sigma_a = 680 (Zc - 0.3)^6 (Ry/E)^4 exp[-4 chi arctan(chi^{-1})] / [1 - exp(-2 pi chi)], 'Zc denotes the atomic number of constituent atoms', chi = sqrt(E_K/(E - E_K)), 'where E_K = 541.5 eV for oxygen atoms in ozone'",
  "variable": "E: photon energy in eV; Ry = 13.606 eV; sigma_a in Mb, summed over the atoms",
  "state": "none (per molecule)",
  "density": "none",
  "range": "above 10^5 eV (K shell only)",
  "coefficients": {
    "Z": "8",
    "E_K": "541.5",
    "atoms": "3"
  },
  "check": "3 O: 2.525e-7 Mb at 1e5 eV against the table's 2.449e-7 (+3.1 %) (checked 2026-09-25)."
}

sakamoto_2010/k_shell_tail_CH4

{
  "id": "k_shell_tail_CH4",
  "material": "CH4",
  "equation": "Text below Table II, PDF p. 192",
  "printed": "sigma_a = 680 (Zc - 0.3)^6 (Ry/E)^4 exp[-4 chi arctan(chi^{-1})] / [1 - exp(-2 pi chi)] ('of each atom'), chi = sqrt(E_K/(E - E_K)), 'where E_K = 13.6 and 290.707 eV for hydrogen and carbon atoms, respectively'",
  "variable": "E: photon energy in eV; Ry = 13.606 eV; sigma_a in Mb, summed over the atoms",
  "state": "none (per molecule)",
  "density": "none",
  "range": "above 10^5 eV (K shell only; for H the 1s shell with Zc - 0.3 = 0.7)",
  "coefficients": {
    "Z_C": "6",
    "E_K_C": "290.707",
    "Z_H": "1",
    "E_K_H": "13.6"
  },
  "check": "C + 4 H: 2.002e-8 Mb at 1e5 eV against the table's 2.035e-8 (-1.6 %) (checked 2026-09-25)."
}

sakamoto_2010/k_shell_tail_SF6

{
  "id": "k_shell_tail_SF6",
  "material": "SF6",
  "equation": "Text below Table I, PDF p. 257",
  "printed": "sigma_a = 680 (Zc - 0.3)^6 (Ry/E)^4 exp[-4 chi arctan(chi^{-1})] / [1 - exp(-2 pi chi)] ('of each atom'), chi = sqrt(E_K/(E - E_K)), 'where E_K = 696.7 and 2472.0 eV for fluorine and sulfur atoms, respectively'",
  "variable": "E: photon energy in eV; Ry = 13.606 eV; sigma_a in Mb, summed over the atoms",
  "state": "none (per molecule)",
  "density": "none",
  "range": "above 10^5 eV (K shell only)",
  "coefficients": {
    "Z_S": "16",
    "E_K_S": "2472.0",
    "Z_F": "9",
    "E_K_F": "696.7"
  },
  "check": "S + 6 F: 3.145e-6 Mb at 1e5 eV against the table's 3.005e-6 (+4.7 %) (checked 2026-09-25)."
}

Corrections

[
  {
    "dataset": "discrete_Ar",
    "row": "I-6",
    "column": "x",
    "printed": "1.3606E+01",
    "corrected": "1.3864E+01",
    "reason": "The first member of the nd series (Table I rows I-6 to I-9: 3d, 4d, 5d and the sum n >= 6) is printed at 13.606 eV (with lambda = 911.27 A computed from it), which is the Rydberg energy (the report's unit, 13.606 eV, p. 4) and the Lyman limit of the hydrogen table (p. 11), not an argon line; the 3d line of argon is at 13.864 eV.",
    "evidence": "chan_1992 (Table IV, energies from Moore's tables): (2P3/2)3d at 13.864 eV with f = 0.0013, the only 3d line near; the report's other nd rows match chan_1992's 4d (f 0.0019) and 5d (f 0.0041) strengths. Page image (PDF p. 37) checked: it prints 1.3606E+01 and 9.1127E+02."
  }
]

Formula corrections, where recorded, appear with their formulas above. Curation notes may also discuss corrections or unresolved interpretation. Consult the review register for the checks and decisions.