duzy_1980#
C. Duzy and H. A. Hyman, “Photoionization of excited rare-gas atoms”, Phys. Rev. A 22, 1878 (1980)
Source record · Catalogue · Review register
Source kind: theory
Recorded technique: Calculated one-photon photoionisation cross sections of the first excited s, p and d configurations of Ne (3s, 3p, 3d), Ar (4s, 4p, 3d), Kr (5s, 5p, 4d) and Xe (6s, 6p, 5d), each averaged over all its J levels (Sec. II, p. 1878): Eq. 1, sigma_nl = 2.69e-18 (I_nl + epsilon) [(l + 1)/(2l + 1) R_l+1^2 + l/(2l + 1) R_l-1^2] cm^2, energies in Ry, R the radial matrix element of r (Eq. 2, the length form). A single-channel central-field model, the bound and continuum orbitals of one potential (Eq. 4): the static potential of the parent ion X+ (p5) from Clementi and Roetti’s Hartree-Fock functions plus a polarisation potential alpha/(r^2 + r0^2)^2, r0 the Hartree-Fock mean radius of the core’s outer shell and alpha fitted (least squares) to the J-averaged experimental binding energies (Eq. 5, Moore’s tables) of the first five ns, four np, four nd and two or three nf configurations (Table I). The method of hyman_1977 (TC-933) with the new alpha; no spin-orbit, no channel coupling.
Materials in structured entries: Ar, Kr, Ne, Xe
Dataset quantities: excited_state_photoionization_cross_section
Contents: 9 datasets; 0 formulas.
Curation notes#
Phys. Rev. A 22(5), 1878-1883 (November 1980) = PDF pages 1-6 (journal page = PDF page + 1877); a scan, each page one image (4807 x 6331 pixels) with a text layer. Identity checked against the first page (journal, volume, number, date, title, authors, pages). Tables I and II checked cell by cell against the table images and the rendered pages.
LEVELS. Every ‘state’ is a configuration average, ‘averaged over all J levels of each excited-state configuration’ (p. 1878): Xe 6p is the mean of the ten 5p5 6p levels (6p[1/2]0 at 80 118.962 cm^-1 among them; nist_asd_2026 Xe_I_levels.tsv), Ar 4p of the ten 3p5 4p levels, and so on. Table II’s d rows (‘3d’, ‘4d’, ‘5d’) are 3p5 3d, 4p5 4d, 5p5 5d (Fig. 5’s caption) and Ne’s are 2p5 3p and 2p5 3d. No level energy or threshold is printed. So none of these values is a J-resolved cross section: compared with a single level (6p[1/2]0, 6p[3/2]2) they are the average the paper computes.
WHAT IS TAKEN (tools/extract/duzy_1980.py). (1) Table II (p. 1882), the cross sections ‘relevant to the KrF and XeCl lasers’, in 10^-18 cm^2: Ar 3p5 4p 5.4 and 3p5 3d 2.4, Kr 4p5 5p 5.2 and 4p5 4d 2.8 at 248 nm (KrF); Ne 2p5 3p 2.3 and 2p5 3d 0.6, Xe 5p5 6p 7.6 and 5p5 5d 9.3 at 308 nm (XeCl), one dataset each (the s states are left out of the table as ‘negligible at the wavelengths of interest’, p. 1882). The wavelengths are the lasers’, as printed; air or vacuum is not said (0.07-0.09 nm, below the last digit). No uncertainty is stated. (2) Fig. 3 (p. 1880, raster), the Xe 6p (dash-dot) curve against the photon wavelength (nm, linear, as drawn), 514 to 109 nm where it can be told from the others (the rules in the script’s docstring): alone above the others from 514 to 392 nm; drawn on the Kr 5p (solid) curve from 333 to 246 nm, where the two are one line (the value read is the line’s, Kr and Xe at once); the middle of three separate lines (Kr, Xe, Ar) from 219 to 205 nm and from 146 to 109 nm. Not read: 392-333 nm (the Xe, Kr and Ar curves cross), 246-219 nm (Xe leaves the Kr curve; the two lines touch), 205-146 nm (Xe and Ar run together). One point every 10 columns (3.5 nm). Use ‘check’ throughout: a semiempirical, J-averaged calculation, held for comparison with the level-resolved values (below), as hyman_1977 and chang_1982 are.
DIGITISING. Fig. 3’s frame is hand-drafted and the scan turned by about 0.25 degree: each side has its own calibration from its tick marks (sigma: 1, 2, 4, 6, 8 x 10^k, one logarithmic fit per decade because the decades are 559 to 545 pixels long, every tick within 2.5 pixels; wavelength: every 100 nm, within 3.5 pixels), and a point is interpolated between the two sides. One pixel is 0.35 nm and 0.0018 decade (0.4 %); the lines are 8-12 pixels wide. Relative uncertainty 5 %: the calibration (2 pixels), half a line width (6 pixels) and, where Kr and Xe are drawn on each other, up to 4 pixels more (0.012 decade together, 3 %), rounded up. The overlay (the points and the calibrated decade and wavelength grid drawn on the page image) was inspected: the grid falls on every labelled tick and the points on the dash-dot line.
CHECKED (the script). Fig. 3 read at Table II’s wavelengths, against Table II: Ne 3p at 308 nm 0.98 (2.25 against 2.3); Kr 5p at 248 nm 1.07 (the solid line, 5.57 against 5.2). FINDING: the figure and Table II disagree for Ar and Xe beyond the reading: Ar 4p at 248 nm, the long-dashed curve, reads 4.55 x 10^-18 cm^2, 0.84 of Table II’s 5.4, and Xe 6p at 308 nm, the dash-dot curve (on the solid one there), reads 8.48, 1.12 of Table II’s 7.6. The curves are identified by their dashes and by where they begin (Xe, the longest wavelength, about 520 nm; Kr 485; Ar 470; Ne 415: the order of the J-averaged binding energies). The text sides with Table II for Ar: ‘only ~25% higher at lambda = 250 nm’ than hyman_1977 (p. 1880), and 5.4/4.3 = 1.26 (the figure gives 1.06); for Kr ‘within ~30%’, 5.2/4.5 = 1.16. Which of figure and table is right for Xe is not known; both are kept, and the Xe curve’s 5 % does not cover it. Table I’s alpha for Ar and Kr (15.64 and 28.82 a0^3) are 1.77 and 1.93 times hyman_1977’s 8.85 and 14.9, ‘almost twice’ (p. 1881).
COMPARISONS (Xe 6p, the level of OEP 8). At 248-250 nm Fig. 3 gives 5.56 (248 nm) and 5.63 x 10^-18 cm^2 (249.6 nm), the Kr and Xe line: 1.29 and 1.50 times kroll_1990’s measured 4.3 +- 0.7 (6p[1/2]0) and 3.7 +- 0.7 (6p[3/2]2) at 248 nm (TC-890); 1.6 times chang_1982’s velocity curve (3.47, TC-931); 1.85 times pindzola_1981’s (TC-932) Dirac-Fock length total of 6p[1/2]0 at 4.97 eV (3.049) and 2.4 times its Hartree-Fock length (2.376); 1.9 times payne_1981’s ‘sigma_I ~ 3 x 10^-18’ at 2496 A (Pindzola, unpublished). At 308 nm Table II’s 7.6 is 1.10 times chang_1982’s length value 6.9 (Table II there, ‘about 5-15% below those of Duzy and Hyman’), and 1.65 and 2.1 times pindzola_1981’s Dirac-Fock and Hartree-Fock length totals at 4.03 eV (4.62 and 3.64, log-interpolated between its 3.20 and 4.20 eV rows). The J average is the largest of the calculations held and lies above the measurement. Other gases: Ar 4p 5.4 and Kr 5p 5.2 at 248 nm are 1.26 and 1.16 times hyman_1977’s 4.3 and 4.5 (2486 A), and 1.13 and 1.16 times chang_1982’s 4.8 and 4.5; Ne 3p 2.3 at 308 nm is 1.15 times chang_1982’s 2.0. Kr 5p at 215 nm (Fig. 3’s solid line, the top of three, read by the same method, 4.07 x 10^-18 cm^2) against dakka_2018’s 2p6 (5p[3/2]2) 3.8 +- 1.7 x 10^-18 as printed, defined with half the photon flux (its record): 1.07 as printed, 2.1 on the photon flux. payne_1981’s ‘sigma_I = 10^-18’ for Kr 5p[1/2]0 at 3262 A is a ninth of Fig. 3’s Kr line there (9.3 x 10^-18 at 327 nm, the Kr and Xe line). hummer_1998 is helium, which this paper does not treat: no level is common.
QUOTED ELSEWHERE. chang_1982’s ‘Duzy and Hyman’ column (reproduced there, TC-931) is this Table II exactly (Ne 2.3, Ar 5.4, Kr 5.2, Xe 7.6 x 10^-18 cm^2 = Mb); chang_1982 cites the paper as ‘Phys. Rev. A 22, 1978 (1980)’, a misprinted page (1878), and its record says the original is not in the library, which it now is. payne_1982’s Figs. 5-7 ‘taken from Duzy and Hyman (1980)’ are this paper’s Figs. 2, 3 and 5, cited correctly.
NOT TAKEN. Table I (r0, alpha and the fit’s average deviation per gas): parameters of the model potential; alpha is an effective value, ‘much larger than ... the “true” dipole polarizability of the core’ (p. 1879), and no quantity holds it. Fig. 1 (Ne 3s against the photoelectron energy, with McCann and Flannery’s and Hazi and Rescigno’s curves), Fig. 2 (the s states, against wavelength, linear sigma 0-3 x 10^-19 cm^2, Cooper minima near threshold), Fig. 5 (the d states) and Fig. 3’s Ne, Ar and Kr curves: raster figures of configurations OEP 8 does not use; Fig. 3’s other curves are read only at Table II’s wavelengths and, for Kr, at 215 and 327 nm (above). Fig. 4 (the oscillator-strength distributions of np -> n’d, discrete transitions as Fano-Cooper histograms): no oscillator strength is printed as a number. The positions of the minima (Ne 3p -> ed at epsilon = 0.37 Ry; Xe 5d -> ep at 0.31 Ry and 5d -> ef at 0.75 Ry; p. 1881): features, not values of a quantity. Dunning and Stebbings’s experimental upper bounds for the Ar(4s 3P0,2) and Kr(5s 3P0,2) cross sections at threshold, 1.1 x 10^-18 and 4.9 x 10^-19 cm^2 (p. 1880, quoted): bounds at an unstated threshold wavelength, from F. B. Dunning and R. F. Stebbings, Phys. Rev. A 9, 2378 (1974), not in the library. Nothing here is two-photon data, and no further two-photon data is cited.
Recorded bibliographic identity status: VALIDATED_WITH_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents.
Datasets#
duzy_1980/table2_Ar_4p#
{
"id": "table2_Ar_4p",
"material": "Ar",
"file": "Ar/duzy_1980__table2_4p.csv",
"table": "tbl_398a22d38504",
"quantity": "excited_state_photoionization_cross_section",
"unit": "cm2",
"scale": 1e-18,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"initial_level": "Ar 3p5 4p, averaged over all J levels of the configuration (p. 1878)",
"method": "semiempirical central-field model: Hartree-Fock ion potential plus a polarisation potential fitted to the J-averaged binding energies (Table I); single channel, no spin-orbit",
"gauge": "length"
}
}
Table II (p. 1882), Ar* 3p5 4p at 248 nm (KrF): 5.4 x 10^-18 cm2. No uncertainty is stated. Fig. 3’s long-dashed curve reads 4.55 x 10^-18 cm2 at 248 nm, 0.84 times this (the record’s notes).
duzy_1980/table2_Ar_3d#
{
"id": "table2_Ar_3d",
"material": "Ar",
"file": "Ar/duzy_1980__table2_3d.csv",
"table": "tbl_398a22d38504",
"quantity": "excited_state_photoionization_cross_section",
"unit": "cm2",
"scale": 1e-18,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"initial_level": "Ar 3p5 3d, averaged over all J levels of the configuration (p. 1878)",
"method": "semiempirical central-field model: Hartree-Fock ion potential plus a polarisation potential fitted to the J-averaged binding energies (Table I); single channel, no spin-orbit",
"gauge": "length"
}
}
Table II (p. 1882), Ar* 3p5 3d (‘3d’ under Ar*) at 248 nm (KrF): 2.4 x 10^-18 cm2. No uncertainty is stated.
duzy_1980/table2_Kr_5p#
{
"id": "table2_Kr_5p",
"material": "Kr",
"file": "Kr/duzy_1980__table2_5p.csv",
"table": "tbl_398a22d38504",
"quantity": "excited_state_photoionization_cross_section",
"unit": "cm2",
"scale": 1e-18,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"initial_level": "Kr 4p5 5p, averaged over all J levels of the configuration (p. 1878)",
"method": "semiempirical central-field model: Hartree-Fock ion potential plus a polarisation potential fitted to the J-averaged binding energies (Table I); single channel, no spin-orbit",
"gauge": "length"
}
}
Table II (p. 1882), Kr* 4p5 5p at 248 nm (KrF): 5.2 x 10^-18 cm2. No uncertainty is stated.
duzy_1980/table2_Kr_4d#
{
"id": "table2_Kr_4d",
"material": "Kr",
"file": "Kr/duzy_1980__table2_4d.csv",
"table": "tbl_398a22d38504",
"quantity": "excited_state_photoionization_cross_section",
"unit": "cm2",
"scale": 1e-18,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"initial_level": "Kr 4p5 4d, averaged over all J levels of the configuration (p. 1878)",
"method": "semiempirical central-field model: Hartree-Fock ion potential plus a polarisation potential fitted to the J-averaged binding energies (Table I); single channel, no spin-orbit",
"gauge": "length"
}
}
Table II (p. 1882), Kr* 4p5 4d (‘4d’ under Kr*) at 248 nm (KrF): 2.8 x 10^-18 cm2. No uncertainty is stated.
duzy_1980/table2_Ne_3p#
{
"id": "table2_Ne_3p",
"material": "Ne",
"file": "Ne/duzy_1980__table2_3p.csv",
"table": "tbl_398a22d38504",
"quantity": "excited_state_photoionization_cross_section",
"unit": "cm2",
"scale": 1e-18,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"initial_level": "Ne 2p5 3p, averaged over all J levels of the configuration (p. 1878)",
"method": "semiempirical central-field model: Hartree-Fock ion potential plus a polarisation potential fitted to the J-averaged binding energies (Table I); single channel, no spin-orbit",
"gauge": "length"
}
}
Table II (p. 1882), Ne* 2p5 3p at 308 nm (XeCl): 2.3 x 10^-18 cm2. No uncertainty is stated.
duzy_1980/table2_Ne_3d#
{
"id": "table2_Ne_3d",
"material": "Ne",
"file": "Ne/duzy_1980__table2_3d.csv",
"table": "tbl_398a22d38504",
"quantity": "excited_state_photoionization_cross_section",
"unit": "cm2",
"scale": 1e-18,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"initial_level": "Ne 2p5 3d, averaged over all J levels of the configuration (p. 1878)",
"method": "semiempirical central-field model: Hartree-Fock ion potential plus a polarisation potential fitted to the J-averaged binding energies (Table I); single channel, no spin-orbit",
"gauge": "length"
}
}
Table II (p. 1882), Ne* 2p5 3d (‘3d’ under Ne*) at 308 nm (XeCl): 0.6 x 10^-18 cm2. No uncertainty is stated.
duzy_1980/table2_Xe_6p#
{
"id": "table2_Xe_6p",
"material": "Xe",
"file": "Xe/duzy_1980__table2_6p.csv",
"table": "tbl_398a22d38504",
"quantity": "excited_state_photoionization_cross_section",
"unit": "cm2",
"scale": 1e-18,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"initial_level": "Xe 5p5 6p, averaged over all J levels of the configuration (p. 1878)",
"method": "semiempirical central-field model: Hartree-Fock ion potential plus a polarisation potential fitted to the J-averaged binding energies (Table I); single channel, no spin-orbit",
"gauge": "length"
}
}
Table II (p. 1882), Xe* 5p5 6p at 308 nm (XeCl): 7.6 x 10^-18 cm2. No uncertainty is stated. Fig. 3’s dash-dot curve reads 8.48 x 10^-18 cm2 at 308 nm, 1.12 times this (the record’s notes).
duzy_1980/table2_Xe_5d#
{
"id": "table2_Xe_5d",
"material": "Xe",
"file": "Xe/duzy_1980__table2_5d.csv",
"table": "tbl_398a22d38504",
"quantity": "excited_state_photoionization_cross_section",
"unit": "cm2",
"scale": 1e-18,
"abscissa_unit": "nm",
"use": "check",
"parameters": {
"initial_level": "Xe 5p5 5d, averaged over all J levels of the configuration (p. 1878)",
"method": "semiempirical central-field model: Hartree-Fock ion potential plus a polarisation potential fitted to the J-averaged binding energies (Table I); single channel, no spin-orbit",
"gauge": "length"
}
}
Table II (p. 1882), Xe* 5p5 5d (‘5d’ under Xe*) at 308 nm (XeCl): 9.3 x 10^-18 cm2. No uncertainty is stated.
duzy_1980/fig3_Xe_6p#
{
"id": "fig3_Xe_6p",
"material": "Xe",
"file": "Xe/duzy_1980__fig3_6p.csv",
"table": "fig_1e192e00a6b7",
"digitised": "raster",
"quantity": "excited_state_photoionization_cross_section",
"unit": "cm2",
"abscissa_unit": "nm",
"use": "check",
"uncertainty": {
"relative": 0.05,
"level": "not stated"
},
"parameters": {
"initial_level": "Xe 5p5 6p, averaged over all J levels of the configuration (p. 1878)",
"method": "semiempirical central-field model: Hartree-Fock ion potential plus a polarisation potential fitted to the J-averaged binding energies (Table I); single channel, no spin-orbit",
"gauge": "length"
}
}
Fig. 3 (p. 1880), the Xe 6p (dash-dot) curve against the photon wavelength as drawn, read from the image where it can be told from the others: 514-392 nm (alone), 333-246 nm (drawn on the Kr 5p curve: the line’s value), 219-205 and 146-109 nm (the middle of three lines); each point’s pixel and rule in ‘printed’. At 308 nm it reads 1.12 times Table II’s 7.6 x 10^-18 cm2 (the record’s notes). 5 %: the reading.
Formulas#
No formulas are recorded.
Corrections#
No dataset errata are recorded in this source record.
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.