garrett_1986 ============ W\. R\. Garrett, W\. R\. Ferrell, M\. G\. Payne and J\. C\. Miller, "Influence of third\-harmonic fields on multiphoton ionization of noble gases in unfocused laser beams", Phys\. Rev\. A 34, 1165 \(1986\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1103/physreva\.34\.1165 `__ **Source kind:** measurement **Recorded technique:** Multiphoton ionization of xenon near its three\-photon resonances \(6s, 6s', 5d, 7s J = 1; Kr 5s'\) with unfocused, linearly polarized dye\-laser beams \(excimer pumped; 1\-15 mJ, 10\-12 ns, 1\.5 cm^\-1, or 1\-8 mJ, 4 ns, 0\.3 cm^\-1\), single\-pass and counterpropagating, detected by proportional counters calibrated at every pressure against 55Fe x rays \(11\.5 cm counting length\)\. In Xe\-Ar and Xe\-Kr mixtures the ionization at the frequency where the third harmonic is phase matched on the blue \(negatively dispersive\) side of a Xe resonance mimics the third\-harmonic output; the phase\-matching detuning and the width of the profile, analysed with the theory of Payne, Garrett and Ferrell \(Phys\. Rev\. A 34, 1143 \(1986\)\), give the oscillator strength, the dimer absorption coefficient and n\(3 omega\) of the buffer gas\. **Materials in structured entries:** Kr **Dataset quantities:** refractivity\_per\_density **Contents:** 1 dataset; 0 formulas. Curation notes -------------- Journal pages 1165\-1177 = PDF pages 1\-13 \(page 14 repeats Fig\. 1\)\. Identity checked against the first page\. WHAT THE PAPER GIVES FOR DISPERSION\. The phase\-matching condition in a mixture of an active gas A \(Xe\) and a buffer B \(Ar or Kr\), Eq\. \(9\)\-\(12\), pp\. 1169\-1170\: Delta k = 3 k\_omega \- k\_3omega = \(3 omega / c\)\[n\(omega\) \- n\(3 omega\)\] = Delta k\_0 \+ kappa / Delta\_r, with kappa = 2 pi omega\_r N\_A \|D\_01\|^2 / \(hbar c\) = pi N\_A \(e^2 / m c\) F\_01 the resonant part, Delta\_r = 3 omega \- omega\_r, and Delta k\_0, nearly frequency independent, the buffer's part \(proportional to P\_B\)\. Delta k = 0 at the detuning Delta\_m = \-kappa / Delta k\_0, i\.e\. a wavelength shift Delta lambda\_m = C P\_A / P\_B, C 'a slowly varying function of lambda' \(Eq\. \(12\)\)\. With F\_01 known, Delta\_m gives n\_B\(omega\) \- n\_B\(3 omega\) \(p\. 1174\)\. This is the Delta k = 0 condition of a MIXTURE, N\_A Delta alpha\_A \+ N\_B Delta alpha\_B = 0 with Delta alpha = alpha\(3 omega\) \- alpha\(omega\), so N\_A / N\_B = \-Delta alpha\_B / Delta alpha\_A\. The package's phase\_match\_density\_ratio is Shelton's equal\-mismatch ratio, rho\_gas / rho\_ref = Delta alpha\_ref / Delta alpha\_gas \(positive\)\: the printed \(positive\) mixture ratios are its negative and cannot be stored in it, and no other quantity holds them\. They are recorded here \(TC\-717\)\: \- p\. 1171 and Fig\. 7\: 6\.8 Torr Xe \+ 800 Torr Ar \(P\_Xe / P\_Ar = 0\.0085, printed\), phase matched at 439\.62 nm, Delta lambda = \-1\.26 nm from the 6s \[3/2\] J = 1 three\-photon resonance at 440\.88 nm \(laser wavelengths; harmonic 146\.54 nm\); laser bandwidth 0\.013 nm\. Theory inputs\: sigma = 0\.3e10 s^\-1, F\_01 = 0\.28 \(Chashchina and Shreider\), beta = 1\.3e\-4 P\_Xe P\_Ar \(cm^\-1, Torr\)\. \- Fig\. 6 \(p\. 1170\), printed in the figure\: P\_Xe = 1\.1 Torr, kappa = 2\.48e14 P\_Xe \(rad s^\-1 cm^\-1, Torr\), Delta k\_R = \-0\.057 P\_Ar \(cm^\-1, Torr\)\: the argon mismatch at the 6s phase\-matching wavelengths \(about 146\.5 nm; temperature not stated\)\. With the case above they give Delta lambda\_m = \-1\.27 nm \(computed\), against the printed \-1\.26\. The peaks for P\_Ar = 95\-179 Torr are not digitised\: their positions on the raster axis do not follow Eq\. \(12\) with these constants \(for 179 Torr the peak lies near 439\.6 nm, where the constants predict 440\.0 nm\)\. \- p\. 1176, Fig\. 11\: P\_Xe = 0\.76 Torr, P\_Ar = 202\.2 Torr\: the phase\-matching peak coincides with the 4f \[3/2\] J = 2 resonance at 440\.3 nm \(laser\), so Delta k = 0 at 440\.3 nm for P\_Xe / P\_Ar = 0\.00376 \(computed\); the wavelength is printed to 0\.1 nm\. \- p\. 1172, Fig\. 8\: P\_Xe / P\_Ar = 0\.0198 \(P\_Xe = 2\.64 Torr, 133 Torr Ar\), Delta lambda\_m = \-1\.004 nm from the 5d \[3/2\]\_1 level \(whose wavelength is not printed; 10\.401 eV in chan\_1992's table, i\.e\. 357\.61 nm laser, 356\.61 nm phase matched, harmonic 118\.87 nm\)\. \- p\. 1174, Fig\. 10\: P\_Xe = 4\.04 Torr, P\_Ar = 701 Torr, 5d \[3/2\]\_1, FWHM 0\.0079 nm\. The text prints Delta lambda\_m = \-2\.47 nm, the caption \-0\.247 nm\. The caption is right\: Eq\. \(12\) scales Delta lambda\_m with P\_Xe / P\_Ar, and \-1\.004 nm at 0\.0198 gives \-0\.29 nm at 0\.00576 \(the text's value would need a C ten times larger\); \-0\.247 nm places the harmonic at 119\.12 nm, the wavelength of ferrell\_1987's argon point \(119\.120 nm\)\. Not a dataset, so recorded as a finding, not an erratum\. \- p\. 1173, Fig\. 9\: Xe with Kr buffer, Delta lambda = \-1\.64 nm from the 6s resonance \(harmonic 146\.41 nm\); the pressure ratio is not printed\. Its analysis \(p\. 1175\) gives F\_01 = 0\.26 for Xe 6s \(J = 1\), 2 beta = 1e\-4 P\_Xe P\_Kr \(cm^\-1, Torr\), and the krypton refractivity per atom at 146\.4 nm \(the dataset below\)\. The text's '\[n\_Kr\(3 omega\) \- 1\]/N\_Kr = 2\.61 x 10^\-23 cm^\-3' \(p\. 1175\) has the unit misprinted as in Ferrell et al\. \(1987\)\: the quantity is in cm^3 \(a Kr refractivity of 7\.0e\-4 at 2\.69e19 cm^\-3\)\. The 'more complete study' announced there \(Ref\. 19\) is ferrell\_1987, whose krypton point at 146\.413 nm \(2\.607e\-23\) is this value to more digits, and whose argon points at 146\.542 and 119\.120 nm come from the Xe\-Ar conditions above\: this paper's numbers are the same determinations, never to be fitted beside ferrell\_1987's\. Third\-order data \(checked 2026\-09\-29\)\: none\. The three\-photon Rabi frequency and the sum alpha\(omega\) of Eq\. \(19\) are symbolic; no chi\(3\) or gamma value is printed, and Omega\_3 is 'not measured' \(p\. 1168\)\. No third\-order dataset\. **Recorded bibliographic identity status:** VALIDATED\_WITH\_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- garrett\_1986/experiment\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "experiment_Kr", "material": "Kr", "table": "text", "quantity": "refractivity_per_density", "unit": "cm3", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "state": "1atm_0C", "density": "unknown", "use": "check" } 1 inline points in the source record. p\. 1175\: 'we obtained for krypton an index of refraction per atom of \[n\_Kr\(3 omega\) \- 1\]/N\_Kr = 2\.61 x 10^\-23 cm^\-3 at lambda\_3omega = 146\.4 nm' \(unit misprinted\: cm^3\), from the fit of theory to the Xe\-Kr phase\-matching data of Fig\. 9 \(Delta lambda = \-1\.64 nm from the Xe 6s resonance at 440\.88 nm, harmonic 146\.41 nm\), with n\_Kr\(omega\) taken as known\. No uncertainty stated\. Per atom, so the state is nominal \(0 C, 1 atm\)\. The same determination as ferrell\_1987/experiment\_Kr \(2\.607e\-23 at 146\.413 nm\), reported there to more digits\: a check, never fitted beside it\. 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 :doc:`review register ` for the checks and decisions.