shelton_1986_krxe ================= D\. P\. Shelton, J\. Chem\. Phys\. 84, 404 \(1986\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1063/1\.450152 `__ **Source kind:** measurement **Recorded technique:** Gas\-phase electric\-field\-induced second\-harmonic generation \(ESHG\) with periodic phase matching \(electrode spacing 2\.69 mm, phase\-match pressures 0\.4\-6 atm\), cw dye or argon\-ion laser at 650\.0, 590\.0, 514\.5 and 488\.0 nm; Kr and Xe measured against Ar; densities from pressure and temperature by the virial equation of state \(Dymond and Smith\); refractive indices at phase match from tables \(Bogaard and Orr; Leonard 1974\) \(p\. 405\)\. **Materials in structured entries:** Ar, Kr, Xe **Dataset quantities:** hyperpolarizability, hyperpolarizability\_ratio **Contents:** 13 datasets; 3 formulas. Curation notes -------------- No datasets\: the paper reports only hyperpolarizability data, the ratios gamma\_Kr/gamma\_Ar and gamma\_Xe/gamma\_Ar \(Table I, 'accuracy of the ratios is about \+\-0\.3 %', p\. 405\), the absolute gamma\_Kr, gamma\_Xe calibrated on gamma\_Ar/gamma\_He \(Eq\. \(7\), from Mizrahi and Shelton 1985\) and Sitz and Yaris's gamma\_He \(Eq\. \(8\)\), and other processes' gamma values \(Table II\)\. The phase\-match densities, which carry the linear dispersion, are neither tabulated nor quoted, and no density ratio or coherence length is given\. The refractive indices used \(from Leonard 1974 = leonard\_1974, and Bogaard and Orr\) only enter a small local\-field correction\. Not extracted \(third\-order susceptibility, for later\)\: Table I, gamma\_Kr/gamma\_Ar = 2\.359\(6\), 2\.402\(11\), 2\.477\(7\), 2\.502\(7\) and gamma\_Xe/gamma\_Ar = 6\.761\(26\), 7\.128\(21\), 7\.704\(29\), 7\.958\(30\) at 650\.0, 590\.0, 514\.5, 488\.0 nm; the fits gamma = A\[1 \+ B nu^2\], Kr A = 1\.397e\-61 C^4 m^4 J^\-3, B = 18\.93e\-10 cm^2; Xe A = 2\.999e\-61, B = 39\.44e\-10 cm^2 \(Figs\. 1, 2 captions\)\. THIRD\-ORDER DATA \(added 2026\-09\-26; supersedes "No datasets" and "Not extracted" above\)\. Theory \(pp\. 404\-405\)\: the single\-resonance model gamma\_zzzz\(\-omega\_s; omega\_1, omega\_2, omega\_3\) = hbar^\-3 K\(\-omega\_s; omega\_1, omega\_2, omega\_3\) {S\_1 P\_1 \- S\_2 P\_2} \(Eq\. 2\), K the process factor, giving gamma\(\-omega\_s; \.\.\.\) = gamma\(0; 0, 0, 0\) \[1 \+ C \(omega\_L/omega\_0\)^2 \+ \.\.\.\] \(Eq\. 5\) with omega\_L^2 = omega\_s^2 \+ omega\_1^2 \+ omega\_2^2 \+ omega\_3^2 \(Eq\. 4\)\: relative dispersion dc Kerr \: ESHG \: THG = 1 \: 3 \: 6 \(p\. 407; Sitz & Yaris's He gives 1 \: 3\.1 \: 6\.1\)\. gamma is the zzzz ESHG gamma of Shelton's series \(Taylor convention, SI C^4 m^4 J^\-3\), on the old He calibration \(Sitz & Yaris; Eq\. 8 converts with 1 au = 6\.2353e\-65 C^4 m^4 J^\-3, against 6\.2360e\-65 in shelton\_1986\_co2\)\. Parts\: atoms, electronic\. 'The dispersion of gamma is large, yielding an optical hyperpolarizability about twice as large as the static value' \(p\. 406\)\. Datasets\: Table I ratios \(check\) and absolute gammas \(primary\), Table II other processes \(reproduced\), and Lehmeier's THG values from the note added in proof\. The fits \(formulas\) are against nu^2 of the fundamental, not nu\_L^2\. **Recorded bibliographic identity status:** VALIDATED\_WITH\_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- shelton\_1986\_krxe/gamma\_Kr\_over\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_Kr_over_Ar", "material": "Kr", "file": "Kr/shelton_1986_krxe__gamma_Kr_over_Ar.csv", "table": "tbl_c9d92892bdc1", "quantity": "hyperpolarizability_ratio", "unit": "1", "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "check", "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "reference_material": "Ar", "process": "eshg", "convention": "T", "part": "electronic" } } Table I \(p\. 405\)\: gamma\_Kr/gamma\_Ar by ESHG, zzzz component, as printed; 'The uncertainty of the last digits is given in parentheses' \(caption\), turned into the sigma column; 'The accuracy of the ratios is about \+\-0\.3%' \(p\. 405\)\. Ratio by Eq\. \(6\)\: gamma\_A/gamma\_B = \(S\_A/S\_B\)^\(1/2\) \(rho\_A n\_A / rho\_B n\_B\)^\-1\. The raw measurement behind gamma\_Kr\. shelton\_1986\_krxe/gamma\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_Kr", "material": "Kr", "file": "Kr/shelton_1986_krxe__gamma_Kr.csv", "table": "tbl_c9d92892bdc1", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-61, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "primary", "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "eshg", "convention": "T", "part": "electronic" } } Table I \(p\. 405\)\: gamma\_Kr in 1e\-61 C^4 m^4 J^\-3 at 650\.0, 590\.0, 514\.5, 488\.0 nm \(air\), note a\: 'Obtained using Refs\. 15 and 18', i\.e\. calibrated through Mizrahi & Shelton's gamma\_Ar/gamma\_He = 25\.85 \[1 \+ 7\.11e\-10 nu^2\] \(Eq\. 7, mizrahi\_1985\_arn2o2\) and Sitz & Yaris's gamma\_He = 42\.6 au \[1 \+ 2\.94e\-10 nu^2\] \(Eq\. 8, 1 au = 6\.2353e\-65 C^4 m^4 J^\-3\), nu the fundamental in cm^\-1; 'An uncertainty of \+\-0\.4% due to the gamma\_Ar/gamma\_He calibration' is included, the ~1 % of gamma\_He is not \(p\. 406\)\. Parenthesised last\-digit uncertainties as sigma\. shelton\_1990 Table III\(b\) reproduces these on the new He calibration \(e\.g\. 204\.6e\-63 against 2\.024e\-61 at 650\.0 nm\)\. shelton\_1986\_krxe/gamma\_Xe\_over\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_Xe_over_Ar", "material": "Xe", "file": "Xe/shelton_1986_krxe__gamma_Xe_over_Ar.csv", "table": "tbl_c9d92892bdc1", "quantity": "hyperpolarizability_ratio", "unit": "1", "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "check", "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "reference_material": "Ar", "process": "eshg", "convention": "T", "part": "electronic" } } Table I \(p\. 405\)\: gamma\_Xe/gamma\_Ar by ESHG, zzzz component, as printed; 'The uncertainty of the last digits is given in parentheses' \(caption\), turned into the sigma column; 'The accuracy of the ratios is about \+\-0\.3%' \(p\. 405\)\. Ratio by Eq\. \(6\)\: gamma\_A/gamma\_B = \(S\_A/S\_B\)^\(1/2\) \(rho\_A n\_A / rho\_B n\_B\)^\-1\. The raw measurement behind gamma\_Xe\. shelton\_1986\_krxe/gamma\_Xe ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_Xe", "material": "Xe", "file": "Xe/shelton_1986_krxe__gamma_Xe.csv", "table": "tbl_c9d92892bdc1", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-61, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "primary", "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "eshg", "convention": "T", "part": "electronic" } } Table I \(p\. 405\)\: gamma\_Xe in 1e\-61 C^4 m^4 J^\-3 at 650\.0, 590\.0, 514\.5, 488\.0 nm \(air\), note a\: 'Obtained using Refs\. 15 and 18', i\.e\. calibrated through Mizrahi & Shelton's gamma\_Ar/gamma\_He = 25\.85 \[1 \+ 7\.11e\-10 nu^2\] \(Eq\. 7, mizrahi\_1985\_arn2o2\) and Sitz & Yaris's gamma\_He = 42\.6 au \[1 \+ 2\.94e\-10 nu^2\] \(Eq\. 8, 1 au = 6\.2353e\-65 C^4 m^4 J^\-3\), nu the fundamental in cm^\-1; 'An uncertainty of \+\-0\.4% due to the gamma\_Ar/gamma\_He calibration' is included, the ~1 % of gamma\_He is not \(p\. 406\)\. Parenthesised last\-digit uncertainties as sigma\. shelton\_1990 Table III\(b\) reproduces these on the new He calibration \(e\.g\. 586\.5e\-63 against 5\.800e\-61 at 650\.0 nm\)\. shelton\_1986\_krxe/table2\_Kr\_dc\_kerr ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table2_Kr_dc_kerr", "material": "Kr", "file": "Kr/shelton_1986_krxe__table2_Kr_dc_kerr.csv", "table": "tbl_e36736d86d09", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-61, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "reproduced", "reproduced_from": [ "buckingham_1968" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "dc_kerr", "convention": "T", "part": "electronic" } } Table II \(p\. 406\)\: 'Hyperpolarizabilities of Kr and Xe measured by several nonlinear optical processes', 1e\-61 C^4 m^4 J^\-3, note a\: 'Conversion factor 1 esu = 6 x 10^9/c^4 = 7\.4279 x 10^\-25 C^4 m^4 J^\-3 has been used, where the extra factor of 6 converts from susceptibility to hyperpolarizability' \(Ward's per\-molecule esu chi = gamma/6\)\. Reproduced \(converted by the author\)\. Note b\: gamma\(\-omega; omega, 0, 0\), omega\_L^2 = 2 omega^2, 'from Ref\. 19' \(Buckingham & Dunmur, cited as Trans\. Faraday Soc\. 64, 1176 \(1968\); the paper is on p\. 1776 = buckingham\_1968\), 632\.8 nm\. shelton\_1986\_krxe/table2\_Xe\_dc\_kerr ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table2_Xe_dc_kerr", "material": "Xe", "file": "Xe/shelton_1986_krxe__table2_Xe_dc_kerr.csv", "table": "tbl_e36736d86d09", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-61, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "reproduced", "reproduced_from": [ "buckingham_1968" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "dc_kerr", "convention": "T", "part": "electronic" } } Table II \(p\. 406\)\: 'Hyperpolarizabilities of Kr and Xe measured by several nonlinear optical processes', 1e\-61 C^4 m^4 J^\-3, note a\: 'Conversion factor 1 esu = 6 x 10^9/c^4 = 7\.4279 x 10^\-25 C^4 m^4 J^\-3 has been used, where the extra factor of 6 converts from susceptibility to hyperpolarizability' \(Ward's per\-molecule esu chi = gamma/6\)\. Reproduced \(converted by the author\)\. Note b\: gamma\(\-omega; omega, 0, 0\), omega\_L^2 = 2 omega^2, from Ref\. 19 \(buckingham\_1968; cited with page 1176 for 1776\), 632\.8 nm\. shelton\_1986\_krxe/table2\_Kr\_cars ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table2_Kr_cars", "material": "Kr", "file": "Kr/shelton_1986_krxe__table2_Kr_cars.csv", "table": "tbl_e36736d86d09", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-61, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "reproduced", "reproduced_from": [ "lundeen_1983" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "cars", "convention": "T", "part": "electronic", "stokes_nm": 683.0 } } Table II \(p\. 406\)\: 'Hyperpolarizabilities of Kr and Xe measured by several nonlinear optical processes', 1e\-61 C^4 m^4 J^\-3, note a\: 'Conversion factor 1 esu = 6 x 10^9/c^4 = 7\.4279 x 10^\-25 C^4 m^4 J^\-3 has been used, where the extra factor of 6 converts from susceptibility to hyperpolarizability' \(Ward's per\-molecule esu chi = gamma/6\)\. Reproduced \(converted by the author\)\. Note c\: gamma\(\-2 omega\_1 \+ omega\_2; omega\_1, omega\_1, \-omega\_2\), omega\_L^2 = 4 omega\_1^2 \+ 2 \(omega\_1 \- omega\_2\)^2, from Ref\. 10 \(Lundeen et al\. 1983\), pump 532 nm, Stokes 683 nm \(the abscissa is the pump\)\. FWM 'is referenced to the N2 Raman Q\-branch intensity' \(p\. 406\)\. shelton\_1986\_krxe/table2\_Kr\_eshg ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table2_Kr_eshg", "material": "Kr", "file": "Kr/shelton_1986_krxe__table2_Kr_eshg.csv", "table": "tbl_e36736d86d09", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-61, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "reproduced", "reproduced_from": [ "R. S. Finn and J. F. Ward, Phys. Rev. Lett. 26, 285 (1971)" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "eshg", "convention": "T", "part": "electronic" } } Table II \(p\. 406\)\: 'Hyperpolarizabilities of Kr and Xe measured by several nonlinear optical processes', 1e\-61 C^4 m^4 J^\-3, note a\: 'Conversion factor 1 esu = 6 x 10^9/c^4 = 7\.4279 x 10^\-25 C^4 m^4 J^\-3 has been used, where the extra factor of 6 converts from susceptibility to hyperpolarizability' \(Ward's per\-molecule esu chi = gamma/6\)\. Reproduced \(converted by the author\)\. Note d\: gamma\(\-2 omega; omega, omega, 0\), omega\_L^2 = 6 omega^2, from Ref\. 20 \(Finn & Ward 1971\), 694\.3 nm\. shelton\_1986\_krxe/table2\_Xe\_eshg ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table2_Xe_eshg", "material": "Xe", "file": "Xe/shelton_1986_krxe__table2_Xe_eshg.csv", "table": "tbl_e36736d86d09", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-61, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "reproduced", "reproduced_from": [ "R. S. Finn and J. F. Ward, Phys. Rev. Lett. 26, 285 (1971)" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "eshg", "convention": "T", "part": "electronic" } } Table II \(p\. 406\)\: 'Hyperpolarizabilities of Kr and Xe measured by several nonlinear optical processes', 1e\-61 C^4 m^4 J^\-3, note a\: 'Conversion factor 1 esu = 6 x 10^9/c^4 = 7\.4279 x 10^\-25 C^4 m^4 J^\-3 has been used, where the extra factor of 6 converts from susceptibility to hyperpolarizability' \(Ward's per\-molecule esu chi = gamma/6\)\. Reproduced \(converted by the author\)\. Note d\: ESHG from Ref\. 20 \(Finn & Ward 1971\), 694\.3 nm\. shelton\_1986\_krxe/table2\_Kr\_thg ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table2_Kr_thg", "material": "Kr", "file": "Kr/shelton_1986_krxe__table2_Kr_thg.csv", "table": "tbl_e36736d86d09", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-61, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "reproduced", "reproduced_from": [ "ward_1969" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "thg", "convention": "T", "part": "electronic" } } Table II \(p\. 406\)\: 'Hyperpolarizabilities of Kr and Xe measured by several nonlinear optical processes', 1e\-61 C^4 m^4 J^\-3, note a\: 'Conversion factor 1 esu = 6 x 10^9/c^4 = 7\.4279 x 10^\-25 C^4 m^4 J^\-3 has been used, where the extra factor of 6 converts from susceptibility to hyperpolarizability' \(Ward's per\-molecule esu chi = gamma/6\)\. Reproduced \(converted by the author\)\. Note e\: gamma\(\-3 omega; omega, omega, omega\), omega\_L^2 = 12 omega^2, from Ref\. 21 \(Ward & New 1969\), 694\.3 nm\. shelton\_1986\_krxe/table2\_Xe\_thg ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table2_Xe_thg", "material": "Xe", "file": "Xe/shelton_1986_krxe__table2_Xe_thg.csv", "table": "tbl_e36736d86d09", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-61, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "reproduced", "reproduced_from": [ "ward_1969" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "thg", "convention": "T", "part": "electronic" } } Table II \(p\. 406\)\: 'Hyperpolarizabilities of Kr and Xe measured by several nonlinear optical processes', 1e\-61 C^4 m^4 J^\-3, note a\: 'Conversion factor 1 esu = 6 x 10^9/c^4 = 7\.4279 x 10^\-25 C^4 m^4 J^\-3 has been used, where the extra factor of 6 converts from susceptibility to hyperpolarizability' \(Ward's per\-molecule esu chi = gamma/6\)\. Reproduced \(converted by the author\)\. Note e\: THG from Ref\. 21 \(Ward & New 1969\), 694\.3 nm\. shelton\_1986\_krxe/text\_thg\_lehmeier\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "text_thg_lehmeier_Kr", "material": "Kr", "table": "text", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-61, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "reproduced", "reproduced_from": [ "lehmeier_1985" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "thg", "convention": "T", "part": "electronic" } } 1 inline points in the source record. Note added in proof \(p\. 407\)\: 'The recent, accurate THG measurements by H\. J\. Lehmeier et al\. \[Opt\. Commun\. 56, 67 \(1985\)\], give gamma\_Kr = 1\.74 \+\- 0\.17 x 10^\-61 C^4 m^4 J^\-3 and gamma\_Xe = 5\.11 \+\- 0\.51 x 10^\-61 C^4 m^4 J^\-3 at lambda = 1\.055 um, in good agreement with the predicted dispersion curves'\. Lehmeier's values converted by the author to this gamma \(the conversion is not stated; Lehmeier's own chi is defined with P = 4 eps0 chi E^3, see lehmeier\_1985\)\. Medium of 1\.055 um not stated \(air assumed, as the other lines\)\. shelton\_1986\_krxe/text\_thg\_lehmeier\_Xe ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "text_thg_lehmeier_Xe", "material": "Xe", "table": "text", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-61, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "reproduced", "reproduced_from": [ "lehmeier_1985" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "thg", "convention": "T", "part": "electronic" } } 1 inline points in the source record. Note added in proof \(p\. 407\)\: 'The recent, accurate THG measurements by H\. J\. Lehmeier et al\. \[Opt\. Commun\. 56, 67 \(1985\)\], give gamma\_Kr = 1\.74 \+\- 0\.17 x 10^\-61 C^4 m^4 J^\-3 and gamma\_Xe = 5\.11 \+\- 0\.51 x 10^\-61 C^4 m^4 J^\-3 at lambda = 1\.055 um, in good agreement with the predicted dispersion curves'\. Lehmeier's values converted by the author to this gamma \(the conversion is not stated; Lehmeier's own chi is defined with P = 4 eps0 chi E^3, see lehmeier\_1985\)\. Medium of 1\.055 um not stated \(air assumed, as the other lines\)\. Formulas -------- shelton\_1986\_krxe/gamma\_fit\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_fit_Kr", "material": "Kr", "equation": "Fig. 1 caption, p. 405", "printed": "gamma = A[1 + B nu^2]; A = 1.397 x 10^-61 C^4 m^4 J^-3 and B = 18.93 x 10^-10 cm^2, where nu is given in cm^-1", "variable": "nu: vacuum wavenumber of the fundamental in cm^-1 (not nu_L^2; for ESHG nu_L^2 = 6 nu^2)", "process": "eshg", "convention": "T", "part": "electronic", "range": "488.0-650.0 nm (Table I)", "coefficients": { "A": "1.397e-61", "B": "18.93e-10" }, "coefficient_units": { "A": "C^4 m^4 J^-3", "B": "cm^2" }, "calibration": "old He (Sitz & Yaris) via Ar (Eqs. 7, 8)", "check": "Gives 2.023 at 650.0 nm (15380 cm^-1) and 2.507 at 488.0 nm (20487 cm^-1) against 2.024 +- 0.010 and 2.506 +- 0.012. Checked 2026-09-26." } Least\-squares straight line against nu^2\. Superseded by shelton\_1990 Table IV \(162\.1e\-63, A = 1\.389e\-10, B = 3\.465e\-20 against nu\_L^2\)\. shelton\_1986\_krxe/gamma\_fit\_Xe ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_fit_Xe", "material": "Xe", "equation": "Fig. 2 caption, p. 406", "printed": "gamma = A[1 + B nu^2]; A = 2.999 x 10^-61 C^4 m^4 J^-3 and B = 39.44 x 10^-10 cm^2, where nu is given in cm^-1", "variable": "nu: vacuum wavenumber of the fundamental in cm^-1 (not nu_L^2)", "process": "eshg", "convention": "T", "part": "electronic", "range": "488.0-650.0 nm (Table I)", "coefficients": { "A": "2.999e-61", "B": "39.44e-10" }, "coefficient_units": { "A": "C^4 m^4 J^-3", "B": "cm^2" }, "calibration": "old He (Sitz & Yaris) via Ar (Eqs. 7, 8)", "check": "Gives 5.797 at 650.0 nm and 7.964 at 488.0 nm against 5.800 +- 0.032 and 7.970 +- 0.044. Checked 2026-09-26." } Least\-squares straight line against nu^2; its intercept \(3\.0e\-61 = 4810 au\) is the 'visible\-only linear fit' static value that is too low \(shelton\_1990's refit with 1064 and 1319 nm gives 429\.5e\-63 = 6888 au\)\. shelton\_1986\_krxe/calibration\_Ar\_over\_He ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "calibration_Ar_over_He", "material": "Ar", "equation": "Eq. (7), p. 406", "printed": "gamma_Ar/gamma_He = 25.85 [1 + (7.11 x 10^-10 cm^2) nu^2]", "variable": "nu: vacuum wavenumber of the fundamental in cm^-1", "process": "eshg", "convention": "T", "part": "electronic", "range": "'Over the range of frequencies employed in the present measurements' (488-650 nm)", "coefficients": { "ratio0": "25.85", "B": "7.11e-10" }, "coefficient_units": { "ratio0": "1", "B": "cm^2" }, "reproduced_from": [ "mizrahi_1985_arn2o2" ], "check": "Not checked against mizrahi_1985_arn2o2 here." } From Ref\. 15 \(Mizrahi & Shelton, Phys\. Rev\. Lett\. 55, 696 \(1985\)\)\. Eq\. \(8\), gamma\_He = 42\.6 au \[1 \+ 2\.94e\-10 cm^2 nu^2\], is the same Sitz & Yaris line as shelton\_1986\_co2's calibration\_He, but converted here with 1 au = 6\.2353e\-65 C^4 m^4 J^\-3\. 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.