tammer_1990 =========== R\. Tammer and W\. Hüttner, "The anisotropy of the second hyperpolarizability of molecular hydrogen from the pressure and temperature dependence of the Kerr effect", Chem\. Phys\. 146, 155 \(1990\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1016/0301\-0104\(90\)90014\-z `__ **Source kind:** measurement **Recorded technique:** Absolute dc Kerr effect of H2 and D2 at 632\.8 nm \(25 mW He\-Ne laser\)\: a temperature\-stabilised Senarmont\-type ellipsometer whose Faraday compensator current, held at null by a PID loop with 600 Hz Faraday modulation and phase\-sensitive detection, measures the phase difference; Kerr condenser of two stainless\-steel plates 0\.03 x 0\.63 m, 6\.00 \+\- 0\.01 mm apart on glass\-ceramic spacers, in a pressure cell to 125 bar, \+\-0\.1 C from \-100 to 200 C; about 12 kV; 0\.5 % edge correction \(pp\. 157\-158\)\. H2 \(99\.999 %\) at 199 \(p, T\) settings at 13 temperatures, 196\.1\-411\.7 K, pressures to 120 bar; D2 \(99\.7 %\) at 65 pressures, 3\-16 bar, 24\.9 C\. Densities from the Beattie\-Bridgeman relation; K = a rho \+ b rho^2 per temperature \(Eq\. 12\); molar Kerr constants with two local\-field functions and extrapolation to zero density, mK = A\_K \+ B\_K N \(Eqs\. 3\-4\) \(pp\. 158\-159\)\. **Materials in structured entries:** D2, H2 **Dataset quantities:** hyperpolarizability, kerr\_virial\_coefficient, molar\_kerr\_constant **Contents:** 11 datasets; 2 formulas. Curation notes -------------- SUPERSEDED CALIBRATION\. The field integral of this apparatus was wrong \('a machining fault in manufacturing the Kerr plates', tammer\_1992 p\. 154\); Tammer, Löblein, Peting & Hüttner \(tammer\_1992\) calibrated it by the Stark effect of OCS and state that 'all values K, mK, and A\_K given in ref\. \[3\] should be multiplied by' 1\.0637 \+\- 0\.0031, re\-evaluating this paper's Table 1 in their Table 1 \(the refit is not a uniform factor\: see tammer\_1992\)\. Every value here is therefore recorded as printed with use = 'check' \(or 'reproduced' for other authors' values\)\: the H2 gamma of this paper, 4\.15\(12\) x 10^\-62, is 4\.68\(14\) x 10^\-62 after the correction\. The D2 value was not re\-evaluated in tammer\_1992; with the same factor its A\_K would be 7\.802 x 10^\-29 and gamma about 4\.17 \+ 0\.0637 x 7\.335 x 1\.1909 = 4\.73 x 10^\-62 \(computed here, not a value of either paper\)\. Pages are the journal's \(155\-163; p\. = pdf page \+ 154\)\. DEFINITIONS \(pp\. 155\-156\)\. gamma = \(1/10\) sum \(3 gamma\_ghgh \- gamma\_gghh\) = \(3/2\)\(gamma\_zzzz \- gamma\_xxzz\) = \(3/2\)\(gamma\_par \- gamma\_perp\) \(Eq\. 1\), the anisotropy of the hyperpolarizability, with the field\-induced polarizability \(1/2\) sum gamma\_ghij E\_i E\_j \(p\. 155\)\: Buckingham's gamma\_K in the Taylor\-series convention\. Delta n = n\_z \- n\_x = lambda K E^2 \(Eq\. 2\); K = \(27/2\)\(f\(n, eps\)/\(lambda n\)\) mK N \(Eq\. 3\), N in mol per volume; mK = A\_K \+ B\_K N \(Eq\. 4\); A\_K = \(N\_A/\(81 eps0\)\)\[gamma \+ \(Delta alpha Delta alpha^0\)\_eff / 5 k\_B T\] \(Eq\. 5\), with the quantum statistical average over rotational states of Eqs\. \(6\)\-\(8\) \(spin weights 1\:3 for H2, 2\:1 for D2; hG\(H2\) = 59\.340 cm^\-1, hG\(D2\) = 29\.908 cm^\-1, Table 1 note a\)\. Local\-field functions f^\(2\) = \(\(n^2 \+ 2\)/3\)\(\(eps \+ 2\)/3\) \(Eq\. 13\) and f^\(4\) = \(\(n^2 \+ 2\)/3\)^2\(\(eps \+ 2\)/3\)^2 \(Eq\. 14\); 'A\_K as a function of temperature was found unaffected by the choice of the local\-field function while two different sets of B\_K were obtained' \(p\. 159\)\. gamma is A\_K minus the orientation term computed from the J\-dependent ab initio anisotropies \(Rychlewski 1980, 1983; Bishop & Cheung 1980\)\: an electronic plus vibrational gamma\_K\. UNCERTAINTY \(p\. 158\)\: reproducibility after reassembly 'better than \+\-0\.5%' \(compensation current calibration included\); 'An additional systematic error caused by the combined uncertainties in determining p, T, and E of at most \+\-1\.1% must be taken into account in the mK and A\_K values'\. Table 1\: 'The errors given in parentheses in units of the least significant figures are standard deviations'\. Mean gamma = \(4\.149 \+\- 0\.013\) x 10^\-62 SI \('the error means one standard deviation', Eq\. 15, p\. 159\); with the 1\.1 % systematic part of A\_K the final 4\.15\(12\) of Table 2 \(the systematic contribution '\+\-0\.11 x 10^\-62 SI', p\. 162\)\. D2\: 'one standard deviation and an additional systematic error of 1\.6% in A\_K\(D2\)' \(p\. 159\)\. Fitting B\_K = a0 \+ a1/T \+ a2/T^2 \(Eq\. 24\) with gamma to the original data gave gamma = 4\.160\(15\) x 10^\-62 SI \(p\. 163\)\. TABLE 1 \(p\. 160\)\. Taken\: A\_K, B\_K^\(4\), B\_K^\(2\), gamma \(H2, 13 temperatures; D2 at 298\.1 K\: A\_K and gamma only\)\. Not taken\: 10^19 a \(C^2 m^4 J^\-2 kg^\-1\) and 10^21 b \(C^2 m^7 J^\-2 kg^\-2\) of Eq\. \(12\), and 10^29 Delta 'Delta = A\_K \- K\_K^calc' \(note b\: K\_K^calc is a slip for A\_K^calc\) with A\_K^calc from Eq\. \(5\) and the mean gamma\. Footnote c\: 'The mean value is gamma = 4\.149\(13\) x 10^\-62 C^4 m^4 J^\-3'\. The 376\.8 K row is printed 376\.5 K in tammer\_1992\. TABLE 2 \(p\. 161\)\: 'Comparison of hyperpolarizability anisotropies of H2 and D2 obtained in this work with literature values', with an esu column \('1 esu corresponds to 1\.2379 x 10^\-25 C^4 m^4 J^\-3', note a; not taken\)\. Rows\: this work \(note b\: 'Error includes one standard deviation \(see table 1\) and systematical contributions'\); \[3\] Buckingham & Orr 1968 \(buckingham\_1968b; 3\.43\(37\) = its 0\.277 esu for H2\); \[4\] Carusotto et al\. 1985 \(carusotto\_1985\), 'Transferred to lambda = 632\.8 nm, see text' \(note c\)\: the authors subtracted the orientation terms from Carusotto's room\-temperature A\_K and moved gamma from 514\.5 to 632\.8 nm with Bishop, Pipin & Rérat's electronic dispersion and vibrational terms \(p\. 161\); \[1\] Bishop, Pipin & Rérat 1990 ab initio \(note d\: 'Error is estimated'\)\. 'They all refer to 632\.8 nm\.' The authors' result is 6\.8 % below theory \(p\. 161\)\. TEXT \(pp\. 162\-163\)\: ESHG and ac Kerr results transferred to the dc Kerr gamma at 632\.8 nm\. From Mizrahi & Shelton's ESHG ratio \(Eq\. 20, fitted by Shelton & Lu 1988\) and Bishop & Pipin's He\: Eq\. \(21\) gamma\_par,ESHG^e and Eq\. \(22\) gamma^e \(formulas\), plus the vibrational correction \-0\.045 x 10^\-62 SI for He\-Ne light\: 'gamma = \(4\.42 \+\- 0\.03\) x 10^\-62 SI' \(the 0\.6 % experimental error of Mizrahi & Shelton\); from Rosasco & Hurst's ac Kerr \(4\.92 \+\- 0\.24\) x 10^\-62 SI at 676\.6 and 563\.3 nm\: gamma^e = \(4\.57 \+\- 0\.23\) and gamma = \(4\.52 \+\- 0\.23\) x 10^\-62 SI \(text\_transferred\_H2\)\. B\_K^\(4\) are 'smaller by a factor of two than those found by Buckingham and Orr \[3\], but have the same \(positive\) sign' \(p\. 162\)\. Reproductions elsewhere\: bishop\_1991/expt\_dc\_kerr\_H2 \(row tammer\_huttner\_1990, 666 \+\- 19 au = 4\.15\(12\) x 10^\-62 / 6\.2354e\-65\) and expt\_dc\_kerr\_D2 \(669 \+\- 26 au = 4\.17\(16\)\); shelton\_1993/gamma\_R\_tammer \(685\.3 au\: Shelton & Rugar's evaluation of this paper's orientation expression, Eq\. 6, not a value printed here\)\. The library copy has no validation warnings \(identity reviewed\: title, first author and year agree\)\. **Recorded bibliographic identity status:** VALIDATED\_WITH\_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- tammer\_1990/table1\_A\_K\_H2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table1_A_K_H2", "material": "H2", "file": "H2/tammer_1990__table1_A_K_H2.csv", "table": "tbl_1f9c20083bf3", "quantity": "molar_kerr_constant", "unit": "C2 m5 J-2 mol-1", "scale": 1e-29, "abscissa": "temperature", "abscissa_unit": "K", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "wavelength_nm": 632.8 } } Table 1 \(p\. 160\)\: the first molar Kerr virial coefficient A\_K of H2 \(Eq\. 4, including the orientation term\) at 13 temperatures, 196\.1\-411\.7 K, 632\.8 nm\. Standard deviations; a systematic \+\-1\.1 % \(p, T, E\) applies \(p\. 158\)\. Superseded calibration\: tammer\_1992/table1\_A\_K\_H2 holds these values re\-evaluated \(about x 1\.0637\)\. tammer\_1990/table1\_A\_K\_D2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table1_A_K_D2", "material": "D2", "file": "D2/tammer_1990__table1_A_K_D2.csv", "table": "tbl_1f9c20083bf3", "quantity": "molar_kerr_constant", "unit": "C2 m5 J-2 mol-1", "scale": 1e-29, "abscissa": "temperature", "abscissa_unit": "K", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "wavelength_nm": 632.8 } } Table 1 \(p\. 160\)\: A\_K of D2 at 298\.1 K \(24\.9 C in the text, p\. 159\), 65 pressures between 3 and 16 bar, extrapolated linearly to zero density\. Standard deviation; the text adds a 1\.6 % systematic error \(p\. 159\)\. Superseded calibration \(the tammer\_1992 factor 1\.0637 applies to 'all values K, mK, and A\_K'; D2 was not re\-evaluated there\)\. tammer\_1990/table1\_B\_K4\_H2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table1_B_K4_H2", "material": "H2", "file": "H2/tammer_1990__table1_B_K4_H2.csv", "table": "tbl_1f9c20083bf3", "quantity": "kerr_virial_coefficient", "unit": "C2 m8 J-2 mol-2", "scale": 1e-34, "abscissa": "temperature", "abscissa_unit": "K", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "wavelength_nm": 632.8, "order": 2 } } Table 1 \(p\. 160\)\: the second molar Kerr virial coefficient B\_K^\(4\) of H2 \(with the local\-field function f^\(4\), Eq\. 14\), 13 temperatures\. Standard deviations\. Superseded calibration \(tammer\_1992/table1\_B\_K4\_H2\)\. tammer\_1990/table1\_B\_K2\_H2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table1_B_K2_H2", "material": "H2", "file": "H2/tammer_1990__table1_B_K2_H2.csv", "table": "tbl_1f9c20083bf3", "quantity": "kerr_virial_coefficient", "unit": "C2 m8 J-2 mol-2", "scale": 1e-34, "abscissa": "temperature", "abscissa_unit": "K", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "wavelength_nm": 632.8, "order": 2 } } Table 1 \(p\. 160\)\: B\_K^\(2\) of H2 \(with the local\-field function f^\(2\), Eq\. 13\), 13 temperatures\. Standard deviations\. Superseded calibration \(tammer\_1992/table1\_B\_K2\_H2\)\. tammer\_1990/table1\_gamma\_H2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table1_gamma_H2", "material": "H2", "file": "H2/tammer_1990__table1_gamma_H2.csv", "table": "tbl_1f9c20083bf3", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-62, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "columns": { "temperature": "K" }, "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "process": "dc_kerr", "convention": "T", "part": "electronic_vibrational", "component": "K" } } Table 1 \(p\. 160\), last column\: gamma = \(3/2\)\(gamma\_par \- gamma\_perp\) of H2 at 632\.8 nm per temperature \(extra column\), A\_K minus the calculated orientation term; electronic plus vibrational\. Standard deviations; mean 4\.149\(13\) \(note c\)\. Superseded calibration \(tammer\_1992/table1\_gamma\_H2\)\. tammer\_1990/table1\_gamma\_D2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table1_gamma_D2", "material": "D2", "file": "D2/tammer_1990__table1_gamma_D2.csv", "table": "tbl_1f9c20083bf3", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-62, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "columns": { "temperature": "K" }, "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "process": "dc_kerr", "convention": "T", "part": "electronic_vibrational", "component": "K" } } Table 1 \(p\. 160\)\: gamma of D2 at 298\.1 K and 632\.8 nm, 4\.17\(2\), with Rychlewski's \(1983\) and Bishop & Cheung's anisotropies for the orientation term \(p\. 159\)\. Standard deviation\. Superseded calibration\. tammer\_1990/table2\_gamma\_H2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table2_gamma_H2", "material": "H2", "file": "H2/tammer_1990__table2_gamma_H2.csv", "table": "tbl_01dc04374704", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-62, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "check", "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "dc_kerr", "convention": "T", "part": "electronic_vibrational", "component": "K" } } Table 2 \(p\. 161\) and abstract\: gamma\(H2\) = \(4\.15 \+\- 0\.12\) x 10^\-62 C^4 m^4 J^\-3 \(666 \+\- 19 au\), the dc Kerr gamma\_K at 632\.8 nm, the mean over 196\-412 K, electronic plus vibrational\. 'Error includes one standard deviation \(see table 1\) and systematical contributions' \(note b\)\: 0\.013 \+ 0\.11 \(the 1\.1 % of A\_K\); level not stated\. Superseded calibration\: tammer\_1992 gives 4\.68\(14\)\. tammer\_1990/table2\_gamma\_D2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table2_gamma_D2", "material": "D2", "file": "D2/tammer_1990__table2_gamma_D2.csv", "table": "tbl_01dc04374704", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-62, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "check", "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "dc_kerr", "convention": "T", "part": "electronic_vibrational", "component": "K", "temperature_k": 298.1 } } Table 2 \(p\. 161\) and abstract\: gamma\(D2\) = \(4\.17 \+\- 0\.16\) x 10^\-62 C^4 m^4 J^\-3 \(669 \+\- 26 au\) at 632\.8 nm and 298\.1 K, electronic plus vibrational; the error 'includes one standard deviation and an additional systematic error of 1\.6% in A\_K\(D2\)' \(p\. 159\); level not stated\. Superseded calibration, not re\-evaluated in tammer\_1992\. tammer\_1990/table2\_literature\_H2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table2_literature_H2", "material": "H2", "file": "H2/tammer_1990__table2_literature_H2.csv", "table": "tbl_01dc04374704", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-62, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "reproduced", "reproduced_from": [ "buckingham_1968b", "carusotto_1985", "bishop_1990b" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "dc_kerr", "convention": "T", "part": "electronic_vibrational", "component": "K" } } Table 2 \(p\. 161\), literature rows for H2 at 632\.8 nm\: 'ref 3' Buckingham & Orr 1968 \(buckingham\_1968b\), 3\.43\(37\); 'ref 4' Carusotto et al\. 1985 \(carusotto\_1985\), 4\.90\(30\), 'Transferred to lambda = 632\.8 nm' by the authors \(orientation term subtracted, electronic dispersion and vibrational terms of Bishop, Pipin & Rérat; not Carusotto's own number\); 'ref 1' Bishop, Pipin & Rérat 1990 ab initio, 4\.452\(62\) \('Error is estimated'\)\. Levels not stated\. tammer\_1990/table2\_literature\_D2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "table2_literature_D2", "material": "D2", "file": "D2/tammer_1990__table2_literature_D2.csv", "table": "tbl_01dc04374704", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-62, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "reproduced", "reproduced_from": [ "buckingham_1968b", "carusotto_1985", "bishop_1990b" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "dc_kerr", "convention": "T", "part": "electronic_vibrational", "component": "K" } } Table 2 \(p\. 161\), literature rows for D2 at 632\.8 nm\: 'ref 3' Buckingham & Orr 1968 \(buckingham\_1968b\), 3\.0\(6\); 'ref 4' Carusotto et al\. 1985 \(carusotto\_1985\), 4\.81\(28\), transferred to 632\.8 nm by the authors; 'ref 1' Bishop, Pipin & Rérat 1990, 4\.371\(62\) \('Error is estimated'\)\. Levels not stated\. tammer\_1990/text\_transferred\_H2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "text_transferred_H2", "material": "H2", "table": "text", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-62, "abscissa_unit": "nm", "wavelength_medium": "standard_air", "use": "check", "reproduced_from": [ "mizrahi_1985_h2d2", "rosasco_1986" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "dc_kerr", "convention": "T", "part": "electronic_vibrational", "component": "K" } } 3 inline points in the source record. pp\. 162\-163\: other experiments transferred by the authors to the dc Kerr gamma\_K of H2 at 632\.8 nm\. ESHG\: Eq\. \(22\) plus 'the vibrational correction of \-0\.045 x 10^\-62 SI, valid for HeNe radiation \[1\], we arrive at gamma = \(4\.42 \+\- 0\.03\) x 10^\-62 SI \.\.\. The given uncertainty is based on the experimental error of 0\.6% quoted in the original work \[23\]'\. Ac Kerr\: Rosasco & Hurst's gamma^e\_acKE = \(4\.92 \+\- 0\.24\) x 10^\-62 SI 'can be transferred in a similar way \.\.\. The result for 632\.8 nm is gamma^e = \(4\.57 \+\- 0\.23\) x 10^\-62 SI which leads, after adding the vibrational contribution, to gamma = \(4\.52 \+\- 0\.23\) x 10^\-62 SI'\. Rows 1 and 3 are electronic plus vibrational; row 2 electronic only \(the part parameter is that of rows 1 and 3\)\. Derived values, not measurements of this paper\. Formulas -------- tammer\_1990/eq21\_eshg\_par\_H2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "eq21_eshg_par_H2", "material": "H2", "equation": "Eq. (21), p. 162 (from Eq. 20)", "printed": "gamma^e_par,ESHG = 4.067 x 10^-62 (1 + 1.8393 x 10^-10 nu_L^2 + 0.7845 x 10^-20 nu_L^4) SI", "variable": "nu_L^2 = nu_sigma^2 + nu_1^2 + nu_2^2 + nu_3^2 (Eq. 19), wavenumbers in cm^-1", "process": "eshg", "convention": "T", "part": "electronic", "range": "not stated (Shelton & Lu's fit to Mizrahi & Shelton's ESHG data)", "coefficients": { "gamma0": "4.067", "A": "1.8393", "B": "0.7845" }, "coefficient_units": { "gamma0": "1e-62 C^4 m^4 J^-3", "A": "1e-10 cm^2", "B": "1e-20 cm^4" }, "reproduced_from": [ "mizrahi_1985_h2d2", "bishop_1989", "D. P. Shelton and Z. Lu, Phys. Rev. A 37, 2231 (1988)" ], "check": "Constructed by the authors from Eq. (20), gamma^e_par,ESHG(H2)/gamma_par,ESHG(He) = 15.13 (1 + 1.385 x 10^-10 nu_L^2) (Shelton & Lu's fit to Mizrahi & Shelton), and Bishop & Pipin's He, gamma_par(0) = 0.2688 x 10^-62 SI, A = 0.4544 x 10^-10, A' = 0.1552 x 10^-20. Reproduced here (2026-09-26): 15.13 x 0.2688 = 4.0669; 1.385 + 0.4544 = 1.8394; 1.385 x 0.4544 + 0.1552 = 0.7845." } The electronic ESHG gamma\_par of H2 on Bishop & Pipin's He scale, an intermediate of the transfer to the dc Kerr gamma \(Eq\. 22\)\. A derived formula, not a fit of this paper's data\. tammer\_1990/eq22\_dc\_kerr\_H2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "eq22_dc_kerr_H2", "material": "H2", "equation": "Eq. (22), p. 162", "printed": "gamma^e = (3/2)(gamma^e_par - gamma^e_perp) = 4.067 x 10^-62 x (1 + 1.928 x 10^-10 nu_L^2 + 0.947 x 10^-20 nu_L^4) SI", "variable": "nu_L^2 = nu_sigma^2 + nu_1^2 + nu_2^2 + nu_3^2, wavenumbers in cm^-1; dc Kerr: nu_L^2 = 2 nu^2", "process": "dc_kerr", "convention": "T", "part": "electronic", "range": "not stated", "coefficients": { "gamma0": "4.067", "A": "1.928", "B": "0.947" }, "coefficient_units": { "gamma0": "1e-62 C^4 m^4 J^-3", "A": "1e-10 cm^2", "B": "1e-20 cm^4" }, "reproduced_from": [ "mizrahi_1985_h2d2", "bishop_1989", "D. P. Shelton and Z. Lu, Phys. Rev. A 37, 2231 (1988)" ], "check": "Reproduces the text's 4.42 x 10^-62 SI (checked 2026-09-26): at 632.8 nm (air; vacuum wavenumber 15798.5 cm^-1) nu_L^2 = 2 nu^2 = 4.992e8 cm^-2, gamma^e = 4.067 x 1.0986 = 4.468, plus the vibrational -0.045 gives 4.423 x 10^-62 SI." } The electronic dc Kerr gamma\_K of H2 from Eq\. \(21\) with Bishop's Eqs\. \(16\)\-\(18\) \(gamma\_par/gamma\_perp = 3\(1 \+ C nu\_L^2\), C\_KE = \-C\_ESHG\) and Shelton & Lu's C\_ESHG = \-0\.177 x 10^\-10 \(p\. 162\)\. A derived formula\. 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.