ward_1979 ========= J\. F\. Ward and C\. K\. Miller, Phys\. Rev\. A 19, 826 \(1979\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1103/physreva\.19\.826 `__ **Source kind:** measurement **Recorded technique:** dc\-electric\-field\-induced second\-harmonic generation \(dcSHG, ESHG\) of a 1 MW Q\-switched ruby laser \(694\.3 nm \-\> 347\.2 nm\) in gases at the density of maximum harmonic \(Loschmidt units\), dc fields 21\-58 esu on the beam axis, room temperature \(~20 C\) for the nonpolar molecules and 293\-419 K scans for the polar ones\. Signals alternated with helium; absolute scale from Sitz and Yaris's calculated helium value\. Delta k\_0 from two\-quartz\-plate interference with real\-gas \(virial\) densities\. **Materials in structured entries:** CO, CO2, H2, N2, O2, SF6 **Dataset quantities:** hyperpolarizability **Contents:** 23 datasets; 0 formulas. Curation notes -------------- ESHG hyperpolarizabilities of H2, N2, O2, CO2, SF6 \(Table I, nonpolar\) and CO \(Table II, polar\), and Table III's comparison\. NO, H2S, NH3, H2O, \(CH3\)2O and CH3OH are not curated species \(skipped\)\. Defining equations, exactly \(pp\. 826\-827; conventions 'discussed in Refs\. 4 and 5', Ward and New 1969 and Orr and Ward 1971\)\: \- Eq\. \(1\)\: p\_F^2w \(bar, the average induced dipole amplitude per molecule at 2w\) = \(3/2\) chi^e\_FGHM\(\-2w; 0, w, w\) E^0\_G E^w\_H E^w\_M, 'the E's are electric\-field amplitudes' \(Ward's complex amplitudes with the 1/2 convention\: K\(\-2w; 0, w, w\) = 3/2, as K\(\-w; w, 0, 0\) = 3 and K\(\-3w; w, w, w\) = 1/4 in ward\_1969\)\. So chi = gamma\_T/6, the Ward and New convention\: per molecule in Taylor terms p\(2w\) = \(gamma\_T/4\) E0 E\_w^2 = \(3/2\)\(gamma\_T/6\) E0 E\_w^2\. \- parallel = FGHM YYYY \(optical field parallel to the dc field\), perpendicular = YYXX\. \- Eq\. \(2\)\: chi^e = chi\(3\)\(\-2w; 0, w, w\) \+ \(mu/9kT\) chi\(2\)\(\-2w; w, w\)\: the orientational \(dipolar\) term, temperature dependent, removed for polar molecules by the T^\-1 \-\> 0 limit \(Table II\)\. Eqs\. \(3\)\-\(6\)\: orientational averages; R\(3\) = chi\_par\(3\)/chi\_perp\(3\) = 3 without dispersion \(Eq\. \(12\)\)\. \- Eq\. \(8\)\: S = const x \|chi^e/Delta k\_0\|^2 at the optimum density; ratios to helium\. \- Eq\. \(10\)\: absolute scale chi\_par^e\(He\) = chi\(3\)\(\-2w; 0, w, w\) = 3\.79 x 10^\-39 esu/atom \(Sitz and Yaris, 'thought to be good to 1 %'\); sign from helium's \(positive\) calculated value\. Every value here is therefore a measured ratio to helium times 3\.79 x 10^\-39 esu\. \(Shelton and Rice rescale these to a later helium value\.\) \- chi\_par\(3\) of a gas is the orientational average of the molecular tensor, i\.e\. the isotropic gamma\_T/6 \(for an isotropic medium with R = 3\)\. Uncertainties\: 'The uncertainties listed for Delta k\_0, chi^e, and R^e are standard deviations' \(p\. 828\)\. They do not include the 1 % of the helium calibration\. Part\: ESHG has no rotational part for a nonpolar molecule \(the paper\: chi^e 'do not depend on temperature for these molecules', p\. 828\) and a small vibrational one, not separated\: recorded total\. CO's chi\(3\) is the infinite\-temperature limit, which removes the dipolar orientational term\: recorded electronic\_vibrational\. Other tables \(not datasets\)\: Table I \-Delta k\_0 at Loschmidt density \(cm^\-1, 694\.3 \-\> 347\.2 nm, virial densities\: H2 1\.27 \+\- 0\.01, N2 1\.89 \+\- 0\.02, O2 2\.41 \+\- 0\.02, CO2 3\.36 \+\- 0\.03, SF6 3\.47 \+\- 0\.03\), E\_0, rho\_opt and R^e \(H2 2\.86 \+\- 0\.03, N2 3\.00 \+\- 0\.06, O2 2\.97 \+\- 0\.07, CO2 2\.81 \+\- 0\.06, SF6 2\.97 \+\- 0\.07\); Table II for CO\: T\_0 = 293 K, rho\_opt 1\.05, \-Delta k\_0 = 3\.35 \+\- 0\.03 cm^\-1, lim chi\_par^e = 144 \+\- 4, d chi\_par^e/dT^\-1 = \+11\.6 \+\- 1\.2 x 10^\-36 esu K, R^e\(T\_0\) = 2\.94 \+\- 0\.03 \(chi\_perp not measurable for CO\); Table III R\(3\)\: H2 2\.86 \+\- 0\.03, N2 3\.00 \+\- 0\.06, O2 3\.12 \+\- 0\.07 \(Table I's R^e for O2 is 2\.97 \+\- 0\.07, which for a nonpolar molecule should equal R\(3\)\: one of the two is misprinted, unresolved\), SF6 2\.97 \+\- 0\.07, CO2 2\.81 \+\- 0\.08 \(R^e \+\- 0\.06\), CO 2\.92 \+\- 0\.15 \(derived assuming R\(2\) = 3\.0 \+\- 0\.3\); Table IV\: CO mu = 0\.112 \+\- 0\.005 D, chi\_par\(2\) = \+129 \+\- 14 x 10^\-33 esu/molecule \(second order, not curated here\)\. The \-Delta k\_0 values are linear\-dispersion data for the refractive phase \(phase mismatch at 694\.3/347\.2 nm per Loschmidt density\)\. **Recorded bibliographic identity status:** VALIDATED\_WITH\_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- ward\_1979/chi3\_H2 ~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "chi3_H2", "material": "H2", "file": "H2/ward_1979__chi3_H2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "primary", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "process": "eshg", "convention": "ward_1969", "part": "total", "normalized_to": "He = 3.79e-39 esu (Sitz and Yaris theory)" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, the paper's ESHG chi\_par\(3\)\(\-2w; 0, w, w\) at 694\.3 nm \(ruby\), Ward's convention chi = gamma\_T/6, normalized to helium's 3\.79 x 10^\-39 esu \(Eq\. \(10\)\); \+\- one standard deviation \(p\. 828\)\. Nonpolar\: chi^e = chi\(3\), measured at room temperature \(~20 C\) and the optimum density \(Table I, the same value\); total \(electronic plus the small vibrational ESHG part\)\. ward\_1979/chi3\_N2 ~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "chi3_N2", "material": "N2", "file": "N2/ward_1979__chi3_N2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "primary", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "process": "eshg", "convention": "ward_1969", "part": "total", "normalized_to": "He = 3.79e-39 esu (Sitz and Yaris theory)" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, the paper's ESHG chi\_par\(3\)\(\-2w; 0, w, w\) at 694\.3 nm \(ruby\), Ward's convention chi = gamma\_T/6, normalized to helium's 3\.79 x 10^\-39 esu \(Eq\. \(10\)\); \+\- one standard deviation \(p\. 828\)\. Nonpolar\: chi^e = chi\(3\), measured at room temperature \(~20 C\) and the optimum density \(Table I, the same value\); total \(electronic plus the small vibrational ESHG part\)\. ward\_1979/chi3\_O2 ~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "chi3_O2", "material": "O2", "file": "O2/ward_1979__chi3_O2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "primary", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "process": "eshg", "convention": "ward_1969", "part": "total", "normalized_to": "He = 3.79e-39 esu (Sitz and Yaris theory)" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, the paper's ESHG chi\_par\(3\)\(\-2w; 0, w, w\) at 694\.3 nm \(ruby\), Ward's convention chi = gamma\_T/6, normalized to helium's 3\.79 x 10^\-39 esu \(Eq\. \(10\)\); \+\- one standard deviation \(p\. 828\)\. Nonpolar\: chi^e = chi\(3\), measured at room temperature \(~20 C\) and the optimum density \(Table I, the same value\); total \(electronic plus the small vibrational ESHG part\)\. ward\_1979/chi3\_SF6 ~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "chi3_SF6", "material": "SF6", "file": "SF6/ward_1979__chi3_SF6.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "primary", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "process": "eshg", "convention": "ward_1969", "part": "total", "normalized_to": "He = 3.79e-39 esu (Sitz and Yaris theory)" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, the paper's ESHG chi\_par\(3\)\(\-2w; 0, w, w\) at 694\.3 nm \(ruby\), Ward's convention chi = gamma\_T/6, normalized to helium's 3\.79 x 10^\-39 esu \(Eq\. \(10\)\); \+\- one standard deviation \(p\. 828\)\. Nonpolar\: chi^e = chi\(3\), measured at room temperature \(~20 C\) and the optimum density \(Table I, the same value\); total \(electronic plus the small vibrational ESHG part\)\. ward\_1979/chi3\_CO2 ~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "chi3_CO2", "material": "CO2", "file": "CO2/ward_1979__chi3_CO2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "primary", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "process": "eshg", "convention": "ward_1969", "part": "total", "normalized_to": "He = 3.79e-39 esu (Sitz and Yaris theory)" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, the paper's ESHG chi\_par\(3\)\(\-2w; 0, w, w\) at 694\.3 nm \(ruby\), Ward's convention chi = gamma\_T/6, normalized to helium's 3\.79 x 10^\-39 esu \(Eq\. \(10\)\); \+\- one standard deviation \(p\. 828\)\. Nonpolar\: chi^e = chi\(3\), measured at room temperature \(~20 C\) and the optimum density \(Table I, the same value\); total \(electronic plus the small vibrational ESHG part\)\. ward\_1979/chi3\_CO ~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "chi3_CO", "material": "CO", "file": "CO/ward_1979__chi3_CO.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "primary", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "process": "eshg", "convention": "ward_1969", "part": "electronic_vibrational", "normalized_to": "He = 3.79e-39 esu (Sitz and Yaris theory)" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, the paper's ESHG chi\_par\(3\)\(\-2w; 0, w, w\) at 694\.3 nm \(ruby\), Ward's convention chi = gamma\_T/6, normalized to helium's 3\.79 x 10^\-39 esu \(Eq\. \(10\)\); \+\- one standard deviation \(p\. 828\)\. CO is polar\: the value is the T^\-1 \-\> 0 limit of chi\_par^e \(Table II, 144 \+\- 4\), which removes the \(mu/9kT\) chi\(2\) term of Eq\. \(2\); electronic plus vibrational\. ward\_1979/dcshg\_mayer\_H2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "dcshg_mayer_H2", "material": "H2", "file": "H2/ward_1979__dcshg_mayer_H2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "G. Mayer, C. R. Acad. Sci. B 276, 54 (1968)", "G. Hauchecorne, F. Kerherve and G. Mayer, J. Phys. (Paris) 32, 47 (1971)" ], "parameters": { "process": "eshg", "convention": "ward_1969", "part": "total" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column dcSHG \(note a\)\: other dcSHG data, 'normalized using the dcSHG coefficient for argon from Ref\. 14' \(Finn and Ward, Phys\. Rev\. Lett\. 26, 285 \(1971\)\)\. Reproduced and rescaled; the wavelength is not stated \(recorded at the ruby line\)\. No uncertainty given\. Ward's convention; part total \(as chi3\)\. ward\_1979/dcshg\_mayer\_O2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "dcshg_mayer_O2", "material": "O2", "file": "O2/ward_1979__dcshg_mayer_O2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "G. Mayer, C. R. Acad. Sci. B 276, 54 (1968)", "G. Hauchecorne, F. Kerherve and G. Mayer, J. Phys. (Paris) 32, 47 (1971)" ], "parameters": { "process": "eshg", "convention": "ward_1969", "part": "total" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column dcSHG \(note a\)\: other dcSHG data, 'normalized using the dcSHG coefficient for argon from Ref\. 14' \(Finn and Ward, Phys\. Rev\. Lett\. 26, 285 \(1971\)\)\. Reproduced and rescaled; the wavelength is not stated \(recorded at the ruby line\)\. No uncertainty given\. Ward's convention; part total \(as chi3\)\. ward\_1979/dcshg\_mayer\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "dcshg_mayer_SF6", "material": "SF6", "file": "SF6/ward_1979__dcshg_mayer_SF6.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "G. Mayer, C. R. Acad. Sci. B 276, 54 (1968)", "G. Hauchecorne, F. Kerherve and G. Mayer, J. Phys. (Paris) 32, 47 (1971)" ], "parameters": { "process": "eshg", "convention": "ward_1969", "part": "total" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column dcSHG \(note a\)\: other dcSHG data, 'normalized using the dcSHG coefficient for argon from Ref\. 14' \(Finn and Ward, Phys\. Rev\. Lett\. 26, 285 \(1971\)\)\. Reproduced and rescaled; the wavelength is not stated \(recorded at the ruby line\)\. No uncertainty given\. Ward's convention; part total \(as chi3\)\. ward\_1979/twm\_rado\_N2 ~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "twm_rado_N2", "material": "N2", "file": "N2/ward_1979__twm_rado_N2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "W. G. Rado, Phys. Lett. 11, 123 (1967)" ], "parameters": { "process": "other", "convention": "ward_1969", "part": "unknown" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column TWM \(note b\)\: Rado's three\-wave\-mixing data, 'normalized using the dcSHG coefficient for argon from Ref\. 14'\. Rado's frequencies are not given here \(recorded at the ruby line\); the process is an optical four\-wave mix, not ESHG\: process other\. \(Lehmeier et al\. cite the same work as W\. G\. Rado, Appl\. Phys\. Letters 11 \(1967\) 123\.\) Reproduced and rescaled; no uncertainty; part unknown\. ward\_1979/twm\_rado\_O2 ~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "twm_rado_O2", "material": "O2", "file": "O2/ward_1979__twm_rado_O2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "W. G. Rado, Phys. Lett. 11, 123 (1967)" ], "parameters": { "process": "other", "convention": "ward_1969", "part": "unknown" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column TWM \(note b\)\: Rado's three\-wave\-mixing data, 'normalized using the dcSHG coefficient for argon from Ref\. 14'\. Rado's frequencies are not given here \(recorded at the ruby line\); the process is an optical four\-wave mix, not ESHG\: process other\. \(Lehmeier et al\. cite the same work as W\. G\. Rado, Appl\. Phys\. Letters 11 \(1967\) 123\.\) Reproduced and rescaled; no uncertainty; part unknown\. ward\_1979/twm\_rado\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "twm_rado_SF6", "material": "SF6", "file": "SF6/ward_1979__twm_rado_SF6.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "W. G. Rado, Phys. Lett. 11, 123 (1967)" ], "parameters": { "process": "other", "convention": "ward_1969", "part": "unknown" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column TWM \(note b\)\: Rado's three\-wave\-mixing data, 'normalized using the dcSHG coefficient for argon from Ref\. 14'\. Rado's frequencies are not given here \(recorded at the ruby line\); the process is an optical four\-wave mix, not ESHG\: process other\. \(Lehmeier et al\. cite the same work as W\. G\. Rado, Appl\. Phys\. Letters 11 \(1967\) 123\.\) Reproduced and rescaled; no uncertainty; part unknown\. ward\_1979/twm\_rado\_CO2 ~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "twm_rado_CO2", "material": "CO2", "file": "CO2/ward_1979__twm_rado_CO2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "W. G. Rado, Phys. Lett. 11, 123 (1967)" ], "parameters": { "process": "other", "convention": "ward_1969", "part": "unknown" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column TWM \(note b\)\: Rado's three\-wave\-mixing data, 'normalized using the dcSHG coefficient for argon from Ref\. 14'\. Rado's frequencies are not given here \(recorded at the ruby line\); the process is an optical four\-wave mix, not ESHG\: process other\. \(Lehmeier et al\. cite the same work as W\. G\. Rado, Appl\. Phys\. Letters 11 \(1967\) 123\.\) Reproduced and rescaled; no uncertainty; part unknown\. ward\_1979/twm\_rado\_CO ~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "twm_rado_CO", "material": "CO", "file": "CO/ward_1979__twm_rado_CO.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "W. G. Rado, Phys. Lett. 11, 123 (1967)" ], "parameters": { "process": "other", "convention": "ward_1969", "part": "unknown" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column TWM \(note b\)\: Rado's three\-wave\-mixing data, 'normalized using the dcSHG coefficient for argon from Ref\. 14'\. Rado's frequencies are not given here \(recorded at the ruby line\); the process is an optical four\-wave mix, not ESHG\: process other\. \(Lehmeier et al\. cite the same work as W\. G\. Rado, Appl\. Phys\. Letters 11 \(1967\) 123\.\) Reproduced and rescaled; no uncertainty; part unknown\. ward\_1979/kerr\_buckingham\_orr\_H2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "kerr_buckingham_orr_H2", "material": "H2", "file": "H2/ward_1979__kerr_buckingham_orr_H2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "A. D. Buckingham and B. J. Orr, Proc. R. Soc. (Lond.) A 305, 259 (1968)" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "dc_kerr", "convention": "ward_1969", "part": "unknown" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column Kerr, note d, Buckingham and Orr\: the dc Kerr chi\(\-w; w, 0, 0\) in Ward's convention \(gamma\_T/6\)\. How the orientational \(Langevin\) part was separated for H2, N2 and CO2 is not stated here\: part unknown\. Wavelength recorded at the ruby line unless known\. ward\_1979/kerr\_buckingham\_1970\_N2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "kerr_buckingham_1970_N2", "material": "N2", "file": "N2/ward_1979__kerr_buckingham_1970_N2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "A. D. Buckingham, M. P. Bogaard, D. A. Dunmur, C. P. Hobbs and B. J. Orr, Trans. Faraday Soc. 66, 1548 (1970)" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "dc_kerr", "convention": "ward_1969", "part": "unknown" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column Kerr, note f, Buckingham et al\. 1970 \(Ref\. 15\)\: the dc Kerr chi\(\-w; w, 0, 0\) in Ward's convention \(gamma\_T/6\)\. How the orientational \(Langevin\) part was separated for H2, N2 and CO2 is not stated here\: part unknown\. Wavelength recorded at the ruby line unless known\. ward\_1979/kerr\_buckingham\_1970\_CO2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "kerr_buckingham_1970_CO2", "material": "CO2", "file": "CO2/ward_1979__kerr_buckingham_1970_CO2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "A. D. Buckingham, M. P. Bogaard, D. A. Dunmur, C. P. Hobbs and B. J. Orr, Trans. Faraday Soc. 66, 1548 (1970)" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "dc_kerr", "convention": "ward_1969", "part": "unknown" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column Kerr, note f, Buckingham et al\. 1970 \(Ref\. 15\); 'four times larger than other values' \(p\. 829\), an outlier the paper flags\: the dc Kerr chi\(\-w; w, 0, 0\) in Ward's convention \(gamma\_T/6\)\. How the orientational \(Langevin\) part was separated for H2, N2 and CO2 is not stated here\: part unknown\. Wavelength recorded at the ruby line unless known\. ward\_1979/kerr\_buckingham\_dunmur\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "kerr_buckingham_dunmur_SF6", "material": "SF6", "file": "SF6/ward_1979__kerr_buckingham_dunmur_SF6.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "buckingham_1968" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "dc_kerr", "convention": "ward_1969", "part": "unknown" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column Kerr, note h, Buckingham and Dunmur 1968 \(Ref\. 10\)\: their gamma 1\.2 \+\- 0\.1 x 10^\-36 esu divided by 6 \(= 200 \+\- 17, printed \+\-20\); at 632\.8 nm\: the dc Kerr chi\(\-w; w, 0, 0\) in Ward's convention \(gamma\_T/6\)\. How the orientational \(Langevin\) part was separated for H2, N2 and CO2 is not stated here\: part unknown\. Wavelength recorded at the ruby line unless known\. ward\_1979/thg\_ward\_new\_H2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "thg_ward_new_H2", "material": "H2", "file": "H2/ward_1979__thg_ward_new_H2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "ward_1969" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "thg", "convention": "ward_1969", "part": "total" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column THG \(note c, Ref\. 4 = Ward and New 1969\)\: the same numbers as ward\_1969 chi\_i \(set \(i\), normalized to He = 4\.0\), THG chi\(\-3w; w, w, w\) at 694\.3 nm\. ward\_1979/thg\_ward\_new\_N2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "thg_ward_new_N2", "material": "N2", "file": "N2/ward_1979__thg_ward_new_N2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "ward_1969" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "thg", "convention": "ward_1969", "part": "total" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column THG \(note c, Ref\. 4 = Ward and New 1969\)\: the same numbers as ward\_1969 chi\_i \(set \(i\), normalized to He = 4\.0\), THG chi\(\-3w; w, w, w\) at 694\.3 nm\. ward\_1979/thg\_ward\_new\_CO2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "thg_ward_new_CO2", "material": "CO2", "file": "CO2/ward_1979__thg_ward_new_CO2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "ward_1969" ], "uncertainty": { "column": true, "level": "not stated" }, "parameters": { "process": "thg", "convention": "ward_1969", "part": "total" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column THG \(note c, Ref\. 4 = Ward and New 1969\)\: the same numbers as ward\_1969 chi\_i \(set \(i\), normalized to He = 4\.0\), THG chi\(\-3w; w, w, w\) at 694\.3 nm\. ward\_1979/theory\_mclean\_yoshimine\_H2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "theory_mclean_yoshimine_H2", "material": "H2", "file": "H2/ward_1979__theory_mclean_yoshimine_H2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "A. D. McLean and M. Yoshimine, J. Chem. Phys. 46, 3682 (1967)" ], "parameters": { "process": "static", "convention": "ward_1969", "part": "electronic", "component": "zzzz" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column Theory, note e\: chi\_zzzz\(0; 0, 0, 0\) from McLean and Yoshimine \(Ref\. 16\)\. The molecular zzzz component only \(p\. 829\), not the orientational average, in Ward's convention\. Static, electronic\. ward\_1979/theory\_bartlett\_purvis\_N2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "theory_bartlett_purvis_N2", "material": "N2", "file": "N2/ward_1979__theory_bartlett_purvis_N2.csv", "table": "tbl_d1cb8fd65ca1", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "R. J. Bartlett and G. D. Purvis (private communication)" ], "parameters": { "process": "static", "convention": "ward_1969", "part": "electronic", "component": "zzzz" } } Table III \(p\. 829\), chi\_parallel\(3\) in 10^\-39 esu/molecule, column Theory, note g\: chi\_zzzz\(0; 0, 0, 0\) from Bartlett and Purvis \(Ref\. 17, private communication\), 'preliminary' \(p\. 829\)\. The molecular zzzz component only \(p\. 829\), not the orientational average, in Ward's convention\. Static, electronic\. 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.