hourri_1997 =========== A\. Hourri, J\. M\. St\-Arnaud and T\. K\. Bose, "Dielectric and pressure virial coefficients of imperfect gases\: CO2\-SF6 mixtures", J\. Chem\. Phys\. 106, 1780 \(1997\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1063/1\.473317 `__ **Source kind:** measurement **Recorded technique:** Static dielectric constant of five CO2\-SF6 mixtures at 322\.85 K\: capacitance bridge at 1 kHz \(Andeen\-Hagerling 2500A, 5e\-6 pF\), stainless\-steel gold\-plated cells \(compressibility correction kappa = 2e\-8 MPa^\-1\) in a bath controlled to 10 mK \(Pt thermometer\)\. A\_eps and B\_p from absolute measurements to 1\.4 MPa \(quartz transducer, 0\.01 %, against a 0\.005 % standard\), CM RT/P against CM \(Eq\. 7\); B\_eps and C\_eps from the differential expansion technique of Buckingham, Cole and Sutter \(two cells, Eq\. 8, slope and curvature\)\. Mixtures by weighing, checked by gas chromatography; CO2 and SF6 99\.9 % minimum purity \(pp\. 3\-4\)\. **Materials in structured entries:** CO2, SF6 **Dataset quantities:** molar\_refractivity, refractivity\_virial\_coefficient **Contents:** 5 datasets; 0 formulas. Curation notes -------------- Identity checked against the first page \(pdf page 1 is the publisher's cover; journal pp\. 1780\-1785 = pdf pages 2\-7\)\. Page numbers below are pdf pages\. SCOPE\. The mixtures are not curated species\: only the pure\-gas rows of Table I and the pure\-SF6 B\_eps of the text are recorded\. Table I's pure rows are reprints\: 'The pure components values are from the literature' \(caption, p\. 5\), SF6 A\_eps from Ref\. 4 \(Hosticka and Bose 1974 = hosticka\_1974\), CO2 A\_eps, B\_eps, C\_eps from Ref\. 10 \(Bose and Cole 1970 = bose\_1970\); both originals re\-pointed 2026\-09\-27 \(323\.3 K and 49\.7 degrees C\)\. Their temperatures are not stated here \(the table is 'at 322\.85 K' for this work\); the CO2 B\_eps, 50\.7 \+\- 0\.9, is the Bose and Cole value that achtermann\_1991 reprints at 322\.9 K \(B\_eps\_bose\_cole\_1970\_322\.9\_CO2\)\. THE STATIC QUANTITIES\. CM/rho = A\_eps \+ B\_eps rho \+ C\_eps rho^2 \(Eq\. 1\), the static \(1 kHz\) Clausius\-Mossotti expansion; for these non\-polar gases A\_eps = \(4 pi N\_A/3\) alpha \(Eq\. 4\), the electronic plus vibrational static polarizability \(SF6's vibrational part is large\: about 14 au of 44, hohm\_2013\)\. B\_eps = B\_OR \+ B\_IR \+ B\_R \(Eq\. 10\)\: the orientation part \(from the hexadecapole of SF6\), the vibrational \(infrared\) induction part \(B\_IR = 24\.2 cm^6/mol^2 for SF6, Birnbaum and Bose, Eq\. 13\) and the optical refractivity virial B\_R, so B\_eps is not an optical refractivity virial\. UNCERTAINTY\. 'The uncertainties indicated are three standard deviations from the best least squares fit' \(p\. 4\), for this work's values; the text's B\_eps11 = 65\.14 \+\- 1\.80 is stored as '3 sigma'\. The level of the literature reprints is not stated here\. TEXT VALUES \(pp\. 4\-6\)\. Pure SF6\: 'Our value of B\_eps11 = 65\.14 \+\- 1\.80 cm^6/mol^2, obtained from the intercept, agrees well with the literature values' \(p\. 4; the intercept at X = 0 of the mixtures' B\_eps against the CO2 mole fraction, Eq\. 3\)\: recorded inline \(B\_eps\_SF6\)\. B\_OR\(SF6\) = 18\.24 \+\- 2\.20 = 65\.14 \- 24\.2 \- 22\.7 \(p\. 5\), giving the SF6 hexadecapole moment 10\.75 \+\- 0\.75 e\-42 esu cm^4 \(abstract; Lennard\-Jones \(7\-28\) sigma = 0\.468 nm, eps/k = 439 K; alpha\(SF6\) = 6\.558e\-24 cm^3\)\. Reprinted from Achtermann et al\. 1991 \(Ref\. 28; achtermann\_1991\)\: B\_R = 22\.7 \+\- 0\.5 \(SF6\) and 1\.9 \+\- 0\.2 cm^6/mol^2 \(CO2\), A\_R = 6\.644 \+\- 0\.002 \(CO2\) and 11\.323 \+\- 0\.002 cm^3/mol \(SF6\) \(pp\. 5\-6; not recorded again\)\. Table II\: alpha = 2\.913 \+\- 0\.002 \(CO2, Ref\. 10\) and 6\.558 \+\- 0\.007 e\-24 cm^3 \(SF6, Ref\. 4\), the reprinted A\_eps divided by 4 pi N\_A/3 \(7\.350 \-\> 2\.9135, 16\.543 \-\> 6\.5576, computed 2026\-09\-26\); Lennard\-Jones \(6\-12\) parameters eps/k 218\.8, 225\.36, 222\.06 K and sigma 3\.819, 5\.16, 4\.489 Angstrom \(CO2, SF6, mixed\)\. Not extracted \(mixtures or no quantity\)\: the mixture rows of Table I \(X = 0\.105\-0\.902, A\_eps, B\_eps, C\_eps, B\_p\); B\_eps12 \+ B\_eps21 = 109\.86 \+\- 2\.40 cm^6/mol^2, B\_p12 = \-146\.15 \+\- 6\.33 cm^3/mol \(Kielich\: \-151\.70\), B\_R12 = 6\.57 \+\- 0\.42 \(geometric mean\), B\_IR \(mixture\) = 6\.49, B\_OR = 90\.23 \+\- 3\.29 cm^6/mol^2; the CO2 quadrupole moment \(4\.48 \+\- 0\.30\) e\-26 esu cm^2 and Table III's terms; the pure B\_p \(SF6 \-229\.12, extrapolated from Ref\. 25; CO2 \-102\.37, from Ref\. 24\)\. Hazards of the extraction\: in Table I '±' extracts as '6' and a leading minus as '2' \(e\.g\. '2205\.2260\.24' for \-205\.22 \+\- 0\.24\); fixed in the script for the cells used, checked against the image\. **Recorded bibliographic identity status:** VALIDATED. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- hourri\_1997/A\_eps\_hosticka\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_eps_hosticka_SF6", "material": "SF6", "file": "SF6/hourri_1997__A_eps_hosticka_SF6.csv", "table": "tbl_d52ac5f743cd", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "hosticka_1974" ], "uncertainty": { "column": true, "level": "3 sigma" }, "parameters": { "includes": "electronic + vibrational static polarizability" } } Table I, mole fraction of CO2 0\: A\_eps = 16\.543 \+\- 0\.017 cm^3/mol \(footnote a, Reference 4, Hosticka and Bose 1974 = hosticka\_1974, re\-pointed 2026\-09\-27\)\: the static molar polarization of SF6, electronic plus vibrational; the original's 323\.3 K value, digit for digit \(checked\)\. The '±' extracts as '6' \(structural fix\)\. The original's errors are three standard deviations\: level corrected to '3 sigma'\. hourri\_1997/A\_eps\_bose\_cole\_CO2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_eps_bose_cole_CO2", "material": "CO2", "file": "CO2/hourri_1997__A_eps_bose_cole_CO2.csv", "table": "tbl_d52ac5f743cd", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "bose_1970" ], "uncertainty": { "column": true, "level": "3 sigma" }, "parameters": { "includes": "electronic + vibrational static polarizability" } } Table I, mole fraction of CO2 1\: A\_eps = 7\.350 \+\- 0\.006 cm^3/mol \(footnote c, Reference 10, Bose and Cole 1970 = bose\_1970, re\-pointed 2026\-09\-27\)\: static, electronic plus vibrational; the original's 49\.7 degrees C \(322\.85 K\) value, digit for digit \(checked\)\. The original's errors are three standard deviations\: level corrected to '3 sigma'\. hourri\_1997/B\_eps\_bose\_cole\_CO2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "B_eps_bose_cole_CO2", "material": "CO2", "file": "CO2/hourri_1997__B_eps_bose_cole_CO2.csv", "table": "tbl_d52ac5f743cd", "quantity": "refractivity_virial_coefficient", "unit": "cm6/mol2", "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "bose_1970" ], "uncertainty": { "column": true, "level": "3 sigma" }, "parameters": { "order": 2 } } Table I, pure CO2\: B\_eps = 50\.7 \+\- 0\.9 cm^6/mol^2 \(Reference 10, Bose and Cole 1970 = bose\_1970, re\-pointed 2026\-09\-27; the original prints 50\.7 \+\- 0\.93 at 49\.7 degrees C\)\: the STATIC DIELECTRIC second virial coefficient, dominated by the quadrupole\-induced orientation term, not the optical B\_R \(1\.9 \+\- 0\.2 by achtermann\_1991\)\. The same reprint as achtermann\_1991's B\_eps\_bose\_cole\_1970\_322\.9\_CO2 \(322\.9 K\)\. The original's errors are three standard deviations\: level corrected to '3 sigma'\. hourri\_1997/C\_eps\_bose\_cole\_CO2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "C_eps_bose_cole_CO2", "material": "CO2", "file": "CO2/hourri_1997__C_eps_bose_cole_CO2.csv", "table": "tbl_d52ac5f743cd", "quantity": "refractivity_virial_coefficient", "unit": "cm9/mol3", "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "bose_1970" ], "uncertainty": { "column": true, "level": "3 sigma" }, "parameters": { "order": 3 } } Table I, pure CO2\: C\_eps = \-2515 \+\- 235 cm^9/mol^3 \(Reference 10 = bose\_1970, re\-pointed 2026\-09\-27; its 49\.7 degrees C value, digit for digit; the minus extracts as a leading '2', the '±' as '6'\: structural fix\)\. The static dielectric third virial coefficient\. The original's errors are three standard deviations\: level corrected to '3 sigma'\. hourri\_1997/B\_eps\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "B_eps_SF6", "material": "SF6", "table": "text", "quantity": "refractivity_virial_coefficient", "unit": "cm6/mol2", "abscissa_unit": "nm", "use": "check", "uncertainty": { "column": true, "level": "3 sigma" }, "parameters": { "order": 2, "temperature_k": 322.85 } } 1 inline points in the source record. p\. 4 \(repeated p\. 5\)\: 'Our value of B\_eps11 = 65\.14 \+\- 1\.80 cm^6/mol^2, obtained from the intercept', the pure\-SF6 limit \(X = 0\) of the mixtures' B\_eps against the CO2 mole fraction \(Eq\. 3\), at 322\.85 K\. The STATIC DIELECTRIC second virial coefficient\: B\_eps = B\_OR \+ B\_IR \+ B\_R = 18\.24 \+ 24\.2 \+ 22\.7 by the authors \(p\. 5\); not the optical B\_R\. achtermann\_1991 reprints Hosticka and Bose's 63\.31 \+\- 2\.80 at 323\.3 K\. Three standard deviations \(p\. 4\)\. 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.