hosticka_1974 ============= C\. Hosticka and T\. K\. Bose, "Dielectric and pressure virial coefficients of imperfect gases\: Hexadecapolar system", J\. Chem\. Phys\. 60, 1318 \(1974\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1063/1\.1681197 `__ **Source kind:** measurement **Recorded technique:** Static dielectric constants of SF6 in two three\-terminal capacitance cells \(Sutter and Cole\) with a General Radio 1615A decade transformer bridge; cells in a circulating bath with a proportional controller, temperature to 0\.05 degrees C \(NBS thermometer\), pressure 0\-200 psi on a calibrated quartz Bourdon gauge\. B\_eps and C\_eps from the two\-cell cyclic expansion method \(Eq\. 3\: Delta f\_i = f\_i \- R^\-1 f\_\(i\+2\), R the density ratio after two expansions, fitted linearly in f\_i\); A\_eps and B\_p from measurements at known pressures \(Eq\. 4, second\-order polynomial in P/RT\)\. 323\.3, 348\.3 and 373\.9 K; Matheson research\-grade SF6, minimum purity 99\.8 % \(air and CF4 the main impurities\) \(pp\. 1318\-1319\)\. **Materials in structured entries:** SF6 **Dataset quantities:** molar\_refractivity, polarizability, refractivity\_virial\_coefficient **Contents:** 11 datasets; 0 formulas. Curation notes -------------- Identity checked against the first page \(J\. Chem\. Phys\. 60, 1318 \(1974\), received 3 October 1973\)\. Page numbers are the journal's\: pdf page 1 is the publisher's cover, so p\. = pdf page \+ 1316\. The 'hexadecapolar gas' is SF6 only \(no CF4 in this paper\)\. WHAT THE VALUES ARE \(p\. 1318\)\. \[\(eps \- 1\)/\(eps \+ 2\)\]/d = A\_eps \+ B\_eps d \+ C\_eps d^2 \+ \.\.\. \(Eq\. 1, d the molar density\)\: A\_eps is the static molar polarization, for non\-polar SF6 the static polarizability including its large vibrational \('atomic'\) part \(SF6's A\_eps is 16\.5 cm^3/mol against the optical A\_R of about 11\.3, achtermann\_1991\); B\_eps and C\_eps are the STATIC DIELECTRIC virial coefficients, B\_eps = B\_ind \+ B\_or with the orientation term from dipoles induced by the hexadecapole moment of the partner\. Stored as bose\_1972 does\: molar\_refractivity \(A\_eps\) and refractivity\_virial\_coefficient \(order 2, 3\) at infinite wavelength, use = check, never as optical values\. 'The mean value of the polarizability determined from our A\_eps values is alpha = 6\.560 x 10^\-24 cm^3 for SF6' \(p\. 1319; dataset alpha\_mean\_SF6; the three\-temperature mean A\_eps = 16\.548 gives 6\.5599e\-24 with 3/\(4 pi N\_A\), checked\)\. UNCERTAINTY\: 'The error associated with our coefficients is three times the standard deviation' \(p\. 1319\)\: '3 sigma'\. ERRATUM\. Table I prints the 323\.3 K C\_eps as '6900 \+\- 899' \(image checked\: no minus sign\), where the other temperatures give \-6895 \+\- 541 and \-6883 \+\- 1421 and the literature \(Nelson and Cole, Ref\. 1\) \-6400 at the same 323\.3 K\. C\_eps is found from the slope of Delta f\_i/f\_i^2 against f\_i \(p\. 1319\), and Fig\. 1 shows the three temperatures' lines parallel with one negative slope, so the 323\.3 K C\_eps has the sign of the others\: the minus sign is lost in print\. Corrected to \-6900 by an erratum\. DISCUSSION VALUES \(not extracted; no quantity\)\. From B\_eps against 1/T \(Ref\. 13, the method of bose\_1972\)\: B\_ind = 28\.04 cm^6/mol^2 \('rather crude', p\. 1319\)\. Hexadecapole moment Phi\_eps = \(5\.40 \+\- 0\.70\) x 10^\-41 esu cm^4 from B\_or \(Kielich's Eqs\. 7, 9, Lennard\-Jones eps/k = 155 K, sigma = 5\.46e\-8 cm, alpha = 6\.560e\-24 cm^3\), Phi\_p = \(5\.75 \+\- 0\.30\) x 10^\-41 from B\_p \(Eqs\. 10\-15, Table II; per temperature 5\.93, 5\.73, 5\.88, 5\.71, 5\.80, 5\.58, 5\.64 at 273\.2\-523\.2 K\), against Rosenberg and Birnbaum's far\-infrared value ten times smaller \(pp\. 1320\-1321\)\. hourri\_1997 later gives 10\.75 \+\- 0\.75 x 10^\-42\. PRESSURE VIRIAL COEFFICIENTS \(equation\-of\-state quantities, not extracted\)\. Table I B\_p \(cm^3/mol\), this work\: \-218\.80 \+\- 1\.12 \(323\.3 K\), \-198\.71 \+\- 3\.52 \(348\.3\), \-156\.40 \+\- 0\.92 \(373\.9\); literature \-236\.4 and \-232\.4 \[7\], \-243\.3 \[1\], \-216\.9 \[9, 10\] at 323\.3 K; \-198\.6, \-195\.6 \[7\], \-191 \[8\] at 348\.2 K; \-162\.8 \[7\], \-159\.2 \[9, 10\] at 373\.2 K\. Table II lists this work's 323\.3 K value as \-218\.72 at 323\.2 K \(Table I\: \-218\.80 at 323\.3 K; a small inconsistency between the two tables, not resolved\), and B\_p of Refs\. 7, 9, 10 at 273\.2\-523\.2 K\. LITERATURE ROW \(reproduced\)\: Ref\. 1 = R\. Nelson and R\. H\. Cole, J\. Chem\. Phys\. 54, 4033 \(1971\), at 323\.3 K\: A\_eps 16\.478, B\_eps 64\.1, C\_eps \-6400 \(no errors printed\); 'The dielectric virial coefficient determined by Nelson and Cole at 50 degrees C agrees extremely well with ours' \(p\. 1321\)\. Not in the library\. REPRODUCTIONS ELSEWHERE \(re\-pointed 2026\-09\-27\)\: achtermann\_1991's B\_eps of SF6 at 323\.3, 348\.3 and 373\.9 K \(63\.31 \+\- 2\.80 and 60\.54 \+\- 1\.45 digit for digit; at 373\.9 K achtermann\_1991 prints 58\.84 \+\- 4\.70 where this paper prints 58\.89 \+\- 4\.70\: a transcription difference in the reprint\), hourri\_1997's A\_eps \(16\.543 \+\- 0\.017\), st\_arnaud\_1979's A\_eps \(16\.543 \+\- 0\.017, listed there at 298 K although it is the 323\.3 K value\) and B\_eps \(63\.3 \+\- 2\.8 at 323 K, rounded\)\. hohm\_2013's SF6 dielectric mean cites this paper \(its Ref\. \[228\]\)\. **Recorded bibliographic identity status:** VALIDATED\_WITH\_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- hosticka\_1974/A\_eps\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_eps_SF6", "material": "SF6", "file": "SF6/hosticka_1974__A_eps_SF6.csv", "table": "tbl_23fb0fd23746", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "use": "check", "uncertainty": { "column": true, "level": "3 sigma" }, "parameters": { "includes": "electronic + vibrational static polarizability (row = temperature, K)" } } Table I \(p\. 1319\), this work\: A\_eps of SF6 at 323\.3, 348\.3 and 373\.9 K \(rows = temperature in K\)\: the static molar polarization, electronic plus vibrational polarizability\. No temperature dependence beyond the errors \(16\.543 \+\- 0\.017, 16\.523 \+\- 0\.078, 16\.577 \+\- 0\.013\)\. hosticka\_1974/alpha\_mean\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "alpha_mean_SF6", "material": "SF6", "table": "text", "quantity": "polarizability", "unit": "cm3", "scale": 1e-24, "abscissa_unit": "nm", "use": "check" } 1 inline points in the source record. p\. 1319\: 'The mean value of the polarizability determined from our A\_eps values is alpha = 6\.560 x 10^\-24 cm^3 for SF6'\: the static polarizability volume \(electronic plus vibrational\), the mean of A\_eps\_SF6's three values converted with 3/\(4 pi N\_A\) \(6\.5599e\-24, checked\)\. Not independent of A\_eps\_SF6\. No uncertainty printed\. hosticka\_1974/B\_eps\_323\.3\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "B_eps_323.3_SF6", "material": "SF6", "file": "SF6/hosticka_1974__B_eps_323.3_SF6.csv", "table": "tbl_23fb0fd23746", "quantity": "refractivity_virial_coefficient", "unit": "cm6/mol2", "abscissa_unit": "nm", "use": "check", "uncertainty": { "column": true, "level": "3 sigma" }, "parameters": { "order": 2, "temperature_k": 323.3 } } Table I, this work\: B\_eps = 63\.31 \+\- 2\.80 cm^6/mol^2 at 323\.3 K, the STATIC DIELECTRIC second virial coefficient \(B\_ind \+ B\_or, the hexadecapole\-induced orientation term included\); not the optical B\_R \(22\.7 \+\- 0\.5, achtermann\_1991\)\. A check only\. hosticka\_1974/B\_eps\_348\.3\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "B_eps_348.3_SF6", "material": "SF6", "file": "SF6/hosticka_1974__B_eps_348.3_SF6.csv", "table": "tbl_23fb0fd23746", "quantity": "refractivity_virial_coefficient", "unit": "cm6/mol2", "abscissa_unit": "nm", "use": "check", "uncertainty": { "column": true, "level": "3 sigma" }, "parameters": { "order": 2, "temperature_k": 348.3 } } Table I, this work\: B\_eps = 60\.54 \+\- 1\.45 cm^6/mol^2 at 348\.3 K, static dielectric, as B\_eps\_323\.3\_SF6\. hosticka\_1974/B\_eps\_373\.9\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "B_eps_373.9_SF6", "material": "SF6", "file": "SF6/hosticka_1974__B_eps_373.9_SF6.csv", "table": "tbl_23fb0fd23746", "quantity": "refractivity_virial_coefficient", "unit": "cm6/mol2", "abscissa_unit": "nm", "use": "check", "uncertainty": { "column": true, "level": "3 sigma" }, "parameters": { "order": 2, "temperature_k": 373.9 } } Table I, this work\: B\_eps = 58\.89 \+\- 4\.70 cm^6/mol^2 at 373\.9 K, static dielectric, as B\_eps\_323\.3\_SF6 \(achtermann\_1991 reprints it as 58\.84\)\. hosticka\_1974/C\_eps\_323\.3\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "C_eps_323.3_SF6", "material": "SF6", "file": "SF6/hosticka_1974__C_eps_323.3_SF6.csv", "table": "tbl_23fb0fd23746", "quantity": "refractivity_virial_coefficient", "unit": "cm9/mol3", "abscissa_unit": "nm", "use": "check", "uncertainty": { "column": true, "level": "3 sigma" }, "parameters": { "order": 3, "temperature_k": 323.3 } } Table I, this work\: C\_eps at 323\.3 K, printed '6900 \+\- 899' without its minus sign and corrected to \-6900 by an erratum \(see the record's notes\)\: the static dielectric third virial coefficient from the slope of Eq\. \(3\)\. hosticka\_1974/C\_eps\_348\.3\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "C_eps_348.3_SF6", "material": "SF6", "file": "SF6/hosticka_1974__C_eps_348.3_SF6.csv", "table": "tbl_23fb0fd23746", "quantity": "refractivity_virial_coefficient", "unit": "cm9/mol3", "abscissa_unit": "nm", "use": "check", "uncertainty": { "column": true, "level": "3 sigma" }, "parameters": { "order": 3, "temperature_k": 348.3 } } Table I, this work\: C\_eps = \-6895 \+\- 541 cm^9/mol^3 at 348\.3 K, static dielectric\. hosticka\_1974/C\_eps\_373\.9\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "C_eps_373.9_SF6", "material": "SF6", "file": "SF6/hosticka_1974__C_eps_373.9_SF6.csv", "table": "tbl_23fb0fd23746", "quantity": "refractivity_virial_coefficient", "unit": "cm9/mol3", "abscissa_unit": "nm", "use": "check", "uncertainty": { "column": true, "level": "3 sigma" }, "parameters": { "order": 3, "temperature_k": 373.9 } } Table I, this work\: C\_eps = \-6883 \+\- 1421 cm^9/mol^3 at 373\.9 K, static dielectric\. hosticka\_1974/A\_eps\_nelson\_1971\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_eps_nelson_1971_SF6", "material": "SF6", "file": "SF6/hosticka_1974__A_eps_nelson_1971_SF6.csv", "table": "tbl_23fb0fd23746", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "R. Nelson and R. H. Cole, J. Chem. Phys. 54, 4033 (1971)" ], "parameters": { "temperature_k": 323.3 } } Table I, 'Literature' at 323\.3 K, footnote a \(Ref\. 1\)\: A\_eps = 16\.478 cm^3/mol, no error printed\. hosticka\_1974/B\_eps\_nelson\_1971\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "B_eps_nelson_1971_SF6", "material": "SF6", "file": "SF6/hosticka_1974__B_eps_nelson_1971_SF6.csv", "table": "tbl_23fb0fd23746", "quantity": "refractivity_virial_coefficient", "unit": "cm6/mol2", "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "R. Nelson and R. H. Cole, J. Chem. Phys. 54, 4033 (1971)" ], "parameters": { "order": 2, "temperature_k": 323.3 } } Table I, 'Literature' at 323\.3 K \(Ref\. 1\)\: B\_eps = 64\.1 cm^6/mol^2, static dielectric, no error printed\. hosticka\_1974/C\_eps\_nelson\_1971\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "C_eps_nelson_1971_SF6", "material": "SF6", "file": "SF6/hosticka_1974__C_eps_nelson_1971_SF6.csv", "table": "tbl_23fb0fd23746", "quantity": "refractivity_virial_coefficient", "unit": "cm9/mol3", "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "R. Nelson and R. H. Cole, J. Chem. Phys. 54, 4033 (1971)" ], "parameters": { "order": 3, "temperature_k": 323.3 } } Table I, 'Literature' at 323\.3 K \(Ref\. 1\)\: C\_eps = \-6400 cm^9/mol^3, static dielectric, no error printed\. Formulas -------- No formulas are recorded. Corrections ----------- .. code-block:: text [ { "dataset": "C_eps_323.3_SF6", "row": "323.3", "column": "value", "printed": "6900", "corrected": "-6900", "reason": "The minus sign is missing in print. C_eps is the slope term of Delta f_i/f_i^2 against f_i (Eq. 3, p. 1319); Fig. 1 shows the 323.3, 348.3 and 373.9 K lines parallel, with one negative slope, and the other two temperatures give -6895 +- 541 and -6883 +- 1421 while Nelson and Cole's value at the same 323.3 K is -6400 (Table I).", "evidence": "Table I image (tbl_23fb0fd23746.jpg) prints '6900 +- 899' (not a mis-extraction); Fig. 1 (fig_400cfd00fc15) and the table's other C_eps values (checked 2026-09-27)." } ] 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.