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 · Catalogue · 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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
[
{
"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 review register for the checks and decisions.