cuthbertson_1910b ================= C\. Cuthbertson and M\. Cuthbertson, Proc\. R\. Soc\. London A 83, 149 \(1910\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1098/rspa\.1910\.0001 `__ **Source kind:** measurement **Recorded technique:** Jamin refractometer with 300 c\.c\. of neon purified by H\. E\. Watson; Lowry's silver\-cadmium arc\. The refractive index at the green mercury line from 11 experiments; the dispersion at the Cd red \(6438\), Hg green \(5461\) and Cd blue \(4800\) lines as the mean of nine experiments; at most 200 green bands could be counted \(pp\. 149\-150\)\. Received 24 September 1909\. **Materials in structured entries:** Ar, He, Kr, Ne, Xe **Dataset quantities:** refractivity **Contents:** 1 dataset; 7 formulas. Curation notes -------------- The index at the green line is given 'at 0 degrees C\. and 760 mm' \(p\. 149\)\: 1\.00006716 'or, doubling for comparison with diatomic gases, 1\.0001343'\. The three\-line table and both formulas are for the doubled refractivity 2 \(mu \- 1\)\. The reduction to 0 degrees C and 760 mm is not described \(density convention unknown\)\. Wavelengths are air values rounded to four figures\. Accuracy \(pp\. 149\-150\)\: the 11 absolute experiments 'hardly varied by 1 part in 500'; 'the dispersive powers are so small that the figures cannot be trusted to less than 5 per cent\. for neon'\. The authors remeasured the dispersion with 440 bands \(cuthbertson\_1910, Table II\) 'assuming the previous value of the refraction' \(cuthbertson\_1932, p\. 40\); this dataset is therefore superseded and excluded, and its absolute value lives on as the 5460\.7 A row of cuthbertson\_1910's neon data\. Not extracted\: the Cauchy b values of the three spectral sections \(b x 10^11 = 2\.30, 2\.46, 2\.38; tbl\_c8b682a28331\), which are differences of the three values\. The 'revised' table of Sellmeier formulas \(tbl\_b72bd245eec4, headed 'mu \- 1' but, like the rest, for 2 \(mu \- 1\)\) is recorded as formulas\: the Cuthbertsons' neon, krypton and xenon, Burton's helium and argon, and Cuthbertson and Metcalfe's helium, the Kr and Xe ones revised for the authors' own air dispersion \(b = 5\.8e\-11 instead of Scheel's 5\.67e\-11\)\. All formulas here reproduce with n = V/lambda, V = 3e10 cm/s\. The library record also holds the first page of the next paper in the volume \(air, O2, N2, H2\) as footnotes; it has no values\. **Recorded bibliographic identity status:** VALIDATED\_WITH\_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- cuthbertson\_1910b/experiment\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "experiment_Ne", "material": "Ne", "file": "Ne/cuthbertson_1910b__experiment_Ne.csv", "table": "tbl_9757a187853d", "quantity": "refractivity", "scale": 5e-07, "abscissa_unit": "angstrom", "wavelength_medium": "standard_air", "state": "1atm_0C", "density": "unknown", "use": "excluded", "uncertainty": { "systematic_relative": 0.002, "level": "not stated" } } Doubled \(mu \- 1\) x 10^6 at 6438, 5461, 4800 A \(rows collapsed in the library, split by the script\)\. Superseded by the authors' remeasurement of the dispersion \(cuthbertson\_1910\); the dispersion is uncertain to 5 %\. Formulas -------- cuthbertson\_1910b/ne\_cauchy ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "ne_cauchy", "material": "Ne", "equation": "unnumbered, p. 150", "printed": "mu - 1 = 0.0001332 (1 + 2.38/lambda^2)", "variable": "lambda: air wavelength; b = 2.38 x 10^-11 with lambda in cm (the preceding table gives b x 10^11)", "state": "1atm_0C", "density": "unknown", "range": "480-644 nm", "coefficients": { "a": "0.0001332", "b": "2.38e-11" }, "check": "Gives 133.96, 134.26, 134.58 (x 1e-6, doubled) at the three lines against the printed 134.02, 134.30, 134.63: 0.05 low throughout, the rounding of a. Checked 2026-09-24." } For 2 \(mu \- 1\)\. The power of ten of b is not printed in the formula\. cuthbertson\_1910b/ne\_sellmeier ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "ne_sellmeier", "material": "Ne", "equation": "unnumbered, p. 150; table p. 151", "printed": "mu - 1 = 5.133 x 10^27 / (38517 x 10^27 - n^2)", "variable": "n = V/lambda, frequency in s^-1, lambda the air wavelength in cm, V = 3e10 cm/s", "state": "1atm_0C", "density": "unknown", "range": "480-644 nm", "coefficients": { "C": "5.133e27", "n0_squared": "38517e27" }, "check": "For 2 (mu - 1): 134.02, 134.32, 134.63 (x 1e-6) at the three lines against the printed 134.02, 134.30, 134.63. Checked 2026-09-24." } Quoted halved \(2\.5665e27\) in cuthbertson\_1932, p\. 40\. cuthbertson\_1910b/kr\_revised ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "kr_revised", "material": "Kr", "equation": "table p. 151", "printed": "mu - 1 = 10.945 x 10^27 / (13039 x 10^27 - n^2)", "variable": "n = V/lambda, V = 3e10 cm/s, lambda in cm (air)", "state": "1atm_0C", "density": "unknown", "range": "visible (the authors' earlier krypton measurements)", "coefficients": { "C": "10.945e27", "n0_squared": "13039e27" }, "check": "For 2 (mu - 1): 8.593e-4 at 5461 A (mu - 1 = 4.296e-4). Not checkable further here." } The authors' earlier krypton dispersion \(measured against air\) revised for their own air dispersion; superseded by cuthbertson\_1910 \(kr\_1910\)\. cuthbertson\_1910b/xe\_revised ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "xe_revised", "material": "Xe", "equation": "table p. 151", "printed": "mu - 1 = 12.47 x 10^27 / (9140 x 10^27 - n^2)", "variable": "n = V/lambda, V = 3e10 cm/s, lambda in cm (air)", "state": "1atm_0C", "density": "unknown", "range": "visible", "coefficients": { "C": "12.47e27", "n0_squared": "9140e27" }, "check": "For 2 (mu - 1): 1.4109e-3 at 5461 A (mu - 1 = 7.055e-4), the absolute value of cuthbertson_1910 Table II (14109.8e-7). Checked 2026-09-24." } Revised as for krypton; superseded by cuthbertson\_1910 \(xe\_1910\)\. cuthbertson\_1910b/he\_cuthbertson\_metcalfe ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "he_cuthbertson_metcalfe", "material": "He", "equation": "table p. 151", "printed": "mu - 1 = 2.46 x 10^27 / (35500 x 10^27 - n^2)", "variable": "n = V/lambda, V = 3e10 cm/s, lambda in cm (air)", "state": "1atm_0C", "density": "unknown", "range": "visible", "coefficients": { "C": "2.46e27", "n0_squared": "35500e27" }, "check": "For 2 (mu - 1): 6.989e-5 at 5461 A (mu - 1 = 3.494e-5)." } C\. Cuthbertson and E\. P\. Metcalfe's helium \(Proc\. Roy\. Soc\. A 80, 411 \(1908\)\), revised; superseded by cuthbertson\_1910 and cuthbertson\_1932\. cuthbertson\_1910b/he\_burton ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "he_burton", "material": "He", "equation": "table p. 151", "printed": "mu - 1 = 2.84 x 10^27 / (40900 x 10^27 - n^2)", "variable": "n = V/lambda, V = 3e10 cm/s, lambda in cm (air)", "state": "1atm_0C", "density": "unknown", "range": "Burton's lines", "coefficients": { "C": "2.84e27", "n0_squared": "40900e27" }, "check": "For 2 (mu - 1): 6.995e-5 at 5461 A (mu - 1 = 3.498e-5)." } Burton's helium \(Proc\. Roy\. Soc\. A 80, 390 \(1908\)\) put in this form by the authors; reproduced\. cuthbertson\_1910b/ar\_burton ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "ar_burton", "material": "Ar", "equation": "table p. 151", "printed": "mu - 1 = 9.124 x 10^27 / (16335 x 10^27 - n^2)", "variable": "n = V/lambda, V = 3e10 cm/s, lambda in cm (air)", "state": "1atm_0C", "density": "unknown", "range": "Burton's lines", "coefficients": { "C": "9.124e27", "n0_squared": "16335e27" }, "check": "Same constants as cuthbertson_1910's refit of Burton (burton_refit_ar)." } Burton's argon in this form; reproduced\. 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.