borzsonyi_2008#

A. Borzsonyi, Z. Heiner, M. P. Kalashnikov, A. P. Kovacs and K. Osvay, Appl. Opt. 47, 4856 (2008)

Source record · Catalogue · Review register

Source kind: measurement

Recorded technique: Spectrally and spatially resolved interferometry (Mach-Zehnder plus imaging spectrograph) with a Ti:sapphire oscillator (peak 767 nm, 115 nm wide at the 10 % level); the sample arm is a 4.5 m tube, double-passed (geometrical propagation length 9.110 +- 0.003 m, p. 4). Gas pressure set at 18 points from 1 bar to 0.05 mbar (capacitance gauges), ‘pressure up’ and ‘pressure down’ series; nine interferograms per pressure, the extremes dropped and seven averaged (p. 4). Laboratory at 19.7 +- 1 degrees C, stable to 0.2 degrees C within a series. Purity 99.999 % (Xe 99.996 %).

Materials in structured entries: Ar, He, Kr, N2, Ne, Xe

Dataset quantities: group_delay, group_delay_dispersion, third_order_dispersion

Contents: 18 datasets; 6 formulas.

Curation notes#

The phase derivatives are measured relative to the lowest pressure: linear fits in pressure of GD, GDD and TOD are assumed to vanish at 0.05 mbar (p. 5), and Table 1 gives the specific (per metre) values ‘deducted for 1000 mbar’ (p. 5) at 800 nm (omega0 = 2.35 fs^-1, a vacuum wavelength) and at the laboratory temperature of each measurement (Table 1, 19.4-20.8 degrees C, +-0.2). Table 1’s caption says ‘800 nm, 1000 mbars, and 20 degrees C’; the per-gas temperature column is used as the state. No reduction to another state is made, so the values refer to the real gas at that state (density = real); the paper’s own theory (Eqs. 6-11) takes Z = 1. The stated errors are not defined for the table; each measured point’s error is ‘the standard deviation of these seven points from their averaged value’ (p. 4). The paper claims SGD to 1 part in 1000 and SGDD to 1 in 400 (p. 5).

The SGD column is kept as a check, not fitted: every gas’s SGD lies 22-39 fs/m above what its refractivity implies (the paper’s own Sellmeier fits give, at the measured state, He 107.5 against 146.0 printed, Ne 207.1 / 241.7, N2 925.8 / 947.4, Ar 870.0 / 895.2, Kr 1334.5 / 1366.2, Xe 2198 / 2225.4 fs/m, the Xe fit with its C1 corrected, see the formula). For helium the refractivity is known to 0.1 % and implies about 108 fs/m, so the 146.0 +- 1.0 printed cannot be the excess group delay of helium; a common additive offset of about +30 fs/m (a 9 um path error over 9.11 m, or the air term SGD_air * dL of Eq. 5) is the likeliest cause, but the paper gives no way to check it. The SGDD column is kept as a validator (use = check; 2026-09-24, TC-45), because it too disagrees with the precise interferometric dispersion of the literature: Peck & Khanna’s N2 formula (peck_1966, Eq. 3, scaled to 1000 mbar and 19.4 C) gives SGDD = 19.84 fs^2/m at 800 nm against 18.04 +- 0.15 printed (9 % low), and Peck & Fisher’s Ar formula (20.8 C) 18.38 against 17.98 +- 0.11 (2 % low); their shapes are known to about 1e-4 in n - 1. Whether these SGDD values enter fits should be decided at review. STOD is only an upper limit (p. 5) and kept as a check.

The Lorentz-Lorenz constants of Table 1 (m^3/kg, ‘This Work’ and ‘Calc. from Literature’) are not extracted: the paper does not say how they were obtained from the group-delay data, and a check with the known refractivities (2/3 (n - 1)/rho at 20 degrees C, 1000 mbar) reproduces the noble-gas values within 1-4 % but not nitrogen’s (1.47 against 1.627), so their definition is unclear. Air (Table 1 and Table 2) is not a curated species and is skipped. The gas-mixture results (Fig. 4) are figures only.

The Sellmeier fits (Table 2, Eq. 14) are formulas below. They were fitted to only ‘three refractive indices from the literature’ per gas (Leonard 1974 for the noble gases, Peck & Khanna 1966 for N2, CRC for air; refs. 18, 23, 42) ‘and the SGDD taken from our measurements’ (p. 7): they are not independent refractivity data, and the visible/UV behaviour is that of the three literature points. The printed xenon coefficient C1 is wrong by a factor 1000 (see the formula).

Recorded bibliographic identity status: VALIDATED_WITH_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents.

Datasets#

borzsonyi_2008/sgd_N2#

{
  "id": "sgd_N2",
  "material": "N2",
  "file": "N2/borzsonyi_2008__sgd_N2.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "group_delay",
  "unit": "fs/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.4
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "excess_over_vacuum": true,
    "path_length_m": 9.11
  }
}

Excess over vacuum: the printed SGD is (n_g - 1)/c, the vacuum 1/c (3335.64 fs/m) removed (parameters.excess_over_vacuum). Not fitted: see the source notes (an offset of about +30 fs/m against the known refractivities). Temperature: the table’s ‘Temperature of Meas.’ for this gas, +-0.2 degrees C.

borzsonyi_2008/sgdd_N2#

{
  "id": "sgdd_N2",
  "material": "N2",
  "file": "N2/borzsonyi_2008__sgdd_N2.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "group_delay_dispersion",
  "unit": "fs2/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.4
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "path_length_m": 9.11
  }
}

Temperature: the table’s ‘Temperature of Meas.’ for this gas, +-0.2 degrees C.

borzsonyi_2008/stod_N2#

{
  "id": "stod_N2",
  "material": "N2",
  "file": "N2/borzsonyi_2008__stod_N2.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "third_order_dispersion",
  "unit": "fs3/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.4
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "path_length_m": 9.11
  }
}

‘All of them were around the magnitude of the achievable accuracy, so that only an upper limit for STOD could be determined’ (p. 5): kept as a check, not fitted.

borzsonyi_2008/sgd_He#

{
  "id": "sgd_He",
  "material": "He",
  "file": "He/borzsonyi_2008__sgd_He.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "group_delay",
  "unit": "fs/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.5
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "excess_over_vacuum": true,
    "path_length_m": 9.11
  }
}

borzsonyi_2008/sgdd_He#

{
  "id": "sgdd_He",
  "material": "He",
  "file": "He/borzsonyi_2008__sgdd_He.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "group_delay_dispersion",
  "unit": "fs2/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.5
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "path_length_m": 9.11
  }
}

Temperature: the table’s ‘Temperature of Meas.’ for this gas, +-0.2 degrees C.

borzsonyi_2008/stod_He#

{
  "id": "stod_He",
  "material": "He",
  "file": "He/borzsonyi_2008__stod_He.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "third_order_dispersion",
  "unit": "fs3/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.5
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "path_length_m": 9.11
  }
}

‘All of them were around the magnitude of the achievable accuracy, so that only an upper limit for STOD could be determined’ (p. 5): kept as a check, not fitted.

borzsonyi_2008/sgd_Ne#

{
  "id": "sgd_Ne",
  "material": "Ne",
  "file": "Ne/borzsonyi_2008__sgd_Ne.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "group_delay",
  "unit": "fs/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.7
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "excess_over_vacuum": true,
    "path_length_m": 9.11
  }
}

borzsonyi_2008/sgdd_Ne#

{
  "id": "sgdd_Ne",
  "material": "Ne",
  "file": "Ne/borzsonyi_2008__sgdd_Ne.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "group_delay_dispersion",
  "unit": "fs2/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.7
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "path_length_m": 9.11
  }
}

Temperature: the table’s ‘Temperature of Meas.’ for this gas, +-0.2 degrees C.

borzsonyi_2008/stod_Ne#

{
  "id": "stod_Ne",
  "material": "Ne",
  "file": "Ne/borzsonyi_2008__stod_Ne.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "third_order_dispersion",
  "unit": "fs3/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.7
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "path_length_m": 9.11
  }
}

‘All of them were around the magnitude of the achievable accuracy, so that only an upper limit for STOD could be determined’ (p. 5): kept as a check, not fitted.

borzsonyi_2008/sgd_Ar#

{
  "id": "sgd_Ar",
  "material": "Ar",
  "file": "Ar/borzsonyi_2008__sgd_Ar.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "group_delay",
  "unit": "fs/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 20.8
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "excess_over_vacuum": true,
    "path_length_m": 9.11
  }
}

borzsonyi_2008/sgdd_Ar#

{
  "id": "sgdd_Ar",
  "material": "Ar",
  "file": "Ar/borzsonyi_2008__sgdd_Ar.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "group_delay_dispersion",
  "unit": "fs2/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 20.8
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "path_length_m": 9.11
  }
}

Temperature: the table’s ‘Temperature of Meas.’ for this gas, +-0.2 degrees C.

borzsonyi_2008/stod_Ar#

{
  "id": "stod_Ar",
  "material": "Ar",
  "file": "Ar/borzsonyi_2008__stod_Ar.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "third_order_dispersion",
  "unit": "fs3/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 20.8
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "path_length_m": 9.11
  }
}

‘All of them were around the magnitude of the achievable accuracy, so that only an upper limit for STOD could be determined’ (p. 5): kept as a check, not fitted.

borzsonyi_2008/sgd_Kr#

{
  "id": "sgd_Kr",
  "material": "Kr",
  "file": "Kr/borzsonyi_2008__sgd_Kr.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "group_delay",
  "unit": "fs/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.7
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "excess_over_vacuum": true,
    "path_length_m": 9.11
  }
}

borzsonyi_2008/sgdd_Kr#

{
  "id": "sgdd_Kr",
  "material": "Kr",
  "file": "Kr/borzsonyi_2008__sgdd_Kr.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "group_delay_dispersion",
  "unit": "fs2/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.7
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "path_length_m": 9.11
  }
}

Temperature: the table’s ‘Temperature of Meas.’ for this gas, +-0.2 degrees C.

borzsonyi_2008/stod_Kr#

{
  "id": "stod_Kr",
  "material": "Kr",
  "file": "Kr/borzsonyi_2008__stod_Kr.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "third_order_dispersion",
  "unit": "fs3/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.7
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "path_length_m": 9.11
  }
}

‘All of them were around the magnitude of the achievable accuracy, so that only an upper limit for STOD could be determined’ (p. 5): kept as a check, not fitted.

borzsonyi_2008/sgd_Xe#

{
  "id": "sgd_Xe",
  "material": "Xe",
  "file": "Xe/borzsonyi_2008__sgd_Xe.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "group_delay",
  "unit": "fs/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.9
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "excess_over_vacuum": true,
    "path_length_m": 9.11
  }
}

borzsonyi_2008/sgdd_Xe#

{
  "id": "sgdd_Xe",
  "material": "Xe",
  "file": "Xe/borzsonyi_2008__sgdd_Xe.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "group_delay_dispersion",
  "unit": "fs2/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.9
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "path_length_m": 9.11
  }
}

Temperature: the table’s ‘Temperature of Meas.’ for this gas, +-0.2 degrees C.

borzsonyi_2008/stod_Xe#

{
  "id": "stod_Xe",
  "material": "Xe",
  "file": "Xe/borzsonyi_2008__stod_Xe.csv",
  "table": "tbl_15ed1378c327",
  "quantity": "third_order_dispersion",
  "unit": "fs3/m",
  "abscissa_unit": "nm",
  "wavelength_medium": "vacuum",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 19.9
  },
  "density": "real",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "path_length_m": 9.11
  }
}

‘All of them were around the magnitude of the achievable accuracy, so that only an upper limit for STOD could be determined’ (p. 5): kept as a check, not fitted.

Formulas#

borzsonyi_2008/sellmeier_N2#

{
  "id": "sellmeier_N2",
  "form": "n2_sellmeier",
  "terms": {
    "B": [
      "39209.95e-8",
      "18806.48e-8"
    ],
    "C": [
      "1146.24e-6",
      "13.476e-3"
    ]
  },
  "range_nm": [
    400.0,
    1000.0
  ],
  "material": "N2",
  "equation": "Eq. (14), p. 7, with Table 2 (tbl_8d505c3d8e77)",
  "printed": "n^2(lambda, p, T) - 1 = (p/p0) (T0/T) [B1 lambda^2/(lambda^2 - C1) + B2 lambda^2/(lambda^2 - C2)]; B1 x 10^8 = 39209.95, C1 x 10^6 = 1146.24, B2 x 10^8 = 18806.48, C2 x 10^3 = 13.476",
  "variable": "lambda: vacuum wavelength in um",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 0.0
  },
  "density": "ideal",
  "range": "fitted to three literature n values in the visible (Peck & Khanna 1966) and the SGDD at 800 nm; compared with the literature over 400-1000 nm (Fig. 5)",
  "coefficients": {
    "B1": "39209.95e-8",
    "C1": "1146.24e-6",
    "B2": "18806.48e-8",
    "C2": "13.476e-3"
  },
  "check": "At 546.2258 nm, 0 degrees C, 1013.25 mbar: n - 1 = 299.15e-6 (Peck & Khanna: 299.14e-6). At 800 nm, 1000 mbar, 19.4 degrees C: SGDD 19.67 fs^2/m against 18.04 +- 0.15 measured (9 % high), SGD 925.8 against 947.4 fs/m, STOD 4.9 against 10 +- 10 fs^3/m (checked 2026-09-24)."
}

Pressure and temperature enter as the ideal-gas density ratio (p/p0)(T0/T) on n^2 - 1 (derived from Eq. 6 with Z = 1). T0 is ‘273 K’ in the text (p. 7) and ‘0 degrees C’ in Table 2’s caption; the difference is 0.05 %. Table 2’s ‘Std. Dev.’ of the literature n from the fit: 5.46e-8.

borzsonyi_2008/sellmeier_He#

{
  "id": "sellmeier_He",
  "form": "n2_sellmeier",
  "terms": {
    "B": [
      "4977.77e-8",
      "1856.94e-8"
    ],
    "C": [
      "28.54e-6",
      "7.760e-3"
    ]
  },
  "range_nm": [
    400.0,
    1000.0
  ],
  "material": "He",
  "equation": "Eq. (14), p. 7, with Table 2 (tbl_8d505c3d8e77)",
  "printed": "as sellmeier_N2; B1 x 10^8 = 4977.77, C1 x 10^6 = 28.54, B2 x 10^8 = 1856.94, C2 x 10^3 = 7.760",
  "variable": "lambda: vacuum wavelength in um",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 0.0
  },
  "density": "ideal",
  "range": "fitted to three literature n values (Leonard 1974) and the SGDD at 800 nm; compared over 400-1000 nm (Fig. 5)",
  "coefficients": {
    "B1": "4977.77e-8",
    "C1": "28.54e-6",
    "B2": "1856.94e-8",
    "C2": "7.760e-3"
  },
  "check": "At 546.2258 nm, 0 degrees C, 1013.25 mbar: n - 1 = 34.88e-6 (Leonard's Table I values 34.887-34.950). At 800 nm, 1000 mbar, 19.5 degrees C: SGDD 0.94 against 0.82 +- 0.13, SGD 107.5 against 146.0 fs/m printed (checked 2026-09-24)."
}

Table 2 ‘Std. Dev.’: 1.46e-8.

borzsonyi_2008/sellmeier_Ne#

{
  "id": "sellmeier_Ne",
  "form": "n2_sellmeier",
  "terms": {
    "B": [
      "9154.48e-8",
      "4018.63e-8"
    ],
    "C": [
      "656.97e-6",
      "5.728e-3"
    ]
  },
  "range_nm": [
    400.0,
    1000.0
  ],
  "material": "Ne",
  "equation": "Eq. (14), p. 7, with Table 2 (tbl_8d505c3d8e77)",
  "printed": "as sellmeier_N2; B1 x 10^8 = 9154.48, C1 x 10^6 = 656.97, B2 x 10^8 = 4018.63, C2 x 10^3 = 5.728",
  "variable": "lambda: vacuum wavelength in um",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 0.0
  },
  "density": "ideal",
  "range": "fitted to three literature n values (Leonard 1974) and the SGDD at 800 nm; compared over 400-1000 nm (Fig. 5)",
  "coefficients": {
    "B1": "9154.48e-8",
    "C1": "656.97e-6",
    "B2": "4018.63e-8",
    "C2": "5.728e-3"
  },
  "check": "At 546.2258 nm, 0 degrees C, 1013.25 mbar: n - 1 = 67.24e-6 (Leonard: 67.236-67.246). At 800 nm, 1000 mbar, 19.7 degrees C: SGDD 1.84 against 2.11 +- 0.10, SGD 207.1 against 241.7 fs/m (checked 2026-09-24)."
}

Table 2 ‘Std. Dev.’: 0.41e-8.

borzsonyi_2008/sellmeier_Ar#

{
  "id": "sellmeier_Ar",
  "form": "n2_sellmeier",
  "terms": {
    "B": [
      "20332.29e-8",
      "34458.31e-8"
    ],
    "C": [
      "206.12e-6",
      "8.066e-3"
    ]
  },
  "range_nm": [
    400.0,
    1000.0
  ],
  "material": "Ar",
  "equation": "Eq. (14), p. 7, with Table 2 (tbl_8d505c3d8e77)",
  "printed": "as sellmeier_N2; B1 x 10^8 = 20332.29, C1 x 10^6 = 206.12, B2 x 10^8 = 34458.31, C2 x 10^3 = 8.066",
  "variable": "lambda: vacuum wavelength in um",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 0.0
  },
  "density": "ideal",
  "range": "fitted to three literature n values (Leonard 1974) and the SGDD at 800 nm; compared over 400-1000 nm (Fig. 5)",
  "coefficients": {
    "B1": "20332.29e-8",
    "C1": "206.12e-6",
    "B2": "34458.31e-8",
    "C2": "8.066e-3"
  },
  "check": "At 546.2258 nm, 0 degrees C, 1013.25 mbar: n - 1 = 282.46e-6 (Leonard: 282.4655). At 800 nm, 1000 mbar, 20.8 degrees C: SGDD 18.14 against 17.98 +- 0.11, SGD 870.0 against 895.2 fs/m, STOD 5.9 against 12 +- 14 (checked 2026-09-24)."
}

Table 2 ‘Std. Dev.’: 5.92e-8.

borzsonyi_2008/sellmeier_Kr#

{
  "id": "sellmeier_Kr",
  "form": "n2_sellmeier",
  "terms": {
    "B": [
      "26102.88e-8",
      "56946.82e-8"
    ],
    "C": [
      "2.01e-6",
      "10.043e-3"
    ]
  },
  "range_nm": [
    400.0,
    1000.0
  ],
  "material": "Kr",
  "equation": "Eq. (14), p. 7, with Table 2 (tbl_8d505c3d8e77)",
  "printed": "as sellmeier_N2; B1 x 10^8 = 26102.88, C1 x 10^6 = 2.01, B2 x 10^8 = 56946.82, C2 x 10^3 = 10.043",
  "variable": "lambda: vacuum wavelength in um",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 0.0
  },
  "density": "ideal",
  "range": "fitted to three literature n values (Leonard 1974) and the SGDD at 800 nm; compared over 400-1000 nm (Fig. 5)",
  "coefficients": {
    "B1": "26102.88e-8",
    "C1": "2.01e-6",
    "B2": "56946.82e-8",
    "C2": "10.043e-3"
  },
  "check": "At 546.2258 nm, 0 degrees C, 1013.25 mbar: n - 1 = 430.71e-6 (Leonard's average 430.84). At 800 nm, 1000 mbar, 19.7 degrees C: SGDD 37.33 against 37.32 +- 0.13, SGD 1334.5 against 1366.2 fs/m, STOD 14 against 20 +- 10 (checked 2026-09-24)."
}

Table 2 ‘Std. Dev.’: 21.67e-8. C1 = 2.01e-6 um^2 puts the first pole at 1.4 nm: the first term is in effect a constant.

borzsonyi_2008/sellmeier_Xe#

{
  "id": "sellmeier_Xe",
  "form": "n2_sellmeier",
  "terms": {
    "B": [
      "103701.61e-8",
      "31228.61e-8"
    ],
    "C": [
      "12.75e-6",
      "0.561e-3"
    ]
  },
  "range_nm": [
    400.0,
    1000.0
  ],
  "material": "Xe",
  "equation": "Eq. (14), p. 7, with Table 2 (tbl_8d505c3d8e77)",
  "printed": "as sellmeier_N2; B1 x 10^8 = 103701.61, C1 x 10^6 = 12.75, B2 x 10^8 = 31228.61, C2 x 10^3 = 0.561",
  "variable": "lambda: vacuum wavelength in um",
  "state": {
    "pressure_pa": 100000.0,
    "temperature_c": 0.0
  },
  "density": "ideal",
  "range": "fitted to three literature n values (Leonard 1974) and the SGDD at 800 nm; compared over 400-1000 nm (Fig. 5)",
  "coefficients": {
    "B1": "103701.61e-8",
    "C1": "12.75e-6",
    "B2": "31228.61e-8",
    "C2": "0.561e-3"
  },
  "check": "As printed the formula fails: at 546.2258 nm, 0 degrees C, 1013.25 mbar n - 1 = 683.7e-6 against Leonard's 706.60 (-3.2 %), and at 800 nm, 1000 mbar, 19.9 degrees C SGDD = 1.17 against 87.42 +- 0.17 fs^2/m measured: with both poles below 24 nm the formula has almost no dispersion. With C1 = 12.75e-3 um^2 (the column factor 10^3, not 10^6): n - 1 = 707.09e-6 at 546.2258 nm (+0.07 % from Leonard), SGDD 88.54, SGD 2197.8 (2225.4 printed), STOD 42.6 (40 +- 12) (checked 2026-09-24; STOD corrected at the second read, 2026-09-25).",
  "corrections": [
    {
      "term": "C",
      "index": 0,
      "printed": "12.75e-6",
      "corrected": "12.75e-3",
      "reason": "Table 2's column factor for C1 (10^-6) is wrong for xenon by 10^3: with both poles below 24 nm the printed formula has almost no dispersion (SGDD 1.17 against 87.42 fs^2/m measured at 800 nm) and gives n - 1 = 683.7e-6 at 546.2 nm against Leonard's 706.60e-6.",
      "evidence": "With C1 = 12.75e-3 um^2 the formula gives SGDD 88.54 fs^2/m (87.42 measured), n - 1 = 707.09e-6 at 546.2258 nm (Leonard 706.60), SGD 2197.8 and STOD 42.6 (40 +- 12; 41.5 before the second read of 2026-09-25); no other single power-of-ten change works (2026-09-24). Luna uses 12750e-6."
    }
  ]
}

Corrected form: C1 = 12.75e-3 um^2 (pole at 113 nm), the other coefficients as printed. The correction is established by the paper’s own 800 nm measurements and Leonard’s 546 nm value, which it reproduces; no other single change of one coefficient’s power of ten does (C2 = 0.0561 gives SGDD 147; C1 = 12.75e-4 gives 9.3). Luna’s PhysData.jl (read-only reference) uses C1 = 12750e-6, the same correction. Table 2 ‘Std. Dev.’: 43.25e-8.

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 review register for the checks and decisions.