bendtsen_1974
=============

J\. Bendtsen, "The rotational and rotation\-vibrational Raman spectra of 14N2, 14N15N and 15N2", J\. Raman Spectrosc\. 2, 133 \(1974\)

`Source record <https://github.com/LupoLab/optmat/blob/main/src/optmat/data/sources/bendtsen_1974.toml>`__ · :doc:`Catalogue </the-data/sources>` · :doc:`Review register </register>`

DOI: `10\.1002/jrs\.1250020204 <https://doi.org/10.1002/jrs.1250020204>`__

**Source kind:** measurement

**Recorded technique:** Photographic grating Raman spectroscopy \(the instrument of Brodersen and Bendtsen, J\. Raman Spectrosc\. 1, 97 \(1973\)\)\: argon\-ion excitation at 4880 and 5145 A, grating in the 12th \(rotational\) or 11th \(rotation\-vibration\) order, spectral slit width 0\.15 cm^\-1, Kodak IIa\-D plates\. Pure rotational spectra of samples at atmospheric pressure \(minutes\) or of 30 torr N2 with 150 torr CO \(hours\), Stokes and anti\-Stokes on one plate, calibrated against the pure rotational lines of CO \(constants from Guelachvili's infrared spectrum\) as an internal standard; rotation\-vibration spectra of samples at 1 atm, 4880 A, 20 h exposures, calibrated with thorium lines and calibration\-polynomial constants interpolated from CO spectra \(pp\. 134\-137\)\. Weighted least\-squares fits of the line positions to Eqs\. \(5\)\-\(6\) \(weights 1/est\. dev\.^2\), p\. 141\.

**Materials in structured entries:** N2

**Dataset quantities:** raman\_shift, rotational\_constant

**Contents:** 19 datasets; 0 formulas.

Curation notes
--------------

Journal pages 133\-145 = PDF pages 1\-13 \(p\. = pdf page \+ 132\)\. Identity checked against the first page \(the library's 'review' flag only says that the PDF prints no DOI\)\. All tables checked against their images\: the extracted cells agree\.

MATERIAL\. N2 is 14N2, 'natural nitrogen' \(purity 99\.9995 %, p\. 134\)\. The 14N15N \(98 % 14N15N\) and 15N2 \(95 %\) samples, and every value of those isotopologues, are in these notes only\: Tables II \(14N15N\) and III \(15N2\) \(pure rotational lines, J = 0\-17 and 0\-19\), V \(14N15N\) and VI \(15N2\) \(fundamental band, O, Q and S branches\), and their rows of Tables VII\-IX\: 14N15N B\_0 = 1\.923596 \+\- 9 \(Rot\.\), D = 5\.38 \+\- 3 x 1e\-6, nu\_0 = 2291\.3324 \+\- 4, B\_0 \- B\_1 = 0\.016508 \+\- 2, alpha = 0\.016416 \+\- 2, B\_e = 1\.931816 \+\- 9, r\_e = 1\.097702 \+\- 4 A; 15N2 B\_0 = 1\.857624 \+\- 16, D = 5\.08 \+\- 5 x 1e\-6, nu\_0 = 2252\.1249 \+\- 3, B\_0 \- B\_1 = 0\.015667 \(printed '0\.015667 \- 2' in Table VII\: the '\+\-' is misprinted as a minus sign\), alpha = 0\.015575 \+\- 2, B\_e = 1\.865424 \+\- 16, r\_e = 1\.097700 \+\- 8 A\. In the extraction of Table VII the 14N15N label spans only the two rotation\-vibration rows; the image shows the 'Rot\.' row above them belongs to 14N15N \(and likewise for 15N2\)\. Nuclear\-spin statistics \(p\. 141\)\: in 14N2 the even\-J lines are twice as intense as the odd\-J lines, in 15N2 the odd\-J lines three times the even\-J, and 14N15N has no alternation; 'the observed spectra show intensity variations which agree'\.

WAVENUMBERS\. All values are in cm^\-1\. The paper does not say vacuum or air; the calibration against CO's rotational lines from infrared spectroscopy \[11\] makes them vacuum wavenumbers \(an inference, not a statement\)\. The temperature is not stated \(room temperature\)\. Pressure shifts are not discussed\.

LINE POSITIONS \(Tables I and IV\)\. Table I \(p\. 136\)\: the pure rotational lines 'as meanvalues of the averaged Stokes and anti\-Stokes frequencies from each plate' \(p\. 141\), printed as \|nu\| against the lower level J \(recorded as S\(J\)\)\. Table IV \(p\. 138\)\: the fundamental band, O\(2\)\-O\(17\), Q\(8\)\-Q\(20\), S\(0\)\-S\(17\), not averaged over Stokes and anti\-Stokes\. 'To each individual line an estimated deviation is assigned\. This deviation is judged from the appearance of the line on the plate' \(p\. 141\)\: the sigma column, level not stated\. Accuracy \(p\. 142\)\: 'An overall shift, different from plate to plate, is recognized by the fact that corresponding Stokes and anti\-Stokes shifts differ by a constant amount except when calibration is performed by the use of an internal standard \.\.\. Clearly the nu\_0 determination in the vibrational bands is affected by a similar shift\. By experience it is found that the absolute frequency determination is not better than \+\-0\.01 cm^\-1\.' So the pure rotational lines \(internal CO standard, Stokes and anti\-Stokes averaged\) carry their estimated deviations only; the fundamental band's lines carry theirs too, the \+\-0\.01 cm^\-1 being a common offset of the band \(in notes, not added per line\), and nu\_0 carries the \+\-0\.01 cm^\-1 as its absolute uncertainty \(combined in quadrature with the standard deviation\)\.

CONSTANTS \(Table VII, p\. 141; 'Molecular constants in cm^\-1'; 'Preferred values are in italics'; 'Deviations are standard deviations quoted in units of the last decimal'\)\. Eq\. \(5\)\: E = B\_0 J\(J\+1\) \- D J^2\(J\+1\)^2 for v = 0 \(printed with a stray 'J^2' for J\_0^2\) and Eq\. \(6\)\: E = nu\_0 \+ B\_1 J\(J\+1\) \- D J^2\(J\+1\)^2 for v = 1; 'The dependence of D on v is neglected, because Delta D is beyond the experimental accuracy' \(p\. 141\)\: D is one constant for both levels \(so D\_1 = D\_0 by assumption; no D\_1 is determined\)\. The italic \(preferred\) values for 14N2 are B\_0 and D from the pure rotational analysis, and nu\_0 and B\_0 \- B\_1 from the unconstrained rotation\-vibration analysis \(image checked\)\. 'The deviations quoted in Table VII refers only to the internal consistency' \(p\. 142\)\. 'The rotational constant B\_0 given in Table VII shows a systematic shift between the two types of spectra, whereas the D values are in excellent agreement\. The B\_0's obtained from the pure rotational spectra have to be preferred because of the calibration by the internal standard' \(p\. 142\)\: 1\.989707 against 1\.989574, 11 standard deviations; the rotation\-vibration B\_0 and D are use = 'check'\. A Th\-calibrated pure rotational analysis gave B\_0 = 1\.989785 \+\- 20 x 1e\-6 cm^\-1 \('even worse', p\. 142; not taken\)\. The constrained analysis holds B\_0 and D at the 'Rot\.' values \(printed in parentheses, not taken\)\. B\_1 is not printed\: B\_1 = B\_0 \- \(B\_0 \- B\_1\) is 1\.972323 \(unconstrained\) or 1\.972217 \(constrained\) cm^\-1 \(computed here, not stored\)\.

CHECKED \(2026\-09\-26, scratch script\)\: the 'obs\. \- calc\.' column of Table I is reproduced from the Rot\. constants \(B\_0 = 1\.989574, D = 5\.76e\-6\) to \<= 0\.0002 cm^\-1, and that of Table IV from the unconstrained constants \(B\_0 = 1\.989707, D = 5\.71e\-6, nu\_0 = 2329\.9168, B\_1 = B\_0 \- 0\.017384\) to \<= 0\.0003 cm^\-1 \(the rounding of the printed constants\), as the paper says \(p\. 142\: 'obtained using the constants from the unconstrained analysis'; the constrained constants leave residuals up to 0\.016\)\.

ALPHA \(Table VIII, p\. 143\)\: alpha = B\_0 \- B\_1 \+ 2 gamma \(Eq\. 7\), gamma = \-4\.6e\-5 cm^\-1 'as determined by Lofthus \[3\]', the same gamma assumed for all isotopologues; alpha is the alpha\_e of Eq\. \(2\), B\_v = B\_e \- alpha \(v \+ 1/2\) \+ gamma \(v \+ 1/2\)^2\. Reproduced exactly from Table VII \(0\.017384 \- 0\.000092 = 0\.017292\)\. The unconstrained values are preferred \(italic\) and 'adopted for further calculations' \(p\. 143\) because alpha mu^\(3/2\) is more nearly constant\: 0\.32036 \+\- 6, 0\.31994 \+\- 4, 0\.31991 \+\- 4 \(unconstrained\) and 0\.31986 \+\- 10, 0\.31944 \+\- 23, 0\.31985 \+\- 4 \(constrained\) for 14N2, 14N15N, 15N2 \(notes only\: no quantity\)\. alpha depends on an assumed gamma\: use = 'check' \(B\_0 \- B\_1 is the measured constant\)\.

B\_e AND r\_e \(Table IX, p\. 143\)\: B\_e from Eq\. \(2\) with Table VIII's alpha and Lofthus's gamma \(B\_e = B\_0 \+ alpha/2 \- gamma/4 = 1\.9982315 reproduces 1\.998232\), r\_e with the constants of Taylor et al\. \[15\]\: r\_e\(14N2\) = 1\.097700 \+\- 7 A, mean of the three isotopologues 1\.097701 \+\- 0\.000004 A \(p\. 145; bond length, no quantity\: notes only\)\. D check \(p\. 143\)\: D = 4 B\_e^3/omega^2 \(Eq\. 8\) with Lofthus's omega gives D\(14N2\) = 5\.74 x 10^\-6 cm^\-1 \(5\.36 and 5\.00 x 10^\-6 for 14N15N and 15N2 by mu^\-2 scaling\), 'agreeing well with the values given in Table VII' \(text values, not stored\: a model estimate with another paper's omega\)\.

TABLE X \(p\. 144; the unlabelled table tbl\_66df62a78ce2, its title 'TABLE X Molecular constants for 14N2' extracted as text\)\: 'Error limits are quoted in units of the last decimal\. Values in parentheses are transferred from Stoicheff \[1\] and used in a constrained analysis\. a Q branch maximum\.' The other authors' rows are reproduced \(table10\_\* datasets, one per constant, a row per author\); none of the cited papers is in the library\. The parenthesised values of Lofthus \(B\_0 1\.9897, nu\_0 2329\.66\) and Wilkinson \(nu\_0 2329\.66\) are Stoicheff's, held fixed in their analyses\: not taken \(Stoicheff's own row has them\)\. The 'This work' row repeats Table VII rounded, but prints nu\_0 as 2329\.92 \+\- 2 \(\+\-0\.02 cm^\-1, an error limit twice the p\. 142 statement's 0\.01 and 70 times Table VII's standard deviation\)\: not a separate dataset\. The error limits' level is not stated\. 'In those cases where error limits are given, the agreement with the results obtained in the present work are within 2 or 3 times the sum of the deviations' \(p\. 145\), except for Wilkinson's alpha\.

FORMULAS\: the spectroscopic model is Eqs\. \(5\)\-\(6\) with the Table VII constants, recorded as datasets \(no separate formula entry\)\.

**Recorded bibliographic identity status:** VALIDATED\_WITH\_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents.

Datasets
--------

bendtsen\_1974/table1\_S\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table1_S_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table1_S_N2.csv",
     "table": "tbl_0a37c986866c",
     "quantity": "raman_shift",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "primary",
     "parameters": {
       "transition": "pure rotational S(J), v = 0, J -> J + 2 (row)"
     },
     "uncertainty": {
       "column": true,
       "level": "not stated"
     }
   }

Table I \(p\. 136\), 'Wave numbers of the rotational Raman lines of 14N2'\: the pure rotational S\(J\) lines, J = 0\-18 \(the table prints the lower level J\), each the mean of the Stokes and anti\-Stokes shifts \(p\. 141\), calibrated against CO's rotational lines as an internal standard\. sigma\: the 'est\. dev\.' column, judged from the line's appearance on the plate \(level not stated\)\. The 'obs\. \- calc\.' column \(Rot\. constants of Table VII\) is kept in 'printed'\.

bendtsen\_1974/table4\_O\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table4_O_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table4_O_N2.csv",
     "table": "tbl_1caab6610c5d",
     "quantity": "raman_shift",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "primary",
     "parameters": {
       "transition": "fundamental band O(J), v = 0 -> 1, J -> J - 2 (row)"
     },
     "uncertainty": {
       "column": true,
       "level": "not stated"
     }
   }

Table IV \(p\. 138\), 'Wave numbers of the lines of the fundamental vibrational Raman band of 14N2'\: the O branch, O\(2\)\-O\(17\) \(v = 0, J \-\> v = 1, J \- 2\)\. sigma\: the 'est\. dev\.' column \(level not stated\); beyond it, the band as a whole may be offset\: p\. 142's absolute accuracy 'not better than \+\-0\.01 cm^\-1' \(a plate\-dependent overall shift, no internal standard\), common to all lines and so not added to the column\. The 'obs\. \- calc\.' column \(unconstrained constants\) is kept in 'printed'\.

bendtsen\_1974/table4\_Q\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table4_Q_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table4_Q_N2.csv",
     "table": "tbl_1caab6610c5d",
     "quantity": "raman_shift",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "primary",
     "parameters": {
       "transition": "fundamental band Q(J), v = 0 -> 1, J -> J (row)"
     },
     "uncertainty": {
       "column": true,
       "level": "not stated"
     }
   }

Table IV \(p\. 138\)\: the resolved Q\-branch lines Q\(8\)\-Q\(20\) of the fundamental band \(the lower J are unresolved in the band head\)\. Uncertainties as for table4\_O\_N2\. The residuals of Q\(10\)\-Q\(13\) \(0\.0047\-0\.0119\) exceed their estimated deviations; the paper does not comment\.

bendtsen\_1974/table4\_S\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table4_S_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table4_S_N2.csv",
     "table": "tbl_1caab6610c5d",
     "quantity": "raman_shift",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "primary",
     "parameters": {
       "transition": "fundamental band S(J), v = 0 -> 1, J -> J + 2 (row)"
     },
     "uncertainty": {
       "column": true,
       "level": "not stated"
     }
   }

Table IV \(p\. 138\)\: the S branch, S\(0\)\-S\(17\), of the fundamental band\. Uncertainties as for table4\_O\_N2\.

bendtsen\_1974/table7\_B0\_rot\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table7_B0_rot_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table7_B0_rot_N2.csv",
     "table": "tbl_77805abff7bd",
     "quantity": "rotational_constant",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "primary",
     "parameters": {
       "constant": "B",
       "vibrational_state_v": 0
     },
     "uncertainty": {
       "column": true,
       "level": "1 sigma"
     }
   }

Table VII \(p\. 141\)\: B\_0 = 1\.989574 \+\- 12 \(last decimal\) from the pure rotational spectrum, preferred \(italic\) and the value of Table X's 'This work'\. A standard deviation reflecting 'only the internal consistency' \(p\. 142\)\.

bendtsen\_1974/table7\_D\_rot\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table7_D_rot_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table7_D_rot_N2.csv",
     "table": "tbl_77805abff7bd",
     "quantity": "rotational_constant",
     "unit": "cm-1",
     "scale": 1e-06,
     "abscissa": "label",
     "use": "primary",
     "parameters": {
       "constant": "D",
       "vibrational_state_v": 0
     },
     "uncertainty": {
       "column": true,
       "level": "1 sigma"
     }
   }

Table VII \(p\. 141\)\: D = 5\.76 \+\- 3 \(x 1e\-6 cm^\-1\) from the pure rotational spectrum, preferred \(italic\)\. The sign convention is Eq\. \(5\)'s E = B J\(J\+1\) \- D J^2\(J\+1\)^2\. D is taken independent of v \(p\. 141\)\. Standard deviation, internal consistency only \(p\. 142\)\.

bendtsen\_1974/table7\_B0\_rotvib\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table7_B0_rotvib_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table7_B0_rotvib_N2.csv",
     "table": "tbl_77805abff7bd",
     "quantity": "rotational_constant",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "check",
     "parameters": {
       "constant": "B",
       "vibrational_state_v": 0
     },
     "uncertainty": {
       "column": true,
       "level": "1 sigma"
     }
   }

Table VII \(p\. 141\)\: B\_0 = 1\.989707 \+\- 12 from the unconstrained fit of the fundamental band \(Table IV\)\. Not preferred\: systematically 1\.3e\-4 cm^\-1 above the pure rotational value, attributed to the calibration constant a\_1 of the third calibration procedure \(p\. 142\)\.

bendtsen\_1974/table7\_D\_rotvib\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table7_D_rotvib_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table7_D_rotvib_N2.csv",
     "table": "tbl_77805abff7bd",
     "quantity": "rotational_constant",
     "unit": "cm-1",
     "scale": 1e-06,
     "abscissa": "label",
     "use": "check",
     "parameters": {
       "constant": "D"
     },
     "uncertainty": {
       "column": true,
       "level": "1 sigma"
     }
   }

Table VII \(p\. 141\)\: D = 5\.71 \+\- 5 \(x 1e\-6 cm^\-1\) from the unconstrained fit of the fundamental band, one D common to v = 0 and v = 1 \(p\. 141\), so no vibrational state is given; 'in excellent agreement' with the pure rotational D \(p\. 142\)\. Not preferred\.

bendtsen\_1974/table7\_nu0\_unconstrained\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table7_nu0_unconstrained_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table7_nu0_unconstrained_N2.csv",
     "table": "tbl_77805abff7bd",
     "quantity": "raman_shift",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "primary",
     "parameters": {
       "transition": "v = 0 -> 1 band origin nu_0"
     },
     "uncertainty": {
       "column": true,
       "absolute": 0.01,
       "level": "not stated"
     }
   }

Table VII \(p\. 141\)\: the band origin nu\_0 = E\_1 \- E\_0 \(Eq\. 6, the J = 0 levels\) = 2329\.9168 \+\- 3 \(last decimal, a standard deviation of internal consistency\), unconstrained fit, preferred \(italic\)\. The absolute uncertainty is p\. 142's 'not better than \+\-0\.01 cm^\-1' \(combined here in quadrature with the column\); Table X prints 2329\.92 \+\- 2 \(\+\-0\.02\)\.

bendtsen\_1974/table7\_nu0\_constrained\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table7_nu0_constrained_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table7_nu0_constrained_N2.csv",
     "table": "tbl_77805abff7bd",
     "quantity": "raman_shift",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "check",
     "parameters": {
       "transition": "v = 0 -> 1 band origin nu_0"
     },
     "uncertainty": {
       "column": true,
       "absolute": 0.01,
       "level": "not stated"
     }
   }

Table VII \(p\. 141\)\: nu\_0 = 2329\.9156 \+\- 7 from the fit with B\_0 and D held at the pure rotational values\. Not preferred\. Absolute uncertainty as for table7\_nu0\_unconstrained\_N2\.

bendtsen\_1974/table7\_dB\_unconstrained\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table7_dB_unconstrained_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table7_dB_unconstrained_N2.csv",
     "table": "tbl_77805abff7bd",
     "quantity": "rotational_constant",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "primary",
     "parameters": {
       "constant": "B0 - B1"
     },
     "uncertainty": {
       "column": true,
       "level": "1 sigma"
     }
   }

Table VII \(p\. 141\)\: B\_0 \- B\_1 = 0\.017384 \+\- 3 from the unconstrained fit of the fundamental band, preferred \(italic\); 'almost independent of the choice between the two procedures' \(p\. 142\)\. The fitted constant from which Table VIII's alpha follows \(alpha = B\_0 \- B\_1 \+ 2 gamma\)\. B\_1 = 1\.989707 \- 0\.017384 = 1\.972323 cm^\-1 in this fit \(not stored\)\.

bendtsen\_1974/table7\_dB\_constrained\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table7_dB_constrained_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table7_dB_constrained_N2.csv",
     "table": "tbl_77805abff7bd",
     "quantity": "rotational_constant",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "check",
     "parameters": {
       "constant": "B0 - B1"
     },
     "uncertainty": {
       "column": true,
       "level": "1 sigma"
     }
   }

Table VII \(p\. 141\)\: B\_0 \- B\_1 = 0\.017357 \+\- 6 from the fit with B\_0 and D held at the pure rotational values\. Not preferred\.

bendtsen\_1974/table8\_alpha\_unconstrained\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table8_alpha_unconstrained_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table8_alpha_unconstrained_N2.csv",
     "table": "tbl_fb40cdaa8814",
     "quantity": "rotational_constant",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "check",
     "parameters": {
       "constant": "alpha_e"
     },
     "uncertainty": {
       "column": true,
       "level": "1 sigma"
     }
   }

Table VIII \(p\. 143\)\: alpha = 0\.017292 \+\- 3 = \(B\_0 \- B\_1\) \+ 2 gamma from the unconstrained B\_0 \- B\_1, with gamma = \-4\.6e\-5 cm^\-1 assumed from Lofthus \(Can\. J\. Phys\. 34, 780 \(1956\)\); preferred \(italic\) and adopted \(p\. 143\); Table X's 'This work' alpha\. Derived from table7\_dB\_unconstrained\_N2 and an assumed gamma, so a check\. The deviation is B\_0 \- B\_1's \(gamma's uncertainty not propagated\)\.

bendtsen\_1974/table8\_alpha\_constrained\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table8_alpha_constrained_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table8_alpha_constrained_N2.csv",
     "table": "tbl_fb40cdaa8814",
     "quantity": "rotational_constant",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "check",
     "parameters": {
       "constant": "alpha_e"
     },
     "uncertainty": {
       "column": true,
       "level": "1 sigma"
     }
   }

Table VIII \(p\. 143\)\: alpha = 0\.017265 \+\- 6 from the constrained B\_0 \- B\_1 and the same gamma\. Not preferred\.

bendtsen\_1974/table9\_Be\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table9_Be_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table9_Be_N2.csv",
     "table": "tbl_b9751e81a126",
     "quantity": "rotational_constant",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "check",
     "parameters": {
       "constant": "B_e"
     },
     "uncertainty": {
       "column": true,
       "level": "1 sigma"
     }
   }

Table IX \(p\. 143\)\: the equilibrium B\_e = 1\.998232 \+\- 12 \(last decimal, 'standard deviations'\), from Eq\. \(2\) with B\_0 \(Rot\.\), Table VIII's unconstrained alpha and Lofthus's gamma; reproduced \(1\.9982315\)\. Derived, so a check\. No vibrational state \(the potential minimum\)\. r\_e = 1\.097700 \+\- 7 A beside it\: notes\.

bendtsen\_1974/table10\_B0\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table10_B0_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table10_B0_N2.csv",
     "table": "tbl_66df62a78ce2",
     "quantity": "rotational_constant",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "reproduced",
     "reproduced_from": [
       "B. P. Stoicheff, Can. J. Phys. 32, 630 (1954)",
       "R. J. Butcher, D. V. Willetts and W. J. Jones, Proc. Roy. Soc. London A324, 231 (1971)",
       "P. G. Wilkinson, Astrophys. J. 126, 1 (1957)",
       "T. J. Vanderslice, S. G. Tilford and P. G. Wilkinson, Astrophys. J. 141, 395 (1964)"
     ],
     "parameters": {
       "constant": "B",
       "vibrational_state_v": 0
     },
     "uncertainty": {
       "column": true,
       "level": "not stated"
     }
   }

Table X \(p\. 144\)\: B\_0 of 14N2 from the literature, a row per author\: Stoicheff \[1\] \(Raman\) 1\.98973 \+\- 30, Butcher et al\. \[2\] \(Raman\) 1\.989506 \+\- 27, Wilkinson \[4\] \(ultraviolet\) 1\.9898 \+\- 5, Vanderslice \[5\] \(ultraviolet\) 1\.9896 \(no error printed\)\. Lofthus's '\(1\.9897\)' is Stoicheff's value held fixed\: not taken\. Error limits in units of the last decimal, level not stated\.

bendtsen\_1974/table10\_D\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table10_D_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table10_D_N2.csv",
     "table": "tbl_66df62a78ce2",
     "quantity": "rotational_constant",
     "unit": "cm-1",
     "scale": 1e-06,
     "abscissa": "label",
     "use": "reproduced",
     "reproduced_from": [
       "B. P. Stoicheff, Can. J. Phys. 32, 630 (1954)",
       "R. J. Butcher, D. V. Willetts and W. J. Jones, Proc. Roy. Soc. London A324, 231 (1971)",
       "A. Lofthus, Can. J. Phys. 34, 780 (1956)",
       "P. G. Wilkinson, Astrophys. J. 126, 1 (1957)",
       "T. J. Vanderslice, S. G. Tilford and P. G. Wilkinson, Astrophys. J. 141, 395 (1964)"
     ],
     "parameters": {
       "constant": "D"
     },
     "uncertainty": {
       "column": true,
       "level": "not stated"
     }
   }

Table X \(p\. 144\)\: D \(x 1e\-6 cm^\-1\) of 14N2 from the literature\: Stoicheff 6\.1 \+\- 5, Butcher et al\. 5\.48 \+\- 6, Lofthus 6, Wilkinson 6\.4, Vanderslice 5\.80 \(no errors printed for the last three\)\. Whether each is D\_0 or a v\-independent D is not said\. Error limits in units of the last decimal, level not stated\.

bendtsen\_1974/table10\_alpha\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table10_alpha_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table10_alpha_N2.csv",
     "table": "tbl_66df62a78ce2",
     "quantity": "rotational_constant",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "reproduced",
     "reproduced_from": [
       "A. Lofthus, Can. J. Phys. 34, 780 (1956)",
       "P. G. Wilkinson, Astrophys. J. 126, 1 (1957)"
     ],
     "parameters": {
       "constant": "alpha_e"
     },
     "uncertainty": {
       "column": true,
       "level": "not stated"
     }
   }

Table X \(p\. 144\)\: alpha of 14N2 from the ultraviolet\: Lofthus 0\.01709 \+\- 30, Wilkinson 0\.01781 \(no error printed; 'the possible exception' to the agreement, p\. 145\)\. Error limits in units of the last decimal, level not stated\.

bendtsen\_1974/table10\_nu0\_N2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "id": "table10_nu0_N2",
     "material": "N2",
     "file": "N2/bendtsen_1974__table10_nu0_N2.csv",
     "table": "tbl_66df62a78ce2",
     "quantity": "raman_shift",
     "unit": "cm-1",
     "abscissa": "label",
     "use": "reproduced",
     "reproduced_from": [
       "B. P. Stoicheff, Can. J. Phys. 32, 630 (1954)"
     ],
     "parameters": {
       "transition": "v = 0 -> 1 Q-branch maximum (unresolved)"
     },
     "uncertainty": {
       "column": true,
       "level": "not stated"
     }
   }

Table X \(p\. 144\)\: Stoicheff's 2329\.66 \+\- 20 \(last decimal\: \+\-0\.20 cm^\-1\), note a\: 'Q branch maximum', the unresolved Q branch \(p\. 133\), not the band origin\: 0\.26 cm^\-1 below this paper's nu\_0\. The '\(2329\.66\)' of Lofthus and Wilkinson is this value held fixed\: not taken\.

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 </register>` for the checks and decisions.