High-resolution Fourier spectrometry of
${\text{N}}_{2}^{+}$

Françoise Michaud, Françoise Roux, Sumner P. Davis, and An-Dien Nguyen

Author Affiliations

Françoise Michaud,^{1} Françoise Roux,^{1} Sumner P. Davis,^{2} and An-Dien Nguyen^{2}

^{1}Laboratoire de Spectrométrie Ionique et Moléculaire, Université Claude Bernard Lyon I, 43 Boulevard du 11 Novembre 1918, 69622 Villeurbanne Cedex,
France;

^{2}Department of Physics, University of California, Berkeley, California 94720. USA

A new perturbation analysis of the first negative system B^{2}∑_{u}^{+} → X^{2}∑_{g}^{+} of the ^{14}N_{2}^{+} ion is performed based on spectra excited both at low and high temperatures by the use of either a hollow-cathode or a Pointolite lamp. Preliminary results are given for a deperturbation of the B^{2}∑_{u}^{+} (v = 0, v = 1) levels. Deperturbed molecular constants and parameters that describe the B^{2}∑_{u}^{+} ~ A^{2}Π_{u} interaction are derived.

Mizuho Fushitani, Yuto Toida, François Légaré, and Akiyoshi Hishikawa Opt. Express 27(14) 19702-19711 (2019)

References

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J_{c}′ is the value for which the B^{2}∑^{+} and A^{2}Π levels would be degenerate in the absence of any interaction.
Indicates the largest shift in energy levels (N′) produced by the ^{2}∑−^{2}Π interaction at each crossing point.

Table 2

B^{2}∑ (v = 1) ~ A^{2}Π (v = 11, v = 12, v = 13) Perturbations

J_{c}′ is the value for which the B^{2}∑^{+} and A^{2}Π levels would be degenerate in the absence of any interaction.
Indicates the largest shift in energy levels (N′) produced by the ^{2}∑−^{2}Π interaction at each crossing point.

Table 3

Molecular Parameters of the B^{2}∑_{u}^{+} State of ^{14}N_{2}^{+} (cm^{−1})a

Values in parentheses are the uncertainties in the last digits that correspond to two standard deviations.
The origin of T is the energy of the X^{2}∑ (v = 0, J = 1/2) F_{1} level.
γ″ (X^{2}∑^{+}) fixed values (see Table 5).
Distorsion parameters: α_{eJ} = − 0.90 × 10^{−3} (4) cm^{−1}, β_{eJ} = 0.217 × 10^{−4} (4). The results are from simultaneous fits of the 0–0, 0–1, 0–2, 1–0, 1–1, 1–2, 1–3, and 1–4 bands (rms ~ 0.009 cm^{−1}). The band origins (in inverse centimeters) are ν_{0} (0–0) = 25,566.058, ν_{0} (0–1) = 23,391.310, ν_{0} (0–2) = 21,249.068, ν_{0} (1–0) = 27,937.684, ν_{0} (1–1) = 25,762.936, ν_{0} (1–2) = 23,620.700, ν_{0} (1–3) = 25,511.230, ν_{0} (1–4) = 19,434.782.

Table 4

Equilibrium Molecular Constants of the A^{2}Π_{u} state of ^{14}N_{2}^{+} (cm^{−1})a

Values in parentheses are the uncertainties in the last digits that correspond to two standard deviations. Values in square brackets are fixed parameters.
The origin of T is the energy of the X^{2}∑ (v = 0, J = 1/2) F_{1} level.
Taken from Ref. 19.
Calculated by fitting a first-degree polynomial to A and D values of high vibrational levels v = 8 → 13 (data from Refs. 12–17). A_{j} are fixed to 2.4 × 10^{−5} (fitted value from the data of Refs. 12–17). A_{j j} are set equal to zero. H are fixed to −3.45 × 10^{−12} (calculated values of Ref. 3).

Table 5

Molecular Parameters of the X^{2}∑_{g}^{+} state of ^{14}N_{2}^{+} (cm^{−1})a

Values in parentheses are the uncertainties in the last digits that correspond to two standard deviations. T fixed values.19 The origin of T is the energy of the X^{2}∑ (v = 0, J = 1/2) F_{1} level.
γ fixed values.11–20H are set equal to zero.

Tables (5)

Table 1

B^{2}∑ (v = 0) ~ A^{2}Π (v = 10, v = 11) Perturbations

J_{c}′ is the value for which the B^{2}∑^{+} and A^{2}Π levels would be degenerate in the absence of any interaction.
Indicates the largest shift in energy levels (N′) produced by the ^{2}∑−^{2}Π interaction at each crossing point.

Table 2

B^{2}∑ (v = 1) ~ A^{2}Π (v = 11, v = 12, v = 13) Perturbations

J_{c}′ is the value for which the B^{2}∑^{+} and A^{2}Π levels would be degenerate in the absence of any interaction.
Indicates the largest shift in energy levels (N′) produced by the ^{2}∑−^{2}Π interaction at each crossing point.

Table 3

Molecular Parameters of the B^{2}∑_{u}^{+} State of ^{14}N_{2}^{+} (cm^{−1})a

Values in parentheses are the uncertainties in the last digits that correspond to two standard deviations.
The origin of T is the energy of the X^{2}∑ (v = 0, J = 1/2) F_{1} level.
γ″ (X^{2}∑^{+}) fixed values (see Table 5).
Distorsion parameters: α_{eJ} = − 0.90 × 10^{−3} (4) cm^{−1}, β_{eJ} = 0.217 × 10^{−4} (4). The results are from simultaneous fits of the 0–0, 0–1, 0–2, 1–0, 1–1, 1–2, 1–3, and 1–4 bands (rms ~ 0.009 cm^{−1}). The band origins (in inverse centimeters) are ν_{0} (0–0) = 25,566.058, ν_{0} (0–1) = 23,391.310, ν_{0} (0–2) = 21,249.068, ν_{0} (1–0) = 27,937.684, ν_{0} (1–1) = 25,762.936, ν_{0} (1–2) = 23,620.700, ν_{0} (1–3) = 25,511.230, ν_{0} (1–4) = 19,434.782.

Table 4

Equilibrium Molecular Constants of the A^{2}Π_{u} state of ^{14}N_{2}^{+} (cm^{−1})a

Values in parentheses are the uncertainties in the last digits that correspond to two standard deviations. Values in square brackets are fixed parameters.
The origin of T is the energy of the X^{2}∑ (v = 0, J = 1/2) F_{1} level.
Taken from Ref. 19.
Calculated by fitting a first-degree polynomial to A and D values of high vibrational levels v = 8 → 13 (data from Refs. 12–17). A_{j} are fixed to 2.4 × 10^{−5} (fitted value from the data of Refs. 12–17). A_{j j} are set equal to zero. H are fixed to −3.45 × 10^{−12} (calculated values of Ref. 3).

Table 5

Molecular Parameters of the X^{2}∑_{g}^{+} state of ^{14}N_{2}^{+} (cm^{−1})a

Values in parentheses are the uncertainties in the last digits that correspond to two standard deviations. T fixed values.19 The origin of T is the energy of the X^{2}∑ (v = 0, J = 1/2) F_{1} level.
γ fixed values.11–20H are set equal to zero.