Polarizability of two interacting molecules N2 and O2

Buldakov, Mikhail A.; Korolev, B. V.; Matrosov, I. I.; Cherepanov, Victor N.

doi:10.1134/1.1555176

Cited by 13 publications

(22 citation statements)

References 7 publications

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“…[26] In agreement with the most advanced HW theory, [30] this last factor was calculated by Buldakov et al [26] for nitrogen and oxygen. Their Q-branch result for N 2 has been compared here with Eqn (10) adjusted to the polarizability parameters of Maroulis.…”

Section: Discussionsupporting

confidence: 56%

“…4 with the anisotropic HW factor F γ TB (J) higher than F a TB (J) (upper panel). The modifications in the differential cross section (Eqn (7)) relative to the unperturbed [26] The variation of the relative differential cross section (dashed line) and its square (solid line) are plotted below. N 2 molecule are again controlled by F a TB (J) only (lower panel).…”

Section: Analysis Of New Q-branch Hw Factorsmentioning

confidence: 99%

“…To complete the analysis of new Q-branch HW factors, it is appropriate at this point to introduce the work of Buldakov et al [26] centered on calculations for N 2 and O 2 . These authors propose solutions of Eqn (1) on the basis of the general theory developed by Bouanich and Blumenfeld, [30] which is detailed to higher powers than the product J(J + 1).…”

Section: Analysis Of New Q-branch Hw Factorsmentioning

confidence: 99%

“…The overall outcome is sketched in Fig. 7 that shows how the HW factor is about two times more [26] The variation of the relative differential cross section (dashed line) and its square (solid line) are plotted below.…”

Section: Analysis Of New Q-branch Hw Factorsmentioning

confidence: 99%

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Comparative analysis of Herman‐Wallis factors for uses in coherent anti‐Stokes Raman spectra of light molecules

Marrocco

2009

J Raman Spectroscopy

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The cross section of Raman processes involving light molecules takes into account the unavoidable coupling between rotational and vibrational modes. This coupling is quantified by the Herman-Wallis (HW) factor and its use was recently criticized in view of the known thermometric application of vibrational spectra of coherent antiStokes Raman scattering (CARS) of hydrogen. Following this line of research, this paper addresses the physical limitations of the HW factors employed ordinarily in Q-branch CARS measurements. Furthermore, new determinations of the vibration-rotation coupling are considered. These are based on a more realistic scenario consisting of anharmonic oscillations and polarizability variations during vibration. Numerical examples for fundamental diatomics, namely H 2 and N 2 , are given throughout the text. It is found that, as expected, the Raman cross section of H 2 is strongly dependent on the HW factor and the consequent correction to CARS line intensities is of the order of 10% or greater. Surprisingly, the analysis suggests that N 2 spectral data are also affected, to a certain extent, by the new HW factors. Usually, this correction is completely disregarded, but under the new understanding of the vibration-rotation coupling, Q-branch CARS lines of N 2 are predicted to undergo variations between 1 and 5% for rotational levels that are sufficiently populated at temperatures of interest for CARS studies. Oxygen is also prone to vibration-rotation corrections and is finally shown as an example between the two limits of hydrogen and nitrogen.

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Section: Discussionsupporting

confidence: 56%

Section: Analysis Of New Q-branch Hw Factorsmentioning

confidence: 99%

Section: Analysis Of New Q-branch Hw Factorsmentioning

confidence: 99%

Section: Analysis Of New Q-branch Hw Factorsmentioning

confidence: 99%

See 2 more Smart Citations

Comparative analysis of Herman‐Wallis factors for uses in coherent anti‐Stokes Raman spectra of light molecules

Marrocco

2009

J Raman Spectroscopy

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“…Explicit results for the strengths S n (T) of the four components of the dipole-induced dipole mechanism are listed in (22). The frequency for the transition f 4 i can be approximated by:…”

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confidence: 99%

Theoretical Study of Collision-Induced Double Transitions in CO2-X2 (X2 = H2, N2, and O2) Pairs

Brown

Tipping

2001

Journal of Molecular Spectroscopy

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On the sensitivity of rotational CARS N₂ thermometry to the Herman–Wallis factor

Bohlin

Bengtsson

Marrocco

2011

J Raman Spectroscopy

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Purely rotational spectral signals of coherent anti-Stokes Raman scattering (CARS) from nitrogen molecules are studied as a function of the vibration-rotation interaction that weakens the rigid rotor approximation under which the dominant terms of the Raman cross section are calculated. The effect of the vibration-rotation interaction is quantified by means of the Herman-Wallis (HW) factor, and different approaches to its determination are evaluated in terms of their relative contribution to the CARS intensity and thermometric measurements made in a fuel-rich hydrocarbon flame. Known HW factors are contrasted with more complete expressions of recent derivation, and it is found that relative line strength adjustments amount to about a few percent. Such differences result in temperature corrections of less than 1%. This value should be considered for the definition of the ideal thermometric accuracy of the technique but it is of minor importance in comparison with other sources of uncertainty (e.g. Raman line widths) that emerge from the complexity typical of reactive gas mixtures.

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Polarizability of two interacting molecules N2 and O2

Cited by 13 publications

References 7 publications

Comparative analysis of Herman‐Wallis factors for uses in coherent anti‐Stokes Raman spectra of light molecules

Comparative analysis of Herman‐Wallis factors for uses in coherent anti‐Stokes Raman spectra of light molecules

Theoretical Study of Collision-Induced Double Transitions in CO2-X2 (X2 = H2, N2, and O2) Pairs

On the sensitivity of rotational CARS N₂ thermometry to the Herman–Wallis factor

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Polarizability of two interacting molecules N2 and O2

Cited by 13 publications

References 7 publications

Comparative analysis of Herman‐Wallis factors for uses in coherent anti‐Stokes Raman spectra of light molecules

Comparative analysis of Herman‐Wallis factors for uses in coherent anti‐Stokes Raman spectra of light molecules

Theoretical Study of Collision-Induced Double Transitions in CO2-X2 (X2 = H2, N2, and O2) Pairs

On the sensitivity of rotational CARS N2 thermometry to the Herman–Wallis factor

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On the sensitivity of rotational CARS N₂ thermometry to the Herman–Wallis factor