Direct potential fit for the X1Σ state of f2: Perturbation of the highest observed v=22 vibrational level

Field, Robert W.

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https://hdl.handle.net/2142/104368 Copy

Description

Title

Direct potential fit for the X1Σ state of f2: Perturbation of the highest observed v=22 vibrational level

Author(s)

Field, Robert W.

Contributor(s)

• Hajigeorgiou, Photos
• Coxon, John

Issue Date

2019-06-18

Keyword(s)

Small molecules

Abstract

The high-resolution vacuum-uv spectrographic data$^{1}$ for the C - X emission and C,(D,E),H,h,I - X(v = 0) absorption transitions of F$_{2}$, in combination with pure rotation$^{2}$ and vibration-rotation$^{3}$ Raman data, have been employed in a least-squares analysis. Attention was given to the extensive blending in the absorption data and to account for plate-to-plate shifts in the emission data. The C - X data, with an estimated uncertainty of 0.05 \wn, sample X state vibrational levels v = 1 - 22,for which the potential energy function was fitted using the extended-MLR model$^{4}$. 3549 line positions in the weighted fit provided estimates of 1303 term values of excited electronic states and 17 parameters for the ground state. The highest observed v = 22 level of the ground state, which lies only 114 \wn below the F($^{2}$P$_{3/2}$) + F($^{2}$P$_{3/2}$) dissociation limit, is found to be perturbed; all rotational levels (J = 0 - 19) lie at energies 5 - 13 \wn below their expected positions. A deperturbation model was employed within the direct potential fit; in this novel approach, the eigenvalue of each J-level in v = 22 was determined from a 2 x 2 matrix, with the diagonal level of the perturbing state represented by E$_{p}$ + B$_{p}$J(J+1), and the off-diagonal element by a + b(J + 1/2). However, the b-parameter was indeterminate; a successful fit of the entire data set with inclusion of the deperturbation model for v = 22 provided the estimates E$_{p}$ = -70.5(3.7) \wn, B$_{p}$ = 0.226(6) \wn, a = 16.2(8) \wn and R$_{e}$ = 1.412555(4)\AA. There is much interest in an identification of the perturbing state. The results indicate a J-independent spin-orbit interaction with a weakly-bound perturbing state (R$_{e}$ = 2.8\AA), lying 40 - 50 \wn above v = 22. The absence of a J-dependent b(J + 1/2) Coriolis interaction implies a perturber with 0$_{g}$$^{+}$ symmetry. A plausible candidate is the a'(0$_{g}$$^{+}$) state which dissociates to the same atomic limit and which is repulsive at short-R. 1. E.A. Colbourn, M. Dagenais, A.E. Douglas, J.W. Raymonda, Can. J. Phys. 54 (13) (1976) 1343-1359. 2. H.G.M. Edwards, E.A.M. Good, D.A. Long, J. Chem. Soc. Faraday Trans. 272 (1976) 984-987. 3. R.Z. Martinez, D. Bermejo, J. Santos, P. Cancio, J. Mol. Spectrosc. 168 (1994) 343-349. 4. R.J. Le Roy, N.S. Dattani, J.A. Coxon, A.J. Ross, P. Crozet, C. Linton, J. Chem. Phys. 131 (2009) 204309.

Publisher

International Symposium on Molecular Spectroscopy

Type of Resource

text

Language

eng

Permalink

http://hdl.handle.net/2142/104368

DOI

https://doi.org/10.15278/isms.2019.TI02

Copyright and License Information

Copyright 2019 Robert W. Field

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