skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Dissociation energies and potential energy functions for the ground X {sup 1}Σ{sup +} and “avoided-crossing” A {sup 1}Σ{sup +} states of NaH

Abstract

A direct-potential-fit analysis of all accessible data for the A {sup 1}Σ{sup +} − X {sup 1}Σ{sup +} system of NaH and NaD is used to determine analytic potential energy functions incorporating the correct theoretically predicted long-range behaviour. These potentials represent all of the data (on average) within the experimental uncertainties and yield an improved estimate for the ground-state NaH well depth of D{sub e} = 15797.4 (±4.3) cm{sup −1}, which is ∼20 cm{sup −1} smaller than the best previous estimate. The present analysis also yields the first empirical determination of centrifugal (non-adiabatic) and potential-energy (adiabatic) Born-Oppenheimer breakdown correction functions for this system, with the latter showing that the A-state electronic isotope shift is −1.1(±0.6) cm{sup −1} going from NaH to NaD.

Authors:
; ;  [1]
  1. Department of Chemistry, University of Waterloo, Waterloo, Ontario N2L 3G1 (Canada)
Publication Date:
OSTI Identifier:
22410270
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Chemical Physics; Journal Volume: 142; Journal Issue: 4; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; BORN-OPPENHEIMER APPROXIMATION; DISSOCIATION ENERGY; GROUND STATES; POTENTIAL ENERGY; SODIUM HYDRIDES

Citation Formats

Walji, Sadru-Dean, Sentjens, Katherine M., and Le Roy, Robert J.. Dissociation energies and potential energy functions for the ground X {sup 1}Σ{sup +} and “avoided-crossing” A {sup 1}Σ{sup +} states of NaH. United States: N. p., 2015. Web. doi:10.1063/1.4906086.
Walji, Sadru-Dean, Sentjens, Katherine M., & Le Roy, Robert J.. Dissociation energies and potential energy functions for the ground X {sup 1}Σ{sup +} and “avoided-crossing” A {sup 1}Σ{sup +} states of NaH. United States. doi:10.1063/1.4906086.
Walji, Sadru-Dean, Sentjens, Katherine M., and Le Roy, Robert J.. Wed . "Dissociation energies and potential energy functions for the ground X {sup 1}Σ{sup +} and “avoided-crossing” A {sup 1}Σ{sup +} states of NaH". United States. doi:10.1063/1.4906086.
@article{osti_22410270,
title = {Dissociation energies and potential energy functions for the ground X {sup 1}Σ{sup +} and “avoided-crossing” A {sup 1}Σ{sup +} states of NaH},
author = {Walji, Sadru-Dean and Sentjens, Katherine M. and Le Roy, Robert J.},
abstractNote = {A direct-potential-fit analysis of all accessible data for the A {sup 1}Σ{sup +} − X {sup 1}Σ{sup +} system of NaH and NaD is used to determine analytic potential energy functions incorporating the correct theoretically predicted long-range behaviour. These potentials represent all of the data (on average) within the experimental uncertainties and yield an improved estimate for the ground-state NaH well depth of D{sub e} = 15797.4 (±4.3) cm{sup −1}, which is ∼20 cm{sup −1} smaller than the best previous estimate. The present analysis also yields the first empirical determination of centrifugal (non-adiabatic) and potential-energy (adiabatic) Born-Oppenheimer breakdown correction functions for this system, with the latter showing that the A-state electronic isotope shift is −1.1(±0.6) cm{sup −1} going from NaH to NaD.},
doi = {10.1063/1.4906086},
journal = {Journal of Chemical Physics},
number = 4,
volume = 142,
place = {United States},
year = {Wed Jan 28 00:00:00 EST 2015},
month = {Wed Jan 28 00:00:00 EST 2015}
}
  • Calculations of diatomic potential energy curves calculated by using two different kinds of effective core potentials are presented. The curves studied are the ground states of NaH/sup +/ and KH/sup +/ and the lowest /sup 3/II and /sup 1/II states of NaH and KH. The two methods yield qualitatively similar but quantitatively different results. The best values calculated for the potential well depths and positions for NaH/sup +/ and KH/sup +/ are 0.06 and 0.02 eV and 5.1a/sub 0/ and 6.5a/sub 0/, respectively. Both methods predict that the potential curves of the II states of the neutrals are qualitatively similarmore » to the potential curves of the ground states of the ions.« less
  • High resolution Fourier-transform spectroscopy data of term values in the spin-orbit (SO) coupled first excited A {sup 1}Σ{sup +} and b{sup 3}Π{sub 0±} states in KCs were obtained from (4){sup 1}Σ{sup +} → A {sup 1}Σ{sup +} − b {sup 3}Π, A {sup 1}Σ{sup +} − b {sup 3}Π → X{sup 1}Σ{sup +}, and (1){sup 3}Δ{sub 1} → b{sup 3}Π{sub 0±} spectra of laser-induced fluorescence (LIF). About 3000 new rovibronic term values of the A {sup 1}Σ{sup +} and b {sup 3}Π{sub Ω} states were obtained with an uncertainty about 0.01 cm{sup −1} and added to the previously obtained 3439 term values in Kruzins et al. [Phys. Rev.more » A 81, 042509 (2010)] and 30 term values of the b {sup 3}Π{sub 0{sup +}} state levels below the A {sup 1}Σ{sup +} state in Tamanis et al. [Phys. Rev. A 82, 032506 (2010)]. The data field was extended considerably, going down to vibrational level v{sub b} = 0 and up in energy to 13 814 cm{sup −1}, as compared to previously achieved v{sub b} = 14 and E = 13 250 cm{sup −1}. Overall 6431 e-symmetry term values of {sup 39}K{sup 133}Cs were included in 4 × 4 coupled-channel deperturbation analysis. The analytical Morse-Long-Range (MLR) function yielded empirical diabatic potentials for the A {sup 1}Σ{sup +} and b {sup 3}Π{sub 0{sup +}} states while the morphing of the SO ab initio points [J. T. Kim et al., J. Mol. Spectrosc. 256, 57 (2009)] provided the empirical diagonal and off-diagonal SO functions. Overall 98.5% of the fitted term values were reproduced with a rms (root mean square) uncertainty of 0.004 cm{sup −1}. The reliability of the model is proved by a good agreement of predicted and measured term values of the {sup 41}K{sup 133}Cs isotopologue, as well as of measured and calculated intensities of (4){sup 1}Σ{sup +} → A {sup 1}Σ{sup +} − b {sup 3}Π LIF progressions. Direct-potential-fit of low-lying v{sub b} levels of the b {sup 3}Π{sub 0{sup −}} component yielded the MLR potential which represents the 204 f-symmetry experimental term values with a rms uncertainty of 0.002 cm{sup −1}. The Ω-doubling of the b {sup 3}Π{sub 0} sub-state demonstrates a pronounced v{sub b}-dependent increase.« less
  • The vector correlation between the alignment of reactant N{sub 2} (A {sup 3}Σ{sub u}{sup +}) and the alignment of product NO (A {sup 2}Σ{sup +}) rotation has been studied in the energy transfer reaction of aligned N{sub 2} (A {sup 3}Σ{sub u}{sup +}) + NO (X {sup 2}Π) → NO (A {sup 2}Σ{sup +}) + N{sub 2} (X {sup 1}Σ{sub g}{sup +}) under the crossed beam condition at a collision energy of ∼0.07 eV. NO (A {sup 2}Σ{sup +}) emission in the two linear polarization directions (i.e., parallel and perpendicular with respect to the relative velocity vector v{sub R}) hasmore » been measured as a function of the alignment of N{sub 2} (A {sup 3}Σ{sub u}{sup +}) along its molecular axis in the collision frame. The degree of polarization of NO (A {sup 2}Σ{sup +}) emission is found to depend on the alignment angle (θ{sub v{sub R}}) of N{sub 2} (A {sup 3}Σ{sub u}{sup +}) in the collision frame. The shape of the steric opacity function at the two polarization conditions turns out to be extremely different from each other: The steric opacity function at the parallel polarization condition is more favorable for the oblique configuration of N{sub 2} (A {sup 3}Σ{sub u}{sup +}) at an alignment angle of θ{sub v{sub R}} ∼ 45° as compared with that at the perpendicular polarization condition. The alignment of N{sub 2} (A {sup 3}Σ{sub u}{sup +}) is found to give a significant effect on the alignment of NO (A {sup 2}Σ{sup +}) rotation in the collision frame: The N{sub 2} (A {sup 3}Σ{sub u}{sup +}) configuration at an oblique alignment angle θ{sub v{sub R}} ∼ 45° leads to a parallel alignment of NO (A {sup 2}Σ{sup +}) rotation (J-vector) with respect to v{sub R}, while the axial and sideways configurations of N{sub 2} (A {sup 3}Σ{sub u}{sup +}) lead to a perpendicular alignment of NO (A {sup 2}Σ{sup +}) rotation with respect to v{sub R}. These stereocorrelated alignments of the product rotation have a good correlation with the stereocorrelated reactivity observed in the multi-dimensional steric opacity function [H. Ohoyama and S. Maruyama, J. Chem. Phys. 137, 064311 (2012)].« less
  • We have updated the isotopically invariant Dunham fit of O{sub 2} with newly reported literature transitions to derive (1) the energy levels, partition sums, band-by-band molecular constants, and RKR potentials for the X{sup 3}Σ{sub g}{sup −}, a{sup 1}Δ{sub g}, and b{sup 1}Σ{sub g}{sup +} states of the six O{sub 2} isotopologues: {sup 16}O{sup 16}O, {sup 16}O{sup 17}O, {sup 16}O{sup 18}O, {sup 17}O{sup 17}O, {sup 17}O{sup 18}O, and {sup 18}O{sup 18}O; (2) Franck-Condon factors for their a{sup 1}Δ{sub g}−X{sup 3}Σ{sub g}{sup −}, b{sup 1}Σ{sub g}{sup +}−X{sup 3}Σ{sub g}{sup −}, and a{sup 1}Δ{sub g}−b{sup 1}Σ{sub g}{sup +} band systems. This new spectroscopicmore » parameterization characterizes all known transitions within and between the X{sup 3}Σ{sub g}{sup −}, a{sup 1}Δ{sub g}, and b{sup 1}Σ{sub g}{sup +} states within experimental uncertainty and can be used for accurate predictions of as yet unmeasured transitions. All of these results are necessary to provide a consistent linelist of all transitions which will be reported in a followup paper.« less
  • All available “conventional” absorption/emission spectroscopic data have been combined with photodissociation data and translational spectroscopy data in a global analysis that yields analytic potential energy and Born-Oppenheimer breakdown functions for the X{sup 1}Σ{sup +} and A{sup 1}Π states of CH{sup +} and its isotopologues that reproduce all of the data (on average) within their assigned uncertainties. For the ground X{sup 1}Σ{sup +} state, this fully quantum mechanical “Direct-Potential-Fit” analysis yielded an improved empirical well depth of D{sub e} = 34 362.8(3) cm{sup −1} and equilibrium bond length of r{sub e} = 1.128 462 5 (58) Å. For the A{sup 1}Π state, the resulting wellmore » depth and equilibrium bond length are D{sub e} = 10 303.7(3) cm{sup −1} and r{sub e} = 1.235 896 (14) Å, while the electronic isotope shift from the hydride to the deuteride is ΔT{sub e} = − 5.99(±0.08) cm{sup −1}.« less