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Mass Ratio of the Lithium Isotopes from the Spectrum of Li2

Andrew McKellar

  • Department of Physics, University of California

Phys. Rev. 44, 155 – Published 1 August, 1933

DOI: https://doi.org/10.1103/PhysRev.44.155

Abstract

Wave-number data.—The blue-green absorption bands of lithium have been photographed in the second order of a 21-foot grating. In the main, Li7Li7, system the 2,0, 1,0, 0,0, 0,1 and 0,2 bands and in the isotopic, Li6Li7, system the 1,0, 0,0, 0,1 bands and a somewhat incomplete 0,2 band have been measured and analyzed. Wave numbers of the lines of all these bands are tabulated. An unsuccessful attempt was made to identify Li6Li6 band lines.

Vibrational constants.—Values of ΔGv are calculated by least squares and from them are deduced the vibrational constants of the main and isotopic systems. The constants are given by the following equations: ΔGv=351.3745.181 (v+12), ΔGv=270.9416.266 (v+12), ΔGvi=365.9235.619 (v+12), ΔGvi=282.0816.791 (v+12). The isotopic mass coefficient ρ=(μμi)12=ωeiωe was calculated for the lower and upper states. The resulting values are, from the Σ1 state, ρ=1.04141±0.00008 (considered the most trustworthy figure) and from the Π1 state, ρ=1.0411±0.0002. These results are shown to correspond to a higher isotopic mass ratio Li7/Li6 than that indicated by the massspectrograph results of Costa. By employing the Q branch of the 0,2 isotope band, ΔG112i was found and the relation xeixe=ρ was verified to within the probable error.

Rotational and electronic constants.—From rotational term differences, values of Bv were computed for the main and isotopic systems by least squares. The calculated constants are: Bv=0.67210.00708 (v+12), Bv=0.55770.00888 (v+12), Bvi=0.73020.00830 (v+12), Bvi=0.60460.00922 (v+12). From the relation BeiBe=ρ2 are obtained values of ρ which agree to within their probable error (one part in 1500) with the more accurate results obtained from the vibrational constants. The Λ-doubling for the two lowest vibrational levels of the Π1 state was investigated and found sensibly equal for the main and isotopic band systems. The origins of the two band systems were computed to be νe=20436.25±0.02 and νei=20436.29±0.04, indicating no measurable electronic isotope effect.

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