Morse Franck-Condon Factors and R-Centroids for Some Lyman Bands of H2, HD and D2

Using new rotational and vibrational constants, Morse Franck-Condon factors and r-centroids are computed for 108 Lyman bands of astrophysical importance H₂, HD and D₂ molecules. Experimental oscillator strengths conjoint with Morse Franck-Condon Factors for six Lyman bands of molecular hydrogen yield radiative lifetimes for v = 0–5 levels of the B 1σ_u ⁺ state that are inconsistent with the experimental lifetime measurements. The limitation of analytic Morse function in the region of small internuclear separation for the B 1σ_u ⁺ state of H₂ is discussed. The r-centroids (r_v′v″) are found to increase with frequencies of the Lyman bands of H₂, HD and D₂. For a sequence, Δr = r_{v′+1,v″+1} - r_v′v″ is constant. A comparison of r_v′v″ values of the Lyman bands shows that r_v′vv″ of the band (v′v″) increases in going from H₂ to D₂.