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Experimentally and theoretically determined line strengths are presented for E, [F.sup.1][[sigma].sup.+.sub.g](v' = 0, J' = J") - [X.sup.1][[sigma].sup.+.sub.g] (v", J") (2 + 1) REMPI transitions in [H.sub.2], HD, and [D.sub.2]. The experimental technique employs a hot filament source of internally excited hydrogen that allows experimental determination of line strengths for the low rotational states of highly excited vibrational manifolds (v" [less than or equal to] 4). The line strengths are found to depend only weakly on J" for the states measured here, and theoretical results indicate that the line strengths depend strongly on v". These values are combined with previously measured and calculated line strengths for these transitions (K.-D. Rinnen, M.A. Buntine, D.A.V. Kliner, R.N. Zare, and W.M. Huo. J. Chem. Phys. 95, 214 (1991)), resulting in a more complete compilation of REMPI line strengths for molecular hydrogen. Key words: hydrogen, spectroscopy. REMPI, line strength, multiphoton.

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