The - absorption system of molecular bromine,

PHYSICS · Multi-part · Fermi University Physics · Atomic, Molecular & Optical Physics · Molecular structure and spectra · Molecular structure and spectra

Deriving the Spectrum, Ch Electronic spectra of diatomic molecules

Problem

The BB-XX absorption system of molecular bromine, 79Br2^{79}\mathrm{Br}_2, is a long progression from v′′=0v'' = 0 that converges at ν~conv=19 579.9 cm−1\tilde\nu_{\rm conv} = 19\,579.9\,\mathrm{cm^{-1}} above the v′′=0v'' = 0 level of the ground state XX. At the convergence limit the molecule separates into one bromine atom in its ground state, Br(2P3/2)\mathrm{Br}(^2P_{3/2}), and one in its first excited state, Br(2P1/2)\mathrm{Br}(^2P_{1/2}), which lies Tat=3685 cm−1T_{\rm at} = 3685\,\mathrm{cm^{-1}} above the ground atomic state. ((a)) Find the ground-state dissociation energy D0(X)D_0(X) of Br2\mathrm{Br}_2 in cm−1\mathrm{cm^{-1}}. ((b)) Convert your answer to eV.

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