Question

3. The spectrum arising from transitions between two states of C2 shows the Voo line at 19,378 cm-1 and a convergence limit at 39,231 cm-1 The dissociation is into one ground state and one excited state atom, the excitation energy of the latter being 10,308 cm1. Calculate the exact dissociation energies of the two states.

Answer 1

The convergence limit 39231 cm7 10-19 J per atom 4.875 eV per atom Also 7.8 x 10-19 x 6.022 x 1023 x 10-3 kJ per mol 469.7 kJ per mol (E-hc/ X-hcv-6.63 x 10-34 x 3 x 1010 x 39231 7.8 x1019J -4.875 eV per atom) Transition to Ground state wave number 19378 cm1 3.85 x 1019J-2.4 eV per atom (Also 3.85 x 10-19 x 6.022 x 1023 x 103 kJ per mol 231.8 kJ per mol) Transition to excited state- wave number- 10308 cm1 2.05 x 10-19 J per atom 1.28 eV per atom (Also 2.05 x 10 9x 6.022 x 102 x 103123.45 kJ per mol) Convergence limit 4.9 eV 469.7 kJ per mol Excited state 3.68 eV (2.41.28) 355.25 kJ per mol (231.8123.45) Ground state 231.8 kJ per mol [Planck' constant 6.63 x 10-34 Js, Speed of light 3 x 1010 cm s1,1 eV 1.6 x 10-19 J and 1J - 10-3 kJ] 2.4 eV