The adjacent figure shows the experimentally determined potential energy curve of the electronic ground state of "Br2, with a few of the vibrational levels. The vibrational transitions are reasonably well described by a harmonic-oscillator model, but much more accurately by including a small anharmonic correction term: En/hc = ve(n+ 1/2) VeXe(n+ 1/2). From fits to experimental data, the values of the constants are Ve = 325.32 cm and vex, = 1.08 cm!. -5 -10 -15 (A) Calculate the energy (in cm equivalents) of the 0 1 vibrational transition both with and without the 2.5 3.5 4.5 rIA anharmonic correction. What is the difference? Ehc / 10' cm (B) The above expression for the energy levels looks similar to the one for the Morse potential, which is (hwe)? (n + 1/2)2, where De is the depth of the Morse potential well. By En = hwe(n + 1/2) comparing this with the expression given above, calculate a value for De (in cm' equivalents). (C) The actual value of De from the figure is De/hc = 16056.875 cm-1. Compare this value to the one you calculated assuming a Morse potential. What can you conclude from the comparison? (D) How are the bond dissociation energy Do and the potential well depth De related? Calculate Do (in kJ/mol) using the correct value of De given under (c). %3D 4De