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Table 1. Spectroscopic Data for the BrO molecule v' Energy (cm-1) v' + 1 AG (cm-1) 15457 1 16163 2 16857 3 17539 4 18215 5 18876 6 19516 7 20,135 1. Using Excel, draw a Birge-Sponer plot using the data in Table 1. You should first fill in the blank columns in the table with the appropriate values. 2. Make a linear fit to the Birge-Sponer plot. From the slope and intercept of the linear fit, determine the"equilibrium" vibrational frequency, V' and the e anharmonicity constant, V' Xe for BrO. Report your answers in cm-1 3. Find the x-intercept for your Birge-Sponer plot. This will give you an idea of the maximum vibrational energy (convergence limit in cm-1) in the upper electronic state (the point at which the molecule dissociates). 4. Now you can determine the convergence limit (in cm-1) for the molecule. Refer to Equation 14 in this handout. When calculating this value, the upper limit on your integration should be the x-intercept you determined in question 3 above (not oo). The lower limit should be the maximum V' level measured in the experiment. 5. Finally, determine the dissociation energy, D"o, for BrO. Refer to Figure 1 and Equation 11. Note that in the case of BrO, you may use the value 15,868 cm-1 for Tatomic (corresponding to the energy for excitation of atomic oxygen, O O*).

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