Table 1. Spectroscopic Data for the BrO molecule
v' + 1
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
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
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
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