Question

A Birge-Sponer plot allows determination of many molecular parameters for iodine. For excited state parameters, the B-S plot is a plot of equation (15) in the handout. Derive equation (15) by combining equations (13) and (14). Write out the derivation in your lab notebook. $\Delta E_{tot}(v') = T_B' + \tilde{\nu}_e (v' + \frac{1}{2}) - \tilde{\nu}_e \tilde{x}_e (v' + \frac{1}{2})^2 - \tilde{\nu}_e'' \tilde{x}_e'' (\frac{1}{4})$ (13) $\Delta E_{photon} = \Delta (\Delta E_{tot}(v'))$ $= \Delta E_{tot}(v' + 1) - \Delta E_{tot}(v')$ (14) Combining equations (13) and (14), $\Delta E_{photon} = \tilde{\nu}_e - 2\tilde{\nu}_e \tilde{x}_e (v' + 1) = \Delta E_{vib}$ (15)

          A Birge-Sponer plot allows determination of many molecular parameters for iodine. For excited state parameters, the B-S plot is a plot of equation (15) in the handout.
Derive equation (15) by combining equations (13) and (14). Write out the derivation in your lab notebook.
$\Delta E_{tot}(v') = T_B' + \tilde{\nu}_e (v' + \frac{1}{2}) - \tilde{\nu}_e \tilde{x}_e (v' + \frac{1}{2})^2 - \tilde{\nu}_e'' \tilde{x}_e'' (\frac{1}{4})$ (13)
$\Delta E_{photon} = \Delta (\Delta E_{tot}(v'))$
$= \Delta E_{tot}(v' + 1) - \Delta E_{tot}(v')$ (14)
Combining equations (13) and (14),
$\Delta E_{photon} = \tilde{\nu}_e - 2\tilde{\nu}_e \tilde{x}_e (v' + 1) = \Delta E_{vib}$ (15)

Added by Taylor G.

Question

Please give Ace some feedback