To find the approximate wavelength of the 3T1 to 3T2 transition, we can use the formula ( \lambda = \frac{1}{\nu} ), where ( \nu ) is the energy in wavenumbers (cm^-1). The energy difference for the transition can be approximated as ( \Delta E \approx \Delta_o ) for this case, which is 29040 cm^-1. Converting this to wavelength, we have:
[ \lambda = \frac{1}{29040 , \text{cm}^{-1}} \times 10^7 , \text{nm/cm} \approx 344.3 , \text{nm}. ]
Thus, the approximate wavelength of the 3T1 to 3T2 transition is around 344 nm.
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