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The HOMO energy is
, and the LUMO energy is
. The HOMO-LUMO
gap, which should correspond to the lowest energy transition, is therefore
The associated photon wavelength is
This is not particularly close to the actual wavelength of ~370 nm, but what are you going
e. (2 points) Determine the point group to which anthracene belongs.
Because all of the C-C bonds are aromatic (and therefore equivalent), anthracene is . f. (6 points) Determine the symmetries of all of the molecular orbitals in the π system.
Assuming the molecule lies in the
anthracene is Reducing gives plane with its long dimension along the axis, for 2. Consider acetylene (
a. (4 points) The ):
-dimensional representation for acetylene is reduces to
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