Kagune and conjugation
Kaneki Ken needs your help! The kagune he possesses has turned invisible, and you have been tasked to determine why!
Assuming the energy levels of a conjugated system are just like a 1 dimensional box, derive a relation to find the wavelength of light emitted during a transition between frontier orbitals. Also the length of the box can be assumed to be , where is the number of Carbon atoms and is the bond length of the C-C bond.
Using this relation,
Find the greatest integer of the wave number of emitted light by ethene in centimeter inverse, if C-C bond length is 1.34 angstroms.
Bonus
Is Kaneki's kagune really invisible?
The answer is 56302.
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1 solution
From the above equation substitute L = (N+1)1.34 angstroms. Since ethene has two carbon atoms N = 2.
Wave number is the inverse of wave length so invert the above equation.
On substituting values for h,c,N and L, the wave number in centimeters will be 56302 .