The particle-in-a-box or free electron model predicts that the transition energy of ethene is 109,060 cm-1.  Fill in the table below with the energies for butadiene and hexatriene.  One easy way to do this is to determine the ratio of the transition energies of both butadiene and hexatriene relative to ethene.  Use those ratios to calculate the transition energies.

 

Molecule

L (Å)

Ratio

DE (cm-1)

Ethene

2.89

1

109,060

Butene

5.78

 

 

Hexene

8.67