Napthalene, C10H8, consists of two fused 6- membered rings and features a T-system that houses 10...

 

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Napthalene, C10H8, consists of two fused 6- membered rings and features a T-system that houses 10 electrons. To a good approximation, we can assume that the length of the box is equal to twice the width as shown in the diagram to the right. a) Modify the general energy expression for a particle trapped in a 2-dimensional box to account for the specific realtionship between the length and width shown here. Your result should be symbolic, with quantum numbers, a dimension variable and other constants. E₁, ₂ = b) Using the expression from part a, construct an energy level diagram showing the seven lowest energy states of this system. Watch out for degeneracies. Populate the energy states with electrons to represent the ground state of the TT electron system. Each level can hold two electrons. (If a set of levels is degenerate, they fill halfway first before the second electron is added). B 2a 4c) If the dimension "a" = 280 pm in the above drawing, what wavelength of light will be required to excite the lowest energy TT* transition of napthalene? (This process will move an electron from the highest occupied energy level to the lowest, unoccupied energy level.) Napthalene, C10H8, consists of two fused 6- membered rings and features a T-system that houses 10 electrons. To a good approximation, we can assume that the length of the box is equal to twice the width as shown in the diagram to the right. a) Modify the general energy expression for a particle trapped in a 2-dimensional box to account for the specific realtionship between the length and width shown here. Your result should be symbolic, with quantum numbers, a dimension variable and other constants. E₁, ₂ = b) Using the expression from part a, construct an energy level diagram showing the seven lowest energy states of this system. Watch out for degeneracies. Populate the energy states with electrons to represent the ground state of the TT electron system. Each level can hold two electrons. (If a set of levels is degenerate, they fill halfway first before the second electron is added). B 2a 4c) If the dimension "a" = 280 pm in the above drawing, what wavelength of light will be required to excite the lowest energy TT* transition of napthalene? (This process will move an electron from the highest occupied energy level to the lowest, unoccupied energy level.)

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Solution The total energy for a Enx my Where general ... View the full answer