Q 7: An electronic system with 12 -electrons (all of them in conjugation) can be treated as aparticle in a 2-D box of size of 3 Å x 6 Å. Calculate the wavelength corresponding to the lowestenergy electronic transition for this system.The expression for the energy of a 2-D box with sides of length a and b is(n²Enginy= 2²2 (22/2+a²+n²b²where nx and ny are quantum numbers (1, 2, 3, 4, etc.). These two quantum numbers are independentof each other and do not have to be equal, though they will be equal for some energy levels, forexample the lowest energy state (the ground state) is E11. Some of the energy levels will degenerate.

We are given a 2D box with dimensions containing electrons in conjugation. The lowest energy…

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