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1. Consider treating polyenes, ethylene, butadiene, hexatriene etc., with the one-dimensional particle-in-the-box model. What length polyene that is number of C atoms is required to absorb light in the red region of the spectrum? Explain how does that compare with the conjugated portion of carotene?
2. Again utilizing the particle-in-the-box problem, predict in eV the first IP and electron affinity of hexatriene. Explain what temperature would be needed to achieve 10% population of the normally lowest unoccupied molecular orbital (LUMO)?
3. Consider an electron in one, two and three dimensional boxes with a side of 4 A. Explain how does the zero-point energy vary with increasing dimension?
Show all the steps in the mechanism for the following reaction, When benzene is mixed with deuterated sulfuric acid, deuterium is slowly incorporated onto the ring. Show the mechanism for this reaction and explain how this relates the sulfonation of ..
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