Derive Equation 1 an expression for the wavelength nm corresponding to the transfer of an electron from the HOMO to the LUMO in terms of k and the fundamental constants, and hence calculate theoretical value of the constant B calc. A photon with the appropriate wavelength may promote a electron from the highest occupied molecular orbital HOMO to the lowest unoccupied molecular orbital LUMO.įrom the given semi-empirical formula, the wavelength nm is calculated as follows: 1 2 2 Official English Version 5 2. Particles in a box: polyenes In quantum mechanics, the movement of electrons along a neutral chain of conjugated carbon atoms may be modeled using the particle in a box method. Do not leave the room without permission. After the STOP signal put your booklet in the envelope do not sealleave at your table. Need to go to the restroom raise your hand. The official English version is available on demand for clarification only. There are 52 pages in the booklet including the answer boxes, Cover Sheet and Periodic Table. Answers on the back side and the draft papers will NOT be marked. If you need more draft paper, use the back side of the paper. Use only the pen and calculator provided. Write down answers and calculations within the designated boxes. Failure to stop after the STOP command may result in zero points for the current task. You have 5 hours to fulfill the problems.