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Unformatted text preview: Homework #6 Y o u r N a m e : Due on Monday, November 14, before the lecture. Only two problems will be graded explicitly. The last problem is optional. zero) Color of our blood: Hemoglobin (abbreviated Hgb) is the oxygentransport metalloprotein in the red blood cells of all vertebrates. A complex of a heme group with Fe, known as a porphyrin (its structure is shown below), is a chromophore that gives blood its color. We can apply the model of particle in a twodimensional box to model the electrons in the porphyrin. a) Using the approximate dimensions of Hgb shown above, and the fact that this complex has 30 electrons, calculate the energy for the molecule to be excited from the ground state (lowest energy state) to the first excited state, and the wave length of the corresponding photon. Hint: be careful in how you choose quantum numbers n x and n y for electronic states in a 2D box; for your convenience, the following table gives the values of n x and n y corresponding to the state #: # electron pairs n x n y 1 1 1 2,3 (degeneracy = 2) 2 1 1 2 4 2 2 5,6 (degeneracy = 2) 1 3 3 1 7,8 (degeneracy = 2) 2 3 3 2 9,10 (degeneracy = 2) 4 1 1 4 11 3 3 12,13 (degeneracy = 2) 4 2 10.0 Å 10.0 Å 2 4 14,15 (degeneracy = 2) 4 3 3 4 16 4 4 17 (degeneracy = 2) 5 1 1 5 Etc… Useful constants and units: h = 6.626 x 1034 J...
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This note was uploaded on 12/05/2011 for the course CHEM 113A taught by Professor Lin during the Fall '07 term at UCLA.
 Fall '07
 Lin
 Quantum Chemistry

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