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3. Many proteins contain porphyrin molecules (structure shown below), which are planar. We can approximate the pi electrons in the porphyrin as being confined inside a square of side a. a. What are the energy levels and degeneracies of of a particle in a square of side a (make a diagram like Figure 3.6 in McQuarrie, p. 94)?

3. Many proteins contain porphyrin molecules (structure shown below), which are planar. We can approximate the pi electrons in the porphyrin as being confined inside a square of side a. a. What are the energy levels and degeneracies of of a particle in a square of side a (make a diagram like Figure 3.6 in McQuarrie, p. 94)?

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Subject is physical chemistry. Figure 3.6 is attached.

U + U + n y X 19 18 17 14 12 11 9 6 3 0 - - - (n,n,, n.) y (3,3,1)(3,1,3)(1,3,3) (4,1,1)(1,4,1)(1,1,4) (3,2,2)(2,3,2)(2,2,3) (3,2,1)(3,1,2)(2,3,1) (1,3,2)(1,2,3)(2,1,3) (2,2,2) Degeneracy 3 3 3 (3,1,1)(1,3,1)(1,1,3) (2,2,1)(2,1,2)(1,2,2) (2,1,1)(1,2,1)(1,1,2) - (1,1,1) 6 1 3 3 3 1 FIGURE 3.6 The energy levels for a particle in a cube. The degeneracy of each level is also indicated.
Transcribed Image Text:U + U + n y X 19 18 17 14 12 11 9 6 3 0 - - - (n,n,, n.) y (3,3,1)(3,1,3)(1,3,3) (4,1,1)(1,4,1)(1,1,4) (3,2,2)(2,3,2)(2,2,3) (3,2,1)(3,1,2)(2,3,1) (1,3,2)(1,2,3)(2,1,3) (2,2,2) Degeneracy 3 3 3 (3,1,1)(1,3,1)(1,1,3) (2,2,1)(2,1,2)(1,2,2) (2,1,1)(1,2,1)(1,1,2) - (1,1,1) 6 1 3 3 3 1 FIGURE 3.6 The energy levels for a particle in a cube. The degeneracy of each level is also indicated.
3. Many proteins contain porphyrin molecules (structure shown below), which are planar. We can approximate the pi electrons in the porphyrin as being confined inside a square of side a. a. What are the energy levels and degeneracies of of a particle in a square of side a (make a diagram like Figure 3.6 in McQuarrie, p. 94)? b. If the porphyrin has 16 pi electrons and a side length of 1000pm, what is the predicted lowest absorption energy of the molecule? (How does this compare with the experimental value of ~700nm? Is this a reasonable model for the porphyrin?) atm/
Transcribed Image Text:3. Many proteins contain porphyrin molecules (structure shown below), which are planar. We can approximate the pi electrons in the porphyrin as being confined inside a square of side a. a. What are the energy levels and degeneracies of of a particle in a square of side a (make a diagram like Figure 3.6 in McQuarrie, p. 94)? b. If the porphyrin has 16 pi electrons and a side length of 1000pm, what is the predicted lowest absorption energy of the molecule? (How does this compare with the experimental value of ~700nm? Is this a reasonable model for the porphyrin?) atm/
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