Consider the π-system formed from a single p-orbital from each atom in N−C−N, where aN=a+1.0β   (i) Determine the π-orbital energies   (ii) Determine all three π-orbital molecular orbitals  

 

The amino acid tryptophan is shown below. Consider the pi-molecular orbitals on the indole ring, formed from 2p_z orbitals on the numbered atoms around the indole ring. b) Three other molecular orbitals are shown below. For each, draw the molecular orbital, identify it as "bonding" or "antibonding", and predict the relative energies of the three orbitals. For the drawings please Pay very careful attention to the numbers of the atomic orbitals! psi_A = (c_1 phi_1 + c_2 phi_2 + c_3 phi_3) - (c_4 phi_4 + c_5 phi_5 + c_9 phi_9) + (c_6 phi_6 + c_7 phi_7) psi_B = (c_2 phi_2 + c_1 phi_1 + c_9 phi_9 + c_8 phi_8 + c_7 phi_7) - (c_3 phi_3 + c_4 phi_4 + c_5 phi_5 + c_6 phi_6) psi_C = c_2 phi_2 - (c_1 phi_1 + c_9 phi_9 + c_4 phi_4 + c_3 phi_3)+ c_5 phi_5 - (c_6 phi_6 + c_7 phi_7) + c_8 phi_8 c) The HOMO is shown below (only the indole side chain shown). Write the molecular orbital as a linear combination of the phi_2pz orbitals.

Here you will construct the 5 pi-molecular orbitals for the cyclopentadienyl anion: The molecular orbitals are a linear combination of the 5 2p orbitals on the 5 carbon atoms around the ring. Use Huckel Theory to construct the 5 secular equations of the molecular orbitals. Solving the matrix in (a) yields the following molecular orbitals: psi_1 = phi^1_2pz + phi^1_2pz + phi^3_2pz + phi^4_2pz + phi^5_2pz psi_2 = (phi^1_2pz + phi^2_2pz) - (phi^2_2pz + phi^4_2pz) psi_3 = (phi^1_2pz + phi^2_2pz + phi^3_2pz) - (phi^4_2pz + phi^5_2pz) psi_4 = (phi^1_2pz + phi^2_2pz) - phi^3_2pz + phi^4_2pz + phi^5_2pz psi_5 = phi^1_2pz - phi^2_2pz + phi^4_2pz + phi^5_2pz DRA W the 5 molecular orbitals from the Huckel-Theory energies, the energies of each orbital is shown below: E_1 = alpha + 2 beta E_23 alpha + 0.62 beta E_45 = alpha - 1.62 beta Draw the complete molecular orbital energy-level diagram for cyclopentadiene, including the electrons, and calculate the total energy of the pi-orbitals.

The orbitals are a 2s atomic orbital from a nitrogren, a σ2p molecular orbital from N2+ a π2p molecular orbital from N2+, a σ25 molecular orbital from N2+, a 2p atomic orbital from a nitrogen, and a σ2s molecular orbital from N2+ Correct Answer List Question List (6 images) (Drag and drop into the appropriate area) Highest Energy No more