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CHE 538 Lecture 25 Page 1 Frontier Molecular Orbitals and Sigmatropic reactions. 1. Mentally cut through the clutter in this outline and hang on to the thought that all the reactions presented have some things fundamental in common! 1.1. They are all single elemental steps. 1.1.1. No intermediates between reactant and product. 1.2. All these reactions are dependent on orbital symmetry. 2. The ring closure elemental step in the mechanism below is an electrocyclic ring closure. 2.1. 2.1.1. Do you think you can explain what elemental changes in structure are driving this reaction? 2.1.2. Do you think you could explain with sufficient detail how this ring closure is similar to the Cope rearrangement? Cope rearrangement. 2.1.2.1. 2.1.3. Or how the first two examples have so much in common with the Diels-Alder reaction? CN CN CN 40% 60% 2.1.3.1. 2.1.4. Electrocyclic ring closures are disrotatory when the transition state possesses an aromatic number of electrons (4N+2)=2, 6, 10 etc. and conrotatory when the transition state possesses an anti-aromatic number of electrons. =4, 8, 12 etc. not Ph Ph Ph Ph Ph 2.1.5. 2.1.5.1. six-electron transition state - - > disrotatory Ph Ph Ph CHE 538 Lecture 25 Page 2 Ph Ph Ph Ph Ph Ph Ph Ph Ph Ph 2.1.6. 2.1.6.1. four electron transition state - - > conrotatory 2.1.7. By analogy the Nazarov cyclization should proceed in a conrotatory fashion. OH C O O H Ph Ph Ph Ph Ph H Ph 2.1.8. 2.1.8.1. This fact has no synthetic significance for the molecule above because the zwitterion in the figure above quickly looses a proton in the next step, thus erasing any record of the diastereoselectivity of the cyclization. O 2.1.9. R H O O 254 nm benzene R H H3PO4, HOAc R R R R 2.1.9.1. However the reaction above demonstrates that the initial rotation of the ring closure under thermal conditions is conrotatory. Whereas in the excited state the initial rotation of the ring closure under thermal conditions is disrotatory. 2.1.10. In any case the mechanistic examples follow the Woodward, Hoffman rules of orbital overlap and symmetry conservation. At least a rudimentary knowledge of this stuff is necessary for an Organic Chemist. 3. The reactions discussed above also have a lot in common with closed-shell 1, 5-hydrogen atom transfer reactions. Shown below. CHE 538 Lecture 25 Page 3 3.1. Nominally 6 electrons are involved with this transposition. 3.2. The reaction transfers hydrogen atom across the same face of the molecule. Why is this so? H H H H H Ph 3.3. 4. Woodward and Hoffmann formulated the MO-based hypothesis in terms of complimentary overlap in transition states constructed from the HOMOs of the acyclic fragments. Ph 2 nodes HOMO interaction of Frontier HOMOS H C Ph 1 node H Ph HOMO five pi electrons Ph 4.1. + 0 nodes best bonding on one side of pi-system CHE 538 Lecture 25 Page 4 4.2. 4.2.1. For stereochemical insights, you don’t have to know the value of the coefficients; you simply have to know the relative signs. 4.3. Construction of the MOs of polyene fragments (crude). 4.3.1. The HOMOs of neutral polyene fragments with odd numbers of carbon atoms have open shells with nodes that bisect atoms. 4.3.1.1. These are odd alternate hydrocarbon polyenes and as such they have a node at every other atom in the HOMO and the HOMO must be non-bonding at zero beta. 4.3.1.2. From here we can construct the HOMOs straight away. C C C C C C C C C 4.3.1.3. 4.3.2. The HOMOs of neutral polyenes with even numbers of carbon atoms have closed shells with nodes that bisect bonds. 4.3.2.1. These are even alternate hydrocarbon polyenes and as such they have a node at every other bond in the HOMO; the HOMO must have some bonding character. 4.3.2.2. CHE 538 Lecture 25 Page 5 5. Allowed versus forbidden is a function of energy. H 5.1. H 400 C 5.2. 200 C should have done it for a symmetry-allowed reaction. 6. How would we expect the reaction below to occur? 6.1. Suprafacial or antarafacial hydrogen atom transfer? O O H H + ? Heat! 6.2. 6.2.1. How would we tell? 6.2.2. What would drive the reaction?