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27
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(X, ΔE* in kcal/mol): CH2, 55 (con) (vs. MINDO-3,23,24b 50; STO-3G,27 67; ab initio, 24b,25 60; ab initio Cl,24b,25 56); endo-NH, 45 (con), 48 (dis); NH2+, 27 (con), 29 (dis); O, 44; endo-OH+, 29 (con, dis); S, 48; endo-SH+, 36 (con), 37 (dis). As is usual for single-determinant calculations, the stability of the four-membered rings is overestimated, leading to an exothermic ring closure in most cases [X, ΔE_reac (1 → 2) in kcal/mol]: CH2,-10 (vs. O.5 to-20 kcal/mol by other methods23,24a,27,28b and +9 kcal/mol by experiment28b); endo-NH,-17; MH2+,-14; O,-28; endo-OH+,-23; S,-2; endo-SH+, 10 kcal/mol.
-
Energy barriers (ΔE*) for the incremental, unoptimized closure of cis dienes 1 to the four-membered ring 2 are as follows (X, ΔE* in kcal/mol): CH2, 55 (con) (vs. MINDO-3,23,24b 50; STO-3G,27 67; ab initio, 24b,25 60; ab initio Cl,24b,25 56); endo-NH, 45 (con), 48 (dis); NH2+, 27 (con), 29 (dis); O, 44; endo-OH+, 29 (con, dis); S, 48; endo-SH+, 36 (con), 37 (dis). As is usual for single-determinant calculations, the stability of the four-membered rings is overestimated, leading to an exothermic ring closure in most cases [X, ΔE_reac (1 → 2) in kcal/mol]: CH2,-10 (vs. O.5 to-20 kcal/mol by other methods23,24a,27,28b and +9 kcal/mol by experiment28b); endo-NH,-17; MH2+,-14; O,-28; endo-OH+,-23; S,-2; endo-SH+, 10 kcal/mol.
-
Energy barriers (ΔE*) for the incremental, unoptimized closure of cis dienes 1 to the four-membered ring 2 are as follows
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Operation of the noncrossing rule2,30 then guarantees that all filled MO's transform within the bonding/nonbonding manifold; i.e., “forbidden” reactions are forbidden since avoided HOMO-LUMO crossings are strongly avoided (e.g., lbg/ 2b-g). However, for near-symmetric pericyclic processes, HOMOLUMO crossings are only nearly avoided, and a significant energy gap between “allowed” and “forbidden” paths results (e.g., 3b,c/4b,c).
-
Strictly speaking when a system is devoid of symmetry, all MO's are characterized by the same point group, C. Operation of the noncrossing rule2,30 then guarantees that all filled MO's transform within the bonding/nonbonding manifold; i.e., “forbidden” reactions are forbidden since avoided HOMO-LUMO crossings are strongly avoided (e.g., lbg/ 2b-g). However, for near-symmetric pericyclic processes, HOMOLUMO crossings are only nearly avoided, and a significant energy gap between “allowed” and “forbidden” paths results (e.g., 3b,c/4b,c).
-
Strictly speaking when a system is devoid of symmetry, all MO's are characterized by the same point group, C.
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