Energies , delocalization

Calculate the delocalization energies of the positive ion, free radical, and negative ion of the allvl model. 

Determine the delocalization energy and dipole moment for methylenecyclobutene. 

Spectroscopically determined values of P vai y, but they aie usually around —2.4 eV. In the section on resonance stabilization, we saw that thermodynamic measurements of the total resonance stabilization of butadiene yield 11 and 29 kJ mol according to the reference standard chosen. Calculate the delocalization energy of buta-1,3-diene in units of p. Determine two values for the size of the energy unit p from the thermochemical estimates given. Do these agree well or poorly with the spectroscopic values ... 

The delocalization energy of benzene is 2p (verify this). From information in Exereise 7-6 ealeulate yet another value for the size of the unit p based on the thermodynamic values of the enthalpy of fomiation of benzene. Does this value agree with the themiodynamic values in Problem 14 Does it agree with the spectroscopic value ... 

Interatomic distances calculated from the detailed analysis of rotational fine structure of the UV spectrum of pyrazine are in close agreement with those observed in (7) and (8), with the calculated bond lengths for C—C of 1.395, C—N 1.341 and C—H 1.085 A (60DIS(20)4291). Thermochemical data have provided a figure of 75 kJ moP for the delocalization energy of the pyrazine ring (B-67MI21400). 

NMR and, 3, 951 aromaticity, 3, 945 delocalization energy, 3, 959 deprotonation, 3, 972 disulfones reactions, 3, 970 double bond character, 3, 945 electronic energy levels, 3, 946 electrophilic reactions, 3, 965 electrophilic substitution, 3, 960 half-wave potential, 3, 968 NMR, 3, 952 H NMR, 3, 951 nucleophilic reactions, 3, 969 oxidation, 3, 967 oxides... 

The predictions of relative stability obtained by the various approaches diverge more widely when nonbenzenoid systems are considered. The simple Hiickel method using total n delocalization energies relative to an isolated double-bond reference energy (a + fi) fails. This approach predicts stabilization of the same order of magnitude for such unstable systems as pentalene and fulvalene as it does for much more stable aromatics. The HMO, RE, and SCF-MO methods, which use polyene reference energies, do much better. All show drastically reduced stabilization for such systems and, in fact, indicate destabilization of systems such as butalene and pentalene (Scheme 9.2). 

Repeat your analysis fox phenoxy radical. Instead of charge, focus on the spin density. Calculate the delocalization energy using phenoxy radical at phenol geometry. Is it of the same order of magnitude as that for phenoxy anion Explain. 

Two independent molecular orbital calculations (HMO method) of delocalization energies for isoindole and isoindolenine tautomers agree that the isoindole form should possess the more resonance stabilization. The actual difference calculated for isoindole-isoindolenine is about 8 kcal/mole, but increases in favor of the isoindole with phenyl substitution at position 1 (Table VI).Since isoindole and isoindolenine tautomers have roughly comparable thermodynamic stabilities, the tautomeric proce.ss is readily obser-... 

The di-n-propyl cyclopropenyl cation failed to photolyze either in aqueous acid or organic solvents, with or without sensitizers. A possible explanation in the discrepancy between the triphenyl system and this one lies in the calculated energy differences between the cations and their corresponding radicals. In the triphenyl system this energy difference is 0-5 3 or 16 kcal/mol, while in the di-n-propyl case it is 1 00)3 or 32 kcal/ mol, based on calculated delocalization energies for the two species. 

The dimerization in exocyclic positions was considered. For the C-C a bond energy, we employed the value 82.17 kcal/mole for (3 unit, we used the value 15.8 kcal/mole obtained from the correlation of experimental and HMO delocalization energies. 

IR VTMCD band in each of the [Fe3S4] spectra, therefore, corresponds to the uniaxial a- a transition of Fe-Fe interaction and the resonance delocalization energy, (3, is determined to be 4290 25 cm for Type 1 clusters and 4350 25 cm for Type 2 clusters. Hence, the Fe-Fe interactions within the valence-delocalized pair are very similar in both locations. 

The rates of radical-forming thermal decomposition of four families of free radical initiators can be predicted from a sum of transition state and reactant state effects. The four families of initiators are trarw-symmetric bisalkyl diazenes,trans-phenyl, alkyl diazenes, peresters and hydrocarbons (carbon-carbon bond homolysis). Transition state effects are calculated by the HMD pi- delocalization energies of the alkyl radicals formed in the reactions. Reactant state effects are estimated from standard steric parameters. For each family of initiators, linear energy relationships have been created for calculating the rates at which members of the family decompose at given temperatures. These numerical relationships should be useful for predicting rates of decomposition for potential new initiators for the free radical polymerization of vinyl monomers under extraordinary conditions. 

Equation 6 would hold for a family of free radical initiators of similiar structure (for example, the frarw-symmetric bisalkyl diazenes) reacting at the same rate (at a half-life of one hour, for example) at different temperatures T. Slope M would measure the sensitivity for that particular family of reactants to changes in the pi-delocalization energies of the radicals being formed (transition state effect) at the particular constant rate of decomposition. Slope N would measure the sensitivity of that family to changes in the steric environment around the central carbon atom (reactant state effect) at the same constant rate of decomposition. 

More entries were used to test the valT3ity of equation 6 for reaction 1 than for the other families of initiators (Table I). Six of the thirteen entries for reaction 1 have AE(x) values bunched between -21 and -24 kcal/mole. It was felt that, by using all of these six entries, any bias in structure activity relationships would be decreased for this region of radical pi-delocalization energies. This group also includes those diazenes which are most used commercially, such as 2,2 -azobisisobutyronitrile (AIBN - entry 16 ) and dimethyl 2,2 -azobisisobutyrate (entry 14). 

The most important results of the linear free energy equations in this study (Table IV) are the applications to which they can be used. For a new free radical initiator, belonging to any of the four radical forming reactions of this study, equation 6 should be useful to predict the rate of decomposition with reasonable accuracy. All that is needed is an HMD calculation to obtain the pi-delocalization energy for the radical formed in the reaction (R ) and an estimate of the steric A values for groups bonded to the central carbon of R. ... 

---