Cross-interaction constants

The quantity p,. is called the cross-interaction constant. Only if Pt,. is negligible does Eq. (7-41) become the additive relationship... 

Miller first used Eq. (7-41) to correlate multiple variations, and this approach has more recently been subjected to considerable development. Many cross-interaction constants have been evaluated multiple regression analysis is one technique, but Miller and Dubois et ah discuss other methods. Lee et al. consider Pxy to be a measure of the distance between groups x and y in the transition state... 

Cross-interaction constants and transition-state structure in solution, 27, 57 Crown-ether complexes, stability and reactivity of, 17,279 Crystallographic approaches to transition state structures, 29,87 Cyclodextrins and other catalysts, the stabilization of transition states by, 29,1... 

Tetrahedral intermediates, derived from carboxylic acids, spectroscopic detection and the investigation of their properties, 21, 37 Topochemical phenomena in solid-state chemistry, 15, 63 Transition state structure, crystallographic approaches to, 29, 87 Transition state structure, in solution, effective charge and, 27, 1 Transition state structure, secondary deuterium isotope effects and, 31, 143 Transition states, structure in solution, cross-interaction constants and, 27, 57 Transition states, the stabilization of by cyclodextrins and other catalysts, 29, 1 Transition states, theory revisited, 28, 139... 

Transition stale structure, secondary deuterium isotope effects and, 31, 143 Transition states, structure in solution, cross-interaction constants and, 27, 57 Transition states, the stabilization of by cyclodextrins and other catalysts, 29, 1 Transition states, theory revisited, 28, 139... 

Finally, Lee (1995) has used cross-interaction constants to model the transition states for several SN2 reactions. Lee concluded that the magnitude of the secondary a-deuterium KIE increases as the SN2 transition state... 

Gas-phase nucleophilic substitution reactions of Y-benzyl chlorides and X-phenoxide or X-thiophenoxide nucleophiles have been investigated by using the PM3 semiempirical MO method. The structure of the transition state was examined. The values of the gas-phase Hammett constants px and py are much greater than for the solution reactions, but a theoretical cross-interaction constant pxy (ca —0.60 for both phenoxides and thiophenoxides) agrees well with an experimental value of —0.62 for the thiophenoxide reactions in MeOH at 20 °C. Other work by the same group has involved theoretical studies of competitive gas-phase 5 n2 and E2 reactions of NCCH2CH2CI with HO and An ab initio method at the 6-31-l-G level was... 

There are five papers on carbamate chemistry of interest.6,84-87 The mechanism of the reaction in MeCN of /V-mcthyI-/V-phcnyIcarbamoyI chlorides (94) with benzyl-amines is believed to be Sf2 based on Hammett p values, a cross-interaction constant pxy of —0.14, ka/ko values for the /V-dcutcriatcd benzylamines all <1, and low activation enthalpies.84 The aminolysis of /7-nitrophcnyl /V-phenylcarbamatcs in acetonitrile involving the T1 (7) was discussed earlier.6 Solvolysis-decomposition of N- -adamantyl-/V-/7-tolylcarbamoyl chloride (95) in hydroxylic solvents involves a facile slow ionization (SWl mechanism) giving a cation which eliminates ArNCO to... 

Cross-interaction Constants and Transition-state Structure in Solution... 

Kinetic studies at 100 °C revealed that ethyl /V-ethylthionocarbamate, EtOC(S)NHEt, was hydrolysed in acid by an Al mechanism and in base by a BAc2 mechanism.53 The concerted mechanism proposed for the aminolysis at 30 °C in MeCN of aryl /V-ethyl thionocarbamates, (XC6H40)C(S)NHEt, by benzylamine was supported by a negative cross-interaction constant, pxz = —0.87 and failure of the reactivity-selectivity principle.54 Similar conclusions, for the same reasons, were made for the aminolysis of the corresponding thiolocarbamates, (XC6H4S)C(0)NIIFL, by benzylamine in MeCN at 10 °C.55... 

The reaction was found to be first order with respect to amines and acrylamides and no base catalysis was observed. The reaction is believed to occur in a single step in which the addition of amine to Cp of acrylamide and proton transfer from amine to Ca of acrylamide take place concurrently with a four-membered cyclic transition-state structure. The Hammett (px) and Brpnsted (/3X) coefficients are rather small, suggesting an early transition state (TS). The sign and magnitude of the cross-interaction constant, pxy(= —0.26), is comparable to those found in the bond formation processes in the. S n2 and addition reactions. The normal kinetic isotope effect ( h/ d > 1.0) and relatively low A and large negative Avalues are also consistent with the mechanism proposed.192... 

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