Two things about your excellent poster.  Firstly, is the energy 
diffence between ground states of the bridgehead N-oxides 6 cal/mol or 
6 kcal/mol.  I any case the ability of STO-3G calculations to describe 
such a system is probably limited.  A higher level of calculation  is 
called for and particularly so if you are going to look at the 
transition states which would be biradicaloid in nature. Secondly,  is 
the first step of the Meisenheimer rearrangement really reversible.  
If so then that would imply that the difference in rates lies in the 
position of the respective equilibria.  Since there is probably little 
barrier to rotation about the C-N bond in the ruptured  biradical 
form, the same equilibrium ought to be obtained from either isomer and 
hence the same overall rate of conversion.  You could test this by 
isolating unreacted material from either pure isomer and determining 
if it had isomerised to a mixture. I wonder whether in this case the 
first step is simply irreversible and you are just looking at a 
kinetic effect.
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