Permutational interconversions

Reductive insertion Z (leaving group) Permutational interconversion... 

It is a particular advantage of the permutation descriptors that they do not only represent configurations, but provide also a basis for the representation of configuration interconversions. The permutational isomerization (PI) of a configuration A into a configuration B is described by the isomerizer Iab = Pb Pa 1, with Pa and Pb being the permutation descriptors of A and B. 

What makes the permutation approach so attractive is the ease of execution and the mild reaction conditions. A possible drawback is its moderate exothermicity which may prevent the interconversion to go to completion but rather to stop as soon as an equilibrium composition is attained. Moreover, to rely on an organometallic exchange reagent merely defers the problem. Ultimately, the genesis of any organometallic compound can be traced back to the elemental metal. 

Bromo- and iodoarenes are the oldest and most typical substrates for permutational halogen/metal interconversions. Butyllithium is routinely used for this purpose (Table 16). Hetero-substituents such as dialkylamino or bis(trialkylsilyl)amino, cyano or nitro (Table 17), alkoxy and 2-tetrahydropyranyloxy (Table 18), lithiooxy or lithiooxycarbonyl (Table 19) and fluoro or trifluoromethyl (Table 20) and chloro, bromo or iodo (Table 21) are well tolerated. 

Three distinct sets of linear mappings for the partial 3-positivity matrices in Eqs. (31)-(36) are important (i) the contraction mappings, which relate the lifted metric matrices to the 2-positive matrices in Eqs. (27)-(29) (ii) the linear interconversion mappings from rearranging creation and annihilation operators to interrelate the lifted metric matrices and (iii) antisymmetry (or symmetry) conditions, which enforce the permutation of the creation operators for fermions (or bosons). Note that the correct permutation of the annihilation operators is automatically enforced from the permutation of the creation operators in (iii) by the Hermiticity of the matrices. 

C. Permutational Metal/Metal Salts Interconversions (Transmetallations). . . 445... 

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