For a more general reaction A + B C + D, the equilibrium constant is given by
K = q Cq D / qA q B e
(33.20)
where
E0 = (E0 ) C + (E0)D - (E0)A - (E0)B
(33.21)
When we have a reaction such as A + B C, the equilibrium constant given by
K = (NA qC / qA qB) e
(33.22)
Where E0 = (E0 ) C - (E0)A - (E0)B. Here NA is the Avogadro number.
Returning to eq (33.4), k2 = k K, the unimolecular rate constant k is taken as proportional to the vibrational frequency along the reaction coordinate
k =
The partition functions for this vibrational motion of the transition state is
( q V )C = 1/ (1- e
)
(33.24)
Usually this frequency is quite small because the transition state falls apart into products with this frequency-Very high frequencies of the transition state are improbable and they would lead, not to the usual products but to rather highly disintegrated products.
C + D, the equilibrium constant is given by 
E
, the equilibrium constant given by 
) 
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