The exponential energy dependence is usually then combined with the partition function of the TS species that reflect this speciesother 3N-7 vibrational coordinates and momenta and the reaction rate is then expressed as Rate=K(kT/h)AB*=K(kT/h)(gaB//(qA/V(qB/AJb] This implies that the rate coefficient krate for this bimolecular reaction is given in terms of molecular partition functions by krate K kT/h(qaB V)/(n/v(qB/v)i which is the fundamental result of TsT. Once again we notice that ratios of partition functions per unit volume can be used to express ratios of species concentrations(in number of molecules per unit volume), just as appeared in earlier expressions equilibrium constants as in Chapter 7 The above rate expression undergoes only minor modifications when unimolecular reactions are considered. For example, in the hypothetical reaction A>B via the tS(A"), one obtains krat K kT/hI(qA V(qav)) where again qa is a partition function of A* with one missing vibrational component7 The exponential energy dependence is usually then combined with the partition function of the TS species that reflect this species’ other 3N-7 vibrational coordinates and momenta and the reaction rate is then expressed as Rate = k (kT/h) [AB*] = k (kT/h) (qAB* /V)/{(qA/V)( qB /V)} [A] [B]. This implies that the rate coefficient krate for this bimolecular reaction is given in terms of molecular partition functions by: krate = k kT/h (qAB*/V)/{(qA/V)(qB /V)} which is the fundamental result of TST. Once again we notice that ratios of partition functions per unit volume can be used to express ratios of species concentrations (in number of molecules per unit volume), just as appeared in earlier expressions for equilibrium constants as in Chapter 7. The above rate expression undergoes only minor modifications when unimolecular reactions are considered. For example, in the hypothetical reaction A ® B via the TS (A*), one obtains krate = k kT/h {(qA*/V)/(qA/V)}, where again qA* is a partition function of A* with one missing vibrational component