When a series of structurally related substrates undergo the same general reaction or when the reaction conditions for a single substrate are changed in a systematic way, the enthalpies and entropies of activation sometimes satisfy the relation
![[Delta]](/img3/I_files/DDELTA.gif)
H - ![[beta]](/img3/I_files/BETA.gif)
![[Delta]](/img3/I_files/DDELTA.gif)
S = constant
where the parameter
is independent of temperature. This equation (or some equivalent form) is said to represent an "isokinetic relationship". The temperature T =
(at which all members of a series obeying the isokinetic relationship react at the same rate) is termed the "isokinetic temperature".
Supposed isokinetic relationships as established by direct correlation of ![[Delta]](/img3/I_files/DDELTA.gif)
H with ![[Delta]](/img3/I_files/DDELTA.gif)
S are often spurious and the calculated value of
is meaningless, because errors in ![[Delta]](/img3/I_files/DDELTA.gif)
H lead to compensating errors in ![[Delta]](/img3/I_files/DDELTA.gif)
S. Satisfactory methods of establishing such relationships have been devised. EXNER (1973); LEFFLER (1955). See also compensation effect, isoequilibrium relationship, isoselective relationship.