isokinetic relationship

https://doi.org/10.1351/goldbook.I03285
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: $\Delta ^{\ddagger}H - \beta \ \Delta ^{\ddagger }S = \text{constant}$ where the parameter β is independent of temperature. This equation (or some equivalent form) is said to represent an 'isokinetic relationship'. The temperature T = β (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 Δ‡H with Δ‡S are often spurious and the calculated value of β is meaningless, because errors in Δ‡H lead to compensating errors in Δ‡S. Satisfactory methods of establishing such relationships have been devised.