## heat capacity of activation, $$\Delta ^{\ddagger}C_{p}^{\,\unicode{x26ac}}$$

https://doi.org/10.1351/goldbook.H02754
A quantity related to the temperature @C01124@ of $$\Delta ^{\ddagger}H$$ (@E02142@) and $$\Delta ^{\ddagger}S$$ (@E02150@) according to the equations: $\Delta ^{\ddagger}C_{p} = (\frac{\partial \Delta ^{\ddagger }H}{\partial T})_{p}=T\ (\frac{\partial \Delta ^{\ddagger }S}{\partial T})_{p}$ If the @R05138@ is expressible in the form $\ln k = \frac{a}{T}+b+c\ \ln T + \text{d}T,$ then: $\Delta ^{\ddagger}C_{p} = (c - 1)\ R+2\ \text{d}(R\ T)$ SI unit: $$\text{J mol}^{-1}\ \text{K}^{-1}$$.
Sources:
PAC, 1994, 66, 1077. (Glossary of terms used in physical organic chemistry (IUPAC Recommendations 1994)) on page 1120 [Terms] [Paper]
PAC, 1996, 68, 149. (A glossary of terms used in chemical kinetics, including reaction dynamics (IUPAC Recommendations 1996)) on page 168 [Terms] [Paper]