https://doi.org/10.1351/goldbook.E02142
The standard enthalpy of activation ΔH is the enthalpy change that appears in the thermodynamic form of the rate equation obtained from conventional transition state theory. This equation is only correct for a first order reaction, for which the rate constant has the dimension reciprocal time. For a second order reaction, for which the rate constant has the dimension (reciprocal time) × (reciprocal concentration), the left hand side should be read as k c, where c denotes the standard concentration (usually 1 moldm3). k=kB Th eΔSR eΔHR T The quantity ΔS is the standard entropy of activation, and care must be taken with standard states. In this equation kB is the Boltzmann constant, T the absolute temperature, h the Planck constant, and R the gas constant. The enthalpy of activation is approximately equal to the activation energy; the conversion of one into the other depends on the molecularity. The enthalpy of activation is always the standard quantity, although the word standard and the superscript on the symbol are often omitted. The symbol is frequently (but incorrectly) written ΔH, where the standard symbol is omitted and the is placed after the H.
Sources:
Green Book, 2nd ed., p. 56 [Terms] [Book]
PAC, 1993, 65, 2291. (Nomenclature of kinetic methods of analysis (IUPAC Recommendations 1993)) on page 2294 [Terms] [Paper]
PAC, 1994, 66, 1077. (Glossary of terms used in physical organic chemistry (IUPAC Recommendations 1994)) on page 1113 [Terms] [Paper]
PAC, 1996, 68, 149. (A glossary of terms used in chemical kinetics, including reaction dynamics (IUPAC Recommendations 1996)) on page 164 [Terms] [Paper]