The Markstein number with respect to the unburnt gas mixture for a one step reaction in the limit of large activation energy asymptotics was derived by Paul Clavin and Forman A. Williams in 1982. The Markstein number then is
where 
* is the heat release parameter defined with density ratio,
* is the Zel'dovich number,
* is the Lewis number of the deficient reactant (either fuel or oxidizer)
* is the dilogarithm function.
and the Markstein number with respect to the burnt gas mixture is derived by Clavin (1985)