For cycle zero:
9. = 0
Ooit =0
For each cycle:
0,, uses the 0,, from the previous cycle
O= In (-atv + 1)
a2
This model has no saturation point, and fractional coverage is allowed to proceed past
unity. The first few terms of the inlet fractional coverage (Oin values), letting 8/ = avt
and y = exp(aA90), are:
, =[i]ln[+(/+r) )
This repetition inside the natural log term can be compactly described as:
U.= -+(U,,)Y
U1.+ = 8 +(U,,)
Unfortunately, there is no closed-form solution for this recursive relationship; however,
the equation can be easily used computationally. Figure AC-1 is the Elovich numerical
model solution fit to the data from Figure 3-2.