H+

H+

CH3 First kinetic model for isomerization

CH3

CH3

+ H+ CH3

H+

CH3 H+

+

CH3

CH3

H+ H+ CH3

H+

CH3

CH3 CH3 +

kp

ko

Second kinetic model for disproportionation

CH3

CH3

H+

H+ +

CH3

CH3

CH3

CH3 CH3

CH3

H+

CH3

CH3

H+ CH3

CH3 H+

CH3

CH3

CH3

CH3 CH3

CH3

CH3 -H+

CH3

CH3

CH3

CH3

CH3

CH3 ki

k-i

ks

C6H5CH3 C6H3(CH3)3

ks

Triangular model for isomerization and disproportionation