Table 5.

Kinetico-thermodynamic invariants for a two-step consecutive mechanism, calculated from three different initial conditions.

Arguments of the F function	Invariant
$\left\{A_A,B_A,B_B,C_C\right\}$	$-\frac{\left(1+K_{12}\right)\left(K_2+K_{12}\right){\mathsf{\kappa }}_{\mathrm{in}}}{\left(1+K_2\right)\left(K_{12}+K_1\left(-1+{\mathsf{\kappa }}_{\mathrm{in}}\right)+{\mathsf{\kappa }}_{\mathrm{in}}\right)}$
$\left\{A_A,B_B,A_A,C_C\right\}$	$\frac{\left(1+K_1\right)K_2\left(K_{12}+K_1\left(1-{\mathsf{\kappa }}_{\mathrm{in}}\right)+{\mathsf{\kappa }}_{\mathrm{in}}\right)}{\left(1+K_{12}\right)\left(K_1+K_{12}-\left(1+K_1\right){\mathsf{\kappa }}_{\mathrm{in}}\right)}$
$\left\{A_A,B_B,C_A,C_C\right\}$	$\frac{\left(1+K_1\right)K_2\left(K_{12}+K_1\left(1-{\mathsf{\kappa }}_{\mathrm{in}}\right)+{\mathsf{\kappa }}_{\mathrm{in}}\right)}{\left(1+K_{12}\right)\left(K_1+K_{12}\right)}$
$\left\{A_A,B_B,B_C,C_C\right\}$	$-\frac{\left(1+K_1\right)K_2\left(K_{12}+K_1\left(1-{\mathsf{\kappa }}_{\mathrm{in}}\right)+{\mathsf{\kappa }}_{\mathrm{in}}\right)}{\left(1+K_2\right)\left(1+K_{12}\right)}$