Arrhenius Equation
Rate constants from transition state theory k = kT/h exp(-dG*/kT) (assume kappa = 1)
------------------------------------------ activation free energy (kcal/mol) | rate constant at 300K | | timescale (1/k) | | | dG* k (s^-1) t (s) ------------------------------------------ 1 1.2E+12 0.86 ps 5 1.4E+09 0.70 ns 10 3.2E+05 3.1 us 15 7.4E+01 14 ms 20 1.7E-02 59 s 25 3.8E-06 3.0 days 30 8.7E-10 35 years ------------------------------------
Equilibrium free energy differences A <=> B Keq = [B] / [A] dG = - Na * kT ln ( Keq )
------------------------------- dG (kcal/mol) keq (300K) ------------------------------- -1.37 10 0.5 0.43 1 0.19 2 0.035 3 0.0065 4 0.0012 5 2.3E-4 10 5.2E-8 20 2.7E-15 -------------------------------
------------------------------------------ activation free energy (kcal/mol) | rate constant at 300K | | timescale (1/k) | | | dG* k (s^-1) t (s) ------------------------------------------ 1 1.2E+12 0.86 ps 5 1.4E+09 0.70 ns 10 3.2E+05 3.1 us 15 7.4E+01 14 ms 20 1.7E-02 59 s 25 3.8E-06 3.0 days 30 8.7E-10 35 years ------------------------------------
Equilibrium free energy differences A <=> B Keq = [B] / [A] dG = - Na * kT ln ( Keq )
------------------------------- dG (kcal/mol) keq (300K) ------------------------------- -1.37 10 0.5 0.43 1 0.19 2 0.035 3 0.0065 4 0.0012 5 2.3E-4 10 5.2E-8 20 2.7E-15 -------------------------------