Firstly, I calculate the DFT optimization of the cis and trans isomers, separately, NOW, What should i do to predict the ratio or the more stable of cis/trans isomer ???
You should also performed frequency calculation of both isomers and you will get details of thermochemistry. From these varios energy values i think you resolve your problem.
Its very easy. Calculate de frequencies, of both isomers, and them you will obtain the free gibbs energies values. Using the gibbs free energy values of both isomers you can calculate the delta G and by equation dG=-RTlnK calculate the equilibrium constant and the rate of the isomers.
Thanks Very much for your valuable answer dear Prof. Dr. Rafid Al-Asadi
I can calculate the HOMO-LUMO energy gap, BUT How can i calculate the Heat of formation and Binding energy for each of cis and trans isomer separately after geometry optimization
You can do this by performing the geometry optimization of each isomer separately in order to know the energy level of it and this process is done through draw the cis and trans compound .
Heat of formation can be obtained by atomization or isodesmic methods but isodesmic reaction method is better than atomization.Binding energy for each of cis and trans isomers are calculated by binding energy formula and the parameter involved in BE equation can be obtained from thermochemistry part of frequency calculations.