File Name : fig. s1.tif Caption : fig.s1 comparison of the absorption spectra of complex 2 computed by four various functions of theory. File Name : fig. s2.tif Caption : fig.s2 molecular orbitals related to the main excited states for all studied complexes. File Name : fig. s3.tif Caption : fig.s3 the βtot values of all studied complexes by using the cam-b3lyp and ωb97xd functionals with 6-31+g(d) basis set.