Optical isomerism is exhibited by only those complexes in which elements of symmetry are absent. Octahedral complexes of the types [M(aa)3], [M(aa)x2,y2] and [M(aa)2x2] have absence of elements of symmetry, thus exhibit optical isomerism. Here, aa represents bidentate ligand, x or y represents monodentate ligand and M represents central metal ion.
Hence, [Co(NH3)3Cl3]0 due to presence of symmetry elements does not exhibit optical isomerism.
or
Octahedral complexes of [M(AA)2B2] type, e.g. [Co(en)2Cl2]+,[M(AA)B2C2] type, e.g. [Co(en)Cl2(NH3)2] and [M(AA)3] type, e.g. [ Co(en )3]3+ show optical isomensim, whereas complexes of [MA3B3] type, e.g. [Co(NH3)Cl2]0 do not show optical isomerism.