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- Determine which single symmetry operation of the following point groups is equivalent to the given combination of multiple symmetry operations. a In C2v, C2v=? b In C2h, iC2=? c In D6h, C6h=? d In D2d, C2C2=? e In Oh, iS4=?a In the Td point group, an S41 improper rotation is equivalent to what other improper rotation? b In the D6h point group, the symmetry operation labeled C21 is equivalent to what other symmetry operation?Figure 13.27 shows the structure of the molecule porphine. Figure 13.27 The structure of porphine. Determine the symmetry elements present in the molecule, and its point group. Does the point group change if an Fe2+ ion is substituted for the two hydrogen atoms in the center of the porphine ring?
- Determine the point group of the following molecules. a cis1,2 Dichloroethylene b trans1,2 Dichloroethylene c Toluene, C6H5CH3 d 1,3-Cyclohexadiene.Determine the symmetry species of the D3h point group for the sp2 hybrid orbitals, assuming that the C3 axis is coincident with the z-axis and that one of the orbitals lies along the positive x-axis. See Example 13.16.Construct the symmetry-adapted linear combination molecular orbitals for hydrogen sulfide, H2S.
- Determine the point groups of the following molecules. a Hydrogen selenide, H2Se b Partially deuterated hydrogen sulfide, or HDS c The chair conformer of cyclohexane, C6H12 d The boat conformer of cyclohexane, C6H12Structural isomers can have very different point groups. There are three isomers of dichlorobenzene. Identify the point groups of the three isomers.Show that any two of the irreducible representations of the following point groups are orthogonal to each other. a C2 b C2v c D2h d Oh e Td
- Identify the point group of the wave functions of the following molecules. a Hydrogen chloride, HCl b Sulfur dioxide, SO2 c Sulfur trioxide, SO3Identify the point group of the wave functions of the following molecules. a Deuterium oxide, D2O where D=2H b Boron trichloride, BCl3 c Phosphorous trichloride, PCl3Why is it unnecessary to consider whether an irreducible representation from C4h is orthogonal to an irreducible representation of D6h?