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- 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 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.
- Determine if the following integrals can be nonzero if the molecular or atomic system has the given local symmetry. Use the great orthogonality theorem if necessary. a AuOB2uAud in D2h symmetry b A1OA1A2d in C3v symmetry c g+Oggd in Dh symmetry d EOA2T1d in Td symmetryDetermine 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, C6H12What is the bond order for the lowest excited state of H2+ ? From this single result, propose a general statement about unstable diatomic molecules and bond orders.
- The mutual exclusion rule states that for certain molecules, vibrations that are IR-active are not Raman-active, and vice versa. Molecules must have a certain symmetry element in order for the mutual exclusion rule to apply. Examine the character tables in Appendix 3 and determine what that symmetry element is.Linearly polarized light can be assigned a specific irreducible representation of a symmetry point group. If the electronic ground state of benzene has A1g symmetry and y- polarized light has the label E1u, what are the symmetry labels of allowed excited electronic states? Use the D6h character table in Appendix 3.The Cu(H2O)62+ complex has octahedral symmetry. Is a transition from a T2g state to an Eg state allowed if the transition moment operator has a T1u symmetry label?
- The SrH molecule in a 2+ electronic ground state. What are the term symbols of the electronic states that can be accessed by allowed electronic transitions?Determine the point group of the following molecules. a cis1,2 Dichloroethylene b trans1,2 Dichloroethylene c Toluene, C6H5CH3 d 1,3-Cyclohexadiene.Assume that x- polarized light can be assigned an E symmetry species in a system that has C4v symmetry. Can a transition from E state to a B2 state occur? Why or why not?