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- Construct the symmetry-adapted linear combination molecular orbitals for hydrogen sulfide, H2S.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?
- 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 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.Identify the symmetry elements present in the following objects. a The Eiffel Tower. You may have to look up a picture of it if you dont remember its shape b Any book ignore the printing. c An octagonal wood block. d A jack from the set of jacks pictured here: Note that some of the points end differently.
- Assume that you are evaluating the integral of products of functions having symmetry labels in exercise 13.60, parts a-d. Which integrals, if any, are exactly zero due to symmetry considerations?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?What 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.
- Identify the symmetry elements present in the following objects. a A ream of blank paper, no holes. b A ream of blank three-holed paper. c A round pencil, unsharpened, with cylindrical eraser. d A round pencil, sharpened, with cylindrical eraser.Determine the D3h symmetry species of the sp3d 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.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?