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- 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.In your own words, explain why an object that has more symmetry elements is said to have higher symmetry than an object with fewer symmetry elements.Linearly polarized light can be assigned a specific irreducible representation of a symmetry point group. If the electronic ground state of methane has A1g symmetry and x- polarized light has the label T2, what are the symmetry labels of allowed excited electronic states? Use the Td character table in Appendix 3.
- a Unlike methane, bromochlorofluoromethane (CHBrClF) is chiral. Determine all symmetry elements that are present in CHBrClF and identify its point group. b If the fluorine in this molecule were substituted with a hydrogen atom, what is the point group for the new molecule? Is it chiral?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 the point groups of the following molecules. a Fe(CO)5, which has a trigonal bipyramidal structure, b CO32, which has three resonance structures that contribute to its overall shape, c The perfectly staggered conformation of ethane, d The perfectly eclipsed conformer of ethane.
- 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?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=?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.
- How to determine symmetry elements, σh and σν and how to differentiate between both. Also , how is σh related to E.How many symmetry elements/ operations can decide symmetry of a molecule? Explain with appropriate examples.Using appropriate diagram(s), show which of the symmetry operation(s) does the [SO4]2- ion have: (i) C4 (ii) σh (iii) S4.