Find/show all possible symmetry operations and the point group of the following compounds by drawing their molecular structures. Additionally, decide whether the molecule is chiral or not. i) Decacarbonyldimanganese(0) ii) S4N4 iii) S2O8-2 iv) B2H6 v) Hydrazine
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- Construct the symmetry-adapted linear combination molecular orbitals for hydrogen sulfide, H2S.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.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.
- 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 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.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.
- Structural isomers can have very different point groups. There are three isomers of dichlorobenzene. Identify the point groups of the three isomers.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, C6H12Identify 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.
- Explain why a molecule with a center of inversion cannot have a dipole moment.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.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?