Inorganic Chemistry: Symmetry

3049) In the Td point group, a clockwise S4 operation using the axis shown
converts the atom labeled 1 into which position?

1, 2, **3**, 4

The S4 operation carried out twice in succession, S4^{2}, converts
the atom labeled 1 into which position?

1, **2**, 3, 4

The S4 operation carried out three times in succession, S4^{3},
converts the atom labeled 1 into which position?

1, 2, 3, **4**

The S4 operation carried out four times in succession, S4^{4}, converts
the atom labeled 1 into which position?

**1**, 2, 3, 4

The operation S4^{2} is equivalent to which operation?

E, **C2**, sigma d

3050) What is the point group associated with each of
the following conformations of ethane, shown below as Newman projections?

**Demonstration:** Some tetrahedral models can be linked together
to examine the ethane confomers (e.g. Darling models)

3051) **Demonstration:** Pass out plastic tetrahedra,
octahedra, and rubber bands, which can be used to represent chelating ligands.
A flow chart for assigning point groups can be made available.

For the following tetrahedron- or octahedron-based compounds, where M is
a central atom, A and B are distinct monodentate ligands and (A^A) is a
chelating bidentate ligand, name the point group to which each of the following
species belong:

M(A^A)B2: **C2v**, D2, D2d

MA2B2: **C2v**, D2, D2d

M(A^A)B4: **C2v**, D2, D2d

trans-MA2B4: C4v, D4, **D4h**

cis-MA2B4: **C2v**, D2, D2d

M(A^A)3: C3v, **D3**, D3d

3052) Using the sigma bonds of [MnCl_{4}]^{2-}
as a basis set, determine the characters of their corresponding reducible
representation:

3053) **Demonstration:** Some octahedral models can
be linked together to examine the structure below.

To what point group does the staggered S2F10 structure, shown in two
different views above, belong?

C4v, D4,** D4d**, D4h

3054) If an octahedron is distorted by stretching along
the C3 axis, what is the resulting point group?
C3v, D3, **D3d**, D3h

If it is stretched instead along the C4 axis, what is the resulting point
group?

C4v, D4, D4d, **D4h **

3055) From the character table below, how many sets of
d orbitals are there in Oh symmetry?
1, **2**, 3

3056) From the character table below, how many sets of
d orbitals are there in D3h symmetry?
1, 2, **3**

3059) Are three sequential S3 operations equivalent to
the identity operation, E?

yes, **no**

More questions are needed for this section. Please submit contributions
to *concept@chem.wisc.edu*..